Assume a bank lends $$100$ million to Company A for a period of $5$ years. The loan is secured by the corporate's building which is currently valued at $$60$ million. The bank's credit department has assigned a borrower rating of $5($with corresponding PD of $1\mathrm{.}35\%$ on the bank's rating scale$)$ and a facility rating of $E($which maps to a LGD of $45\%$ on the bank's scale$).$ How much capital would the bank need to set aside for the loan to Company A$?($Note: The bank has an internal credit rating system to rate its borrowers, with grade $1$ being the best and grade $10$ being the worst$/$highest risk. Each grade corresponds to a PD that the bank has calculated from its past experience. It also has a facility rating scale from $A$ to $H,$ with each grade corresponding to a specific LGD derived from the bank's own historical data. The bank calculates its capital requirements based on AIRB$).$ At the time of loan origination, find the capital requirement K using the AIRB formula.