Bonus Problem 2 (Optional, 25 marks) Recently, an investor borrows an amount $50000 from bank A (loan A) and borrows another $40000 from bank B (loan B). You are given that For loan A, the investor is agreed to repay the loan by 48 level monthly repayments made at the end of every month. The loan charges at an annual nominal interest rate 6% convertible monthly. The first repayment is made after one month. For loan B (offered by bank, the investor is agreed to repay the loan by 36 level monthly repayments made at the end of every month. The loan charges at an annual nominal interest rate 12% convertible monthly. The first repayment is made after one month. Just after the investor has made 24th repayment (i.e. after 2 years), the investor decides to combine two loans by borrowing certain amount from bank C(loan C) and use the amount borrowed to repay the two loans completely. You are given that For loan C, the investor is allowed to pay the interest-due only at the end of every month until the investor can repay the loan principal at some repayment date. The first repayment is made one month after the loan C is made. The loan C charges interest at an annual nominal interest rate 9% convertible monthly. In order to repay the loan principal, the investor will deposit $2000 in an investment fund at the end of every month. The first deposit is made one month after the loan C is made. The fund earns compounded interest at annual effective interest rate 6%. The investor will repay the loan principal once the account balance of the fund (including the deposit made at that time) reaches/exceeds the loan principal of loan C at some repayment date. Calculate the total amount of payment paid by the investor