Part 1: Consider a zero-coupon bond with a face value of $100, a time-to-maturity of one year and a price of $105. What is its yield-to-maturity?

Part 2: Consider a coupon bond with a face value of $100, a coupon rate of 2%, a time-to- maturity of two years and a price of $85. What is its yield-to-maturity? Hint: Solve numerically using a scientific calculator or Excel.

Part 3: (Essential to cover, a, b, and c only) Consider a coupon bond with a face value of $100, a coupon rate of 20%, a timetomaturity of three years and a yield-to-maturity of 4% (implying a price of $144.40).

a. What would be the holding period return on buying the bond today and selling it in one year's time if interest rates in one year's time are such that the bond's yield-to-maturity is still 4%?

b. What would be the holding period return on buying the bond today and selling it in one year's time if interest rates in one year's time are such that the bond's yield-to-maturity is 5%?

c. What would be the holding period return on buying the bond today and selling it in one year's time if interest rates in one year's time are such that the bond's yield-to-maturity is 3%?

d. Can you think of any reason why the change in holding period return is not symmetric even though the change in yield-to-maturity is, i.e. it is changing by one percent in both question b and c compared to question a (although in different directions)?