A pool of mortgages contains 3.75%, 30-year loans with the total beginning balance of $100 million. The pool backs 75 principal-only (PO) shares and 97 interest-only (IO) shares. Monthly expenses and fees amount to 0.04% of the beginning-of-the-month balance (they are subtracted from the interest portion). In the first month, the total payments from the pool were $461.7 thousand. What was the cash flow per IO share (to the nearest dollar)? Assume no defaults.
Answer | ||
Cash Flow | ||
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Pool | 10,00,00,000 | |
Total Payment | 4,61,700 | |
Interest | 3.75% | Annual |
0.31 | Per Month | |
Interest Component | Begin Principal * 0.31% | |
= $10,00,00,000 * 0.31% | ||
3,10,000 | ||
Principal Received | $ 4,61,700 - $3,10,000 | |
1,51,700 | ||
Monthly expenses | 0.04% of Begin principal | |
40,000 | ||
Interest component (post monthly expenses) | = $3,10,000 - $40,000 | |
2,70,000 | ||
Interest attributable to IO Shares holder | 2,70,000 | |
Total IO Shares | 97 | |
Total PO Shares | 75 | |
Payment per IO Share | = 2,70 000/97 | $ 2,784 |
Payment Per PO Share | = 1,51,700/75 | $ 2,023 |
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