Consider $1000 face value of a zero-coupon bond with 20 years to maturity (a) (b) (c) 3. What is the Macaulay duration of this bond? What is the modified duration of this bond if the price today is $372.43? Suppose the bond is yielding 6.2% and this changes to 6.3%. What percentage price change is predicted by the (modified) duration at the 6.2% yield? what actual percentage price change occurs? Answer with at least four decimal places