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Consider a CMBS backed by a 8 0 % LTV loan of a $ 5 0 , 0 0 0 , 0 0 0 office

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 37.5% 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 (Same as Question 9). Suppose that in month 30 the borrower defaults on the underlying loan. After foreclosure 80% of property value is recouped. How much does tranche B receive in month 30? Assume that all the interest was paid for the month of default.

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