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You have been provided the information on the cost of debt and cost of capital t

ID: 2638651 • Letter: Y

Question

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 UNLEVERED BETA. The long term treasury bond rate is 6%. Assume the market risk premium is 6.9%.

Debt Ratio

10%

24%

$ Debt

$ 1,500

EBIT

$ 1,000

Interest Expenses

$120

Interest Coverage Ratio

5.13

Bond Rating

A

Interest Rate

5%

Tax Rate

40%

Beta

1.42

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%

Debt Ratio

10%

24%

$ Debt

$ 1,500

EBIT

$ 1,000

Interest Expenses

$120

Interest Coverage Ratio

5.13

Bond Rating

A

Interest Rate

5%

Tax Rate

40%

Beta

1.42

Explanation / Answer

Answer:

Calculation showing unlevered Beta:

Debt Ratio

10%

24%

$ Debt

$ 1,500

$3,600

EBIT

$ 1,000

$ 2,400

Interest Expenses

$120

$ 288

Interest Coverage Ratio

5.13

5.13

Bond Rating

A

A

Interest Rate

5%

5%

Tax Rate

40%

40%

Beta

1.42

3.40

Therefore, Unlevered Beta Is 3.40

Debt Ratio

10%

24%

$ Debt

$ 1,500

$3,600

EBIT

$ 1,000

$ 2,400

Interest Expenses

$120

$ 288

Interest Coverage Ratio

5.13

5.13

Bond Rating

A

A

Interest Rate

5%

5%

Tax Rate

40%

40%

Beta

1.42

3.40

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