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Joseph has just accepted a job as a stockbroker. He estimates his gross pay each year for the next three years is $35,000 in year 1, $21,000 in year 2, and $32,000 in year 3. The present value of these cash flows, if they are discounted at 4%, is closest to ______.

A. $79,452.30
B. $80,294.50
C. $81,517.10
D. $88,000

Respuesta :

Shahzaibfaraz

Answer:

The present value of the cash flows is closest to $81517.10. Thus, option C is the correct answer.

Explanation:

The present value of the cash flows is the value of future cash flows in today's terms. The cash flows are discounted back to today's value using an appropriate discount rate. The formula to calculate the present value of such cash flows is,

PV = CF1 / (1+r)  +  CF2 / (1+r)^2  +  CF3 / (1+r)^3

Thus, the PV = 35000 / (1+0.04)  +  21000 / (1+0.04)^2  +  32000 * (1+0.04)^3

PV = $81517.4101

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