Suppose the prices of zero-coupon bonds paying $100 at maturity are: Price Time to maturity (years) $96.15 1 $90.70 2 $83.96 3 $76.29 4 Bond B1 B B3 B4 a. [1pt] What is the price of the 3-year coupon bond paying a coupon rate of 10% per year annually and a face value of $100,000. b. [2pt] What is the bond's yield-to-maturity? c. [2pts] What is the (Macaulay's) duration of the bond? d. [3pts] Given that the bond's convexity is 9.49, how much would the price of the bond change if the yield decreased by 2%? Please report [1] the exact price change, [2] the approximate price change using duration, and [3] the approximate price change using duration and convexity.