3. The following table gives the prices of some zero-coupon and semiannual coupon bonds: Maturity (years) Price per 100 face value 0.50 1.00 1.50 Coupon rater (% per annum 0.000 2.250 2.250 98.82 99.66 99.23 Calculate the spot rates of interest for maturities of 0.5, 1.0 and 1.5 years using the bootstrap method. 4. The following table gives the yield to maturity of some zero-coupon and semiannual coupon bonds: Maturity (years) 0.50 1.00 Coupon rater (% per annum) 0.00 2.80 Yield to maturity (% per annum convertible semiannually) 1.00 2.80 Calculate the spot rate of interest for maturity of 1 year. 5. A 5-year 6% semiannual coupon bond with face value $100 currently sells for $98. A 5-year 2% semiannual coupon bond with face value $100 currently sells for $91. What is the current 5-year spot rate? (Hint: Construct a portfolio of bonds by longing one bond and shorting another so that your portfolio is like a zero coupon bond)