3. (Note that sub-questions (a) to (c) were asked in assignment #2. You can either use the solution from assignment #2 directly or re-do the calculation for completeness.) The current on-the-run yields for the Ramsey Corporation are as follows: Maturity (years) Yield to Maturity (%) Market Value 100 2.5 100 2.6 100 2.7 Assume that each bond is an annual-pay bond and trading at par. Answer the questions Assignment 5 Page 1 below. Using the bootstrapping methodology, complete the following table: a. Spot Rate (%) One-Year Forward Rate (%) Year b. Using the spot rates, what would be the value of a three-year 3.5% coupon option- free bond of this issuer? c. Using the one-year forward rates, what would be the value of a three-year 3.5% coupon option-free bond of this issuer? d. Using the same binomial interest rate model as describe in the lecture note. (That is, at date t, if the interest rate at the lowest node is r, then the interest rate one node above is re2", two nodes above is rze", .., where a is the assumed standard deviation of one-year interest rate.) If o is assumed to be 10%, what is the lower one-year spot rate one year from now? What is the one-year spot rate two years from now? Draw the complete binomial interest rate tree. e. Determine the value of a three-year 3.5% coupon option-free bond for this issuer using the binomial interest-rate tree. f. Determine the value of a three-year 3.5% coupon bond that is callable at par (100) after one year. g. Determine the value of a three-year3.5% coupon bond that is puttable at par (100). 3. (Note that sub-questions (a) to (c) were asked in assignment #2. You can either use the solution from assignment #2 directly or re-do the calculation for completeness.) The current on-the-run yields for the Ramsey Corporation are as follows: Maturity (years) Yield to Maturity (%) Market Value 100 2.5 100 2.6 100 2.7 Assume that each bond is an annual-pay bond and trading at par. Answer the questions Assignment 5 Page 1 below. Using the bootstrapping methodology, complete the following table: a. Spot Rate (%) One-Year Forward Rate (%) Year b. Using the spot rates, what would be the value of a three-year 3.5% coupon option- free bond of this issuer? c. Using the one-year forward rates, what would be the value of a three-year 3.5% coupon option-free bond of this issuer? d. Using the same binomial interest rate model as describe in the lecture note. (That is, at date t, if the interest rate at the lowest node is r, then the interest rate one node above is re2", two nodes above is rze", .., where a is the assumed standard deviation of one-year interest rate.) If o is assumed to be 10%, what is the lower one-year spot rate one year from now? What is the one-year spot rate two years from now? Draw the complete binomial interest rate tree. e. Determine the value of a three-year 3.5% coupon option-free bond for this issuer using the binomial interest-rate tree. f. Determine the value of a three-year 3.5% coupon bond that is callable at par (100) after one year. g. Determine the value of a three-year3.5% coupon bond that is puttable at par (100)