Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Jill Moran. Ms. Moran, by contract, will retire at the end of exactly 12 years. Upon retirement, she is entitled to receive an annual end-of-year payment of $42,000 for exactly 20 years. If she dies prior to the end of the 20-year period, the annual payments will pass to her heirs. During the 12-year “accumulation period,” Sunrise wishes to fund the annuity by making equal, annual, end-of-year deposits into an account earning 9% interest. Once the 20-year “distribution period” begins, Sunrise plans to move the accumulated monies to an account earning a guaranteed 12% per year. At the end of the distribution period, the account balance will equal zero. Note that the first deposit will be made at the end of year 1 and that first distribution payment will be received at the end of year 13. How much would Sunrise have to deposit annually during the accumulation period if Ms. Moran’s retirement annuity were a perpetuity and all other terms were the same as initially described?

SWFT Comprehensive Vol 2020
43rd Edition
ISBN:9780357391723
Author:Maloney
Publisher:Maloney
Chapter4: Gross Income: Concepts And Inclusions
Section: Chapter Questions
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Sunrise Industries wishes to accumulate funds to provide a retirement annuity for its vice president of research, Jill Moran. Ms. Moran, by contract, will retire at the end of exactly 12 years. Upon retirement, she is entitled to receive an annual end-of-year payment of $42,000 for exactly 20 years. If she dies prior to the end of the 20-year period, the annual payments will pass to her heirs. During the 12-year “accumulation period,” Sunrise wishes to fund the annuity by making equal, annual, end-of-year deposits into an account earning 9% interest. Once the 20-year “distribution period” begins, Sunrise plans to move the accumulated monies to an account earning a guaranteed 12% per year. At the end of the distribution period, the account balance will equal zero. Note that the first deposit will be made at the end of year 1 and that first distribution payment will be received at the end of year 13. 

How much would Sunrise have to deposit annually during the accumulation period if Ms. Moran’s retirement annuity were a perpetuity and all other terms were the same as initially described?

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