Analysis of Financial Claim

We have been given a risky asset with an initial value of 10 at time t=0, and at time t=1, its value can be 3 or 14 (i.e., S_1={3,14}). Additionally, we also have a financial claim at time t=1.

Determining the Type of Financial Claim

The financial claim gives a payoff at time t=1, which is given as F = 0 if S_1 = 3 and F = 5 if S_1 = 14. This type of financial claim is known as a 'put option'.

Determining the Strike Price

Now, we need to determine the strike price of the put option. The strike price of the put option is the price at which the owner of the put option can sell the underlying asset. Since the financial claim is a put option, the strike price would be such that the owner can sell the underlying asset (risky asset) at a profit if the price of the risky asset falls below the strike price.

We know that the payoff of the put option is F = 0 if S_1 = 3 and F = 5 if S_1 = 14. Therefore, the strike price (k) can be calculated as follows:

• if S_1 = 3, then F = 0, which means that k > S_1. Therefore, the strike price (k) is greater than 3.
• if S_1 = 14, then F = 5, which means that k < S_1. Therefore, the strike price (k) is less than 14.

Hence, the strike price (k) of the put option is 'k=3'.

Therefore, the financial claim is a 'put option' with a strike price of 'k=3'.