
Explanation:
The correct answer is C, which represents a payoff of USD 225,000 for the asset-or-nothing put option position. This type of option is a form of exotic option where the payoff is either the underlying asset or nothing if the option is in-the-money at expiration. In this scenario, the trader has purchased an asset-or-nothing put option on 5,000 shares of stock KRP, with a strike price of USD 49 and a maturity of 1 month. The stock is currently trading at USD 52 per share, and at expiration, the price is USD 45.
Since the stock price at expiration is below the strike price, the option is in-the-money. The payoff for an asset-or-nothing put option is calculated by multiplying the difference between the strike price and the stock price at expiration by the number of shares. However, instead of receiving cash as in a standard put option, the option holder receives the underlying asset (the stock) itself.
The calculation for the payoff is as follows:
However, since this is an asset-or-nothing put option, the option holder receives the stock at the strike price, which is USD 49 per share. Therefore, the total payoff is:
But, since the stock is trading at USD 45, the actual value of the stock received is:
Thus, the best estimate to the payoff of the asset-or-nothing put option position is USD 225,000, which corresponds to option C.
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An investor has purchased an asset-or-nothing put option on a lot of 5,000 shares of KRP stock, with the stock currently trading at USD 52 per share. This particular option has a strike price of USD 49 and expires in one month. If at the time of the option's expiration the stock price declines to USD 45, what would be the correct calculation to determine the payoff for this asset-or-nothing put option contract?
A
USD20.000
B
USD35,000
C
USD225,000
D
USD245,000