Which of the following are true for the duration of a bond? Select all that apply. 1. The duration of a perpetual bond is infinite. II. Everything else remaining equal, the duration of a coupon bond increases with maturity III. The duration of a bond decreases as the coupon rate on the bond increases. IV. The duration of a five year maturity 10% coupon bond will be higher than the duration of a five year maturity zero coupon bond