Problem 2 (a). Current time is t. Recall from (b) of the last problem: a zero-coupon bond makes a one-shot payment which occurs on its maturity date. Show that both the Macaulay duration and Fisher-Weil duration for a zero-coupon bond equal its time to maturity (i.e. T t). Based on this, argue that a long-term zero-coupon bond is riskier than a short-term one