Answer: An out-of-the-money put option

## Explanation Wrong-way risk occurs when the exposure to a counterparty is positively correlated with the counterparty's probability of default. In this case, the financial institution is writing options on its own stock, so if the institution defaults, the hedge fund (as the option holder) faces credit risk. **Analysis of each option:** - **A. In-the-money call option**: As the stock price increases, the call option value increases, but the financial institution's credit quality likely improves with higher stock price, creating negative correlation (right-way risk). - **B. In-the-money put option**: As the stock price decreases, the put option value increases, but the financial institution's credit quality deteriorates with lower stock price, creating positive correlation (wrong-way risk). - **C. Out-of-the-money call option**: Similar to A, but with less intrinsic value. - **D. Out-of-the-money put option**: This creates the **highest wrong-way risk** because: - As the stock price declines significantly, the put option moves from out-of-the-money to in-the-money - The financial institution's credit quality deteriorates substantially with significant stock price decline - The exposure (put option value) increases precisely when the counterparty is most likely to default - Out-of-the-money options have higher leverage effect when they move into the money The out-of-the-money put option represents the scenario where the hedge fund's exposure increases most dramatically at exactly the time when the financial institution is most likely to default, creating the strongest positive correlation between exposure and default probability.

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