Consider a bond with face value F that pays a coupon of c once every year and matures in n years. Denote the yield as ; and denote :=1/(1+). Suppose the bond has a very long maturity, i.e., n. (i) Derive the bond price P in two ways: (a) by letting n in the price-yield relation; (b) directly as the present value of an infinite cash flow. (ii) What is the duration D and the modified duration DM for this bond (i.e., when n )