Question: 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. 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. 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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