Question

The trustees of a college have accepted a gift of ​$250000 but are required to deposit...

The trustees of a college have accepted a gift of ​$250000 but are required to deposit it in an account paying 6​% per​ year, compounded semiannually. They may make equal withdrawals at the end of each​ six-month period, but the money must last 4 years.

a. Find the amount of each withdrawal.

b. Find the amount of each withdrawal if the money must last 6 years.

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Answer #1

Present Value = $250,000

Interest Rate = 6% semi-annually

a.

Time Period = 4 years

Calculating Semi-Annual Withdrawal,

PMT = [FV = 0, PV = 250,000, T = 8, I = 0.06/2]

Semi-Annual Withdrawal = $35,614.10

b.

Time Period = 6 years,

Calculating Semi-Annual Withdrawal,

PMT = [FV = 0, PV = 250,000, T = 12, I = 0.06/2]

Semi-Annual Withdrawal = $25,115.52

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