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The MM Mortgage Company is issuing a CMO with three tranches. The A tranche will

ID: 2798635 • Letter: T

Question

The MM Mortgage Company is issuing a CMO with three tranches. The A tranche will consist of $50,000 with a coupon of 7%. The B tranche will be issued with a coupon of 8% and a principal of $25,000. The Z tranche will carry a coupon of 10% with a principal of $60,000. The mortgages backing the security issue were originated at a fixed rate of 10% with a maturity of 10 years (annual payments). The issue will be overcollateralized by $5,000, and the issuer will receive all net cash flows after priority payments are made to each class of securities. Priority payments will be made to the class A tranche and will include the promised coupon, all amortization from the mortgage pool, and interest that will be accrued to the Z class until the principal of $50,000 due to the A tranche is repaid. The B class securities will receive interest-only payments until the A class is repaid, and then will receive priority payments of amortization and accrued interest. The Z class will accrue interest at 10% until both A and B classes are repaid. It will receive current interest and principal payments at that time. Assume no prepayment of mortgages in the pool. Below are the cash flow information involved in this case.

LOAN SCHEDULE FOR MORTGAGE POOL

YEAR

Beg. Bal

Payment

Interest

Principal

End Bal

Prepayment

1

(A)

?

?

$8,784.36

?

0.00

2

?

?

13,121.56

$9,662.79

?

0.00

3

?

?

12,155.29

$10,629.07

110,923.78

0.00

4

110,923.78

?

11,092.38

$11,691.98

99,231.81

0.00

...

CLASS Z TRANCHE

Amount

$60,000

Rate

10.00%

YEAR

Beg. Bal

Interest

Total Payment

End Bal

1

$60,000.00

?

0.00

?

2

?

(B)

0.00

?

3

?

7,260.00

0.00

?

4

?

7,986.00

0.00

?

CLASS A TRANCHE

Amount

$50,000

Rate

7.00%

YEAR

Beg. Bal

Interest

Principal Payment

End Bal

1

$50,000.00

?

$14,784.36

$?

2

35,215.64

?

16,262.79

?

3

?

?

(C)

?

4

?

?

1,063.78

0.00

CLASS B TRANCHE

Amount

$25,000

Rate

8.00%

YEAR

Beg. Bal

Interest

Principal Payment

End Bal

1

$25,000.00

$2,000.00

?

$25,000.00

2

25,000.00

2,000.00

?

25,000.00

3

25,000.00

2,000.00

?

25,000.00

4

25,000.00

2,000.00

(D)

?

RESIDUAL CLASS

YEAR

Total in pool

Other Classes

Residual

-$5000

1

$22,784.36

?

(E)

What is the answer for blank (B) in the CLASS Z TRANCHE table above?

$6,300

$6,000

$7,000

$6,600

LOAN SCHEDULE FOR MORTGAGE POOL

YEAR

Beg. Bal

Payment

Interest

Principal

End Bal

Prepayment

1

(A)

?

?

$8,784.36

?

0.00

2

?

?

13,121.56

$9,662.79

?

0.00

3

?

?

12,155.29

$10,629.07

110,923.78

0.00

4

110,923.78

?

11,092.38

$11,691.98

99,231.81

0.00

...

Explanation / Answer

Option D: $6600

It is given in question that the interest will accrue as a part of the principal and compounded interest will be payable.

Beginning Balance Interest @ 10% Principal Payment Closing balance $60000 $6000 $0 $66000 $66000 $6600 $0 $72600 $72600 $7160 $0 $79860 $79600 $7986 $0 $87846
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