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You just won the grand prize in a national writing contest! As your prize, you will receive $500 a month for 50 months. If you can earn 7 percent on your money, what is this prize worth to you today? A. $20,333.33 B. $21,629.93 C. $21,338.40 D. $18,411.06 E. $19,450.25

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facundobuzzetti

Answer:

The correct answer is B.

Explanation:

Giving the following information:

Cash flow= $500

Number of months= 50

Monthly interest rate= 0.07/12= 0.00583

First, we need to calculate the future value using the following formula:

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

A= cash flow

FV= {500*[(1.00583^50) - 1]} / 0.00583

FV= $28,928.06

Now, the present value:

PV= FV/(1+i)^n

PV= 28,928.06/(1.00583^50)

PV= $21,631.67