Give me an example of A mortgage pass-through (PT) with par value=$100,000, a 7% coupon...

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Finance

Give me an example of A mortgage pass-through (PT) with par value=$100,000, a 7% coupon (which
equals the rate on the underlying mortgages) on a 15 year mortgage pool. The
current market is 7% and prepayments at this rate equal $31 per month. At this
prepayment rate, the PT will be paid off in month 170. The required mortgage
payment for the $100,000,15 year mortgage at 7% is $899 and the amount
received on the PT is $930=899+31.
b. An annuity with a monthly payment of $930 per month for 170 months.
At an interest rate of 7%, the price of both securities is $100,117, so that we are
indifferent between the two.
1. Suppose interest rates rise to 8% and that there are no prepayments at this
rate. What is the payment on the PT and the life of the PT? What happens
to the value of the PT versus the value of the annuity?
2. Suppose interest rates fall to 6% and that prepayments rise to $51 per
month. What is the payment on the PT and the life of the PT? What
happens to the value of the PT versus the value of the annuity?

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