Question
The Harrison originated a pool containing 40 ten-year fixed interest rate mortgages with an average balance of $50,000 each. All mortgages in the pool carry
The Harrison originated a pool containing 40 ten-year fixed interest rate mortgages with an average balance of $50,000 each. All mortgages in the pool carry a coupon of 10%. (For simplicity, assume that all mortgage payments are made annually at 10% interest.). Assume a constant annual prepayment rate of 10% (for simplicity, assume that prepayments are based on the pool balance at the end of the preceding year and begin at the end of year 1). Below is the pools cash flows:
Principal | Principal and |
| ||
End of | Pool | due to | Interest Pmts |
|
Year | Balance | Prepayment | to Issuer |
|
1 | 1,674,509 | 200,000 | 325,491 |
|
2 | 1,383,747 | 167,451 | 290,763 |
|
3 | 1,124,372 | 138,375 | 259,375 |
|
4 | 893,419 | 112,437 | 230,952 |
|
5 | 688,284 | 89,342 | 205,136 |
|
6 | 506,716 | 68,828 | 181,568 |
|
7 | 346,862 | 50,672 | 159,854 |
|
8 | 207,384 | 34,686 | 139,478 |
|
9 | 87,891 | 20,738 | 119,493 |
|
10 | 0 | 0 | (A) |
|
What is the answer for the blank (A) in the table above?
a. | $119,493 | |
b. | 108,235 | |
c. | $96,680 | |
d. | $0.000 |
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