The correct cost of liquidation for the stock position under a stressed market scenario based on a 99% confidence level is USD 206,955. This is calculated by using the formula for liquidation in a stressed market which is 0.5 times the offer price (54 USD) times the number of shares (100,000) times the sum of the mean bid-offer spread (0.0185) and the product of 2.326 (the z-score for a 99% confidence level) and the standard deviation of the bid-offer spread (0.025). The calculation is as follows:

$\text{Liquidation in a stressed market} = 0.5 \times (54 \times 100,000) \times (0.0185 + 2.326 \times 0.025) = 206,955$

The other options provided are incorrect for the following reasons:

• Option A (USD 49,950) represents the cost of liquidation in a normal market scenario using the mean bid-offer spread only.
• Option B (USD 99,900) is incorrect because it fails to include the 0.5 factor in the liquidation calculation for a normal market.
• Option D (USD 413,910) is incorrect because it also does not include the 0.5 factor in the liquidation calculation but assumes a stressed market scenario.

This question relates to the section on Liquidity and Treasury Risk Management and Measurement, specifically focusing on explaining and calculating liquidity trading risk via cost of liquidation and liquidity-adjusted VaR (LVaR). The reference material is "John C. Hull, Risk Management and Financial Institutions, 5th Edition (Hoboken, NJ: John Wiley & Sons, 2018). Chapter 24. Liquidity Risk."