Problem 3. (14 points) Consider the following rate and price tree for a straight bond. 981.65 9% VHH =? 1,009.43 6% 991.20 7.5% 1,027.46 H=? 6% VL=? 1,047.02 4.5% VL=? VHL =? 1,038.83 3% VLL =? Find the missing prices for a European put option on the bond. The option expires at the end of the second year and has an exercise price of $1,020. Also, determine whether or not it would be optimal for the holder to exercise early at the end of the first year at node H?