Agus borrows $10,000 for five years at 8% convertible semiannually. Agus replaces the principal by means of deposits at the end of every year for 5 years into a sinking fund which earns 10% effective (annual interest). Find the total dollar amount which Agus must pay over the 5 year period to completely repay the loan.

Hint : This problem has different payment periods and interest conversion periods. First, you should find semiannual interest payment, then find annual sinking fund deposit. Your accumulation deposit has to able to pay the loan $10,000. Finally, calculate the total payment both semiannual interest payment (10 times) and annual sinking fund deposit (5 times) over 5 years.