Question
7. Boris borrows $300,000 from Triple Bank to be repaid over the next 10 years. The loan is a sinking fund loan. Under the loan,
7. Boris borrows $300,000 from Triple Bank to be repaid over the next 10 years. The loan is a sinking fund loan. Under the loan, Boris will pay the bank interest at the end of each year at an annual effective interest rate of i. The amount of this payment will be $I. Additionally, Boris will make a deposit into a sinking fund at the end of each year such that at the end of 10 years, the amount in the sinking fund will exactly repay the loan principal of $300,000. The deposit into the sinking fund will be $D. The sinking fund will earn an annual effective interest rate of 6.25%. Under this loan, I = D. (a) Find the value of D. (b) Find the value of i. (c) Calculate the balance of the sinking fund account right after the 7th deposit.
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