For each of the bonds and reinvestment rates listed below calculate the amount of money accumulated at the end from a $1000 initial investment: (a) Invest $1000 in a 5-year zero coupon bond with a yield to maturity of 9 percent. (b) Buy a 5-year 9% coupon annual pay bond at par ($1000) and reinvest the annual coupons at 9% (annual compounding). (c) Same as (b) but reinvest the annual coupons at 12%. (d) Same as (b) but reinvest the annual coupons at 6%. (e) For (a) through (d) calculate the annual holding period return. What can you conclude about the relationship between yield to maturity and holding period returns?