Assume Sheryl Jenkins wants to accumulate $ 13,241.39 in two years. She currently has $ 10,621.36 to invest. What interest rate must she earn on her investment (that is, if she deposits $ 10,621.36 today) to have $ 13,241.39 exactly two years from today?

Respuesta :

Answer: 11.65%

Explanation:

The $13,241.39 is a future value amount as it is what is to be accumulated in 2 years.

Future value formula therefore applies:

Future value = Current value * ( 1 + interest rate) ^ no. of years

13,241.39 = 10,621.36 * ( 1 + i) ²

(1 + i)² = 13,241.39 / 10,621.36

(1 + i)² = 1.24667556697

1 + i = √1.24667556697

i = 1.116546267 - 1

i = 11.65%