Question $9$ Consider a CMBS backed by a $80\%$ LTV loan of a $$50,000,000$ office building. The loan is interest only with an $8\%$ mortgage rate issued for $3$ years with monthly payments. The CMBS is issued with $37\mathrm{.}5\%$ subordination with a coupon rate on the senior tranche equal to $5\%$ and coupon rate on the junior tranche equal to $7\%.$ An interest only residual carrying no principal will be issued as well. Assume no default occurred. In month $35,$ how much did the residual tranche receive?