Year	1	2	3	4
Oil forward price (in $)	21.1	20.5	20	19.8
Gas swap price (in $)	2.4236	2.2404	2.2326	2.2044
Zero-coupon bond price (in $)	0.9701	0.9388	0.9075	0.8763

1. Using the zero-coupon bond prices and natural gas deferred fixed-rate swap prices in the above table, what are gas forward prices for each of the 4 years? (Hint: think bootstrapping)

2. Given a 4-year oil swap price of $20.43, construct the implicit loan balance for each quarter over the life of the swap. (Remember, swaps are nothing more than forward contracts coupled with borrowing and lending money)

3. Consider a chooser option where the holder has the right to choose between a European call and a European put at any time during a 2-year period. The maturity dates and strike prices for the calls and puts are the same regardless of when the choice is made. Is it ever optimal to make the choice before the end of the 2-year period? Explain your answer.