Suppose WAC for the underlying mortgage for a pass-through is 9%. The pass-through rate is 8% with a WAM of 360 months. The par value of the mortgage is $500 million. Assume that in month 30 the beginning balance is 337,568,221 and the total principal payment in month 30 is $2,793,137. Answer the following questions:

1. Compute the single-month mortality rate in month 31 assuming the annual conditional prepayment rate in the month is 9%.

2. Calculate mortgage payment for month 31.

3. Calculate i) scheduled principal payment in month 31, ii) prepayment in month 31, and iii) beginning balance in month 32.