a. After retirement, you expect to live for 25 years. You would like to have $76,000 income each year. How much should you have saved in your retirement account to receive this income, if the annual interest rate is 9% per year? (Assume that the payments start on the day of your retirement.) b. Mr. Hopper expects to retire in 25 years, and he wishes to accumulate $740,000 in his retirement fund by that time. If the interest rate is 10% per year, how much should Mr. Hopper put into his retirement fund each year in order to achieve this goal? (Assume that he makes payments at the end of each year.) c. A government bond issued in France has a coupon rate of 5%, a face value of 100 euros, and matures in five years. The bond pays annual interest payments. Calculate the price of the bond (in euros) if the yield to maturity is 3.5%. d. Which bond is more sensitive to an interest rate change of 0.75%? Explain your results. Bond A: YTM = 4.00%, maturity = 8 years, coupon = 6% or $60, par value = $1,000. Bond B: YTM = 3.50%, maturity = 5 years, coupon = 7% or $70, par value = $1,000.