Assume a hedge fund invested in some illiquid stocks. Particularly the fund has $50$ shares of X$,$ which is bid $42$ and offer $54,$ and $100$ shares of Y$,$ which is bid $27$ and offer $33.$ What are the proportional bid$$offer spreads? If the bid$$offer spreads are normally distributed with a standard deviation of $4\mathrm{.}8$ for both shares. Calculate the cost of liquidation in a stressed market at the $99\%$ confidence level.