A couple will retire in 50 years; they plan to spend about $34,000 a year (in current dollars) in retirement, which should last about 25 years. They believe that they can earn a real interest rate of 7% 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. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Annual savings $ Annual savings 761.74 b. How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $64,000 on their child's college education? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. 1,370.95

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 14P
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A couple will retire in 50 years; they plan to spend about $34,000 a year (in current dollars) in retirement, which should last about 25
years. They believe that they can earn a real interest rate of 7% 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.
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Annual savings
$
Annual savings
761.74
b. How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $64,000 on their
child's college education?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
1,370.95
Transcribed Image Text:A couple will retire in 50 years; they plan to spend about $34,000 a year (in current dollars) in retirement, which should last about 25 years. They believe that they can earn a real interest rate of 7% 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. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Annual savings $ Annual savings 761.74 b. How would the answer to part (a) change if the couple also realize that in 20 years they will need to spend $64,000 on their child's college education? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. 1,370.95
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