1a-c. Suppose we have a new type of MBS to accommodate the short term investor. This new MBS security instrument contains only 5 year mortgages (in reality are rare if non existent.) ACME, a private secondary market, has pooled together ten $100,000 5 year mortgage loans.

Calculate the duration for this MBS pool assuming compounding for three years at 10 percent interest which:

a. is a "zero coupon"

b. is an interest only MBS

c. is fully amortizable over the five years.

2.Now assume that the interest only MBS in problem 1b. is prepayable (but not defaultable). Use the option theoretic model to price this MBS. Interest rates have a 50% chance of going up 1% each year and a 50% chance of going down 1% each year. From your results, qualitatively compare the MBS value without prepayment to the MBS value with prepayment.