A couple will retire in 50 years; they plan to spend about $26,000 a year (in current dollars) in retirement, which should last about 25 years. They believe that they can earn a real interest rate of 9% on retirement savings. 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. How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $56,000 on their child’s college education?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A couple will retire in 50 years; they plan to spend about $26,000 a year (in current dollars) in retirement, which should last about 25 years. They believe that they can earn a real interest rate of 9% on retirement savings.

  1. 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. How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $56,000 on their child’s college education?
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