PROBLEM 4 (16 MARKS) Assume that expectation hypothesis holds and use the following to answer questions a- d: Year 1-Year Forward Rate 5.8% 6.4% 7.1% 4 7.3% 5 7.4% a. (3 MARKS) What should the purchase price of a 2-year zero coupon bond be if it is purchased at the beginning of year 2 and has face value of $1,000? b. (4 MARKS) What would the yield to maturity be on a four-year zero coupon bond purchased today? PROBLEM 4 CONTINUED C. (5 MARKS) Calculate the price at the beginning of year 1 (today) of a 10% annual coupon bond with face value $1,000 and 5 years to maturity. d. (4 MARKS) What should be the holding period return of a 10% annual coupon bond with face value $1000 and five years to maturity if it is purchased at the beginning of year 1 (today) and sold at the beginning of year 2 in one year), assuming that rates do not change