You are a financial manager, and you have bonds worth $$1,550,000$ in your

portfolio which have a $7$ percent coupon rate and will be maturing in $10$

years from now. The market rate is also $7$ percent but is likely to either

rise to $8\%$ or fall to $6\%$

Based on the above information, answer the following questions:

iii$)$ Suppose a call and put option on these bonds is available with

an exercise price of $$1,700,000.$ These contracts are available

in standard contract sizes of $100$ options per contract at a

price of $$5$ per contract. Show the net impact of a change in

market rates if options are used for hedging the exposure.

iv$)$ If a futures contract on these bonds is available with a standard

contract size of $$155,000$ per contract, show what will be the

net impact of a change in market rates if futures are used for

hedging the exposure.

v$)$ Which hedge provides better results? Why?