1. A bond with 3 years of maturity with face value $10000 is paying semi-annual coupon bond with coupon rate c%. The bond price is P. The effective yearly discount rate is 10%. (a) (2 points) Write the equation to show the relationship between c and P. (b) (3 points) When the effective yearly discount rate decreases to 9.8%, the bond price becomes 1.02P. Estimate the duration of this bond. (c) (2 points) From the duration estimated from the last part, Perco claimed that the price change is not a legitimate price change. Do you agree? Explain