Question

Suppose that $2000 is loaned at a rate of 11.5% , compounded semiannually. assuming that no payments are made, find the amount owed after 5 years. do not round any intermediate computations, and round your answer to the nearest cent.

Answer 1

This problem is solved by using the compound interest formula:
A=P(1+(I/period))^(number of periods)
Where A = amount accumulated and P = amount loaned and I = Interest
A = ? P = $2, 000, I = 0.115, Period = 2 (semi annually) Number of period = 2
*7 (I. e paid twice over a 7 yrs span)
So we have
A = 2000 ( 1 + 0.115/2)^(14)
A = 2000 ( 1 + 0.0575)^(14)
A = 2000 (1.0575)^(14)
A = 2000 (2.1873851765154) = 4374.77035
So we have 4374.80 to the nearest cent.