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Applying Time Value. A couple will retire in 50 years: they plan to spend about $30,000 per year in retirement. which should last about 25 years. They believe that they can cam 8 percent 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 is made in one year.

b. How would the answer to part (a) change if the couple also realize that in 20 year; they will need to spend $60,000 on their child's university or college education?

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