( 8 points) Suppose you purchase a 30 -year, zero-coupon bond with a yield to maturity of 6%. You hold the bond for five years before selling it. Assume $1,000 face value. a. If the bond's yield to maturity is 6% when you sell it, what is the internal rate of return of your investment? b. If the bond's yield to maturity is 7% when you sell it, what is the internal rate of return of your investment? c. If the bond's yield to maturity is 5% when you sell it, what is the internal rate of return of your investment? d. Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain. Assumptions Coupon rate Face value Time to maturity at purchase (yrs) Yield to maturity at purchase Purchase price Part A Yield to maturity at sale Time to maturity at sale (yrs) Sale price Part B Yield to maturity at sale Time to maturity at sale (yrs) Sale price Part C Yield to maturity at sale Time to maturity at sale (yrs) Sale price $1,000.00 30.00 6.00% 7.00% 5.00% Bond cash flows Part A Long Form Return on investment Part B Long Form Return on investment Part C Long Form Return on investment