Answer the following numerical questions. In all calculations assume a par value of 2,000 and round your final answer up to two decimals. Choose the answer closest to your calculations. (i) What are the Macaulay and modified duration of a 1% coupon bond making annual coupon payments if it has 3 years until maturity and a yield to maturity (YTM) of 14%? (ii) What are the Macaulay and modified duration of a 20% coupon bond making annual coupon payments if it has 5 years until maturity and a yield to maturity (YTM) of 5%? Select one: a. (i) Macaulay Duration: 2.87 years, Modified Duration: 2.74 (i) Macaulay Duration: 3.19 years, Modified Duration: 3.05 b. (1) Macaulay Duration: 2.97 years, Modified Duration: 2.84 (ii) Macaulay Duration: 3.59 years, Modified Duration: 3.55 C. (i) Macaulay Duration: 2.76 years, Modified Duration: 2.67 (ii) Macaulay Duration: 3.49 years, Modified Duration: 3.05 d. (1) Macaulay Duration: 2.84 years, Modified Duration: 2.79 (ii) Macaulay Duration: 3.55 years, Modified Duration: 3.45