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You win the lottery and must decide how to take the payout. Use a 10​% discount rate. What is the present value of $ 12 comma 000 a year received at the end of each of the next five ​years?

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Answer:

PV= $45,489.44

Explanation:

Giving the following information:

Discount rate= 10%

Cash flow= $12,000

Number of years= 5

First, we need to calculate future value. We will use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {12,000*[(1.1^5) - 1]} / 0.1

FV= $73,261.2

Now, the present value:

PV= FV/(1+i)^n

PV= 73,261.2/1.1^5

PV= $45,489.44