Lynn Ally, owner of a local Subway shop, loaned $40,000 to Pete Hall to help him open a Subway franchise. Pete plans to repay Lynn at the end of 8 years with 6% interest compounded semiannually. How much will Lynn receive at the end of 8 years?

Lynn will receive $63,754 at the end of 8 years.

Explanation:

Future value is the sum of value of principal invested and compounded return received over the investment period.

Using following formula of future value to calculate the required interest rate.

FV  = PV x ( 1 + r )^n

PV  = Present value = $40,000

n = number of years = 8 years

r = Interest rate = 6%

FV = Future value = ?

FV  = $40,000 x ( 1 + 6% )^8 = $63,754

Lynn Ally owner of a Subway shop, loaned $40,000 to Pete Hall to help him open a Subway franchise. Pete plans to repay Lynn at the end of 8 years with 6% interest compounded semiannually. How much will Lynn receive at the end of 8 years?

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