A couple will retire in 50 years; they plan to spend about $32,000 a year in retirement, which should last about 25 years. They believe that they can earn 9% interest on retirement savings. a) If they make annual payments into a savings plan, how much will they need to save each year? Assume the first payment comes in 1 year.  b) How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $62,000 on their child’s college education?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 35P
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A couple will retire in 50 years; they plan to spend about $32,000 a year in retirement, which should last about 25 years. They believe that they can earn 9% interest on retirement savings.

  1. a) If they make annual payments into a savings plan, how much will they need to save each year? Assume the first payment comes in 1 year. 
  2. b) How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $62,000 on their child’s college education? 
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