You are given a $1000 par value bond with 9% annual coupons, 5% effective annual yield rate, and maturing at par in 4 years. Find the following: a) The price of the bond: P = 1141.84 b) The modified duration of the bond: Dmod = 3.13 C) Use the first-order modified approximation to estimate the change in the price of the bond if the interest rate changes to i 4.8%: AP 7 14 d) Estimate the new price of the bond using the approximation in c): P = 1142.20