In order to guarantee the salary payment of the city guard for the next 4 years, Master of Coins, Petyr Baelish purchases a 4-year bond with 100 face value and 5% annual coupons that matures at 110 (this is the redemption amount). Petyr buys this bond to produce an annual yield rate of 5.0745%. (a) (10 points) What is the price Petyr has to pay to purchase this bond? (b) For the valuation of bond, the term structure in effect has the following spot rates: ri = 4% r2 = - 4.25% r3 = 4.45% 14 = = X%. Calculate X