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CMO security offering with sequential annual pay tranches coupon rate amount issued Mortgage pool Mortgages $100,000,000 Class A Bonds 3.00$ $30,000,000 6% interest rate Class

CMO security offering with sequential annual pay tranches

coupon rate

amount issued

Mortgage pool

Mortgages

$100,000,000

Class A Bonds

3.00$

$30,000,000

6% interest rate

Class B Bonds

4.25%

$30,000,000

10 year maturity

Class Z Bonds

5.50%

$30,000,000

Total bonds

$90,000,000

Total assets

$100,000,000

Equity contribution by issuer

$10,000,000

Total debt and equity

$100,000,000

Rules of cash distributions to A, B and Z: interest is paid currently on tranches A and B, but it is not paid on tranche Z until principal on the other tranches is repaid. For tranche Z, interest will be accrued and accumulated into the investment balance. In addition, to ensure that the maturity of tranche A securities is kept relatively short, the interest accrued to tranche Z and all current principal and prepayments from the entire mortgage pool will be allocated to tranche A, and then to tranche B.

Questions

  1. [7 points] Suppose that there are no prepayment and no default, what are the cash flows for Class A, Class B and Class Z bonds? What is the IRR for the issuer?

  2. [8 points] Suppose that there are 15% prepayment and no default, what are the cash flows for Class A, Class B and Class Z bonds? What is the IRR for the issuer?

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