Problem 3. David borrows an amount at an annual effective interest rate of 7.25% and will repay all interest and principal in a lump sum at the end of 12 years. He uses the amount borrowed to purchase a 10-year semiannual coupon bond with face amount of $1,000. The bond has a nominal coupon rate of 10% and a nominal yield to maturity of 8% both convertible semiannually. All coupon payments and the redemption amount are reinvested at an annual effective interest rate of 6%. The redemption amount is paid at the end of the maturity date. Calculate the redemption amount needed such that David is just able to repay the loan. Problem 3. David borrows an amount at an annual effective interest rate of 7.25% and will repay all interest and principal in a lump sum at the end of 12 years. He uses the amount borrowed to purchase a 10-year semiannual coupon bond with face amount of $1,000. The bond has a nominal coupon rate of 10% and a nominal yield to maturity of 8% both convertible semiannually. All coupon payments and the redemption amount are reinvested at an annual effective interest rate of 6%. The redemption amount is paid at the end of the maturity date. Calculate the redemption amount needed such that David is just able to repay the loan