Example 1.(i) Plan P provides an accrued benefit equal to 1.0% of a participant's highest 3-year average compensation for each year of service. Plan P provides that an early retirement benefit can be received at age 60 equal to the participant's accrued benefit reduced by 0.5% per month for early commencement. On January 1, 2010, Participant A is age 60 and has 12 years of past service. Participant A's compensation for the years 2007 through 2009 was $47,000, $50,000, and $52,000, respectively. Participant A's rate of compensation at December 31, 2009, is $54,000 and A's rate of compensation for 2010 is assumed not to increase at any point during 2010. Decrements are applied at the beginning of the plan year.
(ii) Participant A's annual accrued benefit as of January 1, 2010, is $5,960 [0.01 × 12 × ($47,000 + $50,000 + $52,000) ÷ 3]. Participant A's expected benefit accrual for 2010 is $800 [0.01 × 13 × ($50,000 + $52,000 + $54,000) ÷ 3 − $5,960], to the extent that Participant A is expected to continue in employment for the full 2010 plan year.
(iii) Because the early retirement benefit is a function of the participant's accrued benefit, the allocation of the benefit for purposes of determining the target normal cost and funding target is made under paragraph (c)(1)(ii)(B) of this section. Accordingly, for Participant A, the early retirement benefit that is taken into account with respect to the decrement at age 60 when determining the 2010 funding target is $4,172 [$5,960 accrued benefit × (1 − 0.005 × 60 months)]. The expected accrual of the early retirement benefit during 2010 that is taken into account for Participant A with respect to the decrement at age 60 when determining the 2010 target normal cost is zero, because in this example the age-60 decrement would be applied as of January 1, 2010, before Participant A would earn any additional benefits. (But see paragraph (f)(7)(ii) of this section for an alternative approach for determining the expected accrual with respect to the decrement at age 60.)
(iv) The early retirement benefit for Participant A with respect to the decrement at age 61 that is taken into account in determining the funding target for the 2010 plan year is $4,529.60 [$5,960 accrued benefit × (1 − 0.005 × 48 months)]. The portion of the early retirement benefit that is taken into account for Participant A with respect to the decrement at age 61 that is taken into account in determining the target normal cost for the 2010 plan year is $608 [$800 expected annual accrual × (1 − 0.005 × 48 months)].
Example 2.(i) The facts are the same as in Example 1. In addition, the plan offers a $500 temporary monthly supplement to participants who complete 15 years of service and retire from active employment after attaining age 60. The temporary supplement is payable until the participant turns age 62. In addition, the supplement is limited so that it does not exceed the participant's Social Security benefit payable at age 62. On January 1, 2010, Participant B is age 55 and has 20 years of past service, and Participant C is age 60 and has 14 years of past service. For Participants B and C, the projected Social Security benefit is greater than $500 per month.
(ii) Because the temporary supplement is not a function of the participant's accrued benefit or service, the allocation of the benefit for purposes of determining the target normal cost and funding target is made under paragraph (c)(1)(ii)(D) of this section. The portion of the annual temporary supplement for Participant B with respect to the early retirement decrement occurring at age 60 that is taken into account in determining the funding target for the 2010 plan year is $4,800 [($500 × 12 months) × 20 years of past service ÷ 25 years of service at assumed early retirement age]. The portion of the annual temporary supplement for Participant B with respect to the early retirement decrement occurring at age 61 that is taken into account in determining the funding target for the 2010 plan year is $4,615 [($500 × 12 months) × 20 years of past service ÷ 26 years of service at assumed early retirement age]. In each case, the allocable portion of the benefit is assumed to be payable until age 62 (or the participant's death, if earlier).
(iii) For Participant B, the portion of the annual temporary supplement with respect to the early retirement decrement occurring at age 60 that is taken into account in determining the target normal cost for the 2010 plan year is $240 [($500 × 12 months) × 1 year of service expected to be earned during the plan year ÷ 25 years of service at assumed early retirement age]. The portion of the annual temporary supplement with respect to the early retirement decrement occurring at age 61 that is taken into account in determining the target normal cost for the 2010 plan year is $230.77 [($500 × 12 months) × 1 year of service expected to be earned during the plan year ÷ 26 years of service at assumed early retirement age]. The present value of these amounts reflects a payment period beginning with the decrement at age 60 or 61, as applicable, until age 62 (or assumed death, if earlier).
(iv) For Participant C, the portion of the annual temporary supplement with respect to the early retirement decrement occurring at age 61 (when the participant is first eligible for the benefit) that is taken into account in determining the funding target for the 2010 plan year is $5,600 [($500 × 12 months) × 14 years of past service ÷ 15 years of service at assumed early retirement age]. The present value of this amount reflects a payment period beginning with the decrement at age 61 until age 62 (or death if earlier).
Example 3.(i) The facts are the same as in Example 1. The plan also provides a single-sum death benefit (in addition to the qualified pre-retirement spouse's benefit) equal to the greater of the participant's annual accrued benefit at the time of death, or $10,000. The benefit is limited as necessary to ensure that the plan meets the incidental death benefit requirements of section 401(a).
(ii) The determination of the portion of the death benefit that is taken into account in determining the target normal cost and funding target is made under paragraph (c)(1)(ii)(B) of this section to the extent that it is a function of the participant's accrued benefit and under paragraph (c)(1)(ii)(D) of this section to the extent that it relates to the part of the death benefit that is not a function of the participant's accrued benefit.
(iii) The portion of the single-sum death benefit corresponding to the accrued benefit, or $5,960, is taken into account when determining the 2010 funding target for Participant A.
(iv) The excess of the death benefit over Participant A's accrued benefit is $4,040 (that is, $10,000 − $5,960). Because this part of the death benefit is not a function of the participant's accrued benefit nor is it a function of service, the determination of the corresponding portion of the death benefit taken into account in determining the target normal cost and funding target for 2010 is made under paragraph (c)(1)(ii)(D) of this section. For example, for Participant A, the portion of this benefit with respect to the death decrement occurring at age 64 that is taken into account for purposes of determining the funding target for the 2010 plan year is $3,030 ($4,040 × 12 years of past service ÷ 16 years of service at assumed age of death).
(v) The total single-sum death benefit for Participant A with respect to the death decrement at age 64 that is taken into account in determining the funding target for the 2010 plan year is $8,990 ($5,960 + $3,030).
(vi) Similarly, the portion of the single-sum death benefit for Participant A that is taken into account in determining the target normal cost for the 2010 plan year is equal to the sum of the expected increase in the accrued benefit during 2010, and the expected change in the allocable portion of the excess death benefit attributable to service during 2010 as determined in accordance with paragraph (c)(1)(ii)(D) of this section. As described in Example 1, the expected increase in Participant A's accrued benefit during 2010 is $800, to the extent that Participant A is expected to continue in employment for the full 2010 plan year.
(vii) At the end of 2010, Participant A's accrued benefit is expected to be $6,760 ($5,960 + $800). The excess portion of the single-sum death benefit to be allocated in accordance with paragraph (c)(1)(ii)(D) of this section is $3,240 ($10,000 − $6,760), and the allocable portion of the excess benefit for Participant A as of December 31, 2010, with respect to the death decrement at age 64, is $2,632.50 ($3,240 × 13 years of service as of December 31, 2010 ÷ 16 years of service at assumed age of death). The change in the allocable portion of Participant A's excess death benefit due to an additional year of service, with respect to the death decrement at age 64, is a decrease of $397.50. Therefore, the target normal cost for the 2010 plan year attributable to Participant A, with respect to the death decrement at age 64, will reflect a single-sum death benefit of $402.50 ($800 expected increase in Participant A's accrued benefit minus a $397.50 expected decrease in the allocable portion of the death benefit in excess of the accrued benefit).
Example 4.(i) The facts are the same as in Example 3, except that the plan provides a single-sum death benefit equal to the greater of the present value of the qualified pre-retirement survivor annuity or 100 times the amount of the participant's monthly retirement benefit with service projected to normal retirement age. The valuation is based on the assumption that all surviving spouses choose to receive their benefit in the form of a single sum. For Participant A, the value of the qualified pre-retirement survivor annuity is less than 100 times Participant A's projected monthly retirement benefit.
(ii) The allocation of the death benefit that is a function of Participant A's accrued benefit is based on service and compensation to the first day of the plan year for purposes of determining the funding target, and the allocation of the death benefit that is a function of the increase in Participant A's accrued benefit during the plan year for purposes of determining the target normal cost is made in accordance with paragraph (c)(1)(ii)(B) of this section. As described in Example 1, Participant A's accrued benefit based on service and compensation as of January 1, 2010, is $5,960, or $496.67 per month. Accordingly, the portion of the single-sum death benefit corresponding to the accrued benefit, or $49,667 (100 times $496.67), is taken into account when determining the 2010 funding target for Participant A.
(iii) In addition, the funding target and the target normal cost reflect a portion of Participant A's death benefit in excess of the amount based on Participant A's accrued benefit. Based on Participant A's average compensation as of the first day of the plan year, Participant A's accrued benefit with service projected to normal retirement is $8,443 [.01 × 17 years of service at age 65 × ($47,000 + $50,000 + $52,000) ÷ 3], or $703.61 per month. The corresponding death benefit is $70,361.
(iv) The excess of the death benefit over Participant A's accrued benefit as of January 1, 2010, is $20,694 (that is, $70,361 − $49,667). Because this part of the death benefit is not a function of Participant A's accrued benefit or service, the portion that is taken into account in determining the funding target is determined under paragraph (c)(1)(ii)(D) of this section. For Participant A, the portion of this benefit with respect to the death decrement occurring at age 64 that is taken into account when determining the funding target for the 2010 plan year is $15,521 ($20,694 × 12 years of past service ÷ 16 years of service at assumed age of death). The total single-sum death benefit for Participant A with respect to the death decrement at age 64 reflected in the funding target for the 2010 plan year is $65,188 ($49,667 + $15,521).
(v) Similarly, the portion of the single-sum death benefit for Participant A that is taken into account when determining the target normal cost for 2010 is equal to the sum of the death benefit based on the expected increase in the accrued benefit during 2010 and the expected change in the allocable portion of the excess death benefit attributable to service during 2010 as determined in accordance with paragraph (c)(1)(ii)(D) of this section.
(vi) At the end of 2010, Participant A's accrued benefit is expected to be $6,760 ($5,960 + $800), or $563.33 per month, and the associated death benefit is $56,333. The expected increase in the amount of the death benefit attributable to the increase in Participant A's accrued benefit is therefore $6,666 ($56,333 − $49,667).
(vii) Participant A's projected accrued benefit at normal retirement based on average compensation as of the end of 2010 is $8,840 [.01 × 17 years of service at age 65 × ($50,000 + $52,000 + $54,000) ÷ 3], or $736.67 per month. The corresponding death benefit is $73,667. The excess portion of the single-sum death benefit to be allocated in accordance with paragraph (c)(1)(ii)(D) of this section is $17,334 ($73,667 − $56,333), and the allocable portion of the excess benefit for Participant A as of December 31, 2010, with respect to the death decrement at age 64, is $14,084 ($17,334 × 13 years of service as of December 31, 2010 ÷ 16 years of service at assumed age of death).
(viii) The change in the allocable portion of Participant A's excess death benefit during 2010, with respect to the death decrement at age 64, is a decrease of $1,437 ($14,084 − $15,521). Therefore, the target normal cost for the 2010 plan year attributable to Participant A, with respect to the death decrement at age 64, will reflect a single-sum death benefit of $5,229 ($6,666 expected increase in Participant A's death benefit based on the expected increase in the accrued benefit, minus an expected decrease of $1,437 in the amount of the death benefit in excess of the amount attributable to the accrued benefit).
Example 5.(i) The facts are the same as in Example 1. In addition, the plan provides a disability benefit to participants who become disabled after completing 15 years of service. The disability benefit is payable at normal retirement age or an earlier date if elected by a participant. For purposes of calculating the disability benefit, service continues to accrue until normal retirement age (unless recovery or commencement of retirement benefits occurs earlier). Further, compensation is deemed to continue at the same rate as when the disability began.
(ii) Participant A will be eligible for the disability benefit at age 63 after completion of 15 years of service. Participant A's annual disability benefit at normal retirement age is $9,180 (that is, 1% of highest 3-year average compensation of $54,000 multiplied by 17 years of deemed service at normal retirement age).
(iii) The portion of the disability benefit based on the participant's accrued benefit as of the valuation date that is taken into account in determining the target normal cost and funding target is determined in accordance with paragraph (c)(1)(ii)(B) of this section. Accordingly, the portion of the disability benefit corresponding to Participant A's accrued benefit as of January 1, 2010, or $5,960, is taken into account when determining the 2010 funding target.
(iv) The excess of Participant A's disability benefit over the accrued benefit as of January 1, 2010, is $3,220 ($9,180 − $5,960). Because this portion of the disability benefit is not based on Participant A's accrued benefit or service, the portion that is taken into account in determining the funding target is determined under paragraph (c)(1)(ii)(D) of this section. The portion of Participant A's excess disability benefit with respect to the disability decrement occurring at age 63 that is taken into account when determining the 2010 funding target is $2,576 [$3,220 × (12 years of past service ÷ 15 years of service at assumed date of disability)]. The total disability benefit for Participant A, with respect to the disability decrement occurring at age 63, that is taken into account in determining the funding target for the 2010 plan year is $8,536 ($5,960 + $2,576).
(v) The portion of Participant A's disability benefit with respect to the disability decrement occurring at age 64 that is taken into account when determining the 2010 funding target is $8,375 [$5,960 + $3,220 × (12 years of past service ÷ 16 years of service at assumed date of disability)].
(vi) If in fact Participant A becomes disabled at age 63, the funding target will reflect the full disability benefit to which Participant A will be entitled at normal retirement age, based on service projected to normal retirement age (17 years) and final average compensation reflecting compensation projected to normal retirement age at the rate Participant A was earning at the time of disablement.
Example 6.(i) The facts are the same as in Example 5, except that the disability benefit is based on the accrued benefit calculated using service and compensation earned to the date of disability.
(ii) Because the disability benefit is a function of the participant's accrued benefit, the portion of Participant A's disability benefit that is taken into account when determining the funding target for the 2010 plan year is Participant A's annual accrued benefit as of January 1, 2010, or $5,960, as determined in Example 1. This amount is taken into account for both the disability decrement occurring at age 63 and the disability decrement occurring at age 64.
(iii) Similarly, the benefit accrual for Participant A with respect to the disability decrements occurring at age 63 and age 64 that is taken into account when determining the target normal cost for the 2010 plan year is equal to Participant A's expected benefit accrual for 2010 determined in Example 1, or $800.
Example 7.(i) Retiree D, a participant in Plan P, is a male age 72 and is receiving a $100 monthly straight life annuity. The 2009 actuarial valuation is performed using the segment rates applicable for September 2008 (determined without regard to the transition rule of section 430(h)(2)(G)), and the 2009 annuitant and nonannuitant (male and female) mortality tables (published in Notice 2008-85). See § 601.601(d)(2) relating to objectives and standards for publishing regulations, revenue rulings and revenue procedures in the Internal Revenue Bulletin.
(ii) The present value of Retiree D's straight life annuity on the valuation date is $10,535.79. This is equal to the sum of: $5,029.99, which is the present value of payments expected to be made during the first 5 years, using the first segment interest rate of 5.07%; $5,322.26, which is the present value of payments expected to be made during the next 15 years, using the second segment interest rate of 6.09%; and $183.54, which is the present value of payments expected to be made after 20 years, using the third segment interest rate of 6.56%.
Example 8.(i) The facts are the same as in Example 7. Plan P does not provide for early retirement benefits or single-sum distributions. The actuary assumes that no participants terminate employment prior to age 50 (other than by death), there is a 5% probability of withdrawal at age 50, and that those participants who withdraw receive a deferred annuity starting at age 65. Participant E is a male age 46 on January 1, 2009, and has an annual accrued benefit of $23,000 beginning at age 65.
(ii) Before taking into account the 5% probability of withdrawal, the funding target associated with Participant E's assumed age 50 withdrawal benefit in the 2009 actuarial valuation is $68,396.75. This is equal to the sum of: $6,925.29, which is the present value of payments expected to be made during the year the participant turns age 65 (the 20th year after the valuation date), using the second segment interest rate of 6.09%; and $61,471.46, which is the present value of payments expected to be made after the 20th year, using the third segment interest rate of 6.56%.
(iii) Taking the 5% probability of withdrawal into account, the funding target for the 2009 plan year associated with Participant E's assumed age 50 withdrawal benefit is $3,419.84 ($68,396.75 × 5%).
Example 9.(i) The facts are the same as in Example 8, except the plan offers a single-sum distribution payable at normal retirement age (age 65) determined based on the applicable interest rates and the applicable mortality table under section 417(e)(3). The actuary assumes that 70% of the participants will elect a single sum upon retirement and the remaining 30% will elect a straight life annuity.
(ii) Before taking into account the 5% probability of withdrawal or the 70% probability of electing a single-sum payment, the portion of the 2009 funding target that is attributable to Participant E's assumed single-sum payment, deferred to age 65, is $70,052.30. This is calculated in the same manner as the present value of annuity payments, except that, for the period after the annuity starting date, the 2009 applicable mortality rates are substituted for the 2009 male annuitant mortality rates. This portion of the funding target for the 2009 plan year is equal to the sum of: $6,929.00, which is the present value of annuity payments expected to be made between age 65 and 66 (during the 20th year after the valuation date), using the second segment interest rate of 6.09%; and $63,123.30, which is the present value of annuity payments expected to be made after the 20th year following the valuation date, using the third segment interest rate of 6.56%. These present value amounts reflect the 2009 male nonannuitant mortality rates prior to the assumed commencement of benefits at age 65 and the 100% probability of retiring at age 65.
(iii) Taking the 5% probability of withdrawal and the 70% probability of electing a single-sum payment into account, the portion of the 2009 funding target attributable to Participant E's assumed single-sum payment based on withdrawal at age 50 is $2,451.83 ($70,052.30 × 5% × 70%). After taking into account the 5% probability of withdrawal and the 30% probability of electing a straight life annuity, the portion of the 2009 funding target that is attributable to Participant E's assumed straight life annuity (based on assumed withdrawal at age 50), deferred to age 65, is equal to 30% of the result obtained in Example 8.
Example 10.(i) The facts are the same as in Example 9, except the plan offers an immediate single sum upon withdrawal at age 50 determined based on the applicable interest rates and the applicable mortality table under section 417(e)(3). The actuary assumes that 70% of the participants will elect to receive a single-sum distribution upon withdrawal.
(ii) Before taking into account the 5% probability of withdrawal and the 70% probability of electing a single-sum payment, the portion of the funding target for the 2009 plan year that is attributable to Participant E's assumed single-sum payment based on withdrawal at age 50 is $68,908.39. This is calculated in the same manner as the present value of annuity payments, except that the 2009 applicable mortality rates are substituted for the 2009 male annuitant and nonannuitant mortality rates after the annuity starting date. This portion of the 2009 funding target is equal to the sum of $6,815.85, which is the present value of annuity payments expected to be made between age 65 and 66 (during the 20th year after the valuation date), using the second segment interest rate of 6.09%, and $62,092.54, which is the present value of annuity payments expected to be made after the 20th year following the valuation date, using the third segment interest rate of 6.56%. These present value amounts reflect the 2009 male nonannuitant mortality rates prior to the assumed single-sum distribution age of 50.
(iii) Applying the 5% probability of withdrawal at age 50 and the 70% probability of electing a single-sum payment, the portion of the funding target for the 2009 plan year that is attributable to Participant E's assumed single-sum payment (based on withdrawal at age 50) is $2,411.79 ($68,908.39 × 5% × 70%).
Example 11.(i) The facts are the same as in Example 8, except that the plan sponsor elects under section 430(h)(2)(D)(ii) to use the monthly corporate bond yield curve instead of segment rates. The enrolled actuary assumes payments are made monthly throughout the year and uses the interest rate from the middle of the monthly corporate bond yield curve because this mid-year yield rate most closely matches the average timing of benefits paid. In accordance with § 1.430(h)(2)-1(e)(4), the applicable monthly corporate bond yield curve is the yield curve derived from December 2008 rates.
(ii) Before taking into account the 5% probability of withdrawal, the funding target associated with Participant E's assumed age 50 withdrawal benefit in the 2009 actuarial valuation is $67,394.12. This reflects the sum of each year's expected payments, discounted at the yield rates described in paragraph (i) of this Example 11, as shown below:
Age Maturity Yield rate Present value 65 19.5 6.97% $5,897.88 66 20.5 6.90% 5,524.69 67 21.5 6.84% 5,164.63 68 and over Varies Varies 50,806.92 Total 67,394.12 (iii) Applying the 5% probability of withdrawal, the portion of the funding target for the 2009 plan year attributable to Participant E's assumed withdrawal at age 50 is $3,369.71 ($67,394.12 × 5%).
Example 12.(i) The facts are the same as in Example 10, except that the plan determines the amount of the immediate single-sum distribution upon withdrawal at age 50 based on the applicable interest rates under section 417(e)(3) or an interest rate of 6.25%, whichever produces the higher amount. The applicable mortality table under section 417(e)(3) is used for both calculations.
(ii) Before taking into account the 5% probability of withdrawal and the 70% probability of electing a single-sum payment, the present value of Participant E's single-sum distribution as of January 1, 2009, using an interest rate of 6.25%, based on withdrawal at age 50, is $77,391.88. This amount is determined by calculating the projected single-sum distribution at age 50 using the applicable mortality rate under section 417(e)(3) and an interest rate of 6.25%, or $94,789.10, and discounting the result to the January 1, 2009, valuation date using the first segment rate of 5.07% (because the single-sum distribution is assumed to be paid 4 years after the valuation date) and the male non-annuitant mortality rates for 2009.
(iii) Before taking into account the 5% probability of withdrawal and the 70% probability of electing a single-sum payment, the present value as of January 1, 2009, of Participant E's age-50 single-sum distribution using the applicable interest rates and applicable mortality table under section 417(e)(3) is $68,908.39, as developed in Example 10. Corresponding to plan provisions, the present value reflected in the funding target is the larger of this amount or the present value of the amount based on a 6.25% interest rate, or $77,391.88.
(iv) Applying the 5% probability of withdrawal at age 50 and the 70% probability of electing a single-sum payment, the portion of the funding target for the 2009 plan year that is attributable to Participant E's assumed single-sum payment (based on withdrawal at age 50) is $2,708.72 ($77,391.88 × 5% × 70%).
Example 13.(i) Plan Q is a cash balance plan that permits an immediate payment of a single sum equal to the participant's hypothetical account balance upon termination of employment. Plan Q's terms provide that the hypothetical account is credited with interest at a market-related rate, based on a specified index. The January 1, 2009, actuarial valuation is performed using the 24-month average segment rates applicable for September 2008 (determined without regard to the transition rule of section 430(h)(2)(G)). Participant F is a male age 61 on January 1, 2009, and has a hypothetical account balance equal to $150,000 on that date. In the 2009 actuarial valuation, the enrolled actuary assumes that the hypothetical account balances will increase with annual interest credits of 7% until the participant commences receiving his or her benefit, corresponding to the actuary's best estimate of future interest rates credited under the terms of the plan. The actuary also assumes that all participants will retire on the first day of the plan year in which they attain age 65 (that is, no participant will terminate employment prior to age 65 other than by death), and that 100% of participants will elect a single sum upon retirement.
(ii) Participant F's hypothetical account balance projected to January 1, 2013 (the plan year in which F attains age 65) is $196,619.40 based on the assumed annual interest crediting rate of 7%. The funding target for the 2009 plan year attributable to Participant F's benefit at age 65 is $158,525.81, which is calculated by discounting the projected hypothetical account balance of $196,619.40 using the first segment rate of 5.07% and the male non-annuitant mortality rates.
Example 14.(i) The facts are the same as in Example 13, except that the actuary assumes that 10% of the participants will choose to collect their benefits in the form of a straight life annuity. The plan provides that the participant's account balance at retirement is converted to an annuity using the applicable interest rates and applicable mortality table under section 417(e)(3).
(ii) Participant F's hypothetical account balance projected to January 1, 2013 (the plan year in which F attains age 65) is $196,619.40, as outlined in Example 13. This amount is converted to an annuity payable commencing at age 65 by dividing the projected account balance by an annuity factor based on the applicable mortality table for 2009 under section 417(e)(3) (corresponding to the valuation date) and the interest rates used for the valuation. The resulting annuity factor is 10.8321, reflecting one year of interest at the first segment rate (5.07%) corresponding to the first year of the expected annuity payments (the fifth year after the valuation date), 15 years of interest at the second segment rate (6.09%) and all remaining years at the third segment rate (6.56%). The projected future annuity is therefore $196,619.40 divided by 10.8321, or $18,151.55 per year.
(iii) Before taking into account the 10% probability that the participant will elect to take the distribution in the form of a lifetime annuity, the funding target associated with the future annuity payout for Participant F is $149,120.41. This is equal to the sum of $14,242.79, which is the present value of the annuity payment expected to made during the year the participant turns age 65 (the 5th year after the valuation date), using the first segment interest rate of 5.07%; $116,321.72, which is the present value of payments expected to be made during the 6th through the 20th years following the valuation date, using the second segment interest rate of 6.09%; and $18,555.90, which is the present value of payments expected to be made after the 20th year following the valuation date, using the third segment interest rate of 6.56%.
(iv) Applying the 10% probability of electing a lifetime annuity, the portion of the 2009 funding target attributable to Participant F's assumed lifetime annuity payable at age 65 is $14,912.04. The portion of the 2009 funding target attributable to Participant F's assumed single-sum payment is 90% of the result obtained in Example 13.
Example 15.(i) Plan H provides a monthly benefit of $50 times service for all participants. Plan H has a funding target of $1,000,000 and an actuarial value of assets of $810,000 as of January 1, 2010. No annuity contracts have been purchased, and Plan H has no funding standard carryover balance or prefunding balance as of January 1, 2010. The enrolled actuary certifies that the January 1, 2010, AFTAP is 81%. Effective July 1, 2010, Plan H is amended on June 14, 2010, to increase the plan's monthly benefit to $55 for years of service earned on or after July 1, 2010. The present value of the increase in plan benefits during 2010 (reflecting benefit accruals attributable to the six months between July 1, 2010, and December 31, 2010) is $25,000.
(ii) The amendment increases benefits for future service only, and so the funding target is unaffected. Since section 436(c) only restricts plan amendments that increase plan liabilities, the plan amendment can take effect.
(iii) If the $25,000 present value of the increase in plan benefits during 2010 were included in Plan H's funding target of $1,000,000, the total would be $1,025,000, and the AFTAP would be 79.02% (that is, $810,000/$1,025,000). Since this is less than 80%, the amendment would not have been permitted to take effect if the 2010 increase were included in the funding target instead of target normal cost.
(iv) Because the amendment was adopted after the January 1, 2010, valuation date, the plan sponsor would generally have the option of deciding whether to reflect this amendment in the January 1, 2010, valuation or defer recognition of the amendment to the January 1, 2011, valuation. However, under paragraph (d)(2) of this section, because the plan amendment would not have been permitted to take effect under the provisions of section 436 if the increase in the target normal cost for the plan year had been taken into account in the funding target, the actuary must take into account the amendment in the January 1, 2010, valuation for purposes of section 430. Thus, the target normal cost for the plan year includes the $25,000 that results from the plan amendment.