Question

A pool of mortgages contains 3.75%, 30-year loans with the total beginning balance of $100 million....

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.

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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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