The Home Loan Corp, Inc (HLC) originates a pool containing 100 five year mortgages,
with an average balance of $150,000 each. All mortgages in the pool carry a fixed interest
rate of 6% (assume all payments are made annually). HLC now wishes to sell the pool of
mortgages to the FHLMC. Assuming prepayments are constant at 10% (of the mortgage pool balance at the
end of the previous year), what is the price of the pool of mortgages if prepayments fell to zero and the FHLMC wishes to obtain a rate of return equal to 9% instead?
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