§ 20.2031-7A - Valuation of annuities, interests for life or a term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is before June 1, 2023.


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  • § 20.2031-7A Valuation of annuities, interests for life or a term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is before May June 1, 20092023.

    (a) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is before January 1, 1952. Except as otherwise provided in § 20.2031–7(b), if the valuation date of the decedent's gross estate is before January 1, 1952, the present value of annuities, life estates, terms for years, remainders, and reversions is their present value determined under this section. If the valuation of the interest involved is dependent upon the continuation or termination of one or more lives or upon a term certain concurrent with one or more lives, the factor for the present value is computed on the basis of interest at the rate of 4 percent a year, compounded annually, and life contingencies as to each life involved from values that are based on the Actuaries' or Combined Experience Table of Mortality, as extended. This table and related factors are described in former § 81.10 (as contained in the 26 CFR part 81 edition revised as of April 1, 1958). The present value of an interest measured by a term of years is computed on the basis of interest at the rate of 4 percent a year.

    (b) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after December 31, 1951, and before January 1, 1971. Except as otherwise provided in § 20.2031–7(b), if the valuation date for the decedent's gross estate is after December 31, 1951, and before January 1, 1971, the present value of annuities, life estates, terms of years, remainders, and reversions is their present value determined under this section. If the valuation of the interest involved is dependent upon the continuation or termination of one or more lives, or upon a term certain concurrent with one or more lives, the factor for the present value is computed on the basis of interest at the rate of 312 percent a year, compounded annually, and life contingencies as to each life involved are taken from U.S. Life Table 38. This table and related factors are set forth in former § 20.2031–7 (as contained in the 26 CFR part 20 edition revised as of April 1, 1984). Special factors involving one and two lives may be found in or computed with the use of tables contained in the publication entitled “Actuarial Values for Estate and Gift Tax,” Internal Revenue Service Publication Number 11 (Rev. 5–59). This publication is no longer available for purchase from the Superintendent of Documents. However, it may be obtained by requesting a copy from: CC:DOM:CORP:T:R (IRS Publication 11), room 5228, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044. The present value of an interest measured by a term of years is computed on the basis of interest at the rate of 312 percent a year.

    (c) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after December 31, 1970, and before December 1, 1983. Except as otherwise provided in § 20.2031–7(b), if the valuation date of the decedent's gross estate is after December 31, 1970, and before December 1, 1983, the present value of annuities, life estates, terms of years, remainders, and reversions is their present value determined under this section. If the valuation of the interest involved is dependent upon the continuation of or termination of one or more lives or upon a term certain concurrent with one or more lives, the factor for the present value is computed on the basis of interest at the rate of 6 percent a year, compounded annually, and life contingencies are determined as to each male and female life involved, from values that are set forth in Table LN. Table LN contains values that are taken from the life table for total males and the life table for total females appearing as Tables 2 and 3, respectively, in United States Life Tables: 1959–1960, published by the Department of Health and Human Services, Public Health Service. Table LN and related factors are set forth in former § 20.2031–10 (as contained in the 26 CFR part 20 edition revised as of April 1, 1994). Special factors involving one and two lives may be found in or computed with the use of tables contained in Internal Revenue Service Publication 723, “Actuarial Values I: Valuation of Last Survivor Charitable Remainders,” (12–70), and Internal Revenue Service Publication 723A, “Actuarial Values II: Factors at 6 Percent Involving One and Two Lives,” (12–70). These publications are no longer available for purchase from the Superintendent of Documents. However, a copy of each may be obtained from: CC:DOM:CORP:T:R (IRS Publication 723/723A), room 5228, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044.

    (d) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after November 30, 1983, and before May 1, 1989

    (1) In general.

    (i) Except as otherwise provided in § 20.2031–7(b), if the decedent died after November 30, 1983, and the valuation date for the gross estate is before May 1, 1989, the fair market value of annuities, life estates, terms of years, remainders, and reversions is their present value determined under this section. If the decedent died after November 30, 1983, and before August 9, 1984, or, in cases where the valuation date of the decedent's gross estate is before May 1, 1989, if, on December 1, 1983, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent died on or after December 1, 1983, without having regained competency to dispose of the decedent's property, or if the decedent died within 90 days of the date on which the decedent first regained competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of such decedent is their present value determined under either this section or § 20.2031–7A(c), at the option of the taxpayer. The value of annuities issued by companies regularly engaged in their sale, and of insurance policies on the lives of persons other than the decedent, is determined under § 20.2031–8. The fair market value of a remainder interest in a charitable remainder unitrust, as defined in § 1.664–3 of this chapter, is its present value determined under § 1.664–4 of this chapter. The fair market value of a life interest or term for years in a charitable remainder unitrust is the fair market value of the property as of the date of valuation less the fair market value of the remainder interest on such date determined under § 1.664–4 of this chapter. The fair market value of the interests in a pooled income fund, as defined in § 1.642(c)–5 of this chapter, is their value determined under § 1.642(c)–6 of this chapter.

    (ii) The present value of an annuity, life estate, remainder, or reversion determined under this section which is dependent on the continuation or termination of the life of one person is computed by the use of Table A in paragraph (d)(6) of this section. The present value of an annuity, term for years, remainder, or reversion dependent on a term certain is computed by the use of Table B in paragraph (d)(6) of this section. If the interest to be valued is dependent upon more than one life or there is a term certain concurrent with one or more lives, see paragraph (d)(5) of this section. For purposes of the computations described in this section, the age of a person is to be taken as the age of that person at his or her nearest birthday.

    (iii) In all examples set forth in this section, the decedent is assumed to have died on or after August 9, 1984, with the valuation date of the decedent's gross estate before May 1, 1989, and to have been competent to change the disposition of the property on December 1, 1983.

    (2) Annuities.

    (i) If an annuity is payable annually at the end of each year during the life of an individual (as for example if the first payment is due one year after the decedent's death), the amount payable annually is multiplied by the figure in column 2 of Table A opposite the number of years in coumn 1 nearest the age of the individual whose life measures the duration of the annuity. If the annuity is payable annually at the end of each of year for a definite number of years, the amount payable annually is multiplied by the figure in column 2 of Table B opposite the number of years in column 1 representing the duration of the annuity. The application of this paragraph (d)(2)(i) may be illustrated by the following examples:

    Example (1).

    The decedent received, under the terms of the decedent's father's will an annuity of $10,000 a year payable annually for the life of the decedent's elder brother. At the time the decedent died, an annual payment had just been made. The brother at the decedent's death was 40 years eight months old. By reference to Table A, the figure in column 2 opposite 41 years, the number nearest to the brother's actual age, is found to be 9.1030. The present value of the annuity at the date of the decedent's death is, therefore, $91,030 ($10,000 × 9.1030).

    Example (2).

    The decedent was entitled to receive an annuity of $10,000 a year payable annually throughout a term certain. At the time the decedent died, the annual payment had just been made and five more annual payments were still to be made. By reference to Table B, it is found that the figure in column 2 opposite five years is 3.7908. The present value of the annuity is, therefore, $37,908 ($10,000 × 3.7808).

    (ii) If an annuity is payable at the end of semiannual, quarterly, monthly, or weekly periods during the life of an individual (as for example if the first payment is due one month after the decedent's death), the aggregate amount to be paid within a year is first multiplied by the figure in column 2 of Table A opposite the number of years in column 1 nearest the age of the individual whose life measures the duration of the annuity. The product so obtained is then multiplied by whichever of the following factors is appropriate:

    1.0244 for semiannual payments,

    1.0368 for quarterly payments,

    1.0450 for monthly payments,

    1.0482 for weekly payments.

    If the annuity is payable at the end of semiannual, quarterly, monthly, or weekly periods for a definite number of years, the aggregate amount to be paid within a year is first multiplied by the figure in column 2 of Table B opposite the number of years in column 1 representing the duration of the annuity. The product so obtained is then multiplied by whichever of the above factors is appropriate. The application of this paragraph (d)(2)(ii) may be illustrated by the following example:

    Example.

    The facts are the same as those contained in example (1) set forth in paragraph (d)(2)(i) of this section, except that the annuity is payable semiannually. The aggregate annual amount, $10,000, is multiplied by the factor 9.1030 and the product multiplied by 1.0244. The present value of the annuity at the date of the decedent's death is, therefore, $93,251.13 ($10,000 × 9.1030 × 1.0244).

    (iii)

    (A) If the first payment of an annuity for the life of an individual is due at the beginning of the annual or other payment period rather than at the end (as for example if the first payment is to be made immediately after the decedent's death), the value of the annuity is the sum of (A) the first payment plus (B) the present value of a similar annuity, the first payment of which is not to be made until the end of the payment period, determined as provided in paragraphs (d)(2)(i) or (ii) of this section. the application of this paragraph (d)(2)(iii)(A) may be illustrated by the following example:

    Example.

    The decedent was entitled to receive an annuity of $50 a month during the life of another person. The decedent died on the date the payment was due. At the date of the decedent's death, the person whose life measures the duration of the annuity was 50 years of age. The value of the annuity at the date of the decedent's death is $50 plus the product of $50 × 12 × 8.4743 (see Table A) × 1.0450 (See paragraph (d)(2)(ii) of this section). That is $50 plus $5,313.39, or $5,363.39.

    (B) If the first payment of an annuity for a definite number of years is due at the beginning of the annual or other payment period, the applicable factor is the product of the factor shown in Table B multiplied by whichever of the following factors is appropriate:

    1.1000 for annual payments,

    1.0744 for semiannual payments,

    1.0618 for quarterly payments,

    1.0534 for monthly payments,

    1.0502 for weekly payments.

    The application of this paragraph (d)(2)(iii)(B) may be illustrated by the following example:

    Example.

    The decedent was the beneficiary of an annuity of $50 a month. On the day a payment was due, the decedent died. There were 300 payments to be made, including the payment due. The value of the annuity as of the date of decedent's death is the product of $50 × 12 × 9.0770 (see Table B) × 1.0534, or $5,737.03.

    (3) Life estates and terms for years. If the interest to be valued is the right of a person for his or her life, or for the life of another person, to receive the income of certain property or to use nonincome-producing property, the value of the interest is the value of the property multiplied by the figure in column 3 of Table A opposite the number of years nearest to the actual age of the measuring life. If the interest to be valued is the right to receive income of property or to use nonincome-producing property for a term of years, column 3 of Table B is used. The application of this paragraph (d)(3) may be illustrated by the following example:

    Example.

    The decedent or the decedent's estate was entitled to receive the income from a fund of $50,000 during the life of the decedent's elder brother. Upon the brother's death, the remainder is to go to B. The brother was 31 years, five months old at the time of decedent's death. By reference to Table A the figure in column 3 opposite 31 years is found to be 0.95254. The present value of the decedent's interest is, therefore, $47,627 ($50,000 × 0.95254).

    (4) Remainders or reversionary interests. If a decedent had, at the time of the decedent's death, a remainder or a reversionary interest in property to take effect after an estate for the life of another, the present value of the decedent's interest is obtained by multiplying the value of the property by the figure in column 4 of Table A opposite the number of years nearest to the actual age of the person whose life measures the preceding estate. If the remainder or reversion is to take effect at the end of the term for years, column 4 of Table B is used. The application of this paragraph (d)(4) may be illustrated by the following example:

    Example.

    The decedent was entitled to receive certain property worth $50,000 upon the death of the decedent's elder sister, to whom the income was bequeathed for life. At the time of the decedent's death, the elder sister was 31 years five months old. By reference to Table A the figure in column 4 opposite 31 years is found to be .04746. The present value of the remainder interest at the date of the decedent's death is, therefore, $2,373 ($50,000 × .04746).

    (5) Actuarial computations by the Internal Revenue Service. If the valuation of the interest involved is dependent upon the continuation or the termination of more than one life or upon a term certain concurrent with one or more lives a special factor must be used. The factor is to be computed on the basis of interest at the rate of 10 percent a year, compounded annually, and life contingencies determined, as to each person involved, from the values of lx that are set forth in column 2 of Table LN of paragraph (d)(6). Table LN contains values of lx taken from the life table for the total population appearing as Table 1 of United States Life Tables: 1969–71, published by the Department of Health and Human Services, Public Health Service. Many special factors involving one and two lives may be found in or computed with the use of the tables contained in Internal Revenue Service Publication 723E, “Actuarial Values II: Factors at 10 Percent Involving One and Two Lives,” (12–83). This publication is no longer available for purchase from the Superintendent of Documents. However, it may be obtained by requesting a copy from: CC:DOM:CORP:T:R (IRS Publication 723E), room 5228, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044. However, if a special factor is required in the case of an actual decedent, the Commissioner will furnish the factor to the executor upon request. The request must be accompanied by a statement of the date of birth of each person, the duration of whose life may affect the value of the interest, and by copies of the relevant instruments. Special factors are not furnished for prospective transfers.

    (6) Tables. The following tables shall be used in the application of the provisions of this section:

    Table A—Single Life, Unisex, 10 Percent—Table Showing the Present Worth of an Annuity, of a Life Estate, and a Remainder Interest—Applicable for Transfers After November 30, 1983, and Before May 1, 1989

    (1) Age (2) Annuity (3) Life estate (4) Remainder
    09.7188.97188.02812
    19.8988.98988.01012
    29.9017.99017.00983
    39.9008.99008.00992
    49.8981.98981.01019
    59.8938.98938.01062
    69.8884.98884.01116
    79.8822.98822.01178
    89.8748.98748.01252
    99.8663.98663.01337
    109.8565.98565.01435
    119.8453.98453.01547
    129.8329.98329.01671
    139.8198.98198.01802
    149.8066.98066.01934
    159.7937.97937.02063
    169.7815.97815.02185
    179.7700.97700.02300
    189.7590.97590.02410
    199.7480.97480.02520
    209.7365.97365.02635
    219.7245.97245.02755
    229.7120.97120.02880
    239.6986.96986.03014
    249.6841.96841.03159
    259.6678.96678.03322
    269.6495.96495.03505
    279.6290.96290.03710
    289.6062.96062.03938
    299.5813.95813.04187
    309.5543.95543.04457
    319.5254.95254.04746
    329.4942.94942.05058
    339.4608.94608.05392
    349.4250.94250.05750
    359.3868.93868.06132
    369.3460.93460.06540
    379.3026.93026.06974
    389.2567.92567.07433
    399.2083.92083.07917
    409.1571.91571.08429
    419.1030.91030.08970
    429.0457.90457.09543
    438.9855.89855.10145
    448.9221.89221.10779
    458.8558.88558.11442
    468.7863.87863.12137
    478.7137.87137.12863
    488.6374.86374.13626
    498.5578.85578.14422
    508.4743.84743.15257
    518.3874.83874.16126
    528.2969.82969.17031
    538.2028.82028.17972
    548.1054.81054.18946
    558.0046.80046.19954
    567.9006.79006.20994
    577.7931.77931.22069
    587.6822.76822.23178
    597.5675.75675.24325
    607.4491.74491.25509
    617.3267.73267.26733
    627.2002.72002.27998
    637.0696.70696.29304
    646.9352.69352.30648
    656.7970.67970.32030
    666.6551.66551.33449
    676.5098.65098.34902
    686.3610.63610.36390
    696.2086.62086.37914
    706.0522.60522.39478
    715.8914.58914.41086
    725.7261.57261.42739
    735.5571.55571.44429
    745.3862.53862.46138
    755.2149.52149.47851
    765.0441.50441.49559
    774.8742.48742.51258
    784.7049.47049.52951
    794.5357.45357.54643
    804.3659.43659.56341
    814.1967.41967.58033
    824.0295.40295.59705
    833.8642.38642.61358
    843.6998.36998.63002
    853.5359.35359.64641
    863.3764.33764.66236
    873.2262.32262.67738
    883.0859.30859.69141
    892.9526.29526.70474
    902.8221.28221.71779
    912.6955.26955.73045
    922.5771.25771.74229
    932.4692.24692.75308
    942.3728.23728.76272
    952.2887.22887.77113
    962.2181.22181.77819
    972.1550.21550.78450
    982.1000.21000.79000
    992.0486.20486.79514
    1001.9975.19975.80025
    1011.9532.19532.80468
    1021.9054.19054.80946
    1031.8437.18437.81563
    1041.7856.17856.82144
    1051.6962.16962.83038
    1061.5488.15488.84512
    1071.3409.13409.86591
    1081.0068.10068.89932
    109.4545.04545.95455

    Table B—Term Certain, Unisex, 10 Percent—Table Showing the Present Worth of an Annuity for a Term Certain, of an Income Interest for a Term Certain, and of a Remainder Interest Postponed for a Term Certain—Applicable for Transfers After November 30, 1983, and before May 1, 1989

    (1) Number of years (2) Annuity (3) Term certain (4) Remainder
    1.9091.090909.909091
    21.7355.173554.826446
    32.4869.248685.751315
    43.1699.316987.683013
    53.7908.379079.620921
    64.3553.435526.564474
    74.8684.486842.513158
    85.3349.533493.466507
    95.7590.575902.424098
    106.1446.614457.385543
    116.4951.649506.350494
    126.8137.681369.318631
    137.1034.710336.289664
    147.3667.736669.263331
    157.6061.760608.239392
    167.8237.782371.217629
    178.0216.802155.197845
    188.2014.820141.179859
    198.3649.836492.163508
    208.5136.851356.148644
    218.6487.864869.135131
    228.7715.877154.122846
    238.8832.888322.111678
    248.9847.898474.101526
    259.0770.907704.092296
    269.1609.916095.083905
    279.2372.923722.076278
    289.3066.930657.069343
    299.3696.936961.063039
    309.4269.942691.057309
    319.4790.947901.052099
    329.5264.952638.047362
    339.5694.956943.043057
    349.6086.960857.039143
    359.6442.964416.035584
    369.6765.967651.032349
    379.7059.970592.029408
    389.7327.973265.026735
    399.7570.975696.024304
    409.7791.977905.022095
    419.7991.979914.020086
    429.8174.981740.018260
    439.8340.983400.016600
    449.8491.984909.015091
    459.8628.986281.013719
    469.8753.987528.012472
    479.8866.988662.011338
    489.8969.989693.010307
    499.9063.990630.009370
    509.9140.991481.008519
    519.9226.992256.007744
    529.9296.992960.007040
    539.9360.993600.006400
    549.9418.994182.005818
    559.9471.994711.005289
    569.9519.995191.004809
    579.9563.995629.004371
    589.9603.996026.003974
    599.9639.996387.003613
    609.9672.996716.003284

    Table LN—Applicable for Transfers After November 30, 1983, and Before May 1, 1989

    (1) Age X (2) lx
    0100,000
    197,998
    297,876
    397,792
    497,724
    597,668
    697,619
    797,573
    897,531
    997,494
    1097,460
    1197,430
    1297,401
    1397,367
    1497,322
    1597,261
    1697,181
    1797,083
    1896,970
    1996,846
    2096,716
    2196,580
    2296,438
    2396,292
    2496,145
    2596,000
    2695,859
    2795,721
    2895,586
    2995,448
    3095,307
    3195,158
    3295,003
    3394,840
    3494,666
    3594,482
    3694,285
    3794,073
    3893,843
    3993,593
    4093,322
    4193,028
    4292,712
    4392,368
    4491,995
    4591,587
    4691,144
    4790,662
    4890,142
    4989,579
    5088,972
    5188,315
    5287,605
    5386,838
    5486,007
    5585,110
    5684,142
    5783,103
    5881,988
    5980,798
    6079,529
    6178,181
    6276,751
    6375,236
    6473,631
    6571,933
    6670,139
    6768,246
    6866,254
    6964,166
    7061,984
    7159,715
    7257,360
    7354,913
    7452,363
    7549,705
    7646,946
    7744,101
    7841,192
    7938,245
    8035,285
    8132,323
    8229,375
    8326,469
    8423,638
    8520,908
    8618,282
    8715,769
    8813,407
    8911,240
    909,297
    917,577
    926,070
    934,773
    943,682
    952,786
    962,068
    971,511
    981,087
    99772
    100542
    101375
    102257
    103175
    104117
    10578
    10652
    10734
    10822
    10914
    1100

    (e) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after April 30, 1989, and before May 1, 1999

    (1) In general. Except as otherwise provided in § 20.2031–7(b) and § 20.7520–3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is after April 30, 1989, and before May 1, 1999, the fair market value of annuities, life estates, terms of years, remainders, and reversionary interests is the present value of the interests determined by use of standard or special section 7520 actuarial factors and the valuation methodology described in § 20.2031–7(d). These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. See §§ 20.7520–1 through 20.7520–4. See paragraph (e)(4) of this section for determination of the appropriate table for use in valuing these interests.

    (2) Transitional rule.

    (i) If the valuation date is after April 30, 1989, and before June 10, 1994, a taxpayer can rely on Notice 89–24 (1989–1 C.B. 660), or Notice 89–60 (1989–1 C.B. 700). See § 601.601(d)(2)(ii)(b) of this chapter.

    (ii) If a decedent dies after April 30, 1989, and if on May 1, 1989, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent dies without having regained competency to dispose of the decedent's property or dies within 90 days of the date on which the decedent first regains competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent became mentally incompetent, at the option of the decedent's executor. For example, see paragraph (d) of this section.

    (3) Publications and actuarial computations by the Internal Revenue Service. Many standard actuarial factors not included in paragraph (e)(4) of this section or in § 20.2031–7(d)(6) are included in Internal Revenue Service Publication 1457, “Actuarial Values, Alpha Volume,” (8–89). Publication 1457 also includes examples that illustrate how to compute many special factors for more unusual situations. Publication 1457 is no longer available for purchase from the Superintendent of Documents, United States Government Printing Office, Washington, DC 20402. However, pertinent factors in this publication may be obtained from: CC:DOM:CORP:R (IRS Publication 1457), room 5226, Internal Revenue Service, POB 7604, Ben Franklin Station, Washington, DC 20044. If a special factor is required in the case of an actual decedent, the Internal Revenue Service may furnish the factor to the executor upon a request for a ruling. The request for a ruling must be accompanied by a recitation of the facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see §§ 601.201 and 601.601(d)(2)(ii)(b) of this chapter) and include payment of the required user fee.

    (4) Actuarial tables. Except as provided in § 20.7520–3(b) (pertaining to certain limitations on the use of prescribed tables), Life Table 80CNSMT and Table S (Single life remainder factors applicable where the valuation date is after April 30, 1989, and before May 1, 1999), contained in this paragraph (e)(4), and Table B, Table J, and Table K set forth in § 20.2031–7(d)(6) must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent. Table S and Table 80CNSMT are as follows:

    Table S—Based on Life Table 80CNSMT Single Life Remainder Factors

    [Applicable After April 30, 1989, and Before May 1, 1999]

    Age Interest rate
    4.2% 4.4% 4.6% 4.8% 5.0% 5.2% 5.4% 5.6% 5.8% 6.0%
    0.07389.06749.06188.05695.05261.04879.04541.04243.03978.03744
    1.06494.05832.05250.04738.04287.03889.03537.03226.02950.02705
    2.06678.05999.05401.04874.04410.03999.03636.03314.03028.02773
    3.06897.06200.05587.05045.04567.04143.03768.03435.03139.02875
    4.07139.06425.05796.05239.04746.04310.03922.03578.03271.02998
    5.07401.06669.06023.05451.04944.04494.04094.03738.03421.03137
    6.07677.06928.06265.05677.05156.04692.04279.03911.03583.03289
    7.07968.07201.06521.05918.05381.04903.04477.04097.03757.03453
    8.08274.07489.06792.06172.05621.05129.04689.04297.03945.03630
    9.08597.07794.07079.06443.05876.05370.04917.04511.04148.03821
    10.08936.08115.07383.06730.06147.05626.05159.04741.04365.04027
    11.09293.08453.07704.07035.06436.05900.05419.04988.04599.04250
    12.09666.08807.08040.07354.06739.06188.05693.05248.04847.04486
    13.10049.09172.08387.07684.07053.06487.05977.05518.05104.04731
    14.10437.09541.08738.08017.07370.06788.06263.05791.05364.04978
    15.10827.09912.09090.08352.07688.07090.06551.06064.05623.05225
    16.11220.10285.09445.08689.08008.07394.06839.06337.05883.05472
    17.11615.10661.09802.09028.08330.07699.07129.06612.06144.05719
    18.12017.11043.10165.09373.08656.08009.07422.06890.06408.05969
    19.12428.11434.10537.09726.08992.08327.07724.07177.06679.06226
    20.12850.11836.10919.10089.09337.08654.08035.07471.06959.06492
    21.13282.12248.11311.10462.09692.08991.08355.07775.07247.06765
    22.13728.12673.11717.10848.10059.09341.08686.08090.07546.07049
    23.14188.13113.12136.11248.10440.09703.09032.08418.07858.07345
    24.14667.13572.12575.11667.10839.10084.09395.08764.08187.07659
    25.15167.14051.13034.12106.11259.10486.09778.09130.08536.07991
    26.15690.14554.13517.12569.11703.10910.10184.09518.08907.08346
    27.16237.15081.14024.13056.12171.11359.10614.09930.09302.08724
    28.16808.15632.14555.13567.12662.11831.11068.10366.09720.09125
    29.17404.16208.15110.14104.13179.12329.11547.10827.10163.09551
    30.18025.16808.15692.14665.13721.12852.12051.11313.10631.10002
    31.18672.17436.16300.15255.14291.13403.12584.11827.11127.10480
    32.19344.18090.16935.15870.14888.13980.13142.12367.11650.10985
    33.20044.18772.17598.16514.15513.14587.13730.12936.12201.11519
    34.20770.19480.18287.17185.16165.15221.14345.13533.12780.12080
    35.21522.20215.19005.17884.16846.15883.14989.14159.13388.12670
    36.22299.20974.19747.18609.17552.16571.15660.14812.14022.13287
    37.23101.21760.20516.19360.18286.17288.16358.15492.14685.13933
    38.23928.22572.21311.20139.19048.18032.17085.16201.15377.14607
    39.24780.23409.22133.20945.19837.18804.17840.16939.16097.15310
    40.25658.24273.22982.21778.20654.19605.18624.17706.16847.16043
    41.26560.25163.23858.22639.21499.20434.19436.18502.17627.16806
    42.27486.26076.24758.23525.22370.21289.20276.19326.18434.17597
    43.28435.27013.25683.24436.23268.22172.21143.20177.19270.18416
    44.29407.27975.26633.25373.24191.23081.22038.21057.20134.19265
    45.30402.28961.27608.26337.25142.24019.22962.21966.21028.20144
    46.31420.29970.28608.27326.26120.24983.23913.22904.21951.21053
    47.32460.31004.29632.28341.27123.25975.24892.23870.22904.21991
    48.33521.32058.30679.29379.28151.26992.25897.24862.23883.22957
    49.34599.33132.31746.30438.29201.28032.26926.25879.24888.23949
    50.35695.34224.32833.31518.30273.29094.27978.26921.25918.24966
    51.36809.35335.33940.32619.31367.30180.29055.27987.26973.26010
    52.37944.36468.35070.33744.32486.31292.30158.29081.28057.27083
    53.39098.37622.36222.34892.33629.32429.31288.30203.29170.28186
    54.40269.38794.37393.36062.34795.33590.32442.31349.30308.29316
    55.41457.39985.38585.37252.35983.34774.33621.32522.31474.30473
    56.42662.41194.39796.38464.37193.35981.34824.33720.32666.31658
    57.43884.42422.41028.39697.38426.37213.36053.34945.33885.32872
    58.45123.43668.42279.40951.39682.38468.37307.36196.35132.34114
    59.46377.44931.43547.42224.40958.39745.38584.37471.36405.35383
    60.47643.46206.44830.43513.42250.41040.39880.38767.37699.36674
    61.48916.47491.46124.44814.43556.42350.41192.40080.39012.37985
    62.50196.48783.47427.46124.44874.43672.42518.41408.40340.39314
    63.51480.50081.48736.47444.46201.45006.43856.42749.41684.40658
    64.52770.51386.50054.48773.47540.46352.45208.44105.43043.42019
    65.54069.52701.51384.50115.48892.47713.46577.45480.44422.43401
    66.55378.54029.52727.51472.50262.49093.47965.46876.45824.44808
    67.56697.55368.54084.52845.51648.50491.49373.48293.47248.46238
    68.58026.56717.55453.54231.53049.51905.50800.49729.48694.47691
    69.59358.58072.56828.55624.54459.53330.52238.51179.50154.49160
    70.60689.59427.58205.57021.55874.54762.53683.52638.51624.50641
    71.62014.60778.59578.58415.57287.56193.55131.54100.53099.52126
    72.63334.62123.60948.59808.58700.57624.56579.55563.54577.53617
    73.64648.63465.62315.61198.60112.59056.58029.57030.56059.55113
    74.65961.64806.63682.62590.61527.60492.59485.58504.57550.56620
    75.67274.66149.65054.63987.62948.61936.60950.59990.59053.58140
    76.68589.67495.66429.65390.64377.63390.62427.61487.60570.59676
    77.69903.68841.67806.66796.65811.64849.63910.62993.62097.61223
    78.71209.70182.69179.68199.67242.66307.65393.64501.63628.62775
    79.72500.71507.70537.69588.68660.67754.66867.65999.65151.64321
    80.73768.72809.71872.70955.70058.69180.68320.67479.66655.65849
    81.75001.74077.73173.72288.71422.70573.69741.68926.68128.67345
    82.76195.75306.74435.73582.72746.71926.71123.70335.69562.68804
    83.77346.76491.75654.74832.74026.73236.72460.71699.70952.70219
    84.78456.77636.76831.76041.75265.74503.73756.73021.72300.71592
    85.79530.78743.77971.77212.76466.75733.75014.74306.73611.72928
    86.80560.79806.79065.78337.77621.76917.76225.75544.74875.74216
    87.81535.80813.80103.79404.78717.78041.77375.76720.76076.75442
    88.82462.81771.81090.80420.79760.79111.78472.77842.77223.76612
    89.83356.82694.82043.81401.80769.80147.79533.78929.78334.77747
    90.84225.83593.82971.82357.81753.81157.80570.79991.79420.78857
    91.85058.84455.83861.83276.82698.82129.81567.81013.80466.79927
    92.85838.85263.84696.84137.83585.83040.82503.81973.81449.80933
    93.86557.86009.85467.84932.84405.83884.83370.82862.82360.81865
    94.87212.86687.86169.85657.85152.84653.84160.83673.83192.82717
    95.87801.87298.86801.86310.85825.85345.84872.84404.83941.83484
    96.88322.87838.87360.86888.86420.85959.85502.85051.84605.84165
    97.88795.88328.87867.87411.86961.86515.86074.85639.85208.84782
    98.89220.88769.88323.87883.87447.87016.86589.86167.85750.85337
    99.89612.89176.88745.88318.87895.87478.87064.86656.86251.85850
    100.89977.89555.89136.88722.88313.87908.87506.87109.86716.86327
    101.90326.89917.89511.89110.88712.88318.87929.87543.87161.86783
    102.90690.90294.89901.89513.89128.88746.88369.87995.87624.87257
    103.91076.90694.90315.89940.89569.89200.88835.88474.88116.87760
    104.91504.91138.90775.90415.90058.89704.89354.89006.88661.88319
    105.92027.91681.91337.90996.90658.90322.89989.89659.89331.89006
    106.92763.92445.92130.91816.91506.91197.90890.90586.90284.89983
    107.93799.93523.93249.92977.92707.92438.92170.91905.91641.91378
    108.95429.95223.95018.94814.94611.94409.94208.94008.93809.93611
    109.97985.97893.97801.97710.97619.97529.97438.97348.97259.97170

    Table S—Based on Life Table 80CNSMT Single Life Remainder Factors

    [Applicable After April 30, 1989, and Before May 1, 1999]

    Age Interest rate
    6.2% 6.4% 6.6% 6.8% 7.0% 7.2% 7.4% 7.6% 7.8% 8.0%
    0.03535.03349.03183.03035.02902.02783.02676.02579.02492.02413
    1.02486.02292.02119.01963.01824.01699.01587.01486.01395.01312
    2.02547.02345.02164.02002.01857.01727.01609.01504.01408.01321
    3.02640.02429.02241.02073.01921.01785.01662.01552.01451.01361
    4.02753.02535.02339.02163.02005.01863.01735.01619.01514.01418
    5.02883.02656.02453.02269.02105.01956.01822.01700.01590.01490
    6.03026.02790.02578.02387.02215.02060.01919.01792.01677.01572
    7.03180.02935.02714.02515.02336.02174.02027.01894.01773.01664
    8.03347.03092.02863.02656.02469.02300.02146.02007.01881.01766
    9.03528.03263.03025.02810.02615.02438.02278.02133.02000.01880
    10.03723.03449.03201.02977.02774.02590.02423.02271.02133.02006
    11.03935.03650.03393.03160.02949.02757.02583.02424.02279.02147
    12.04160.03865.03598.03356.03136.02936.02755.02589.02438.02299
    13.04394.04088.03811.03560.03331.03123.02934.02761.02603.02458
    14.04629.04312.04025.03764.03527.03311.03113.02933.02768.02617
    15.04864.04536.04238.03968.03721.03496.03290.03103.02930.02773
    16.05099.04759.04451.04170.03913.03679.03466.03270.03090.02926
    17.05333.04982.04662.04370.04104.03861.03638.03434.03247.03075
    18.05570.05207.04875.04573.04296.04044.03812.03599.03404.03225
    19.05814.05438.05095.04781.04494.04231.03990.03769.03565.03378
    20.06065.05677.05321.04996.04698.04424.04173.03943.03731.03535
    21.06325.05922.05554.05217.04907.04623.04362.04122.03901.03697
    22.06594.06178.05797.05447.05126.04831.04559.04309.04078.03865
    23.06876.06446.06051.05688.05355.05048.04766.04505.04265.04042
    24.07174.06729.06321.05945.05599.05281.04987.04715.04465.04233
    25.07491.07031.06609.06219.05861.05530.05224.04941.04680.04438
    26.07830.07355.06918.06515.06142.05799.05481.05187.04915.04662
    27.08192.07702.07250.06832.06446.06090.05759.05454.05170.04906
    28.08577.08071.07603.07171.06772.06402.06059.05740.05445.05170
    29.08986.08464.07981.07534.07120.06736.06380.06049.05742.05456
    30.09420.08882.08383.07921.07492.07095.06725.06381.06061.05763
    31.09881.09327.08812.08335.07891.07479.07095.06738.06405.06095
    32.10369.09797.09267.08774.08315.07888.07491.07120.06774.06451
    33.10885.10297.09750.09241.08767.08325.07913.07529.07170.06834
    34.11430.10824.10261.09736.09246.08790.08363.07964.07592.07243
    35.12002.11380.10800.10259.09754.09282.08841.08428.08041.07679
    36.12602.11963.11366.10809.10288.09800.09344.08917.08516.08140
    37.13230.12574.11961.11387.10850.10347.09876.09433.09018.08628
    38.13887.13214.12584.11994.11441.10922.10436.09978.09549.09145
    39.14573.13883.13237.12630.12061.11527.11025.10553.10109.09690
    40.15290.14583.13920.13297.12712.12162.11644.11157.10698.10266
    41.16036.15312.14633.13994.13393.12827.12294.11792.11318.10871
    42.16810.16071.15375.14720.14103.13522.12973.12456.11967.11505
    43.17614.16858.16146.15475.14842.14245.13682.13149.12645.12169
    44.18447.17675.16948.16261.15613.15000.14421.13873.13355.12864
    45.19310.18524.17780.17078.16414.15787.15192.14630.14096.13591
    46.20204.19402.18644.17926.17247.16604.15995.15418.14870.14350
    47.21128.20311.19538.18806.18112.17454.16830.16238.15676.15141
    48.22080.21249.20462.19716.19007.18335.17696.17090.16513.15964
    49.23059.22214.21413.20653.19930.19244.18591.17970.17379.16816
    50.24063.23206.22391.21617.20881.20180.19514.18879.18274.17697
    51.25095.24225.23398.22610.21861.21147.20466.19818.19199.18609
    52.26157.25275.24436.23636.22874.22147.21453.20791.20159.19556
    53.27249.26357.25505.24694.23919.23180.22474.21799.21154.20537
    54.28369.27466.26604.25782.24995.24244.23526.22839.22181.21552
    55.29518.28605.27734.26900.26103.25341.24611.23912.23243.22601
    56.30695.29774.28893.28050.27242.26469.25728.25019.24338.23685
    57.31902.30973.30084.29232.28415.27632.26881.26161.25469.24805
    58.33138.32203.31306.30446.29621.28829.28069.27339.26637.25962
    59.34402.33461.32558.31691.30859.30059.29290.28550.27839.27155
    60.35690.34745.33836.32963.32124.31317.30540.29792.29073.28379
    61.36999.36050.35137.34259.33414.32601.31817.31062.30334.29633
    62.38325.37374.36458.35576.34726.33907.33117.32356.31621.30912
    63.39669.38717.37799.36913.36060.35236.34441.33674.32933.32217
    64.41031.40078.39159.38272.37415.36588.35789.35016.34270.33548
    65.42416.41464.40545.39656.38798.37968.37166.36390.35639.34912
    66.43825.42876.41958.41070.40211.39380.38576.37797.37043.36312
    67.45260.44315.43399.42513.41655.40824.40019.39238.38482.37749
    68.46720.45779.44868.43985.43129.42299.41494.40713.39956.39221
    69.48197.47263.46357.45478.44625.43798.42995.42215.41458.40722
    70.49686.48760.47861.46988.46140.45316.44516.43738.42983.42248
    71.51182.50265.49374.48508.47666.46847.46051.45276.44523.43790
    72.52685.51778.50896.50038.49203.48390.47599.46829.46079.45349
    73.54194.53298.52426.51578.50751.49946.49161.48397.47652.46926
    74.55714.54832.53972.53134.52317.51520.50744.49986.49247.48527
    75.57250.56382.55536.54710.53904.53118.52351.51601.50870.50156
    76.58803.57951.57120.56308.55515.54740.53984.53245.52522.51817
    77.60369.59535.58720.57923.57144.56383.55639.54912.54200.53504
    78.61942.61126.60329.59549.58787.58040.57310.56596.55896.55212
    79.63508.62713.61935.61174.60428.59698.58983.58283.57597.56925
    80.65059.64285.63527.62785.62058.61345.60646.59961.59290.58632
    81.66579.65827.65090.64368.63659.62965.62283.61615.60959.60316
    82.68061.67332.66616.65914.65226.64550.63886.63235.62595.61968
    83.69499.68793.68099.67418.66749.66092.65447.64813.64191.63579
    84.70896.70213.69541.68881.68233.67595.66969.66353.65748.65153
    85.72256.71596.70947.70308.69681.69063.68456.67859.67271.66693
    86.73569.72931.72305.71688.71081.70484.69896.69318.68748.68188
    87.74818.74204.73599.73003.72417.71839.71271.70711.70159.69616
    88.76011.75419.74836.74261.73695.73137.72588.72046.71512.70986
    89.77169.76599.76037.75484.74938.74400.73870.73347.72831.72323
    90.78302.77755.77215.76683.76158.75640.75129.74625.74128.73638
    91.79395.78870.78352.77842.77337.76840.76349.75864.75385.74913
    92.80423.79920.79423.78933.78449.77971.77499.77033.76572.76118
    93.81377.80894.80417.79946.79481.79022.78568.78120.77677.77239
    94.82247.81784.81325.80873.80425.79983.79547.79115.78688.78266
    95.83033.82586.82145.81709.81278.80852.80431.80014.79602.79195
    96.83729.83298.82872.82451.82034.81622.81215.80812.80414.80019
    97.84361.83944.83532.83124.82721.82322.81927.81537.81151.80769
    98.84929.84525.84126.83730.83339.82952.82569.82190.81815.81443
    99.85454.85062.84674.84290.83910.83534.83161.82792.82427.82066
    100.85942.85561.85184.84810.84440.84074.83711.83352.82997.82644
    101.86408.86037.85670.85306.84946.84589.84236.83886.83539.83196
    102.86894.86534.86177.85823.85473.85126.84782.84442.84104.83770
    103.87408.87060.86714.86371.86032.85695.85362.85031.84703.84378
    104.87980.87644.87311.86980.86653.86328.86005.85686.85369.85054
    105.88684.88363.88046.87731.87418.87108.86800.86494.86191.85890
    106.89685.89389.89095.88804.88514.88226.87940.87656.87374.87094
    107.91117.90858.90600.90344.90089.89836.89584.89334.89085.88838
    108.93414.93217.93022.92828.92634.92442.92250.92060.91870.91681
    109.97081.96992.96904.96816.96729.96642.96555.96468.96382.96296

    Table S—Based on Life Table 80CNSMT Single Life Remainder Factors

    [Applicable After April 30, 1989, and Before May 1, 1999]

    Age Interest rate
    8.2% 8.4% 8.6% 8.8% 9.0% 9.2% 9.4% 9.6% 9.8% 10.0%
    0.02341.02276.02217.02163.02114.02069.02027.01989.01954.01922
    1.01237.01170.01108.01052.01000.00953.00910.00871.00834.00801
    2.01243.01172.01107.01048.00994.00944.00899.00857.00819.00784
    3.01278.01203.01135.01073.01016.00964.00916.00872.00832.00795
    4.01332.01253.01182.01116.01056.01001.00951.00904.00862.00822
    5.01400.01317.01241.01172.01109.01051.00998.00949.00904.00862
    6.01477.01390.01310.01238.01171.01110.01054.01002.00954.00910
    7.01563.01472.01389.01312.01242.01178.01118.01064.01013.00966
    8.01660.01564.01477.01396.01322.01254.01192.01134.01081.01031
    9.01770.01669.01577.01492.01414.01342.01276.01216.01159.01107
    10.01891.01785.01688.01599.01517.01442.01372.01308.01249.01194
    11.02026.01915.01814.01720.01634.01555.01481.01414.01351.01293
    12.02173.02056.01950.01852.01761.01678.01601.01529.01463.01402
    13.02326.02204.02092.01989.01895.01807.01726.01651.01582.01517
    14.02478.02351.02234.02126.02027.01935.01850.01771.01698.01630
    15.02628.02495.02372.02259.02155.02058.01969.01886.01810.01738
    16.02774.02635.02507.02388.02279.02178.02084.01997.01917.01842
    17.02917.02772.02637.02513.02399.02293.02194.02103.02018.01940
    18.03059.02907.02767.02637.02517.02406.02302.02207.02118.02035
    19.03205.03046.02899.02763.02637.02521.02412.02312.02218.02131
    20.03355.03188.03035.02892.02760.02638.02524.02419.02320.02229
    21.03509.03334.03173.03024.02886.02758.02638.02527.02424.02328
    22.03669.03487.03318.03162.03017.02882.02757.02640.02532.02430
    23.03837.03646.03470.03306.03154.03013.02881.02759.02644.02538
    24.04018.03819.03634.03463.03303.03155.03016.02888.02767.02655
    25.04214.04006.03812.03633.03465.03309.03164.03029.02902.02784
    26.04428.04210.04008.03820.03644.03481.03328.03186.03052.02928
    27.04662.04434.04223.04025.03841.03670.03509.03360.03219.03088
    28.04915.04677.04456.04249.04056.03876.03708.03550.03403.03264
    29.05189.04941.04709.04493.04291.04102.03925.03760.03604.03458
    30.05485.05226.04984.04757.04546.04348.04162.03988.03825.03671
    31.05805.05535.05282.05045.04824.04616.04421.04238.04067.03905
    32.06149.05867.05603.05356.05124.04906.04702.04510.04329.04160
    33.06520.06226.05950.05692.05449.05221.05007.04806.04616.04438
    34.06916.06609.06322.06052.05799.05560.05336.05125.04926.04738
    35.07339.07020.06720.06439.06174.05925.05690.05469.05260.05063
    36.07787.07455.07143.06850.06573.06313.06068.05836.05617.05411
    37.08262.07917.07593.07287.06999.06727.06470.06228.05999.05783
    38.08765.08407.08069.07751.07451.07167.06899.06646.06407.06180
    39.09296.08925.08574.08243.07931.07635.07356.07092.06841.06604
    40.09858.09472.09109.08765.08440.08132.07841.07565.07303.07055
    41.10449.10050.09673.09316.08978.08658.08355.08067.07794.07535
    42.11069.10656.10265.09895.09544.09212.08896.08596.08312.08041
    43.11718.11291.10887.10503.10140.09794.09466.09154.08858.08576
    44.12399.11958.11540.11143.10766.10407.10067.09743.09434.09141
    45.13111.12656.12224.11814.11423.11052.10699.10362.10042.09736
    46.13856.13387.12941.12516.12113.11728.11362.11013.10680.10363
    47.14633.14150.13690.13252.12835.12438.12059.11697.11352.11022
    48.15442.14945.14471.14020.13589.13179.12787.12412.12055.11713
    49.16280.15769.15281.14816.14373.13949.13544.13157.12787.12433
    50.17147.16622.16121.15643.15186.14749.14331.13931.13548.13182
    51.18045.17507.16993.16501.16030.15580.15150.14737.14342.13963
    52.18979.18427.17899.17394.16911.16448.16004.15579.15172.14780
    53.19947.19383.18842.18324.17828.17352.16896.16458.16038.15635
    54.20950.20372.19819.19288.18779.18291.17822.17372.16940.16524
    55.21986.21397.20831.20288.19767.19266.18785.18322.17878.17450
    56.23058.22457.21879.21324.20791.20278.19785.19310.18854.18414
    57.24167.23554.22965.22399.21854.21329.20824.20338.19870.19419
    58.25314.24690.24090.23512.22956.22420.21904.21407.20927.20464
    59.26497.25863.25252.24664.24097.23550.23023.22515.22024.21551
    60.27712.27068.26448.25849.25272.24716.24178.23659.23158.22674
    61.28956.28304.27674.27067.26480.25913.25366.24837.24325.23831
    62.30228.29567.28929.28312.27717.27141.26584.26045.25524.25020
    63.31525.30857.30211.29586.28982.28397.27832.27284.26754.26240
    64.32851.32176.31522.30890.30278.29685.29111.28555.28016.27493
    65.34209.33528.32868.32229.31610.31010.30429.29865.29317.28787
    66.35604.34918.34253.33609.32983.32377.31788.31217.30663.30124
    67.37037.36347.35678.35028.34398.33786.33191.32614.32053.31508
    68.38508.37815.37142.36489.35854.35237.34638.34055.33488.32937
    69.40008.39313.38638.37982.37344.36724.36120.35533.34961.34405
    70.41533.40838.40162.39504.38864.38241.37634.37043.36468.35907
    71.43076.42382.41705.41047.40405.39780.39171.38578.38000.37436
    72.44638.43945.43269.42611.41969.41344.40733.40138.39558.38991
    73.46218.45527.44854.44197.43556.42931.42321.41725.41143.40575
    74.47823.47137.46466.45812.45173.44549.43940.43345.42763.42195
    75.49459.48777.48112.47462.46826.46205.45598.45004.44424.43856
    76.51127.50452.49793.49148.48517.47900.47297.46706.46129.45563
    77.52823.52157.51505.50867.50243.49632.49033.48447.47873.47311
    78.54541.53885.53242.52613.51996.51392.50800.50220.49652.49094
    79.56267.55621.54989.54369.53762.53166.52582.52009.51448.50897
    80.57987.57354.56733.56125.55527.54941.54366.53802.53248.52705
    81.59685.59065.58457.57860.57274.56699.56134.55579.55035.54499
    82.61351.60746.60151.59567.58993.58429.57875.57331.56796.56270
    83.62978.62387.61806.61236.60675.60123.59581.59047.58523.58007
    84.64567.63992.63426.62869.62321.61783.61253.60731.60218.59713
    85.66125.65565.65014.64472.63938.63413.62896.62387.61886.61392
    86.67636.67092.66557.66030.65511.65000.64496.64000.63511.63030
    87.69081.68554.68034.67522.67018.66520.66031.65548.65071.64602
    88.70468.69957.69453.68956.68466.67983.67507.67037.66574.66117
    89.71821.71326.70838.70357.69882.69414.68952.68495.68045.67601
    90.73153.72676.72204.71739.71280.70827.70379.69938.69502.69071
    91.74447.73986.73532.73083.72640.72202.71770.71343.70921.70504
    92.75669.75225.74787.74354.73927.73504.73087.72674.72267.71864
    93.76807.76379.75957.75540.75127.74719.74317.73918.73524.73135
    94.77849.77437.77030.76627.76229.75835.75446.75061.74680.74303
    95.78792.78394.78001.77611.77226.76845.76468.76096.75727.75362
    96.79630.79244.78863.78485.78112.77742.77377.77015.76657.76303
    97.80391.80016.79646.79280.78917.78559.78203.77852.77504.77160
    98.81076.80712.80352.79996.79643.79294.78948.78606.78267.77931
    99.81709.81354.81004.80657.80313.79972.79635.79302.78971.78644
    100.82296.81950.81609.81270.80934.80602.80273.79947.79624.79304
    101.82855.82518.82185.81854.81526.81201.80880.80561.80245.79932
    102.83438.83110.82785.82462.82142.81826.81512.81200.80892.80586
    103.84056.83737.83420.83106.82795.82487.82181.81878.81577.81279
    104.84743.84433.84127.83822.83521.83221.82924.82630.82338.82048
    105.85591.85295.85001.84709.84419.84132.83846.83563.83282.83003
    106.86816.86540.86266.85993.85723.85454.85187.84922.84659.84397
    107.88592.88348.88105.87863.87623.87384.87147.86911.86676.86443
    108.91493.91306.91119.90934.90749.90566.90383.90201.90020.89840
    109.96211.96125.96041.95956.95872.95788.95704.95620.95537.95455

    Table S—Based on Life Table 80CNSMT Single Life Remainder Factors

    [Applicable After April 30, 1989, and Before May 1, 1999]

    Age Interest rate
    10.2% 10.4% 10.6% 10.8% 11.0% 11.2% 11.4% 11.6% 11.8% 12.0%
    0.01891.01864.01838.01814.01791.01770.01750.01732.01715.01698
    1.00770.00741.00715.00690.00667.00646.00626.00608.00590.00574
    2.00751.00721.00693.00667.00643.00620.00600.00580.00562.00544
    3.00760.00728.00699.00671.00646.00622.00600.00579.00560.00541
    4.00786.00752.00721.00692.00665.00639.00616.00594.00573.00554
    5.00824.00788.00755.00724.00695.00668.00643.00620.00598.00578
    6.00869.00832.00796.00764.00733.00705.00678.00654.00630.00608
    7.00923.00883.00846.00811.00779.00749.00720.00694.00669.00646
    8.00986.00943.00904.00867.00833.00801.00771.00743.00716.00692
    9.01059.01014.00972.00933.00897.00863.00831.00801.00773.00747
    10.01142.01095.01051.01009.00971.00935.00901.00869.00840.00812
    11.01239.01189.01142.01098.01057.01019.00983.00950.00918.00889
    12.01345.01292.01243.01197.01154.01113.01075.01040.01007.00975
    13.01457.01401.01349.01300.01255.01212.01172.01135.01100.01067
    14.01567.01508.01453.01402.01354.01309.01267.01227.01190.01155
    15.01672.01610.01552.01498.01448.01400.01356.01314.01275.01238
    16.01772.01707.01646.01589.01536.01486.01439.01396.01354.01315
    17.01866.01798.01734.01674.01618.01566.01516.01470.01427.01386
    18.01958.01886.01818.01755.01697.01641.01590.01541.01495.01452
    19.02050.01974.01903.01837.01775.01717.01662.01611.01563.01517
    20.02143.02064.01989.01919.01854.01793.01735.01681.01630.01582
    21.02238.02154.02075.02002.01933.01868.01807.01750.01696.01646
    22.02336.02247.02164.02087.02014.01946.01882.01821.01764.01711
    23.02438.02345.02257.02176.02099.02027.01959.01895.01835.01778
    24.02550.02451.02359.02273.02192.02115.02044.01976.01913.01853
    25.02673.02569.02472.02381.02295.02214.02138.02067.01999.01936
    26.02811.02701.02598.02502.02411.02326.02246.02170.02098.02031
    27.02965.02849.02741.02639.02543.02452.02367.02287.02211.02140
    28.03134.03013.02898.02790.02689.02593.02503.02418.02338.02262
    29.03322.03193.03072.02958.02851.02750.02654.02564.02479.02398
    30.03527.03391.03264.03143.03030.02923.02821.02726.02635.02550
    31.03753.03610.03475.03348.03228.03115.03008.02907.02811.02720
    32.04000.03849.03707.03573.03446.03326.03213.03105.03004.02907
    33.04269.04111.03961.03819.03685.03558.03438.03325.03217.03115
    34.04561.04394.04236.04087.03946.03812.03685.03565.03451.03342
    35.04877.04702.04535.04378.04229.04087.03953.03826.03706.03591
    36.05215.05031.04856.04690.04533.04384.04242.04108.03980.03859
    37.05578.05384.05200.05025.04860.04703.04553.04411.04276.04148
    38.05965.05761.05568.05385.05211.05045.04888.04738.04595.04460
    39.06379.06165.05962.05770.05587.05412.05247.05089.04939.04795
    40.06820.06596.06383.06181.05989.05806.05631.05465.05307.05155
    41.07288.07054.06832.06620.06418.06226.06042.05868.05701.05541
    42.07784.07539.07306.07085.06873.06671.06479.06295.06119.05952
    43.08308.08052.07808.07576.07355.07143.06941.06748.06564.06387
    44.08861.08594.08340.08097.07865.07644.07432.07230.07036.06851
    45.09445.09167.08901.08648.08406.08174.07953.07741.07538.07343
    46.10060.09770.09494.09230.08977.08735.08503.08281.08068.07865
    47.10707.10406.10119.09843.09579.09327.09085.08853.08630.08417
    48.11386.11073.10774.10487.10213.09949.09697.09455.09222.08999
    49.12094.11769.11458.11160.10874.10600.10337.10084.09842.09609
    50.12831.12494.12172.11862.11565.11280.11006.10743.10490.10247
    51.13600.13251.12917.12596.12288.11991.11706.11432.11169.10915
    52.14405.14044.13698.13366.13046.12738.12442.12157.11883.11619
    53.15247.14875.14517.14172.13841.13522.13215.12919.12635.12360
    54.16124.15740.15370.15014.14671.14341.14023.13717.13421.13136
    55.17039.16642.16261.15893.15539.15198.14868.14551.14244.13948
    56.17991.17583.17190.16811.16445.16092.15752.15423.15106.14799
    57.18984.18564.18160.17769.17392.17029.16677.16338.16010.15692
    58.20018.19587.19172.18770.18382.18007.17645.17295.16956.16628
    59.21093.20652.20225.19812.19414.19028.18655.18294.17945.17606
    60.22206.21753.21316.20893.20483.20087.19703.19332.18972.18624
    61.23353.22890.22442.22009.21589.21182.20788.20407.20037.19678
    62.24532.24059.23601.23158.22728.22311.21907.21515.21135.20767
    63.25742.25260.24793.24339.23900.23473.23060.22658.22268.21890
    64.26987.26495.26019.25556.25107.24671.24248.23837.23438.23050
    65.28271.27771.27286.26815.26357.25912.25480.25059.24651.24254
    66.29601.29093.28600.28120.27654.27200.26760.26331.25913.25507
    67.30978.30462.29961.29474.29000.28539.28090.27653.27227.26813
    68.32401.31879.31371.30877.30396.29927.29471.29027.28593.28171
    69.33863.33336.32822.32322.31835.31359.30896.30445.30005.29576
    70.35361.34829.34310.33804.33311.32830.32361.31903.31457.31021
    71.36886.36349.35826.35316.34818.34332.33858.33394.32942.32500
    72.38439.37899.37373.36858.36356.35866.35387.34919.34461.34015
    73.40021.39479.38950.38432.37927.37433.36950.36478.36016.35565
    74.41639.41096.40565.40046.39538.39042.38556.38081.37616.37161
    75.43301.42758.42226.41706.41198.40699.40212.39734.39267.38809
    76.45009.44467.43937.43417.42908.42410.41921.41443.40974.40514
    77.46761.46221.45693.45175.44667.44170.43682.43203.42734.42274
    78.48548.48013.47488.46973.46468.45972.45486.45009.44541.44082
    79.50356.49826.49306.48795.48294.47802.47319.46845.46379.45922
    80.52171.51647.51133.50628.50132.49644.49166.48695.48233.47779
    81.53974.53457.52950.52451.51961.51479.51006.50541.50083.49633
    82.55753.55245.54745.54254.53771.53296.52828.52369.51917.51472
    83.57500.57001.56510.56026.55551.55083.54623.54170.53724.53285
    84.59216.58726.58245.57770.57304.56844.56391.55945.55506.55074
    85.60906.60428.59956.59492.59034.58583.58139.57702.57270.56845
    86.62555.62088.61627.61173.60725.60284.59849.59420.58997.58580
    87.64139.63683.63233.62790.62352.61921.61495.61076.60661.60253
    88.65666.65221.64783.64350.63923.63502.63086.62675.62270.61871
    89.67163.66730.66304.65882.65466.65055.64650.64249.63854.63463
    90.68646.68226.67812.67402.66998.66599.66204.65814.65430.65049
    91.70093.69686.69285.68888.68496.68108.67725.67347.66973.66604
    92.71466.71073.70684.70300.69920.69545.69173.68806.68444.68085
    93.72750.72370.71994.71622.71254.70890.70530.70174.69822.69474
    94.73931.73562.73198.72838.72481.72129.71780.71434.71093.70755
    95.75001.74644.74291.73941.73595.73253.72914.72579.72247.71919
    96.75953.75606.75262.74923.74586.74253.73924.73598.73275.72955
    97.76819.76481.76147.75816.75489.75165.74844.74526.74211.73899
    98.77599.77270.76944.76621.76302.75986.75672.75362.75054.74750
    99.78319.77998.77680.77365.77053.76744.76437.76134.75833.75535
    100.78987.78673.78362.78054.77748.77446.77146.76849.76555.76263
    101.79622.79315.79010.78708.78409.78113.77819.77528.77239.76953
    102.80283.79983.79685.79390.79097.78807.78519.78234.77951.77671
    103.80983.80690.80399.80111.79825.79541.79260.78981.78705.78430
    104.81760.81475.81192.80912.80633.80357.80083.79810.79541.79273
    105.82726.82451.82178.81907.81638.81371.81106.80843.80582.80322
    106.84137.83879.83623.83368.83115.82863.82614.82366.82119.81874
    107.86211.85981.85751.85523.85297.85071.84847.84624.84403.84182
    108.89660.89481.89304.89127.88950.88775.88601.88427.88254.88081
    109.95372.95290.95208.95126.95045.94964.94883.94803.94723.94643

    Table S—Based on Life Table 80CNSMT Single Life Remainder Factors

    [Applicable After April 30, 1989, and Before May 1, 1999]

    Age Interest rate
    12.2% 12.4% 12.6% 12.8% 13.0% 13.2% 13.4% 13.6% 13.8% 14.0%
    0.01683.01669.01655.01642.01630.01618.01607.01596.01586.01576
    1.00559.00544.00531.00518.00506.00494.00484.00473.00464.00454
    2.00528.00513.00499.00485.00473.00461.00449.00439.00428.00419
    3.00524.00508.00493.00479.00465.00453.00441.00429.00419.00408
    4.00536.00519.00503.00488.00473.00460.00447.00435.00423.00412
    5.00558.00540.00523.00507.00492.00477.00464.00451.00439.00427
    6.00588.00569.00550.00533.00517.00502.00487.00473.00460.00448
    7.00624.00604.00584.00566.00549.00532.00517.00502.00488.00475
    8.00668.00646.00626.00606.00588.00570.00554.00538.00523.00509
    9.00722.00699.00677.00656.00636.00617.00600.00583.00567.00552
    10.00785.00761.00737.00715.00694.00674.00655.00637.00620.00604
    11.00861.00835.00810.00786.00764.00743.00723.00704.00686.00668
    12.00946.00918.00891.00866.00843.00820.00799.00779.00760.00741
    13.01035.01006.00978.00951.00927.00903.00880.00859.00839.00819
    14.01122.01091.01061.01034.01007.00982.00958.00936.00914.00894
    15.01203.01171.01140.01110.01082.01056.01031.01007.00985.00963
    16.01279.01244.01211.01181.01151.01123.01097.01072.01048.01025
    17.01347.01311.01276.01244.01213.01184.01156.01130.01104.01081
    18.01411.01373.01336.01302.01270.01239.01210.01182.01155.01130
    19.01474.01434.01396.01359.01325.01293.01262.01233.01205.01178
    20.01537.01494.01454.01415.01379.01345.01313.01282.01252.01224
    21.01598.01553.01510.01470.01432.01396.01361.01329.01298.01268
    22.01660.01613.01568.01525.01485.01446.01410.01375.01343.01312
    23.01725.01674.01627.01581.01539.01498.01460.01423.01388.01355
    24.01796.01742.01692.01644.01599.01556.01515.01476.01439.01404
    25.01876.01819.01765.01714.01666.01621.01577.01536.01497.01460
    26.01967.01907.01850.01796.01745.01696.01650.01606.01565.01525
    27.02072.02008.01948.01890.01836.01784.01735.01688.01644.01601
    28.02190.02122.02057.01996.01938.01883.01831.01781.01734.01689
    29.02322.02249.02181.02116.02054.01996.01940.01887.01836.01788
    30.02469.02392.02319.02250.02184.02122.02062.02006.01952.01900
    31.02634.02552.02475.02401.02331.02264.02201.02140.02083.02028
    32.02816.02729.02647.02568.02494.02423.02355.02291.02229.02170
    33.03018.02926.02838.02755.02675.02600.02528.02459.02393.02331
    34.03239.03142.03048.02960.02875.02795.02718.02645.02575.02508
    35.03482.03378.03279.03185.03095.03009.02928.02850.02775.02704
    36.03743.03633.03528.03428.03333.03242.03155.03072.02992.02916
    37.04026.03909.03798.03692.03591.03494.03401.03313.03228.03147
    38.04330.04207.04089.03977.03869.03767.03668.03574.03484.03398
    39.04658.04528.04403.04284.04170.04061.03957.03857.03762.03670
    40.05011.04873.04741.04615.04495.04379.04269.04163.04061.03964
    41.05389.05244.05104.04971.04844.04721.04604.04492.04384.04281
    42.05791.05638.05491.05350.05216.05086.04962.04844.04729.04620
    43.06219.06057.05902.05754.05612.05475.05344.05218.05098.04981
    44.06673.06503.06340.06184.06034.05890.05752.05619.05491.05368
    45.07157.06978.06806.06642.06484.06332.06186.06046.05911.05781
    46.07669.07481.07301.07128.06962.06802.06649.06501.06358.06221
    47.08212.08015.07826.07645.07470.07302.07140.06984.06834.06690
    48.08784.08578.08380.08190.08006.07830.07660.07496.07338.07186
    49.09384.09169.08961.08762.08570.08384.08206.08034.07868.07708
    50.10013.09787.09570.09361.09160.08966.08779.08598.08424.08256
    51.10671.10436.10209.09991.09780.09577.09381.09192.09009.08832
    52.11365.11120.10883.10655.10435.10222.10017.09819.09628.09442
    53.12095.11840.11593.11355.11126.10904.10689.10482.10282.10088
    54.12860.12595.12338.12090.11851.11619.11396.11179.10970.10767
    55.13663.13386.13120.12862.12613.12372.12138.11912.11694.11482
    56.14503.14217.13940.13672.13413.13162.12919.12683.12456.12235
    57.15385.15089.14801.14523.14254.13994.13741.13496.13259.13029
    58.16311.16004.15706.15418.15139.14868.14606.14352.14105.13866
    59.17279.16961.16654.16355.16066.15786.15514.15250.14994.14745
    60.18286.17958.17640.17332.17033.16743.16462.16188.15922.15664
    61.19330.18992.18665.18347.18038.17738.17447.17164.16889.16622
    62.20409.20061.19724.19396.19078.18768.18467.18175.17891.17614
    63.21522.21165.20818.20480.20152.19833.19523.19221.18928.18642
    64.22672.22306.21949.21602.21265.20937.20617.20306.20003.19708
    65.23867.23491.23125.22769.22423.22085.21757.21437.21125.20821
    66.25112.24727.24353.23988.23632.23286.22948.22619.22299.21986
    67.26409.26016.25633.25260.24896.24541.24195.23857.23528.23206
    68.27760.27359.26968.26586.26214.25851.25497.25151.24814.24484
    69.29157.28748.28350.27961.27581.27211.26849.26495.26150.25812
    70.30596.30181.29775.29379.28992.28614.28245.27884.27532.27187
    71.32069.31648.31236.30833.30440.30055.29679.29312.28952.28600
    72.33578.33151.32733.32325.31925.31535.31152.30778.30412.30054
    73.35123.34691.34269.33855.33450.33054.32666.32286.31914.31550
    74.36715.36279.35852.35434.35024.34623.34230.33845.33468.33098
    75.38360.37921.37491.37069.36656.36250.35853.35464.35082.34708
    76.40064.39623.39190.38765.38349.37941.37540.37148.36762.36384
    77.41823.41381.40947.40521.40103.39692.39290.38895.38507.38126
    78.43632.43189.42755.42329.41910.41499.41095.40698.40309.39926
    79.45473.45032.44599.44173.43755.43344.42940.42543.42153.41770
    80.47333.46894.46463.46040.45623.45213.44811.44414.44025.43642
    81.49191.48755.48328.47907.47493.47085.46684.46290.45902.45520
    82.51034.50603.50179.49762.49351.48947.48549.48157.47772.47392
    83.52852.52427.52008.51595.51189.50788.50394.50006.49623.49246
    84.54648.54228.53815.53407.53006.52610.52221.51836.51458.51084
    85.56426.56013.55606.55205.54810.54420.54035.53656.53282.52913
    86.58169.57764.57364.56970.56581.56197.55818.55445.55076.54713
    87.59850.59452.59060.58673.58291.57913.57541.57174.56811.56453
    88.61476.61086.60702.60322.59947.59577.59212.58851.58494.58142
    89.63078.62697.62321.61950.61583.61220.60862.60508.60159.59813
    90.64674.64302.63935.63573.63215.62861.62511.62165.61823.61485
    91.66238.65877.65520.65167.64819.64474.64133.63795.63462.63132
    92.67730.67379.67032.66689.66350.66014.65682.65354.65029.64708
    93.69130.68789.68452.68119.67789.67463.67140.66820.66504.66191
    94.70421.70090.69762.69438.69118.68800.68486.68175.67867.67563
    95.71594.71272.70954.70639.70326.70017.69712.69409.69109.68812
    96.72638.72325.72014.71707.71403.71101.70803.70507.70215.69925
    97.73590.73285.72982.72682.72385.72090.71799.71510.71224.70941
    98.74448.74149.73853.73560.73269.72981.72696.72414.72134.71856
    99.75240.74948.74658.74371.74086.73805.73525.73248.72974.72702
    100.75974.75687.75403.75121.74842.74566.74292.74020.73751.73484
    101.76669.76388.76109.75833.75559.75287.75018.74751.74486.74223
    102.77393.77117.76844.76573.76304.76037.75773.75511.75251.74993
    103.78158.77888.77620.77355.77091.76830.76571.76313.76058.75805
    104.79007.78743.78482.78222.77964.77709.77455.77203.76953.76705
    105.80065.79809.79556.79304.79054.78805.78559.78314.78071.77829
    106.81631.81389.81149.80911.80674.80438.80204.79972.79741.79511
    107.83963.83745.83529.83313.83099.82886.82674.82463.82254.82045
    108.87910.87739.87569.87400.87232.87064.86897.86731.86566.86401
    109.94563.94484.94405.94326.94248.94170.94092.94014.93937.93860

    Table 80CNSMT—Applicable After April 30, 1989, and Before May 1, 1999

    Age × 1( × ) Age × 1( × ) Age × 1( × )
    (1)(2)(1)(2)(1)(2)
    0100000 3795492 7459279
    1987403895317 7556799
    2986483995129 7654239
    3985844094926 7751599
    4985354194706 7848878
    5984954294465 7946071
    6984594394201 8043180
    7984264493913 8140208
    8983964593599 8237172
    9983704693256 8334095
    10983474792882 8431012
    11983284892472 8527960
    12983094992021 8624961
    13982855091526 8722038
    14982485190986 8819235
    15981965290402 8916598
    16981295389771 9014154
    17980475489087 9111908
    18979535588348 92 9863
    19978515687551 93 8032
    20977415786695 94 6424
    21976235885776 95 5043
    22974995984789 96 3884
    23973706083726 97 2939
    24972406182581 98 2185
    25971106281348 99 1598
    26969826380024100 1150
    27968566478609101 815
    28967306577107102 570
    29966046675520103 393
    30964776773846104 267
    31963506872082105 179
    32962206970218106 119
    33960887068248107 78
    34959517166165108 51
    35958087263972109 33
    36956557361673110 0

    (f) Valuation of annuities, interests for life or term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is after April 30,1999, and before May 1, 2009

    (1) In general. Except as otherwise provided in § 20.2031–7(b) and § 20.7520–3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is after April 30, 1999, and before May 1, 2009, the fair market value of annuities, life estates, terms of years, remainders, and reversionary interests is the present value of the interests determined by use of standard or special section 7520 actuarial factors and the valuation methodology described in § 20.2031–7(d). These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. See §§ 20.7520–1 through 20.7520–4. See paragraph (f)(4) of this section for determination of the appropriate table for use in valuing these interests.

    (2) Transitional rule.

    (i) If a decedent dies after April 30, 1999, and if on May 1, 1999, the decedent was mentally incompetent so that the disposition of the decedent's property could not be changed, and the decedent dies without having regained competency to dispose of the decedent's property or dies within 90 days of the date on which the decedent first regains competency, the fair market value of annuities, life estates, terms for years, remainders, and reversions included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent became mentally incompetent, at the option of the decedent's executor. For example, see paragraph (d) of this section.

    (ii) If a decedent dies after April 30, 1999, and before July 1, 1999, the fair market value of annuities, life estates, remainders, and reversions based on one or more measuring lives included in the gross estate of the decedent is their present value determined under this section by use of the section 7520 interest rate for the month in which the valuation date occurs (see §§ 20.7520–1(b) and 20.7520–2(a)(2)) and the appropriate actuarial tables under either paragraph (e)(4) or paragraph (f)(4) of this section, at the option of the decedent's executor.

    (iii) For purposes of paragraphs (f)(2)(i) and (f)(2)(ii) of this section, where the decedent's executor is given the option to use the appropriate actuarial tables under either paragraph (e)(4) or paragraph (f)(4) of this section, the decedent's executor must use the same actuarial table with respect to each individual transaction and with respect to all transfers occurring on the valuation date (for example, gift and income tax charitable deductions with respect to the same transfer must be determined based on the same tables, and all assets includible in the gross estate and/or estate tax deductions claimed must be valued based on the same tables).

    (3) Publications and actuarial computations by the Internal Revenue Service. Many standard actuarial factors not included in paragraph (f)(4) of this section or in § 20.2031–7(d)(6) are included in Internal Revenue Service Publication 1457, “Actuarial Values, Book Aleph,” (7–99). Publication 1457 also includes examples that illustrate how to compute many special factors for more unusual situations. Publication 1457 is no longer available for purchase from the Superintendent of Documents, United States Government Printing Office. However, pertinent factors in this publication may be obtained from: CC:PA:LPD:PR (IRS Publication 1457), Room 5205, Internal Revenue Service, P.O. Box 7604, Ben Franklin Station, Washington, DC 20044. If a special factor is required in the case of an actual decedent, the Internal Revenue Service may furnish the factor to the executor upon a request for a ruling. The request for a ruling must be accompanied by a recitation of the facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see §§ 601.201 and 601.601(d)(2)(ii)(b)) and include payment of the required user fee.

    (4) Actuarial tables. Except as provided in § 20.7520–3(b) (pertaining to certain limitations on the use of prescribed tables), Life Table 90CM and Table S (Single life remainder factors applicable where the valuation date is after April 30, 1999, and before May 1, 2009), contained in this paragraph (f)(4), and Table B, Table J, and Table K set forth in § 20.2031–7(d)(6) must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent. Table S and Table 90CM are as follows:

    (4) Actuarial Table S and Table 90CM where the valuation date is after April 30, 1999. Except as provided in § 20.7520–2(b) (pertaining to certain limitations on the use of prescribed tables), for determination of the present value of an interest that is dependent on the termination of a life interest, Table 90CM and Table S, single life remainder factors applicable where the valuation date is after April 30, 1999, contained in this paragraph (d)(7) (or Table S and Table 80CNSMT contained in § 20.2031–7A(e)(4) for valuation dates after April 30, 1989, and before May 1, 1999) and Table J and Table K contained in paragraph (d)(6) of this section, must be used in the application of the provisions of this section when the section 7520 interest rate component is between 4.2 and 14 percent.

    Table S—Based on Life on Life Table 90CM Single Life Remainder Factors, Applicable After April 30, 1999, and Before May 1, 2009

    [Interest rate]

    Age 4.2% 4.4% 4.6% 4.8% 5.0% 5.2% 5.4% 5.6% 5.8% 6.0%
    0.06752.06130.05586.05109.04691.04322.03998.03711.03458.03233
    1.06137.05495.04932.04438.04003.03620.03283.02985.02721.02487
    2.06325.05667.05088.04580.04132.03737.03388.03079.02806.02563
    3.06545.05869.05275.04752.04291.03883.03523.03203.02920.02668
    4.06784.06092.05482.04944.04469.04048.03676.03346.03052.02791
    5.07040.06331.05705.05152.04662.04229.03845.03503.03199.02928
    6.07310.06583.05941.05372.04869.04422.04025.03672.03357.03076
    7.07594.06849.06191.05607.05089.04628.04219.03854.03528.03236
    8.07891.07129.06453.05853.05321.04846.04424.04046.03709.03407
    9.08203.07423.06731.06115.05567.05079.04643.04253.03904.03592
    10.08532.07734.07024.06392.05829.05326.04877.04474.04114.03790
    11.08875.08059.07331.06683.06104.05587.05124.04709.04336.04002
    12.09233.08398.07653.06989.06394.05862.05385.04957.04572.04226
    13.09601.08748.07985.07304.06693.06146.05655.05214.04816.04458
    14.09974.09102.08322.07624.06997.06435.05929.05474.05064.04694
    15.10350.09460.08661.07946.07303.06725.06204.05735.05312.04930
    16.10728.09818.09001.08268.07608.07014.06479.05996.05559.05164
    17.11108.10179.09344.08592.07916.07306.06755.06257.05807.05399
    18.11494.10545.09691.08921.08227.07601.07034.06521.06057.05636
    19.11889.10921.10047.09259.08548.07904.07322.06794.06315.05880
    20.12298.11310.10417.09610.08881.08220.07622.07078.06584.06135
    21.12722.11713.10801.09976.09228.08550.07935.07375.06866.06403
    22.13159.12130.11199.10354.09588.08893.08260.07685.07160.06682
    23.13613.12563.11612.10748.09964.09250.08601.08009.07468.06975
    24.14084.13014.12043.11160.10357.09625.08958.08349.07793.07284
    25.14574.13484.12493.11591.10768.10018.09334.08708.08135.07611
    26.15084.13974.12963.12041.11199.10431.09728.09085.08496.07956
    27.15615.14485.13454.12513.11652.10865.10144.09484.08878.08322
    28.16166.15016.13965.13004.12124.11319.10580.09901.09279.08706
    29.16737.15567.14497.13516.12617.11792.11035.10339.09699.09109
    30.17328.16138.15048.14047.13129.12286.11510.10796.10138.09532
    31.17938.16728.15618.14599.13661.12799.12004.11272.10597.09974
    32.18568.17339.16210.15171.14214.13333.12520.11769.11076.10435
    33.19220.17972.16824.15766.14790.13889.13058.12289.11578.10920
    34.19894.18627.17460.16383.15388.14468.13618.12831.12102.11426
    35.20592.19307.18121.17025.16011.15073.14204.13399.12652.11958
    36.21312.20010.18805.17691.16658.15701.14814.13990.13225.12514
    37.22057.20737.19514.18382.17331.16356.15450.14608.13825.13096
    38.22827.21490.20251.19100.18031.17038.16113.15253.14452.13705
    39.23623.22270.21013.19845.18759.17747.16805.15927.15108.14344
    40.24446.23078.21805.20620.19516.18487.17527.16631.15795.15013
    41.25298.23915.22626.21425.20305.19259.18282.17368.16514.15715
    42.26178.24782.23478.22262.21125.20062.19069.18138.17267.16450
    43.27087.25678.24360.23129.21977.20898.19888.18941.18053.17220
    44.28025.26603.25273.24027.22860.21766.20740.19777.18873.18023
    45.28987.27555.26212.24953.23772.22664.21622.20644.19724.18858
    46.29976.28533.27179.25908.24714.23591.22536.21542.20606.19725
    47.30987.29535.28171.26889.25682.24546.23476.22468.21518.20621
    48.32023.30563.29190.27897.26678.25530.24447.23425.22460.21549
    49.33082.31615.30234.28931.27702.26543.25447.24412.23434.22509
    50.34166.32694.31306.29995.28756.27586.26479.25432.24441.23502
    51.35274.33798.32404.31085.29838.28658.27541.26482.25479.24528
    52.36402.34924.33525.32200.30946.29757.28630.27561.26547.25584
    53.37550.36070.34668.33339.32078.30882.29746.28667.27643.26669
    54.38717.37237.35833.34500.33234.32031.30888.29801.28766.27782
    55.39903.38424.37019.35683.34413.33205.32056.30961.29918.28925
    56.41108.39631.38227.36890.35617.34405.33250.32149.31099.30097
    57.42330.40857.39455.38118.36844.35629.34469.33363.32306.31297
    58.43566.42098.40699.39364.38089.36873.35710.34600.33538.32522
    59.44811.43351.41956.40623.39350.38133.36968.35855.34789.33768
    60.46066.44613.43224.41896.40624.39408.38243.37127.36058.35033
    61.47330.45887.44505.43182.41914.40699.39535.38418.37347.36318
    62.48608.47175.45802.44485.43223.42011.40848.39732.38660.37629
    63.49898.48478.47115.45807.44550.43343.42184.41069.39997.38966
    64.51200.49793.48442.47143.45895.44694.43539.42427.41357.40326
    65.52512.51121.49782.48495.47255.46062.44912.43805.42738.41709
    66.53835.52461.51137.49862.48634.47449.46307.45206.44143.43118
    67.55174.53818.52511.51250.50034.48860.47727.46633.45576.44556
    68.56524.55188.53899.52654.51452.50291.49168.48083.47034.46020
    69.57882.56568.55299.54071.52885.51737.50627.49552.48513.47506
    70.59242.57951.56703.55495.54325.53193.52096.51034.50004.49007
    71.60598.59332.58106.56918.55767.54651.53569.52520.51503.50516
    72.61948.60707.59504.58338.57206.56108.55043.54009.53004.52029
    73.63287.62073.60895.59751.58640.57561.56513.55495.54505.53543
    74.64621.63435.62282.61162.60073.59015.57985.56984.56009.55061
    75.65953.64796.63671.62575.61510.60473.59463.58480.57523.56591
    76.67287.66160.65063.63995.62954.61940.60952.59989.59050.58135
    77.68622.67526.66459.65419.64404.63415.62450.61509.60590.59694
    78.69954.68892.67856.66845.65858.64895.63955.63036.62140.61264
    79.71278.70250.69246.68265.67308.66372.65457.64563.63690.62836
    80.72581.71588.70618.69668.68740.67833.66945.66077.65227.64396
    81.73857.72899.71962.71045.70147.69268.68408.67566.66741.65933
    82.75101.74178.73274.72389.71522.70672.69840.69024.68225.67441
    83.76311.75423.74553.73700.72864.72044.71240.70451.69678.68919
    84.77497.76645.75809.74988.74183.73393.72618.71857.71110.70377
    85.78665.77848.77047.76260.75487.74728.73982.73250.72530.71823
    86.79805.79025.78258.77504.76764.76036.75320.74617.73925.73245
    87.80904.80159.79427.78706.77998.77301.76615.75940.75277.74624
    88.81962.81251.80552.79865.79188.78521.77865.77220.76584.75958
    89.82978.82302.81636.80980.80335.79699.79072.78455.77847.77248
    90.83952.83309.82676.82052.81437.80831.80234.79645.79064.78492
    91.84870.84260.83658.83064.82479.81902.81332.80771.80217.79671
    92.85716.85136.84563.83998.83441.82891.82348.81812.81283.80761
    93.86494.85942.85396.84858.84326.83801.83283.82771.82266.81767
    94.87216.86690.86170.85657.85149.84648.84153.83664.83181.82704
    95.87898.87397.86902.86412.85928.85450.84977.84510.84049.83592
    96.88537.88060.87587.87121.86659.86203.85751.85305.84864.84427
    97.89127.88672.88221.87775.87335.86898.86467.86040.85618.85200
    98.89680.89245.88815.88389.87968.87551.87138.86730.86326.85926
    99.90217.89803.89393.88987.88585.88187.87793.87402.87016.86633
    100.90738.90344.89953.89567.89183.88804.88428.88056.87687.87322
    101.91250.90876.90504.90137.89772.89412.89054.88699.88348.88000
    102.91751.91396.91045.90696.90350.90007.89668.89331.88997.88666
    103.92247.91912.91579.91249.90922.90598.90276.89957.89640.89326
    104.92775.92460.92148.91839.91532.91227.90924.90624.90326.90031
    105.93290.92996.92704.92415.92127.91841.91558.91276.90997.90719
    106.93948.93680.93415.93151.92889.92628.92370.92113.91857.91604
    107.94739.94504.94271.94039.93808.93579.93351.93124.92899.92675
    108.95950.95767.95585.95404.95224.95045.94867.94689.94512.94336
    109.97985.97893.97801.97710.97619.97529.97438.97348.97259.97170
    Age 6.2% 6.4% 6.6% 6.8% 7.0% 7.2% 7.4% 7.6% 7.8% 8.0%
    0.03034.02857.02700.02559.02433.02321.02220.02129.02047.01973
    1.02279.02094.01929.01782.01650.01533.01427.01331.01246.01168
    2.02347.02155.01983.01829.01692.01569.01458.01358.01268.01187
    3.02444.02243.02065.01905.01761.01632.01516.01412.01317.01232
    4.02558.02349.02163.01996.01846.01712.01590.01481.01382.01292
    5.02686.02469.02275.02101.01945.01804.01677.01562.01458.01364
    6.02825.02600.02398.02217.02053.01906.01773.01653.01544.01445
    7.02976.02742.02532.02343.02172.02019.01880.01754.01640.01536
    8.03137.02894.02675.02479.02301.02140.01995.01864.01744.01635
    9.03311.03059.02832.02627.02442.02274.02122.01985.01859.01745
    10.03499.03237.03001.02788.02595.02420.02262.02118.01987.01867
    11.03700.03428.03183.02961.02760.02578.02413.02262.02125.02000
    12.03913.03632.03377.03146.02937.02748.02575.02418.02275.02144
    13.04135.03843.03579.03339.03122.02924.02744.02580.02431.02294
    14.04359.04057.03783.03534.03308.03102.02915.02744.02587.02444
    15.04584.04270.03986.03728.03493.03279.03083.02905.02742.02593
    16.04806.04482.04187.03919.03674.03452.03248.03063.02892.02736
    17.05029.04692.04387.04108.03855.03623.03411.03218.03040.02877
    18.05253.04905.04588.04299.04036.03795.03574.03373.03187.03017
    19.05484.05124.04796.04496.04222.03972.03742.03532.03339.03161
    20.05726.05354.05013.04702.04418.04158.03919.03700.03498.03313
    21.05980.05595.05242.04920.04625.04354.04105.03877.03667.03473
    22.06246.05847.05482.05147.04841.04559.04301.04063.03844.03642
    23.06524.06112.05734.05387.05069.04777.04508.04260.04032.03821
    24.06819.06392.06001.05642.05312.05008.04728.04470.04232.04012
    25.07131.06690.06285.05913.05570.05255.04964.04695.04447.04218
    26.07460.07005.06586.06200.05845.05518.05215.04936.04677.04438
    27.07810.07340.06907.06508.06140.05800.05485.05195.04925.04676
    28.08179.07693.07246.06833.06451.06098.05772.05469.05189.04929
    29.08566.08065.07603.07176.06780.06414.06075.05761.05469.05198
    30.08973.08456.07978.07536.07127.06748.06396.06069.05766.05483
    31.09398.08865.08372.07915.07491.07098.06733.06394.06078.05785
    32.09843.09294.08785.08313.07875.07468.07089.06737.06409.06103
    33.10310.09745.09220.08732.08279.07858.07466.07100.06759.06441
    34.10799.10217.09676.09173.08705.08269.07862.07483.07129.06798
    35.11314.10715.10157.09638.09155.08704.08283.07890.07522.07179
    36.11852.11236.10662.10127.09628.09162.08726.08319.07938.07581
    37.12416.11783.11193.10641.10126.09645.09194.08772.08377.08006
    38.13009.12359.11751.11183.10652.10155.09689.09253.08843.08459
    39.13629.12962.12338.11753.11206.10693.10212.09761.09337.08938
    40.14281.13597.12955.12355.11791.11262.10766.10299.09860.09447
    41.14966.14264.13606.12989.12409.11864.11352.10870.10417.09989
    42.15685.14966.14291.13657.13061.12500.11972.11475.11006.10564
    43.16437.15702.15010.14360.13747.13171.12627.12115.11631.11174
    44.17224.16472.15764.15098.14469.13876.13317.12789.12290.11819
    45.18042.17274.16550.15867.15223.14615.14040.13496.12982.12496
    46.18893.18110.17370.16671.16011.15387.14796.14238.13708.13207
    47.19775.18975.18220.17505.16830.16190.15584.15010.14466.13950
    48.20688.19873.19102.18373.17682.17027.16406.15817.15258.14727
    49.21633.20804.20018.19274.18568.17898.17262.16658.16084.15539
    50.22612.21769.20969.20210.19490.18805.18155.17536.16948.16388
    51.23625.22769.21955.21182.20448.19749.19084.18452.17849.17275
    52.24669.23799.22973.22186.21438.20726.20047.19400.18784.18196
    53.25742.24861.24022.23222.22461.21735.21043.20383.19753.19151
    54.26845.25952.25101.24290.23516.22777.22072.21399.20756.20140
    55.27978.27074.26212.25389.24604.23853.23136.22450.21793.21166
    56.29140.28227.27355.26522.25725.24963.24233.23535.22867.22227
    57.30333.29411.28529.27686.26879.26106.25365.24656.23976.23324
    58.31551.30621.29731.28878.28061.27278.26528.25807.25116.24453
    59.32790.31854.30956.30095.29269.28477.27716.26986.26284.25610
    60.34050.33107.32202.31334.30500.29699.28929.28190.27478.26794
    61.35331.34384.33473.32598.31757.30948.30170.29422.28701.28007
    62.36639.35688.34772.33892.33044.32229.31443.30687.29958.29255
    63.37974.37020.36101.35216.34363.33542.32750.31986.31250.30539
    64.39334.38378.37456.36568.35711.34884.34087.33317.32574.31857
    65.40718.39761.38838.37947.37087.36257.35455.34681.33932.33208
    66.42128.41172.40249.39357.38496.37663.36858.36079.35326.34597
    67.43569.42616.41694.40803.39941.39107.38299.37518.36761.36028
    68.45038.44089.43170.42281.41419.40585.39777.38994.38235.37499
    69.46531.45587.44672.43786.42927.42094.41286.40503.39743.39006
    70.48040.47103.46194.45312.44456.43626.42820.42038.41278.40540
    71.49558.48629.47727.46851.46000.45174.44371.43591.42832.42095
    72.51082.50162.49268.48399.47554.46733.45934.45157.44401.43666
    73.52607.51697.50813.49952.49114.48299.47506.46733.45981.45249
    74.54139.53241.52367.51515.50686.49879.49092.48325.47578.46849
    75.55683.54798.53936.53095.52276.51477.50698.49938.49197.48474
    76.57243.56373.55524.54696.53888.53100.52330.51579.50846.50130
    77.58819.57965.57132.56318.55523.54747.53988.53247.52523.51815
    78.60408.59572.58755.57957.57177.56414.55668.54939.54225.53527
    79.62001.61184.60385.59604.58840.58092.57360.56644.55943.55256
    80.63582.62786.62007.61244.60497.59765.59048.58347.57659.56985
    81.65142.64367.63608.62864.62135.61421.60721.60034.59361.58701
    82.66673.65920.65182.64458.63748.63052.62368.61698.61041.60395
    83.68175.67444.66728.66024.65334.64656.63991.63338.62696.62066
    84.69657.68950.68256.67574.66904.66246.65599.64964.64340.63727
    85.71128.70446.69775.69116.68467.67830.67204.66587.65982.65386
    86.72576.71919.71272.70636.70010.69394.68789.68193.67606.67029
    87.73981.73349.72726.72114.71511.70917.70333.69757.69190.68632
    88.75342.74735.74137.73548.72968.72396.71833.71279.70732.70194
    89.76658.76076.75503.74938.74381.73832.73290.72757.72231.71712
    90.77928.77371.76823.76281.75748.75221.74702.74190.73684.73186
    91.79131.78600.78075.77557.77046.76542.76044.75553.75068.74589
    92.80246.79737.79235.78740.78250.77767.77290.76818.76353.75893
    93.81274.80788.80307.79832.79363.78899.78441.77989.77542.77100
    94.82232.81766.81306.80850.80401.79956.79517.79082.78653.78228
    95.83141.82695.82254.81818.81387.80961.80539.80122.79710.79302
    96.83996.83569.83147.82729.82316.81907.81503.81103.80707.80315
    97.84787.84378.83973.83573.83176.82784.82396.82012.81632.81255
    98.85530.85138.84750.84366.83985.83609.83236.82867.82502.82140
    99.86255.85880.85508.85140.84776.84415.84057.83703.83353.83005
    100.86960.86601.86246.85894.85546.85200.84858.84519.84183.83849
    101.87655.87313.86974.86638.86305.85975.85648.85324.85003.84684
    102.88338.88012.87689.87369.87052.86738.86426.86116.85809.85505
    103.89015.88706.88399.88095.87793.87494.87197.86903.86611.86321
    104.89737.89446.89157.88871.88586.88304.88024.87745.87469.87195
    105.90443.90170.89898.89628.89360.89094.88830.88568.88307.88049
    106.91351.91101.90852.90605.90359.90115.89873.89632.89392.89154
    107.92452.92230.92010.91791.91573.91356.91141.90927.90714.90502
    108.94161.93987.93814.93641.93469.93298.93128.92958.92790.92622
    109.97081.96992.96904.96816.96729.96642.96555.96468.96382.96296
    Age 8.2% 8.4% 8.6% 8.8% 9.0% 9.2% 9.4% 9.6% 9.8% 10.0%
    0.01906.01845.01790.01740.01694.01652.01613.01578.01546.01516
    1.01098.01034.00977.00924.00876.00833.00793.00756.00722.00691
    2.01113.01046.00986.00930.00880.00834.00791.00753.00717.00684
    3.01155.01084.01020.00962.00909.00860.00816.00775.00737.00702
    4.01211.01137.01069.01008.00952.00900.00853.00810.00770.00733
    5.01279.01201.01130.01065.01006.00952.00902.00856.00814.00775
    6.01356.01274.01199.01131.01068.01011.00959.00910.00865.00824
    7.01442.01356.01277.01205.01140.01079.01023.00972.00925.00881
    8.01536.01446.01363.01287.01218.01154.01096.01041.00991.00945
    9.01641.01546.01460.01380.01307.01240.01178.01120.01068.01019
    10.01758.01659.01567.01484.01407.01336.01270.01210.01154.01103
    11.01886.01781.01686.01598.01517.01442.01373.01310.01251.01196
    12.02024.01915.01814.01721.01636.01558.01485.01419.01357.01299
    13.02168.02054.01948.01851.01762.01679.01603.01533.01467.01407
    14.02313.02193.02083.01981.01887.01801.01721.01646.01578.01514
    15.02456.02330.02214.02107.02009.01918.01834.01756.01684.01617
    16.02593.02462.02340.02229.02126.02030.01942.01860.01785.01714
    17.02728.02590.02463.02346.02238.02138.02046.01960.01880.01806
    18.02861.02717.02584.02462.02348.02243.02146.02056.01972.01894
    19.02998.02847.02708.02580.02461.02351.02249.02154.02066.01984
    20.03142.02984.02839.02704.02580.02465.02357.02258.02165.02079
    21.03295.03130.02978.02837.02706.02585.02473.02368.02271.02180
    22.03455.03283.03124.02976.02839.02712.02594.02484.02382.02286
    23.03626.03446.03279.03124.02981.02847.02723.02608.02500.02400
    24.03809.03620.03446.03283.03133.02993.02863.02741.02628.02522
    25.04005.03808.03625.03456.03298.03151.03014.02887.02768.02656
    26.04216.04010.03819.03641.03476.03322.03178.03044.02919.02802
    27.04444.04229.04029.03843.03670.03508.03357.03217.03085.02962
    28.04687.04463.04254.04059.03877.03708.03550.03402.03263.03133
    29.04946.04712.04493.04289.04099.03922.03756.03600.03455.03318
    30.05221.04976.04748.04534.04335.04149.03975.03812.03659.03515
    31.05511.05255.05017.04794.04585.04390.04208.04037.03876.03725
    32.05818.05551.05302.05069.04851.04647.04455.04276.04107.03948
    33.06144.05866.05606.05363.05135.04921.04720.04532.04355.04188
    34.06489.06200.05928.05674.05436.05212.05002.04805.04619.04444
    35.06857.06555.06273.06007.05758.05524.05304.05097.04902.04718
    36.07246.06932.06638.06361.06101.05856.05626.05409.05205.05012
    37.07659.07332.07025.06737.06466.06210.05969.05742.05528.05325
    38.08098.07758.07439.07138.06855.06588.06336.06099.05874.05662
    39.08563.08210.07878.07565.07270.06992.06729.06480.06245.06023
    40.09059.08692.08347.08021.07714.07423.07149.06889.06643.06411
    41.09586.09206.08848.08509.08189.07886.07600.07329.07072.06828
    42.10147.09753.09381.09029.08696.08381.08083.07800.07531.07277
    43.10742.10334.09948.09583.09237.08909.08598.08304.08024.07758
    44.11373.10950.10551.10172.09813.09472.09148.08841.08549.08272
    45.12035.11599.11185.10792.10420.10066.09730.09410.09106.08817
    46.12732.12281.11853.11447.11061.10694.10345.10013.09696.09395
    47.13460.12995.12553.12133.11733.11353.10991.10646.10317.10004
    48.14223.13743.13287.12853.12439.12046.11671.11313.10972.10646
    49.15020.14526.14056.13608.13181.12774.12385.12015.11661.11322
    50.15855.15347.14862.14401.13960.13540.13138.12754.12388.12037
    51.16727.16205.15707.15232.14777.14344.13929.13532.13153.12789
    52.17634.17098.16587.16097.15630.15183.14755.14345.13953.13577
    53.18576.18027.17501.16999.16518.16057.15616.15194.14789.14400
    54.19552.18990.18451.17935.17441.16968.16514.16078.15661.15260
    55.20564.19989.19437.18908.18402.17915.17449.17001.16571.16157
    56.21613.21025.20461.19919.19400.18901.18422.17962.17519.17093
    57.22698.22098.21522.20968.20436.19925.19434.18961.18507.18069
    58.23816.23204.22616.22051.21507.20984.20481.19996.19530.19080
    59.24962.24339.23740.23163.22608.22073.21558.21062.20584.20123
    60.26136.25502.24892.24304.23738.23192.22666.22158.21669.21196
    61.27339.26695.26075.25477.24900.24343.23806.23288.22787.22304
    62.28578.27925.27295.26687.26100.25533.24985.24456.23945.23451
    63.29854.29192.28553.27935.27339.26762.26205.25666.25145.24641
    64.31164.30494.29846.29221.28615.28030.27463.26915.26384.25870
    65.32508.31831.31177.30543.29930.29336.28761.28203.27663.27140
    66.33891.33208.32547.31906.31285.30684.30101.29536.28987.28456
    67.35318.34630.33963.33316.32689.32081.31491.30918.30363.29823
    68.36785.36093.35422.34770.34138.33524.32928.32349.31787.31240
    69.38290.37595.36920.36265.35628.35009.34408.33824.33256.32703
    70.39823.39127.38450.37791.37151.36529.35924.35335.34762.34204
    71.41378.40681.40003.39343.38701.38076.37467.36875.36298.35736
    72.42950.42253.41575.40914.40271.39644.39034.38438.37858.37293
    73.44535.43840.43162.42502.41858.41231.40619.40022.39440.38872
    74.46139.45446.44771.44112.43469.42842.42230.41632.41049.40479
    75.47769.47080.46408.45752.45111.44485.43874.43277.42693.42123
    76.49430.48747.48079.47427.46790.46167.45558.44963.44380.43811
    77.51123.50447.49786.49139.48506.47888.47282.46690.46111.45543
    78.52845.52177.51523.50884.50257.49645.49044.48457.47881.47317
    79.54584.53926.53282.52650.52032.51426.50833.50251.49681.49122
    80.56325.55678.55044.54423.53813.53216.52630.52056.51492.50939
    81.58054.57419.56797.56186.55587.54999.54422.53856.53300.52754
    82.59762.59140.58530.57931.57343.56766.56198.55641.55094.54557
    83.61448.60840.60243.59657.59081.58515.57958.57411.56874.56346
    84.63124.62531.61949.61376.60813.60259.59715.59179.58652.58134
    85.64800.64224.63657.63099.62550.62010.61478.60955.60441.59934
    86.66461.65902.65351.64810.64276.63751.63233.62724.62222.61728
    87.68083.67541.67008.66483.65965.65455.64953.64458.63970.63489
    88.69663.69140.68624.68116.67615.67121.66634.66154.65680.65213
    89.71201.70696.70199.69708.69224.68747.68276.67811.67353.66900
    90.72694.72209.71730.71257.70791.70330.69876.69427.68984.68547
    91.74117.73650.73190.72735.72286.71842.71404.70972.70545.70123
    92.75439.74991.74548.74110.73678.73251.72829.72412.72000.71593
    93.76664.76233.75806.75385.74969.74557.74150.73748.73350.72957
    94.77809.77394.76983.76578.76177.75780.75388.75000.74616.74237
    95.78899.78500.78106.77715.77329.76947.76569.76195.75826.75460
    96.79928.79544.79165.78790.78418.78050.77686.77326.76970.76617
    97.80883.80514.80149.79787.79430.79075.78725.78377.78033.77693
    98.81781.81427.81075.80727.80382.80041.79703.79368.79036.78708
    99.82661.82320.81982.81648.81316.80988.80662.80340.80020.79704
    100.83519.83192.82868.82547.82228.81913.81600.81290.80982.80678
    101.84368.84055.83744.83437.83131.82829.82529.82231.81936.81643
    102.85203.84904.84607.84313.84021.83731.83444.83159.82876.82596
    103.86034.85748.85465.85184.84906.84629.84355.84082.83812.83544
    104.86923.86653.86385.86119.85855.85593.85333.85074.84818.84563
    105.87792.87537.87283.87032.86782.86534.86287.86042.85799.85557
    106.88918.88683.88450.88218.87987.87758.87530.87304.87079.86855
    107.90291.90082.89873.89666.89460.89255.89051.88849.88647.88447
    108.92455.92288.92123.91958.91794.91630.91468.91306.91145.90984
    109.96211.96125.96041.95956.95872.95788.95704.95620.95537.95455
    Age 10.2% 10.4% 10.6% 10.8% 11.0% 11.2% 11.4% 11.6% 11.8% 12.0%
    0.01488.01463.01439.01417.01396.01377.01359.01343.01327.01312
    1.00662.00636.00612.00589.00568.00548.00530.00513.00497.00482
    2.00654.00626.00600.00576.00554.00533.00514.00496.00479.00463
    3.00670.00641.00613.00588.00564.00542.00522.00502.00484.00468
    4.00699.00668.00639.00612.00587.00563.00542.00521.00502.00484
    5.00739.00706.00675.00646.00620.00595.00571.00550.00529.00510
    6.00786.00751.00718.00687.00659.00633.00608.00585.00563.00543
    7.00841.00803.00769.00736.00706.00678.00652.00627.00604.00582
    8.00902.00863.00826.00791.00759.00730.00702.00675.00651.00628
    9.00973.00931.00892.00856.00822.00790.00760.00733.00706.00682
    10.01055.01010.00969.00930.00894.00861.00829.00799.00772.00746
    11.01146.01099.01055.01014.00976.00940.00907.00875.00846.00818
    12.01246.01196.01150.01106.01066.01028.00993.00960.00928.00899
    13.01351.01298.01249.01204.01161.01121.01084.01049.01016.00985
    14.01455.01400.01348.01300.01255.01213.01173.01136.01102.01069
    15.01555.01497.01443.01392.01345.01300.01259.01220.01183.01148
    16.01648.01587.01530.01477.01427.01380.01336.01295.01257.01220
    17.01737.01673.01612.01556.01504.01455.01408.01365.01324.01286
    18.01822.01754.01691.01632.01576.01525.01476.01430.01387.01347
    19.01908.01837.01770.01708.01650.01595.01544.01495.01450.01407
    20.01999.01924.01854.01788.01726.01669.01615.01564.01516.01471
    21.02096.02017.01943.01874.01809.01748.01691.01637.01586.01539
    22.02197.02114.02036.01963.01895.01830.01770.01713.01660.01610
    23.02306.02218.02136.02059.01987.01919.01855.01795.01739.01686
    24.02424.02331.02245.02163.02087.02016.01948.01885.01825.01769
    25.02552.02455.02364.02278.02197.02122.02051.01984.01920.01861
    26.02692.02589.02493.02403.02318.02238.02162.02091.02025.01961
    27.02846.02738.02636.02541.02451.02367.02287.02212.02141.02074
    28.03012.02898.02791.02690.02595.02506.02422.02342.02267.02196
    29.03190.03070.02957.02851.02751.02656.02567.02483.02404.02329
    30.03381.03254.03135.03023.02917.02817.02723.02634.02551.02471
    31.03583.03450.03324.03206.03094.02989.02890.02796.02707.02623
    32.03799.03659.03527.03402.03284.03173.03068.02968.02874.02785
    33.04031.03883.03744.03612.03488.03371.03260.03155.03055.02961
    34.04279.04123.03976.03838.03707.03583.03465.03354.03249.03149
    35.04545.04382.04227.04081.03943.03812.03688.03571.03459.03354
    36.04830.04658.04495.04341.04196.04058.03927.03803.03685.03573
    37.05134.04953.04782.04620.04467.04321.04183.04052.03928.03809
    38.05462.05272.05092.04921.04760.04606.04461.04322.04191.04066
    39.05812.05613.05424.05245.05075.04913.04760.04614.04475.04343
    40.06190.05981.05782.05594.05415.05245.05083.04929.04783.04643
    41.06597.06378.06170.05972.05784.05605.05435.05272.05118.04970
    42.07035.06806.06587.06380.06182.05994.05815.05644.05481.05326
    43.07505.07265.07036.06818.06611.06414.06225.06045.05874.05710
    44.08008.07757.07518.07290.07072.06865.06667.06478.06298.06125
    45.08542.08279.08029.07791.07563.07346.07138.06940.06750.06569
    46.09108.08834.08573.08324.08085.07858.07640.07432.07233.07043
    47.09705.09419.09147.08886.08637.08399.08172.07954.07745.07545
    48.10335.10038.09754.09482.09222.08973.08735.08507.08288.08078
    49.10999.10690.10394.10111.09840.09581.09332.09093.08864.08644
    50.11701.11380.11073.10778.10496.10225.09965.09716.09477.09247
    51.12441.12108.11789.11482.11189.10907.10636.10376.10126.09886
    52.13217.12871.12540.12222.11916.11623.11341.11071.10810.10560
    53.14028.13670.13327.12997.12680.12375.12082.11801.11529.11268
    54.14875.14505.14150.13808.13480.13163.12859.12566.12284.12012
    55.15760.15378.15011.14657.14317.13989.13674.13370.13077.12794
    56.16684.16290.15911.15546.15194.14855.14528.14213.13909.13615
    57.17648.17242.16851.16474.16111.15760.15422.15096.14781.14477
    58.18647.18229.17827.17438.17064.16702.16353.16015.15689.15374
    59.19678.19249.18835.18435.18049.17676.17316.16968.16631.16305
    60.20740.20300.19875.19464.19066.18682.18311.17952.17604.17268
    61.21837.21385.20949.20527.20119.19724.19341.18971.18613.18266
    62.22973.22511.22064.21631.21212.20807.20414.20033.19664.19306
    63.24152.23680.23222.22779.22350.21934.21530.21139.20760.20392
    64.25372.24890.24422.23969.23529.23103.22690.22289.21899.21521
    65.26633.26141.25664.25201.24752.24316.23893.23482.23083.22695
    66.27940.27439.26953.26481.26023.25577.25145.24724.24316.23918
    67.29299.28790.28296.27815.27348.26894.26453.26024.25606.25200
    68.30709.30193.29691.29202.28728.28265.27816.27378.26952.26537
    69.32166.31643.31134.30639.30157.29687.29230.28785.28351.27928
    70.33661.33133.32618.32116.31628.31152.30688.30235.29794.29364
    71.35188.34654.34134.33627.33133.32651.32181.31722.31275.30838
    72.36742.36204.35679.35168.34668.34181.33706.33241.32788.32345
    73.38317.37776.37248.36733.36229.35738.35257.34788.34330.33882
    74.39923.39380.38849.38330.37823.37328.36844.36370.35908.35455
    75.41566.41021.40489.39968.39459.38961.38474.37997.37531.37074
    76.43254.42709.42176.41655.41144.40645.40156.39677.39208.38749
    77.44988.44444.43912.43391.42880.42380.41891.41411.40940.40479
    78.46765.46224.45694.45174.44665.44166.43677.43197.42726.42265
    79.48574.48037.47510.46993.46487.45990.45502.45024.44554.44094
    80.50397.49865.49343.48830.48327.47834.47349.46873.46406.45947
    81.52219.51693.51176.50669.50171.49682.49201.48729.48265.47809
    82.54029.53510.53000.52499.52007.51523.51047.50580.50120.49667
    83.55826.55315.54813.54319.53834.53356.52886.52424.51969.51522
    84.57624.57123.56629.56144.55666.55195.54732.54277.53828.53386
    85.59435.58944.58460.57984.57516.57054.56599.56151.55710.55275
    86.61241.60762.60289.59824.59365.58913.58468.58029.57596.57170
    87.63015.62548.62087.61633.61185.60744.60309.59880.59456.59039
    88.64753.64299.63851.63409.62973.62543.62118.61700.61287.60879
    89.66454.66013.65579.65150.64726.64308.63895.63488.63086.62689
    90.68115.67689.67268.66853.66442.66037.65637.65241.64851.64465
    91.69706.69294.68887.68486.68089.67696.67309.66925.66547.66173
    92.71190.70792.70399.70011.69627.69247.68872.68501.68134.67771
    93.72569.72184.71804.71429.71057.70689.70326.69967.69611.69259
    94.73861.73490.73123.72759.72400.72044.71692.71344.71000.70659
    95.75097.74739.74384.74033.73686.73342.73002.72665.72331.72001
    96.76267.75922.75579.75240.74905.74572.74243.73917.73595.73275
    97.77356.77022.76691.76363.76039.75718.75399.75084.74772.74463
    98.78382.78059.77740.77423.77110.76799.76491.76186.75884.75584
    99.79390.79079.78771.78465.78162.77862.77565.77270.76978.76688
    100.80376.80076.79779.79485.79193.78904.78617.78333.78051.77771
    101.81353.81066.80780.80497.80217.79938.79662.79388.79117.78847
    102.82318.82042.81768.81496.81227.80960.80694.80431.80170.79911
    103.83278.83014.82752.82491.82233.81977.81723.81470.81220.80971
    104.84310.84059.83810.83563.83317.83073.82831.82591.82352.82115
    105.85318.85079.84843.84607.84374.84142.83911.83682.83455.83229
    106.86633.86413.86193.85975.85758.85543.85329.85116.84904.84694
    107.88247.88049.87852.87656.87460.87266.87073.86881.86690.86500
    108.90825.90666.90507.90350.90193.90037.89881.89727.89572.89419
    109.95372.95290.95208.95126.95045.94964.94883.94803.94723.94643
    Age 12.2% 12.4% 12.6% 12.8% 13.0% 13.2% 13.4% 13.6% 13.8% 14.0%
    0.01298.01285.01273.01261.01250.01240.01230.01221.01212.01203
    1.00468.00455.00443.00431.00420.00410.00400.00391.00382.00374
    2.00448.00435.00421.00409.00398.00387.00376.00366.00357.00348
    3.00452.00437.00423.00410.00398.00386.00375.00365.00355.00345
    4.00468.00452.00437.00423.00410.00397.00386.00375.00364.00354
    5.00493.00476.00460.00445.00431.00418.00405.00393.00382.00371
    6.00524.00506.00489.00473.00458.00444.00430.00418.00406.00394
    7.00562.00543.00525.00508.00492.00477.00462.00449.00436.00423
    8.00606.00586.00566.00548.00531.00515.00499.00485.00471.00458
    9.00659.00637.00616.00597.00579.00561.00545.00529.00514.00500
    10.00721.00698.00676.00655.00636.00617.00600.00583.00567.00552
    11.00792.00767.00744.00722.00701.00682.00663.00645.00628.00612
    12.00871.00845.00821.00797.00775.00754.00735.00716.00698.00681
    13.00955.00928.00902.00877.00854.00831.00810.00790.00771.00753
    14.01038.01009.00981.00955.00930.00907.00885.00864.00843.00824
    15.01116.01085.01056.01028.01002.00977.00954.00932.00910.00890
    16.01186.01153.01123.01094.01066.01040.01015.00992.00969.00948
    17.01250.01215.01183.01152.01124.01096.01070.01045.01022.00999
    18.01308.01272.01238.01206.01175.01147.01119.01093.01068.01044
    19.01367.01329.01293.01259.01227.01196.01167.01140.01113.01088
    20.01428.01388.01350.01314.01280.01248.01217.01188.01161.01134
    21.01494.01451.01411.01373.01337.01303.01271.01240.01211.01183
    22.01562.01517.01475.01435.01397.01361.01326.01294.01263.01233
    23.01635.01588.01543.01501.01460.01422.01386.01351.01319.01287
    24.01716.01665.01618.01573.01530.01489.01451.01415.01380.01347
    25.01804.01751.01701.01653.01608.01565.01524.01485.01448.01413
    26.01902.01845.01792.01741.01693.01648.01604.01563.01524.01487
    27.02011.01951.01895.01841.01790.01742.01696.01652.01610.01571
    28.02129.02066.02006.01949.01895.01844.01795.01748.01704.01662
    29.02258.02191.02127.02067.02009.01955.01903.01853.01806.01762
    30.02396.02325.02257.02193.02132.02074.02019.01966.01916.01869
    31.02543.02467.02396.02328.02263.02201.02143.02087.02034.01983
    32.02701.02621.02545.02472.02404.02338.02276.02217.02160.02106
    33.02871.02786.02706.02629.02556.02487.02420.02357.02297.02240
    34.03054.02964.02879.02797.02720.02646.02576.02509.02445.02383
    35.03253.03158.03067.02981.02898.02820.02745.02674.02606.02541
    36.03467.03366.03269.03178.03090.03007.02928.02852.02779.02710
    37.03697.03590.03488.03391.03298.03209.03125.03044.02967.02893
    38.03947.03833.03725.03622.03524.03430.03340.03254.03172.03094
    39.04217.04096.03982.03873.03768.03669.03573.03482.03395.03312
    40.04510.04383.04262.04146.04035.03930.03828.03732.03639.03550
    41.04830.04695.04567.04445.04327.04215.04108.04005.03907.03812
    42.05177.05035.04900.04770.04646.04527.04413.04304.04200.04100
    43.05553.05404.05261.05123.04992.04866.04746.04630.04520.04413
    44.05960.05802.05651.05506.05368.05235.05107.04985.04867.04754
    45.06395.06229.06069.05917.05770.05630.05495.05365.05241.05121
    46.06860.06685.06517.06356.06202.06053.05911.05774.05643.05516
    47.07353.07169.06992.06823.06660.06504.06353.06209.06070.05936
    48.07877.07684.07498.07320.07149.06984.06826.06673.06527.06385
    49.08433.08231.08036.07849.07669.07495.07329.07168.07013.06864
    50.09026.08814.08609.08413.08224.08042.07867.07698.07535.07378
    51.09655.09433.09219.09013.08815.08624.08440.08262.08091.07926
    52.10318.10086.09863.09647.09439.09239.09046.08860.08680.08506
    53.11017.10774.10541.10315.10098.09888.09686.09491.09302.09120
    54.11750.11498.11254.11019.10792.10572.10361.10156.09958.09767
    55.12522.12258.12005.11759.11522.11294.11072.10859.10652.10451
    56.13332.13059.12794.12539.12292.12054.11823.11599.11383.11174
    57.14183.13899.13624.13359.13102.12853.12613.12380.12154.11936
    58.15070.14775.14490.14215.13948.13689.13439.13197.12962.12734
    59.15990.15685.15389.15103.14826.14558.14298.14046.13801.13564
    60.16942.16626.16321.16024.15737.15459.15189.14927.14673.14426
    61.17929.17603.17287.16981.16684.16395.16115.15844.15580.15324
    62.18960.18623.18297.17980.17673.17375.17085.16803.16530.16264
    63.20035.19688.19352.19025.18708.18400.18100.17809.17525.17250
    64.21154.20797.20451.20114.19787.19469.19159.18859.18566.18281
    65.22318.21951.21595.21249.20912.20584.20265.19955.19652.19358
    66.23532.23156.22790.22434.22088.21751.21422.21102.20791.20487
    67.24804.24419.24044.23679.23324.22977.22640.22311.21990.21678
    68.26133.25740.25356.24983.24618.24263.23917.23579.23250.22929
    69.27516.27114.26723.26341.25969.25605.25251.24905.24567.24237
    70.28945.28536.28137.27747.27367.26996.26633.26279.25934.25596
    71.30412.29996.29590.29193.28806.28427.28057.27696.27343.26998
    72.31913.31491.31078.30675.30281.29895.29519.29150.28790.28438
    73.33444.33016.32597.32188.31788.31396.31013.30638.30271.29913
    74.35012.34579.34155.33741.33335.32938.32549.32168.31795.31430
    75.36628.36190.35762.35343.34932.34530.34136.33750.33372.33001
    76.38299.37858.37427.37004.36589.36183.35784.35394.35011.34636
    77.40028.39585.39151.38725.38307.37898.37496.37103.36716.36337
    78.41812.41368.40933.40506.40086.39675.39271.38874.38485.38103
    79.43641.43198.42762.42334.41914.41502.41096.40698.40308.39924
    80.45496.45054.44619.44192.43772.43360.42954.42556.42164.41779
    81.47360.46920.46487.46061.45643.45231.44827.44429.44038.43653
    82.49223.48785.48355.47932.47516.47106.46703.46307.45916.45532
    83.51081.50648.50221.49802.49388.48982.48581.48187.47799.47416
    84.52951.52523.52101.51686.51277.50874.50477.50086.49701.49321
    85.54847.54425.54009.53600.53196.52798.52406.52019.51638.51262
    86.56749.56335.55926.55523.55126.54734.54348.53966.53591.53220
    87.58627.58221.57820.57425.57035.56650.56270.55895.55526.55161
    88.60477.60079.59688.59301.58919.58542.58170.57802.57439.57081
    89.62297.61909.61527.61149.60776.60408.60044.59685.59330.58979
    90.64084.63707.63335.62968.62604.62246.61891.61540.61194.60851
    91.65803.65437.65076.64719.64366.64017.63672.63330.62993.62659
    92.67412.67058.66707.66360.66017.65678.65342.65010.64682.64357
    93.68911.68567.68227.67890.67557.67227.66901.66578.66258.65942
    94.70321.69988.69657.69330.69006.68686.68369.68055.67744.67437
    95.71674.71351.71031.70713.70399.70088.69781.69476.69174.68875
    96.72959.72646.72335.72028.71724.71422.71123.70828.70534.70244
    97.74156.73853.73552.73254.72959.72666.72376.72089.71804.71522
    98.75287.74993.74702.74413.74126.73842.73561.73282.73006.72732
    99.76401.76117.75834.75555.75277.75002.74730.74459.74191.73926
    100.77494.77219.76946.76676.76408.76142.75878.75616.75357.75099
    101.78580.78315.78052.77791.77532.77275.77021.76768.76517.76268
    102.79654.79399.79146.78894.78645.78397.78152.77908.77666.77426
    103.80724.80479.80236.79994.79755.79517.79280.79046.78813.78582
    104.81879.81646.81413.81183.80954.80726.80501.80276.80054.79832
    105.83005.82782.82560.82340.82121.81904.81688.81474.81260.81049
    106.84485.84277.84071.83866.83662.83459.83257.83057.82857.82659
    107.86311.86124.85937.85751.85566.85382.85199.85017.84835.84655
    108.89266.89114.88963.88812.88662.88513.88364.88216.88068.87922
    109.94563.94484.94405.94326.94248.94170.94092.94014.93937.93860

    Table 90CM—Applicable After April 30, 1999, and Before May 1, 2009

    Age ×
    (1)
    l(x)
    (2)
    Age ×
    (1)
    l(x)
    (2)
    Age ×
    (1)
    l(x)
    (2)
    010000037959697462852
    19906438957807560449
    29899239955817657955
    39894440953737755373
    49890741951567852704
    59887742949287949943
    69885043946878047084
    79882644944318144129
    89880345941548241091
    99878346938558337994
    109876647935288434876
    119875048931738531770
    129873449927878628687
    139871350923708725638
    149868151919188822658
    159863552914248919783
    169857353908859017046
    179849754902979114466
    189840955896589212066
    19983145688965939884
    20982155788214947951
    21981135887397956282
    22980065986506964868
    23978966085537973694
    24977846184490982745
    25976716283368991999
    269755663821691001424
    27974416480887101991
    28973226579519102672
    29971996678066103443
    30970706776531104284
    31969346874907105175
    32967916973186106105
    3396642707135710760
    3496485716941110833
    3596322726734410917
    369615073651541100

    (g) Valuation of annuities, interests for life or a term of years, and remainder or reversionary interests for estates of decedents for which the valuation date of the gross estate is on or after May 1, 2009, and before June 1, 2023

    (1) In general. Except as otherwise provided in §§ 20.2031–7(b) and 20.7520–3(b) (pertaining to certain limitations on the use of prescribed tables), if the valuation date for the gross estate of the decedent is on or after May 1, 2009, and before June 1, 2023, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests is the present value of the interests determined by using standard or special section 7520 actuarial factors and the valuation methodology described in § 20.2031–7(d). These factors are derived by using the appropriate section 7520 interest rate and, if applicable, the mortality component for the valuation date of the interest that is being valued. See §§ 20.7520–1 through 20.7520–4. See paragraph (g)(4) of this section for determination of the appropriate table for use in valuing these interests.

    (2) Transitional rules.

    (i) If a decedent dies on or after May 1, 2009, and if, on May 1, 2009, the decedent was under a mental disability so that the disposition of the decedent's property could not be changed, and the decedent dies on or before June 1, 2023, either without having regained the ability to dispose of the decedent's property or within 90 days of the date on which the decedent first regains that ability, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests included in the gross estate of the decedent is their present value determined either under this section or under the corresponding section applicable at the time the decedent first became subject to the mental disability, at the option of the decedent's executor. For example, see paragraph (d) of this section.

    (ii) If a decedent dies on or after May 1, 2009, and before July 1, 2009, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests based on one or more measuring lives included in the gross estate of the decedent is their present value determined under this section by using the section 7520 interest rate for the month in which the valuation date occurs (see §§ 20.7520–1(b) and 20.7520–2(a)(2)) and the appropriate actuarial tables under either paragraph (f)(4) or (g)(4) of this section, at the option of the decedent's executor.

    (iii) For purposes of paragraphs (g)(2)(i) and (ii) of this section, where the decedent's executor is given the option to use the appropriate actuarial tables under either paragraph (f)(4) or (g)(4) of this section, the decedent's executor must consistently use the same mortality basis with respect to each interest (income, remainder, partial, etc.) in the same property, and with respect to all transfers occurring on the same valuation date. For example, gift and income tax charitable deductions with respect to the same transfer must be determined based on factors with the same mortality basis, and all assets includible in the gross estate and/or estate tax deductions claimed must be valued based on factors with the same mortality basis.

    (iv) If a decedent dies after April 30, 2019, and before June 1, 2023, the fair market value of annuities, interests for life or a term of years, and remainder or reversionary interests based on one or more measuring lives included in the gross estate is their present value determined under § 20.2031–7(d)(3).

    (3) Publications and actuarial computations by the Internal Revenue Service. The factor for determining the present value of a remainder interest that is dependent on the termination of the life of one individual may be computed by using the formula in § 20.2031–7(d)(2)(ii)(B) to derive a remainder factor from the appropriate mortality table expressed to at least five decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table S. The factor for determining the present value of a remainder interest following a term certain may be computed by using the formula in § 20.2031–7(d)(2)(ii)(A) expressed to at least six decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table B. Adjustment factors for term certain annuities payable at the beginning of each interval may be computed by using the formula in § 20.2031–7(d)(2)(iv)(C) expressed to at least four decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table J. Adjustment factors for annuities payable at the end of each interval may be computed by using the formula in § 20.2031–7(d)(2)(iv)(B) expressed to at least four decimal places. For the convenience of taxpayers, actuarial factors have been computed by the IRS and appear in Table K. These tables are referenced and explained by IRS Publication 1457, Actuarial Values Version 3A (2009). Publication 1457 includes examples that illustrate how to compute many special factors for more unusual situations. The actuarial tables are available, at no charge, electronically via the IRS website at https://www.irs.gov/retirement-plans/actuarial-tables (or a corresponding URL as may be updated from time to time). Table S also can be found in paragraph (g)(4) of this section, but only for interest rates from 0.2 to 14 percent, inclusive. Tables B, J, and K also can be found in § 20.2031–7(d)(6), but only for interest rates from 4.2 to 14 percent, inclusive. If a special factor is required in the case of an actual decedent, the special factor may be calculated by the executor using the actuarial formulas in § 20.2031–7(d)(2) or the executor may request a ruling to obtain the factor from the Internal Revenue Service. The request for a ruling must be accompanied by a recitation of the facts including a statement of the date of birth for each measuring life, the date of the decedent's death, any other applicable dates, and a copy of the will, trust, or other relevant documents. A request for a ruling must comply with the instructions for requesting a ruling published periodically in the Internal Revenue Bulletin (see §§ 601.201 and 601.601(d)(2)(ii)(b) of this chapter) and must include payment of the required user fee.

    (4) Actuarial tables. Except as provided in § 20.7520–3(b) (pertaining to certain limitations on the use of prescribed tables), actuarial factors based on Table 2000CM must be used in the application of the provisions of this section. The factor for determining the present value of a remainder interest that is dependent on the termination of the life of one individual may be computed by using the formula in § 20.2031–7(d)(2)(ii)(B) to derive a remainder factor from the appropriate mortality table to at least five decimal places. For the convenience of taxpayers, actuarial factors, when the section 7520 interest rate component is from 0.2 to 20 percent, inclusive, have been computed by the IRS and appear in Table S (applicable on and after May 1, 2009, and before June 1, 2023). These actuarial tables, as referenced and explained by IRS Publication 1457, Actuarial Valuations Version 3A, are available, at no charge, electronically via the IRS website at https://www.irs.gov/retirement-plans/actuarial-tables. Table S (notwithstanding the lack of the applicable termination date in its heading), where the section 7520 interest rate component is from 0.2 to 14 percent, inclusive, and Table 2000CM are as follows:

    (5) Applicability dates. Paragraphs (g)(1) through (4) of this section apply on and after May 1, 2009, and before June 1, 2023.

    [T.D. 8540, 59 FR 30151, June 10, 1994, as amended at 59 FR 30152, June 10, 1994; T.D. 8819, 64 FR 23211, 23212, Apr. 30, 1999; 64 FR 33195, June 22, 1999; T.D. 8886, 65 FR 36943, June 12, 2000; T.D. 9448, 74 FR 21509, May 7, 2009; T.D. 9540, 76 FR 49637, Aug. 10, 2011; T.D. 9974, 88 FR 37445, June 7, 2023]