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A pool of mortgages contains 3%, 15-year loans with the total beginning balance of $100 million....

A pool of mortgages contains 3%, 15-year loans with the total beginning balance of $100 million. The pool backs 116 principal-only (PO) shares and 99 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 $713.3 thousand. What was the cash flow per PO share (to the nearest dollar)? Assume no defaults.

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Expert Solution

Pool                  100,000,000.00
Total Payment                           713,300.00
Interest 3% annual
0.25% Per Month
Interest Component Begin Principal*0.25%
                          250,000.00
Principal Received 713300-250000    463,300.00
monthly expenses .04% of begin principal      40,000.00
Interest component (post monthly expenses) 250000-40000    210,000.00
Interest attributable to IO Shares holder                           210,000.00
Total IO Shares 99
Total PO Shares 116
Payment per IO Share 210000/99              2,121
Payment Per PO Share 463300/116              3,994

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