Consider a bond with a coupon of 6.2 percent, five years to maturity, and a current price of $1,067.80. Suppose the yield on the bond suddenly increases by 2 percent. Use duration to estimate the new price of the bond. Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

,  a. Find the duration of a 7% coupon bond making annual coupon payments if it has three years until maturity and a yield to maturity of 7.6%. (Do not round intermediate calculations. Round your answers to 4 decimal places.) b. What is the duration if the yield to maturity is 11.6%? (Do not round intermediate calculations. Round your answers to 4 decimal places.)   7.6% YTM __ Years 11.6% YTM __ Years

Compute the Macaulay duration under the following conditions:   a. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 8%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value.   _________ years   b. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 12%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value.   _________ years   c. Compare your answers to Parts a and b, and discuss the implications of this for classical immunization.   As a market yield increases, the Macaulay duration -(Select:declines/increases) . If the duration of the portfolio from Part a is equal to the desired investment horizon the portfolio from Part b is -(Select: no longer/still) perfectly immunized.        Only typed answer

You purchase a bond with a coupon rate of 6.8 percent, a par value $1,000, and a clean price of $910. Assume a par value of $1,000. If the next semiannual coupon payment is due in two months, what is the invoice price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)