In: Statistics and Probability
A company borrows $170000, which will be paid back to the lender in one payment at the end of 8 years. The company agrees to pay yearly interest payments at the nominal annual rate of 11% compounded yearly. At the same time the company sets up a sinking fund in order to repay the loan at the end of 8 years. The sinking fund pays interest at an annual nominal interest rate of 4% compounded yearly. Find the total amount of the yearly payments, that is, the sum of the interest payment and the sinking fund payment.