Kevin Hall borrowed some money from his friend and promised to repay him $1,260, $1,370, $1,530, $1,650, and $1,650 over the next five years.
If the friend normally discounts investment cash flows at 7.5 percent annually, how much did Kevin borrow?

Respuesta :

Answer:

$5974

Explanation:

Present value of a sum borrowed is equal to it's future payments discounted at r% rate of interest compounded annually for n periods.

Given: Repayment Schedule;

Year 1         $1260

Year 2        $1370

Year 3        $1530

Year 4        $1650

Year 5        $1650

Annual Rate of interest : 7.5 percent

Time period : 5 years

Money borrowed will be equal to the present value of future payments discounted at 7.5% per annum.

PV = [tex]\frac{1260}{(1\ +\ .075)^{1} } \ +\ \frac{1370}{(1\ +\ .075)^{2} } \ +\ \frac{1530}{(1\ +\ .075)^{3} } \ +\ \frac{1650}{(1\ +\ .075)^{4} } \ +\ \frac{1650}{(1\ +\ .075)^{5} }[/tex]

Present Value = $5974 = Money borrowed

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