(a) annually an amount computed pursuant to subdivision b of this section, to be known as the "normal contribution"; and
(a-1) all unfunded accrued liability installments as required by section 13-638.2 of this title or any other provision of law; and
(a-2) any other payments to the contingent reserve fund as required by applicable law; and
(b) in equal annual installments during the period beginning with fiscal year nineteen hundred seventy-seven-nineteen hundred seventy-eight and ending on the last day of fiscal year nineteen hundred seventy-nine-nineteen hundred eighty, an additional amount computed pursuant to subdivision c of this section, to be known as the "original unfunded accrued liability contribution"; and
(c) in each city fiscal year during the period beginning with fiscal year nineteen hundred eighty-nineteen hundred eighty-one, and ending on the last day of fiscal year two thousand fourteen-two thousand fifteen, the annual installment, applicable to such fiscal year, of an additional amount computed pursuant to subdivision d of this section, to be known as the "revised unfunded accrued liability contribution"; and
(d) in each city fiscal year during the period beginning with fiscal year nineteen hundred eighty-one-nineteen hundred eighty-two, and ending on the last day of fiscal year two thousand twenty-two thousand twenty-one, the annual installment, applicable to such fiscal year, of an additional amount computed pursuant to subdivision f of this section, to be known as the "balance sheet liability contribution"; and
(e) in fiscal year nineteen hundred eighty-nineteen hundred eighty-one, the amount of one year's interest, at the rate of seven and one-half per centum per annum, on the amount of the balance sheet liability as of June thirtieth, nineteen hundred eighty, as determined pursuant to the provisions of subdivision f of this section; and
(f) in each city fiscal year, beginning with fiscal year nineteen hundred eighty – nineteen hundred eighty-one and ending on the last day of fiscal year nineteen hundred ninety-four – nineteen hundred ninety-five, the amount required to fulfill the city's obligation, if any, which accrued in such fiscal year, to make contributions on account of increased-take-home-pay; and
(g) in each fiscal year, beginning with fiscal year nineteen hundred eighty – nineteen hundred eighty-one and ending on the last day of fiscal year nineteen hundred ninety-four – nineteen hundred ninety-five, the amount required to fulfill the city's obligation, which accrued in such fiscal year under the provisions of subdivision twenty of section two hundred forty-three of the military law, to pay in behalf of contributors qualifying for such benefit, member contributions with respect to certain periods of the military service of such contributors.
(2) (a) Subject to the provisions of subparagraph (d) of this paragraph two, if the nineteen hundred eighty unfunded accrued liability adjustment determined pursuant to subdivision e of this section is a credit, the total of the amounts required to be contributed to the contingent reserve fund by the city in each city fiscal year, commencing with the nineteen hundred eighty-nineteen hundred eighty-one fiscal year and ending with the two thousand nine-two thousand ten fiscal year, pursuant to subparagraphs (a), (c), (d), (e), (f) and (g) of paragraph one of this subdivision a and otherwise pursuant to law shall be reduced by the amount of one annual installment of such nineteen hundred eighty unfunded accrued liability adjustment.
(b) Subject to the provisions of sections 13-528 and 13-529 of this chapter, if the nineteen hundred eighty unfunded accrued liability adjustment determined pursuant to such subdivision e is a charge, the city shall contribute in each city fiscal year, commencing with the nineteen hundred eighty-nineteen hundred eighty-one fiscal year and ending with the two thousand nine-two thousand ten fiscal year, in addition to the amounts required to be contributed under the provisions of subparagraph one of this subdivision a, one annual installment of such nineteen hundred eighty unfunded accrued liability adjustment.
(c) Subject to the provisions of subparagraph (d) of this paragraph two, the total of the amounts required to be contributed to the contingent reserve fund in each city fiscal year commencing with the nineteen hundred eighty-two-nineteen hundred eighty-three fiscal year and ending with the two thousand eleven-two thousand twelve fiscal year pursuant to the applicable provisions of subparagraphs (a), (c), (d), (f) and (g) of paragraph one of this subdivision a and the applicable provisions of subparagraphs (a) and (b) of this paragraph two and otherwise pursuant to law shall be reduced by the amount of one annual installment of the nineteen hundred eighty-two unfunded accrued liability adjustment determined pursuant to paragraph nine of subdivision e of this section.
(c-1) Subject to the provisions of subparagraph (d) of this paragraph two, the total of the amounts required to be contributed to the contingent reserve fund in each city fiscal year commencing with the nineteen hundred eighty-five-nineteen hundred eighty-six fiscal year and ending with the two thousand fourteen-two thousand fifteen fiscal year pursuant to the applicable provisions of subparagraphs (a), (c), (d), (f) and (g) of paragraph one of this subdivision a and the applicable provisions of subparagraphs (a) and (b) of this paragraph two and otherwise pursuant to law shall be reduced by the amount of one annual installment of the nineteen hundred eighty-five unfunded accrued liability adjustment determined pursuant to paragraph ten of subdivision e of this section.
(c-2) Subject to the provisions of subparagraph (d) of this paragraph two, the total of the amounts required to be contributed to the contingent reserve fund in each city fiscal year commencing with the nineteen hundred eighty-six-nineteen hundred eighty-seven fiscal year and ending with the two thousand fifteen-two thousand sixteen fiscal year pursuant to the applicable provisions of subparagraphs (a), (c), (d), (f) and (g) of paragraph one of this subdivision a and the applicable provisions of subparagraphs (a) and (b) of this paragraph two and otherwise pursuant to law shall be reduced by the amount of one annual installment of the nineteen hundred eighty-six unfunded accrued liability adjustment determined pursuant to paragraph eleven of subdivision e of this section.
(d) The installments of the nineteen hundred eighty-two unfunded accrued liability adjustment and the nineteen hundred eighty-five unfunded accrued liability adjustment (determined pursuant to paragraph ten of subdivision e of this section) and the nineteen hundred eighty-six unfunded accrued liability adjustment (determined pursuant to paragraph eleven of such subdivision e), and, if the nineteen hundred eighty unfunded accrued liability adjustment is a credit, the installments of such credit shall be allocated among the city and other obligors required to pay public employer contributions on account of members of the retirement system, such allocation to be made in accordance with the shares of such installments attributable to them pursuant to the provisions of law prescribing their obligations to make or assume responsibility for employer contributions.
(e) For the purpose of effectuating the nineteen hundred eighty-eight unfunded accrued liability adjustment provided for in section 13-638.1 of the code, contributions to the contingent reserve fund on account of charges shall be made by responsible obligors (as defined in paragraph six of subdivision a of such section) or credits shall be allowed to such obligors against contributions otherwise payable by them, as the case may be, to the extent and in the manner provided for in such section. The annual determination of the normal contribution for fiscal years occurring during the period beginning on July first, nineteen hundred eighty-eight and ending on June thirtieth, nineteen hundred ninety-eight shall appropriately take account of the nineteen hundred eighty-eight unfunded accrued liability adjustment in the manner provided for in such section 13-638.1 and the provisions of subdivision b of this section shall be deemed to be conformably modified for such purpose.
(3) (i) Any amount required by the provisions of subparagraphs (c), (d), (e), (f) and (g) of paragraph one of this subdivision a and section 13-704 of this title to be contributed to the contingent reserve fund in the city's nineteen hundred eighty-nineteen hundred eighty-one fiscal year or any subsequent fiscal year shall be payable with interest on such amount at a rate per centum per annum equal to the rate per centum per annum required to be used for the purpose of any actuarial valuation, determination or appraisal made to determine the amount of the normal contribution payable in such fiscal year.
(ii) Any amount required to be contributed to the contingent reserve fund in any fiscal year of the city preceding the nineteen hundred eighty-nineteen hundred eighty-one fiscal year shall be deemed to have been required to be paid with interest on such amount at a rate per centum per annum equal to the rate per centum per annum required to be used for the purpose of any actuarial valuation, determination or appraisal made to determine the amount of the normal contribution payable to the contingent reserve fund in such fiscal year.
(iii) It is hereby declared that the provisions of subparagraphs (i) and (ii) of this paragraph three, in so far as they relate to provisions of this chapter or other laws requiring payment of employer contributions to the retirement system prior to July thirty-first, nineteen hundred eighty-one, express the intent of such provisions of this chapter or other laws requiring such payment.
(iv) The city and all other responsible obligors (as defined in paragraph ten of subdivision a of section 13-638.2 of this title) shall make all payments to the retirement system required by applicable law in accordance with the time of payment requirements set forth in subdivision (c) of section 13-533 of this chapter. Any responsible obligor which does not make all or any portion of such required payments to the retirement system in a timely manner in fiscal year two thousand twelve – two thousand thirteen, or in any fiscal year thereafter, shall be required to pay interest to the retirement system on such overdue amounts, as determined by the actuary. The actuary shall determine, at such time as he or she deems appropriate, interest payments on such overdue amounts using a rate of interest equivalent to the valuation rate of interest (as defined in paragraph eleven of subdivision a of section 13-638.2 of this title). Responsible obligors shall make such interest payments on overdue amounts to the retirement system in the manner and at such time as the actuary deems appropriate.
b. Normal contribution.
(1) Notwithstanding the succeeding provisions of this paragraph or the provisions of paragraph one-a, two, three or four of this subdivision, for fiscal year two thousand eleven – two thousand twelve, and for each fiscal year thereafter, the amount of the normal contribution payable to the contingent reserve fund shall be determined pursuant to the provisions of paragraph five of this subdivision. Upon the basis of the latest mortality and other tables herein authorized and regular interest, the actuary shall determine as of June thirtieth, nineteen hundred eighty and as of each succeeding June thirtieth, the amount of the total liability for all benefits provided in this chapter, in articles eleven and fourteen of the retirement and social security law and in any other law prescribing benefits payable by the retirement system on account of all contributors and beneficiaries, excluding the liability on account of future increased-take-home-pay contributions, if any, and the liability for benefits attributable to the annuity savings fund and to the variable annuity savings fund, provided, however, that in determining such total liability as of June thirtieth, nineteen hundred ninety-five and as of each succeeding June thirtieth, the actuary shall include (a) the liability on account of future reserve-for-increased-take-home-pay contributions, if any, (b) the liability on account of future city obligations under the provisions of subdivision twenty of section two hundred forty-three of the military law, to pay in behalf of contributors qualifying for such benefit, member contributions with respect to certain periods of the military service of such contributors, and (c) the liability for benefits attributable to the annuity savings fund and to the variable annuity savings fund, and provided further that in determining such total liability as of June thirtieth, nineteen hundred ninety-nine and as of each succeeding June thirtieth, the actuary shall include any other liability, as determined by the actuary, for benefits attributable to the variable annuity programs, and provided further that in determining such total liability as of June thirtieth, two thousand and as of each succeeding June thirtieth, the actuary shall include the amount, if any, as estimated by the actuary, of the total liability of the retirement system on account of payments which the retirement system may be required to make to any other fund without a corresponding offset in the liabilities of the retirement system.
(1-a) Notwithstanding any other provision of law to the contrary, for the purpose of calculating the amount of the normal contribution due from the city to the contingent reserve fund pursuant to paragraph four of this subdivision in fiscal year two thousand five-two thousand six, and in each fiscal year thereafter, both the total liability of the retirement system, as calculated by the actuary in accordance with paragraph one of this subdivision, and the normal rate of contribution, as calculated by the actuary in accordance with paragraphs two and three of this subdivision, shall be determined as of June thirtieth of the second fiscal year preceding the fiscal year in which the normal contribution is payable, provided, however, that (a) the actuary shall use for such calculations the mortality and other tables that are applicable at the time he or she performs such calculations; (b) the total funds on hand, as determined by the actuary pursuant to item (v) of subparagraph (a) of paragraph two of this subdivision, shall be adjusted by adding to such amount the present value of all employer contributions required to be paid into the contingent reserve fund in the fiscal year next preceding the fiscal year in which the normal contribution is payable, as determined by the actuary; and (c) the present value of the prospective future salaries of all members, as computed by the actuary for the purposes of subparagraph (c) of paragraph two of this subdivision, shall be reduced by the present value of the salaries expected to be paid to all members in the fiscal year next preceding the fiscal year in which the normal contribution is payable, as determined by the actuary.
(2) The normal rate of contribution shall be the rate per centum obtained:
(a) by adding together:
(i) (1) the amount obtained by adding together the present value of all required future revised unfunded accrued liability contributions and the present value of all required future payments of the nineteen hundred eighty unfunded accrued liability adjustment, determined pursuant to subdivision e of this section, if such adjustment is a charge; or
(2) the remainder obtained by subtracting from the present value of all required future revised unfunded accrued liability contributions, the present value of all future installments of the nineteen hundred eighty unfunded accrued liability adjustment required to be credited, if such nineteen hundred eighty adjustment is a credit; and
(3) minus (whether (1) or (2) of this item (i) is applicable) the sum of the present value of all future installments of the nineteen hundred eighty-two unfunded accrued liability adjustment and the present value of all future installments of the nineteen hundred eighty-five unfunded accrued liability adjustment and (with respect to calculation of the normal contribution for fiscal years succeeding June thirtieth, nineteen hundred eighty-six) the present value of all future installments of the nineteen hundred eighty-six unfunded accrued liability adjustment; and
(ii) the present value of all required future balance sheet liability contributions, plus, in the case of the determination of the normal contribution payable in fiscal year nineteen hundred eighty-nineteen hundred eighty-one, the present value, as of June thirtieth, nineteen hundred eighty, of the payment of interest on the balance sheet liability as required by subparagraph (e) of paragraph one of subdivision a of this section; and
(iii) the present value of all required future payments, pursuant to section 13-704 of this title, of installments of losses in excess of installments of gains on dispositions of securities within the meaning of such section; and
(iv) in the case of the determination of the normal contribution payable in each fiscal year commencing with fiscal year nineteen hundred ninety-five – nineteen hundred ninety-six, the present value of future member contributions of all contributors; and
(v) the total funds on hand, excluding the amount in pension reserve fund number two, but including the amount of any unpaid moneys appropriated pursuant to section 13-533 of this chapter and, in the case of the determination of the normal contribution payable in each fiscal year commencing with fiscal year nineteen hundred ninety-five – nineteen hundred ninety-six, including the amount in the annuity savings fund and in the variable annuity savings fund; and
(vi) the present value of all other future installments of accrued liability contributions to the retirement system required by the applicable provisions of section 13-638.2 of this title which are not covered by the preceding items of this subparagraph (a); and
(b) by subtracting from the amount of the total liability determined pursuant to paragraph one of this subdivision b the sum resulting from the addition prescribed by subparagraph (a) of this paragraph two; and
(c) by dividing the remainder resulting from the applicable subtraction prescribed by subparagraph (b) of this paragraph two by one per centum of the present value of the prospective future salaries of all contributors, as computed by the actuary on the basis of the latest mortality and service tables adopted pursuant to section 13-514 of this chapter, and on the basis of regular interest.
(3) The normal rate of contribution determined by the actuary shall not be less than zero, shall be certified by the actuary after each valuation and shall continue in force until the next succeeding valuation and certification.
(4) (a) The amount of the normal contribution due from the city to the contingent reserve fund in each city fiscal year, commencing with the nineteen hundred eighty-nineteen hundred eighty-one fiscal year and ending with the two thousand four-two thousand five fiscal year, shall be the amount obtained by multiplying the normal rate of contribution, as determined by the actuary as of June thirtieth next preceding such fiscal year, by the aggregate annual salaries of the members on such June thirtieth next preceding such fiscal year in which such amount is due and shall be payable in such fiscal year next following such June thirtieth, together with such regular interest thereon which may be due, if any, as calculated by the actuary.
(b) The amount of the normal contribution due from the city to the contingent reserve fund in each city fiscal year, commencing with the two thousand five-two thousand six fiscal year, shall be the amount obtained by multiplying the normal rate of contribution, as determined by the actuary as of the second June thirtieth preceding the fiscal year in which the normal contribution is payable, in accordance with the provisions of paragraphs one-a, two and three of this subdivision, by the aggregate amount of the salaries expected to be paid to the members during the fiscal year in which the normal contribution is payable, as determined by the actuary, and such normal contribution shall be payable in the second fiscal year following the June thirtieth as of which the normal rate of contribution is determined, together with such regular interest thereon which may be due, if any, as calculated by the actuary.
(c) In the case of the normal contribution payable in the nineteen hundred eighty-nineteen hundred eighty-one fiscal year and in any subsequent fiscal year, the term "regular interest" as used in this paragraph four shall mean regular interest as defined by the applicable provisions of subparagraph (ii) or subparagraph (iii) of paragraph (c) or paragraph (d) of subdivision twenty-two of section 13-501 of this chapter.
(5) (a) Notwithstanding the preceding paragraphs of this subdivision or any other provision of law to the contrary, the normal contribution payable to the contingent reserve fund in fiscal year two thousand eleven – two thousand twelve, and in each fiscal year thereafter, shall be the entry age normal contribution, as determined by the actuary pursuant to this paragraph in a manner consistent with the entry age actuarial cost method. The actuary shall determine the entry age normal contribution for each such fiscal year as of June thirtieth of the second fiscal year preceding the fiscal year in which such normal contribution is payable, based on the latest mortality and other tables applicable at the time he or she performs such calculations, and the valuation rate of interest as provided for the retirement system in paragraph two of subdivision b of section 13-638.2 of this title.
(b) In calculating the entry age normal contribution payable in any such fiscal year pursuant to this paragraph, the actuary, in his or her discretion, may make certain adjustments in the calculation methodology, provided that such adjustments are generally accepted as consistent with the entry age actuarial cost method, and are designed, in general, to fund, on a level basis over the working lifetimes of members from their ages at entry, the actuarial present value of benefits to which such members are expected to become entitled, as determined by the actuary. Such generally accepted adjustments in the calculation methodology, in the discretion of the actuary, may include, but are not limited to, the calculation of the entry age normal contribution (i) on an individual member basis by calculating the amount of the entry age normal contribution attributable to each individual member, and then adding together such individual member amounts, (ii) on an aggregate basis for all members or (iii) on any combination of an individual member basis and an aggregate basis which is consistent with the entry age actuarial cost method, and the preceding provisions of this subparagraph.
(c) For each such fiscal year, the actuary, in his or her discretion, shall determine, in accordance with the provisions of subparagraph (b) of this paragraph, the methodology for calculating the entry age normal contribution payable for that particular fiscal year.
(d) The methodology determined by the actuary in accordance with subparagraph (c) of this paragraph may provide for the actuary to calculate the entry age normal contribution on an individual member basis by (i) multiplying the entry age normal contribution rate for each individual member, as determined by the actuary, by the salary expected to be paid to that member during the fiscal year in which such normal contribution is payable, and (ii) calculating the sum of the individual entry age normal contributions attributable to all such members. The actuary, in his or her discretion, may make any adjustments to such methodology for determining the entry age normal contribution on an individual basis which he or she deems appropriate, and which are consistent with the provisions of subparagraph (b) of this paragraph.
(e) In the alternative, the methodology determined by the actuary in accordance with subparagraph (c) of this paragraph may provide for the actuary to calculate the entry age normal contribution on an aggregate basis by multiplying the entry age normal contribution rate for all members in the aggregate, as determined by the actuary, by the aggregate amount of the salaries expected to be paid to all members during the fiscal year in which the normal contribution is payable. The actuary, in his or her discretion, may make any adjustments to such methodology for determining the entry age normal contribution on an aggregate basis which he or she deems appropriate, and which are consistent with the provisions of subparagraph (b) of this paragraph.
(f) In the alternative, the methodology determined by the actuary in accordance with subparagraph (c) of this paragraph may provide for the calculation of the entry age normal contribution on any other basis which the actuary deems appropriate, and which is consistent with the entry age actuarial cost method and the provisions of subparagraph (b) of this paragraph.
(g) (i) Where the methodology determined by the actuary in accordance with subparagraph (c) of this paragraph requires the determination of an entry age normal contribution rate for each individual member in order to calculate the entry age normal contribution for each individual member, the actuary shall determine such rate for each such member in accordance with the entry age actuarial cost method, and such rate, as determined by the actuary for each such member, shall be consistent with a method designed, in general, to fund, on a level basis over the working lifetime of that particular member from his or her age at entry, the actuarial present value of benefits to which such member is expected to become entitled, as determined by the actuary.
(ii) Where the methodology determined by the actuary in accordance with subparagraph (c) of this paragraph requires the determination of an entry age normal contribution rate for all members in the aggregate in order to calculate the entry age normal contribution for all members in the aggregate, the actuary shall determine such rate in accordance with the entry age actuarial cost method, and such rate, as determined by the actuary, shall be consistent with a method designed, in general, to fund, on a level basis over the working lifetimes of members from their ages at entry, the actuarial present value of benefits to which such members are expected to become entitled, as determined by the actuary.
c. Unfunded accrued liability contributions. The original unfunded accrued liability contribution shall be an amount which, if paid to the contingent reserve fund in forty equal annual installments, commencing with payment of a first installment in the city's nineteen hundred seventy-seven-nineteen hundred seventy-eight fiscal year, would be the actuarial equivalent, on the basis of five and one-half percentum interest and the actuarial tables in effect as of July first, nineteen hundred seventy-seven, of the difference between (1) the accrued liability (excluding the liability for benefits attributable to the annuity savings fund and the variable annuity savings fund and to pension reserve fund number two), on June thirtieth, nineteen hundred seventy-five and (2) the total funds on hand, excluding the amount in the annuity savings fund and variable annuity savings fund and in pension reserve fund number two, but including the amount of any unpaid moneys appropriated pursuant to section 13-533 of this chapter.
d. (1) The revised unfunded accrued liability contribution shall be an amount determined as prescribed in paragraphs two, three, four, five, six and seven of this subdivision d.
(2) To the amount of the difference constituting the unfunded accrued liability as of June thirtieth, nineteen hundred seventy-five heretofore determined pursuant to the provisions of subdivision c of this section as in effect on July first, nineteen hundred seventy-seven, there shall be added interest thereon at the rate of five and one-half per centum per annum for the period from July first, nineteen hundred seventy-five to June thirtieth, nineteen hundred eighty.
(3) (a) There shall be computed, in the manner provided in subparagraph (b) of this paragraph three, the discounted value of each of the installments of the unfunded accrued liability contribution which, in the absence of the enactment of chapter nine hundred fifty-seven of the laws of nineteen hundred eighty-one, were payable or would have been payable in the city's nineteen hundred seventy-seven-nineteen hundred seventy-eight, nineteen hundred seventy-eight-nineteen hundred seventy-nine, nineteen hundred seventy-nine-nineteen hundred eighty, nineteen hundred eighty-nineteen hundred eighty-one and nineteen hundred eighty-one-nineteen hundred eighty-two fiscal year.
(b) Such discounted value of each such installment shall be computed as of January first of the city's second fiscal year preceding the fiscal year in which such installment was payable or would have been payable and on the basis of five and one-half per centum interest per annum on the amount of such installment.
(c) There shall be added to such discounted value of each such installment, interest thereon from January first of such second fiscal year preceding the fiscal year in which such installment was or would have been payable to June thirtieth, nineteen hundred eighty at the rate of five and one-half per centum per annum.
(d) The discounted values of all of such installments with respect to such fiscal years, computed as provided for in subparagraphs (a) and (b) of this paragraph three, together with interest on each such installment as provided for in subparagraph (c) of this paragraph, shall be added together.
(4) From the sum computed pursuant to paragraph two of this subdivision d, the sum computed pursuant to paragraph three of this subdivision shall be subtracted.
(5) With respect to each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty and ending on June thirtieth, nineteen hundred eighty-two, the revised unfunded accrued liability contribution shall be the annual installment, applicable to such fiscal year, of an amount which, if paid to the contingent reserve fund in thirty-five equal annual installments, commencing with payment of a first installment in the city's nineteen hundred eighty-nineteen hundred eighty-one fiscal year, would be the actuarial equivalent, on the basis of seven and one-half per centum interest per annum, of the remainder computed pursuant to paragraph four of this subdivision.
(6) With respect to each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-two and ending on June thirtieth, nineteen hundred eighty-eight, the revised unfunded accrued liability contribution shall be the annual installment, applicable to such fiscal year, of an amount which, if paid to the contingent reserve fund in thirty-three equal annual installments, commencing with payment of a first installment in the city's nineteen hundred eighty-two-nineteen hundred eighty-three fiscal year, would be the actuarial equivalent, on the basis of eight per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-two on the basis of seven and one-half per centum interest per annum, of the installments of the revised unfunded accrued liability contribution computed pursuant to paragraph five of this subdivision, which installments are hypothetically allocated by such paragraph five to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-two.
(7) With respect to each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-eight and ending June thirtieth, two thousand fifteen, the revised unfunded accrued liability contribution shall be the annual installment, applicable to such fiscal year, of an amount which, when paid to the contingent reserve fund in twenty-seven equal annual installments, commencing with payment of a first installment in the city's nineteen hundred eighty-eight-nineteen hundred eighty-nine fiscal year, shall be the actuarial equivalent, on the basis of eight and one-quarter per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-eight on the basis of eight per centum interest per annum, of the installments of the revised unfunded accrued liability contribution computed pursuant to paragraph six of this subdivision, which installments are hypothetically allocated by such paragraph six to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-eight.
e. (1) The nineteen hundred eighty unfunded accrued liability adjustment shall be an amount determined as prescribed in paragraphs two, three, four, five, six and seven of this subdivision e.
(2) (a) Upon the basis of the actuarial tables in effect as of June thirtieth, nineteen hundred eighty for valuation purposes and interest at the rate of seven and one-half per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty, the amount of the total liability for all benefits provided in this chapter, in articles eleven and fourteen of the retirement and social security law and in any other law prescribing benefits payable by the retirement system on account of all contributors and beneficiaries, excluding the liability on account of future increased-take-home-pay contributions, if any, the liability for benefits attributable to the annuity savings fund and to the variable annuity savings fund and the liability attributable to pension reserve fund number two.
(b) From such total liability computed pursuant to subparagraph (a) of this paragraph two, there shall be subtracted the sum of:
(i) the present value, as of June thirtieth, nineteen hundred eighty, of all future normal costs of the retirement system, computed pursuant to the entry age normal cost method of determining such normal costs; and
(ii) the present value, as of such June thirtieth, of all future installments of the balance sheet liability contribution (as defined in subdivision f of this section); and
(iii) the present value, as of such June thirtieth, of all then required future payments, pursuant to section 13-704 of this title, of installments of losses in excess of installments of gains on dispositions of securities within the meaning of such section; and
(iv) the present value, as of such June thirtieth, of future member contributions of contributors subject to article fourteen of the retirement and social security law; and
(v) the total funds on hand as of such June thirtieth, excluding the amount in the annuity savings fund and in the variable annuity savings fund and in pension reserve fund number two, but including the amount of any unpaid moneys appropriated pursuant to section 13-533 of this chapter.
(3) (a) If the amount computed pursuant to paragraph two of this subdivision e is larger than the amount computed pursuant to paragraph four of subdivision d of this section, the latter amount shall be subtracted from the former amount and the remainder resulting from such subtraction shall constitute a charge.
(b) If the amount computed pursuant to paragraph two of this subdivision is smaller than the amount computed pursuant to paragraph four of subdivision d of this section, the former amount shall be subtracted from the latter amount and the remainder resulting from such subtraction shall constitute a credit.
(4) (a) If the remainder computed pursuant to paragraph three of this subdivision e is a charge, the nineteen hundred eighty unfunded accrued liability adjustment shall be an amount which, if paid to the contingent reserve fund in thirty equal annual installments, commencing with payment of a first installment in the city's nineteen hundred eighty-nineteen hundred eighty-one fiscal year, shall be the actuarial equivalent, on the basis of seven and one-half per centum interest per annum, of such remainder.
(b) If the remainder computed pursuant to paragraph three of this subdivision is a credit, the nineteen hundred eighty unfunded accrued liability adjustment shall be an amount which, if credited in thirty equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-nineteen hundred eighty-one fiscal year) in reduction of the amount which the city (and other obligors required to make public employer contributions on account of contributors to the retirement system) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (e), (f) and (g) of paragraph one of subdivision a of this section, would be the actuarial equivalent, on the basis of seven and one-half per centum interest per annum, of such remainder.
(5) If the nineteen hundred eighty unfunded accrued liability adjustment is a credit, the installments of such credit shall be allocated among the city and such other obligors in accordance with the shares thereof attributable to them pursuant to the provisions of law prescribing their obligations to make or assume responsibility for employer contributions.
(6) With respect to determination of the amount of contributions payable to the contingent reserve fund in each of the city's nineteen hundred eighty-nineteen hundred eighty-one and nineteen hundred eighty-one-nineteen hundred eighty-two fiscal years, the annual installment of the nineteen hundred eighty unfunded accrued liability adjustment computed pursuant to paragraph four of this subdivision e, which installment is applicable to such fiscal year, shall be applied as a charge or a credit, as the case may be, in relation to such contributions payable in such fiscal year.
(7) (a) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-two and ending on June thirtieth, nineteen hundred eighty-eight, the nineteen hundred eighty unfunded accrued liability adjustment shall be an amount which, if paid (if a charge) or credited (if a credit) in twenty-eight equal annual installments, commencing with a payment or credit, as the case may be, in the city's nineteen hundred eighty-two-nineteen hundred eighty-three fiscal year, would be the actuarial equivalent, on the basis of eight per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-two on the basis of seven and one-half per centum interest per annum, of the installments of the nineteen hundred eighty unfunded accrued liability adjustment computed pursuant to paragraph four of this subdivision e, which installments are hypothetically allocated by such paragraph four to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-two.
(b) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-eight and ending on June thirtieth, two thousand ten, the nineteen hundred eighty unfunded accrued liability adjustment shall be an amount which, when paid (if a charge) or credited (if a credit) in twenty-two equal annual installments, commencing with a payment or credit, as the case may be, in the city's nineteen hundred eighty-eight-nineteen hundred eighty-nine fiscal year, shall be the actuarial equivalent, on the basis of eight and one-quarter per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-eight on the basis of eight per centum interest per annum, of those installments of the nineteen hundred eighty unfunded accrued liability adjustment computed pursuant to subparagraph (a) of this paragraph seven, which installments are hypothetically allocated by such subparagraph (a) to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-eight.
(8) With respect to determination of the amount of contributions payable to the contingent reserve fund in each of such city fiscal years referred to in paragraph seven of this subdivision e, the annual installment of the nineteen hundred eighty unfunded accrued liability adjustment computed pursuant to such paragraph seven, which installment is applicable to such fiscal year, shall be applied as a charge or credit, as the case may be, in relation to such contributions payable in such fiscal year.
(9) (a) The nineteen hundred eighty-two unfunded accrued liability adjustment shall be an amount determined as prescribed in subparagraphs (b), (c), (d) and (e) of this paragraph nine.
(b) Upon the basis of the actuarial tables in effect as of June thirtieth, nineteen hundred eighty-one for valuation purposes and interest at the rate of seven and one-half per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty-two, the amount of the actuarial accrued liability of the retirement system, computed pursuant to the entry age normal cost method of ascertaining such actuarial accrued liability.
(c) Upon the basis of the actuarial tables in effect as of June thirtieth, nineteen hundred eighty-two for valuation purposes and interest at the rate of eight per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty-two, the amount of the actuarial accrued liability of the retirement system, computed pursuant to the entry age normal cost method of ascertaining such actuarial accrued liability.
(d) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-two and ending on June thirtieth, nineteen hundred eighty-eight, the nineteen hundred eighty-two unfunded accrued liability adjustment shall be an amount which, if credited in thirty equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-two-nineteen hundred eighty-three fiscal year) in reduction of the amounts which the city (and other obligors required to pay public employer contribution on account of members) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (f) and (g) of paragraph one of subdivision a of this section or otherwise pursuant to law, would be the actuarial equivalent, on the basis of eight per centum interest per annum, of the excess of the amount computed pursuant to subparagraph (b) of this paragraph nine over the amount computed pursuant to subparagraph (c) of this paragraph.
(e) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-eight and ending on June thirtieth, two thousand twelve, the nineteen hundred eighty-two unfunded accrued liability adjustment shall be an amount which, when credited in twenty-four equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-eight-nineteen hundred eighty-nine fiscal year) in reduction of the amounts which the city (and other obligors required to pay public employer contribution on account of members) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (f) and (g) of paragraph one of subdivision a of this section or otherwise pursuant to law, shall be the actuarial equivalent, on the basis of eight and one-quarter per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-eight on the basis of eight per centum interest per annum, of those installments of the nineteen hundred eighty-two unfunded accrued liability adjustment computed pursuant to subparagraph (d) of this paragraph nine, which installments are hypothetically allocated by such subparagraph (d) to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-eight.
(10) (a) The nineteen hundred eighty-five unfunded accrued liability adjustment shall be an amount determined as prescribed in subparagraphs (b), (c), (d) and (e) of this paragraph ten.
(b) Upon the basis of the actuarial tables in effect for valuation purposes with respect to determination of the normal contribution payable to the contingent reserve fund in the city's nineteen hundred eighty-four-nineteen hundred eighty-five fiscal year and interest at the rate of eight per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty-five, the amount of the actuarial accrued liability of the retirement system, computed pursuant to the entry age normal cost method of ascertaining such actuarial accrued liability.
(c) Upon the basis of the actuarial tables in effect for valuation purposes with respect to determination of the normal contribution payable to the contingent reserve fund in the city's nineteen hundred eighty-five-nineteen hundred eighty-six fiscal year and interest at the rate of eight per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty-five, the amount of the actuarial accrued liability of the retirement system, computed pursuant to the entry age normal cost method of ascertaining such actuarial accrued liability.
(d) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-five and ending on June thirtieth, nineteen hundred eighty-eight, the nineteen hundred eighty-five unfunded accrued liability adjustment shall be an amount which, if credited in thirty equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-five-nineteen hundred eighty-six fiscal year) in reduction of the amounts which the city (and other obligors required to pay public employer contributions on account of members) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (f) and (g) of paragraph one of subdivision a of this section or otherwise pursuant to law, would be the actuarial equivalent, on the basis of eight per centum interest per annum, of the excess of the amount computed pursuant to subparagraph (b) of this paragraph ten over the amount computed pursuant to subparagraph (b) of this paragraph ten over the amount computed pursuant to subparagraph (c) of this paragraph.
(e) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-eight and ending on June thirtieth, two thousand fifteen, the nineteen hundred eighty-five unfunded accrued liability adjustment shall be an amount which, when credited in twenty-seven equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-eight-nineteen hundred eighty-nine fiscal year) in reduction of the amounts which the city (and other obligors required to pay public employer contributions on account of members) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (f) and (g) of paragraph one of subdivision a of this section or otherwise pursuant to law, shall be the actuarial equivalent, on the basis of eight and one-quarter per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-eight on the basis of eight per centum interest per annum, of those installments of the nineteen hundred eighty-five unfunded accrued liability adjustment computed pursuant to subparagraph (d) of this paragraph ten, which installments are hypothetically allocated by such subparagraph (d) to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-eight.
(11) (a) The nineteen hundred eighty-six unfunded accrued liability adjustment shall be an amount determined as prescribed in subparagraphs (b), (c), (d) and (e) of this paragraph eleven.
(b) Upon the basis of the actuarial tables in effect for valuation purposes with respect to determination of the normal contribution payable to the contingent reserve fund in the city's nineteen hundred eighty-five-nineteen hundred eighty-six fiscal year and interest at the rate of eight per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty-six, the amount of the actuarial accrued liability of the retirement system, computed pursuant to the entry age normal cost method of ascertaining such actuarial accrued liability.
(c) Upon the basis of the actuarial tables in effect for valuation purposes with respect to determination of the normal contribution payable to the contingent reserve fund in the city's nineteen hundred eighty-six-nineteen hundred eighty-seven fiscal year and interest at the rate of eight per centum per annum, there shall be determined, as of June thirtieth, nineteen hundred eighty-six, the amount of the actuarial accrued liability of the retirement system, computed pursuant to the entry age normal cost method of ascertaining such actuarial accrued liability.
(d) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-six and ending on June thirtieth, nineteen hundred eighty-eight, the nineteen hundred eighty-six unfunded accrued liability adjustment shall be an amount which, if credited in thirty equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-six-nineteen hundred eighty-seven fiscal year) in reduction of the amounts which the city (and other obligors required to pay public employer contributions on account of members) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (f) and (g) of paragraph one of subdivision a of this section or otherwise pursuant to law, would be the actuarial equivalent, on the basis of eight per centum interest per annum, of the excess of the amount computed pursuant to subparagraph (b) of this paragraph eleven over the amount computed pursuant to subparagraph (c) of this paragraph.
(e) With respect to determination of the amount of contributions payable to the contingent reserve fund in each city fiscal year occurring during the period beginning on July first, nineteen hundred eighty-eight and ending on June thirtieth, two thousand sixteen, the nineteen hundred eighty-six unfunded accrued liability adjustment shall be an amount which, when credited in twenty-eight equal annual installments (the first of which installments is to be credited in the city's nineteen hundred eighty-eight-nineteen hundred eighty-nine fiscal year) in reduction of the amounts which the city (and other obligors required to pay public employer contributions on account of members) would otherwise be required to pay to the contingent reserve fund pursuant to subparagraphs (a), (c), (d), (f) and (g) of paragraph one of subdivision a of this section or otherwise pursuant to law, shall be the actuarial equivalent, on the basis of eight and one-quarter per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-eight on the basis of eight per centum interest per annum, of those installments of the nineteen hundred eighty-six unfunded accrued liability adjustment computed pursuant to subparagraph (d) of this paragraph eleven, which installments are hypothetically allocated by such subparagraph (d) to designated fiscal years succeeding June thirtieth, nineteen hundred eighty-eight.
f. (1) As used in this section, the following words and phrases, unless a different meaning is plainly required by the context, shall have the following meanings:
(a) (i) "Normal contribution for balance sheet liability purposes". The hypothetical amount which the normal contribution payable in each city fiscal year occurring during the period beginning on July first, nineteen hundred seventy-four and ending on June thirtieth, nineteen hundred eighty would have equalled if such normal contribution had been required by law to be paid to the contingent reserve fund in the city fiscal year in which the obligation to make such normal contribution accrued and such normal contribution had been required by law to be determined in the manner provided for in items (ii), (iii) and (iv) of this subparagraph (a).
(ii) Upon the basis of the mortality and other tables effective under this chapter as of July first, nineteen hundred seventy-seven and interest at the rate of five and one-half per centum per annum, the actuary shall determine, as of June thirtieth next preceding each such fiscal year for which such normal contribution is being determined (hereinafter referred to as the "subject fiscal year") the amount of the then total liability for all benefits provided in this chapter, in articles eleven and fourteen of the retirement and social security law and in any other law prescribing benefits payable by the retirement system on account of all then contributors and beneficiaries, excluding the then liability on account of future annual contributions, for balance sheet liability purposes, on account of reserves-for-increased-take-home-pay (as defined in subparagraph (d) of this paragraph one) if any, and the then liability for benefits attributable to the annuity savings fund and the variable annuity savings fund.
(iii) The hypothetical normal rate of contribution with respect to the subject fiscal year shall be the rate per centum obtained:
(A) by adding together:
(1) the present value of all then required future unfunded accrued liability contributions for balance sheet liability purposes (as defined in subparagraph (b) of this paragraph one); and
(2) the present value of all then required future annual contributions, for balance sheet liability purposes, on account of amortization of losses on dispositions of securities within the meaning of section 13-704 of this title (as defined in subparagraph (c) of this paragraph one); and
(3) the present value of future member contributions of contributors subject to article fourteen of the retirement and social security law; and
(4) the amount obtained by adding together the total funds on hand (excluding therefrom the then amount in the annuity savings fund and in the variable annuity savings fund and in pension reserve fund number two) and balance sheet liability as of such June thirtieth next preceding the subject fiscal year; and
(B) by subtracting from the amount of the total liability determined pursuant to item (ii) of this subparagraph (a) the sum resulting from the addition prescribed by sub-item (A) of this item (iii); and
(C) by dividing the remainder resulting from the applicable subtraction prescribed by sub-item (B) of this item (iii) by one per centum of the present value of the prospective future salaries of all contributors, as computed on the basis of the mortality and service tables adopted pursuant to section 13-514 of this chapter and in effect on July first, nineteen hundred seventy-seven and on the basis of interest at the rate of five and one-half per centum per annum.
(iv) The amount of the normal contribution for balance sheet liability purposes hypothetically payable in the subject fiscal year shall be the amount obtained (1) by multiplying such hypothetical normal contribution rate computed with respect to the subject fiscal year by the aggregate annual salaries of the members as of June thirtieth of the subject fiscal year and (2) by adding to the product of such multiplication, interest on such product at the rate of five and one-half per centum per annum for a period of six months.
(b) "Unfunded accrued liability contribution for balance sheet liability purposes".
(i) With respect to the city's nineteen hundred seventy-four-nineteen hundred seventy-five fiscal year, such term shall mean a hypothetical amount which, if paid to the contingent reserve fund in forty equal annual installments, beginning with payment of a first installment in the city's nineteen hundred seventy-four-nineteen hundred seventy-five fiscal year, would be the actuarial equivalent, on the basis of interest at the rate of five and one-half per centum per annum, of the remainder computed in the manner prescribed by items (ii) and (iii) of this subparagraph (b).
(ii) Upon the basis of the actuarial tables in effect as of July first, nineteen hundred seventy-seven for valuation purposes and interest at the rate of five and one-half per centum per annum, there shall be computed, as of June thirtieth, nineteen hundred seventy-four, the amount of the total liability for all benefits provided by this chapter, in article eleven of the retirement and social security law and in any other law prescribing benefits payable by retirement system on account of all contributors and beneficiaries, excluding the liability on account of future increased-take-home-pay contributions and the liability for benefits attributable to the annuity savings fund and the variable annuity savings fund.
(iii) From such total liability computed pursuant to item (ii) of this subparagraph (b) there shall be subtracted the sum of:
(A) the present value, as of June thirtieth, nineteen hundred seventy-four, of all future normal costs of the retirement system, computed pursuant to the entry age normal cost method of determining such normal costs; and
(B) the present value, as of such June thirtieth, of all then required future payments, pursuant to section 13-704 of this title (as then in effect), of installments of losses in excess of installments of gains on dispositions of securities within the meaning of such section; and
(C) the sum obtained by adding together the balance sheet liability as of such June thirtieth (as such liability is determined pursuant to the provisions of paragraph two of this subdivision f) and the total funds on hand as of such June thirtieth, excluding the amount in the annuity savings fund and the variable annuity savings fund, but including the amount of any unpaid moneys appropriated pursuant to section 13-533 of this chapter.
(iv) With respect to each of the city's fiscal years occurring during the period from July first, nineteen hundred seventy-five to June thirtieth, nineteen hundred eighty, such term shall mean a hypothetical amount which, if paid to the contingent reserve fund in forty equal annual installments, beginning with payment of a first installment in the city's nineteen hundred seventy-five-nineteen hundred seventy-six fiscal year, would be the actuarial equivalent, on the basis of interest at the rate of five and one-half per centum per annum, of the remainder computed pursuant to items (v) and (vi) of this subparagraph (b).
(v) Upon the basis of the actuarial tables in effect as of July first, nineteen hundred seventy-seven for valuation purposes and interest at the rate of five and one-half per centum per annum, there shall be computed, as of June thirtieth, nineteen hundred seventy-five, the amount of the total liability for all benefits provided by this chapter, in article eleven of the retirement and social security law and in any other law prescribing benefits payable by the retirement system on account of all contributors and beneficiaries, excluding the liability on account of future increased-take-home-pay contributions and the liability for benefits attributable to the annuity savings fund and the variable annuity savings fund.
(vi) From such total liability computed pursuant to item (v) of this subparagraph (b), there shall be subtracted the sum of:
(A) the present value, as of June thirtieth, nineteen hundred seventy-five, of all future normal costs of the retirement system, computed pursuant to the entry age normal cost method of determining such normal costs; and
(B) the present value, as of such June thirtieth, of all then required future payments, pursuant to section 13-704 of this title (as then in effect), of installments of losses in excess of installments of gains on dispositions of securities within the meaning of such section; and
(C) the sum obtained by adding together the balance sheet liability as of such June thirtieth (as such liability is determined pursuant to the provisions of subparagraphs three to nine, inclusive, of this subdivision (f) and the total funds on hand, as of such June thirtieth, excluding the amount in the annuity savings fund and the variable annuity savings fund, but including the amount of any unpaid moneys appropriated pursuant to section 13-533 of this chapter.
(c) "Annual contribution, for balance sheet liability purposes, on account of amortization of losses on dispositions of certain securities within the meaning of section 13-704 of this title". A hypothetical annual payment to the contingent reserve fund in each of the city's fiscal years occurring during the period beginning on July first, nineteen hundred seventy-four and ending on June thirtieth, nineteen hundred eighty, of the amount of the excess of installments (payable in such year) of losses on prior dispositions of securities within the meaning of section 13-704 of this title over installments (creditable in such year) of gains on such prior dispositions, which annual amount shall be determined in the manner provided in subdivision h of such section 13-704.
(d) "Annual contribution, for balance sheet liability purposes, on account of reserves-for-increased-take-home-pay". A hypothetical annual payment to the contingent reserve fund in each of the city's fiscal years occurring during the period from July first, nineteen hundred seventy-four to June thirtieth, nineteen hundred eighty, of the amount required to fulfill the public employer obligation, which accrued in such year, to make contributions on account of increased-take-home-pay.
(e) "Annual military law contribution for balance sheet liability purposes". A hypothetical annual payment to the contingent reserve fund in each of the city's fiscal years occurring during the period beginning on July first, nineteen hundred seventy-four and ending on June thirtieth, nineteen hundred eighty, of the amount required to fulfill the public employer obligation, which accrued in such year under the provisions of subdivision twenty of section two hundred forty-three of the military law, to pay in behalf of members qualifying for such benefit member contributions with respect to certain periods of military service of such members.
(f) "Deficiency contribution". The total annual amount which, under the provisions of subdivisions a, c and f of this section, as such provisions were in effect during the period from July first, nineteen hundred seventy-two to June thirtieth, nineteen hundred seventy-seven, the city was required to pay to the contingent reserve fund in each of the city's nineteen hundred seventy-four-nineteen hundred seventy-five, and nineteen hundred seventy-five-nineteen hundred seventy-six and nineteen hundred seventy-six-nineteen hundred seventy-seven fiscal years.
(g) "Contribution on account of amortization, pursuant to section 13-704 of this title, of losses on dispositions of certain securities". The total annual amount by which the sum of the installments of losses, payable pursuant to section 13-704 of this title (as in effect prior to July first, nineteen hundred eighty) in each of the city's fiscal years occurring during the period from July first, nineteen hundred seventy-four to June thirtieth, nineteen hundred eighty in relation to dispositions of securities.
(2) The balance sheet liability as of June thirtieth, nineteen hundred seventy-four shall be the sum of five hundred thirty-two million, three hundred eighty-two thousand, one hundred forty-eight dollars ($532,382,148), consisting of the sum of:
(a) The discounted value, as of June thirtieth, nineteen hundred seventy-four, of the sum of two hundred fifty million, six hundred fifty-four thousand, two hundred forty dollars ($250,654,240), which constituted the amount payable to the contingent reserve fund in the city's nineteen hundred seventy-four-nineteen hundred seventy-five fiscal year by the city in fulfillment of its obligations to make contributions to the retirement system payable in such year, such discounting being calculated on the basis of interest at the rate of five and one-half per centum per annum and a discount period of six months extending retroactively from January first, nineteen hundred seventy-five to June thirtieth, nineteen hundred seventy-four, and such discounted value being the sum of two hundred forty-four million, thirty-three thousand, two hundred eight dollars ($244,033,208); and
(b) the discounted value, as of June thirtieth, nineteen hundred seventy-four, of the sum of three hundred twelve million, four hundred sixty-one thousand, nine hundred forty dollars ($312,461,940), which constituted the amount payable to the contingent reserve fund in the city's nineteen hundred seventy-five-nineteen hundred seventy-six fiscal year by the city in fulfillment of its obligations to make contributions to the retirement system payable in such fiscal year, such discounting being calculated on the basis of interest at the rate of five and one-half per centum per annum and a discount period of eighteen months extending from January first, nineteen hundred seventy-six retroactively to June thirtieth, nineteen hundred seventy-four, and such discounted value being the sum of two hundred eighty-eight million, three hundred forty-eight thousand, nine hundred forty dollars ($288,348,940).
(3) The balance sheet liability, as of each June thirtieth succeeding June thirtieth, nineteen hundred seventy-four to and including June thirtieth, nineteen hundred eighty, shall be determined as provided for in paragraphs four to ten, inclusive, of this subdivision f.
(4) To the amount of the balance sheet liability as of June thirtieth next preceding the June thirtieth (which last-mentioned June thirtieth is hereinafter referred to as the "subject June thirtieth") as of which the balance sheet liability is being determined as provided for in paragraph three of this subdivision f, there shall be added one year's interest on such amount at the rate of five and one-half per centum per annum.
(5) With respect to the city's fiscal year ending on the subject June thirtieth (hereinafter referred to as the "subject fiscal year"), there shall be added together the contribution components hereinafter specified in this paragraph five, which components, for the purposes of this subdivision f, are hypothetically deemed to have accrued in the subject fiscal year and to have been payable therein, as follows:
(a) the amount of the normal contribution for balance sheet liability purposes (as defined in subparagraph (a) of paragraph one of this subdivision f); and
(b) the amount of the applicable installment of the unfunded accrued liability contribution for balance sheet liability purposes (as defined in subparagraph (b) of paragraph one of this subdivision); and
(c) the amount of the annual contribution, for balance sheet liability purposes, on account of amortization of losses on dispositions of certain securities within the meaning of section 13-704 of this title (as defined in subparagraph (c) of paragraph one of this subdivision); and
(d) the amount of the annual contribution, for balance sheet liability purposes, on account of reserves-for-increased-take-home-pay (as defined in subparagraph (d) of paragraph one of this subdivision); and
(e) the amount of the annual military law contribution for balance sheet liability purposes (as defined in subparagraph (e) of paragraph one of this subdivision).
(6) To the amount resulting from the addition prescribed by paragraph five of this subdivision, there shall be added interest thereon at the rate of five and one-half per centum per annum from January first of the subject fiscal year to June thirtieth of such fiscal year.
(7) The amount computed pursuant to paragraph four of this subdivision in relation to the balance sheet liability as of June thirtieth next preceding the subject June thirtieth (together with one year's interest on such balance sheet liability) shall be added to the amount computed pursuant to paragraph six of this subdivision in relation to the subject fiscal year.
(8) From the amount computed pursuant to paragraph seven of this subdivision, there shall be subtracted the sum of:
(a) The total amount of the sums paid to the contingent reserve fund during the subject fiscal year by the city on account of its obligations, which accrued during the city's second fiscal year preceding the subject fiscal year, to provide:
(i) the normal contribution payable in the subject fiscal year under the provisions of subdivisions a and b of this section, as then in effect; and
(ii) the installment of the deficiency contribution (as defined in subparagraph (f) of paragraph one of this subdivision f) or the installment of the original unfunded accrued liability contribution (as defined in subparagraph (b) of paragraph one of subdivision a of this section), as the case may be, payable in the subject fiscal year; and
(iii) the amount of the contribution on account of amortization, pursuant to section 13-704 of this title, of losses on dispositions of certain securities (as defined in subparagraph (g) of paragraph one of this subdivision f) payable in the subject fiscal year; and
(iv) the amount payable in the subject fiscal year on account of reserves-for-increased-take-home-pay; and
(v) the amount payable in the subject fiscal year in behalf of contributors pursuant to subdivision twenty of section two hundred forty-three of the military law; plus
(b) interest on such total amount referred to in subparagraph (a) of this paragraph eight at the rate of five and one-half per centum per annum from January first of the subject fiscal year to June thirtieth thereof.
(9) The remainder resulting from the subtraction prescribed by paragraph eight of this subdivision f shall be the balance sheet liability as of June thirtieth of the subject fiscal year.
(10) The balance sheet liability as of June thirtieth, nineteen hundred eighty shall be the amount resulting from the successive computations of the balance sheet liability as of each June thirtieth succeeding June thirtieth, nineteen hundred seventy-four up to and including June thirtieth, nineteen hundred eighty, as prescribed by paragraphs four to nine, inclusive, of this subdivision f.
(11) (a) The balance sheet liability contribution payable in the city's nineteen hundred eighty-one-nineteen hundred eighty-two fiscal year shall be the first annual installment an amount which, if paid to the contingent reserve fund in forty equal annual installments, commencing with payment of a first installment in the city's nineteen hundred eighty-one-nineteen hundred eighty-two fiscal year, would be the actuarial equivalent, as of June thirtieth, nineteen hundred eighty-one, on the basis of seven and one-half per centum interest per annum, of an amount equal to the balance sheet liability as of June thirtieth, nineteen hundred eighty.
(b) The balance sheet liability contribution payable in each city fiscal year during the period beginning on July first, nineteen hundred eighty-two and ending on June thirtieth, nineteen hundred eighty-eight shall be one annual installment of an amount which, if paid to the contingent reserve fund in thirty-nine equal annual installments, commencing with a first payment in the city's nineteen hundred eighty-two-nineteen hundred eighty-three fiscal year, would be the actuarial equivalent, as of June thirtieth, nineteen hundred eighty-two, on the basis of eight per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-two on the basis of seven and one-half per centum interest per annum, of those installments of the balance sheet liability contribution computed pursuant to subparagraph (a) of this paragraph (11), which installments are hypothetically allocated by such subparagraph (a) to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-two.
(c) The balance sheet liability contribution payable in each city fiscal year during the period beginning on July first, nineteen hundred eighty-eight and ending on June thirtieth, two thousand twenty-one shall be one annual installment of an amount which, when paid to the contingent reserve fund in thirty-three equal annual installments, commencing with a first payment in the city's nineteen hundred eighty-eight-nineteen hundred eighty-nine fiscal year, shall be the actuarial equivalent, as of June thirtieth, nineteen hundred eighty-eight, on the basis of eight and one-quarter per centum interest per annum, of the present value, as of June thirtieth, nineteen hundred eighty-eight on the basis of eight per centum interest per annum, of those installments of the balance sheet liability contribution computed pursuant to subparagraph (b) of this paragraph (11), which installments are hypothetically allocated by such subparagraph (b) to designated city fiscal years succeeding June thirtieth, nineteen hundred eighty-eight.
g. Whenever the board, upon recommendation by the actuary, shall determine that it is necessary to increase the reserves held in the annuity reserve fund, the pension reserve fund number one or the pension reserve fund number two or upon recommendation by the executive director, shall determine that it is necessary to increase the reserves held in the expense fund, the board may direct that the amount so needed shall be transferred thereto from the contingent reserve fund.
h. Contributions shall be paid into the contingent reserve fund in the manner and to the extent specified by subparagraph (f) of paragraph one of subdivision a of this section, to provide reserves-for-increased-take-home-pay.
i. Contributions to the contingent reserve fund payable in fiscal years of the city beginning on and after July first, nineteen hundred ninety by the city and other obligors required to make such contributions shall be governed by the provisions of this section, as modified and supplemented by section 13-638.2 of this title and subdivision k of section 13-582 thereof, and such other laws as may be applicable.