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debt Ratio 10% 19% $ Debt $ 1,500 EBIT $ 1,000 Interest Expenses $120 Interest C

ID: 2638648 • Letter: D

Question

debt Ratio

10%

19%

$ Debt

$ 1,500

EBIT

$ 1,000

Interest Expenses

$120

Interest Coverage Ratio

5.32

Bond Rating

A

Interest Rate

5%

Tax Rate

40%

Beta

1.35

The interest coverage ratios, ratings and spreads are as follows:

Coverage Ratio

Rating

Spread over Treasury

> 10

AAA

0.30%

7 -10

AA

1.00%

5 - 7

A

1.50%

3 - 5

BBB

2.00%

2- 3

BB

2.50%

1.25 - 2

B

3.00%

0.75 - 1.25

CCC

5.00%

0.50 - 0.75

CC

6.50%

0.25 - 0.50

C

8.00%

< 0.25

D

10.00%

You have been provided the information on the cost of debt and cost of capital that a company will have at a 10% debt ratio, and asked to estimate the weighed after tax cost of debt at 19%. The long term treasury bond rate is 6%. Assume the market risk premium is 6.9%.

debt Ratio

10%

19%

$ Debt

$ 1,500

EBIT

$ 1,000

Interest Expenses

$120

Interest Coverage Ratio

5.32

Bond Rating

A

Interest Rate

5%

Tax Rate

40%

Beta

1.35

Explanation / Answer

Interest covergae = EBIT / Interest

Existing: 5.32 = EBIT / 120

EBIT = 5.32 * 120 = 638.40

Revised Interest cost at 19% debt level = 120 * 19 / 10 = 228

Revised interest coverage = 638.40 / 228 = 2.80

Therefore spread over T bond = 2.50% (Adopted from table given in the question)

Coupon rate on bond = 6% + 2.5% = 8.5%

Cost of debt = Rate * (1-T)

= 8.50% * (1-.40)

= 5.10%

Weighed after tax cost of debt at 19%:

= 5.10% * 0.19

= 0.97%