Problem 4-4 Compano inc. was founded in 1986 in Baytown, Texas. The firm provide
ID: 2613325 • Letter: P
Question
Problem 4-4
Compano inc. was founded in 1986 in Baytown, Texas. The firm provides oil-field services to the Texas Gulf Coast region, including the leasing of drilling barges. Its balance sheet for year-end 2006 describes a firm with 830,541,000 in assets (book values) and invested capital of more than 1.334 billion (based on market values).
December 31, 2006
Liabilities and owner’s capital Balance sheet Invested Capital
(Book value) (Market values)
Current Liabilities
Accounts Payable 8,250,000
Notes payable 0 0
Other current liabilities 7,266,000
Total current liabilities 15,516,000
Long term debt (8.5% interest paid
Semiannually, due in 2015) 420,000,000 434,091,171
Total liabilities 435,516,000 434,091,171
Owners’ capital
Common stock ($1 par value per share) 40,000,000
Paid in capital 100,025,000
Accumulated earnings 255,000,000
Total owners’ capital 395,025,000
Total liabilities and owners’ capital 830,541,000 1,334,091,171
Compano’s executive management team is concerned that its new investments be required to meet an appropriate cost of capital hurdle before capital is committed. Consequently, the firm’s CFO has initiated a cost of capital study by one of his senior financial analysts, Jim Tipolli. Jim’s first action was to contact the firm’s investment banker to get input on current capital costs.
Jim learned that although the firm’s current debt capital required an 8.5% coupon rate of interest (with annual interest payments and no principal repayments until 2015), the current yield on similar debt had declined to 8% if the firm were to raise debt funds today. When he asked about the beta for compano’s debt, Jim was told that it was standard practice to assume a beta of .30 for the corporate debt of firms such as Compano.
A) What are Compano’svcapital structure weights for debt and equity that should be used to compute its cost of capital?
B) Based on Compano’s corporate income tax rate of 40%, the firm’s mix of debt and equity financing, and an unlevered beta estimate of .90. What is Compano’s levered equity beta?
C) Assuming a long term U.S. Treasury bond yield of 5.42% and an estimated market risk premium of 5%, what should Jim’s estimate of Compano’s cost of equity be if he uses CAPM?
D) What is your estimate of Compano’s WACC?
Explanation / Answer
A.
Compano’s capital structure weights for Debt = Mkt value of Debt / ( Mkt value of Debt + Mkt value of Equity )
Compano’s capital structure weights for Equity = Mkt value of Equity / ( Mkt value of Debt + Mkt value of Equity )
Mkt value of Long term debt = 434,091,171
Therefore, Mkt value of Debt = 434,091,171 (As Short term Debt is 0)
Mkt value of Equity = Mkt value of Total Inv Cap - Mkt value of Total Debt = 1,334,091,171 - 434,091,171
= 900,000,000
Therefore, Compano’s capital structure weights for Debt = 434,091,171 / 1,334,091,171 = 0.325
Therefore, Compano’s capital structure weights for Equity = 900,000,000 / 1,334,091,171 = 0.675 ( or 1 - Weight of Debt )
B.
Levered equity beta takes into consideration the effect of the firm's leverage on the unlevered beta (a pure play business beta) of the company. Therefore, levered equity beta is given as,
Levered Equity Beta = Unlevered Equity Beta * ( 1 + ( ( 1 – Tax Rate ) * ( Debt / Equity) ) )
= 0.9 * ( 1 + ( ( 1 - 40% ) * ( MV of Debt / MV of Equity ) ) )
= 0.9 * ( 1 + ( ( 1 - 40% ) * ( 434,091,171 / 900,000,000 ) ) )
= 1.16
Therefore Compano's levered equity beta will be 1.16
C.
The cost of equity using CAPM model is given as,
Cost of equity = Risk Free Rate + Beta * Market Risk Premium
Where,
Risk Free Rate = Long Term US Treasury Bond Yield ( Assuming T Bonds are Risk Free )
Beta = Compano's levered equity beta = 1.16 ( computed in step b )
Estimated Market Risk Premium = Expected Return on the Market (in which Compano operates) - Risk Free Rate
Therefore,
Compano's cost of equity = 5.42% + 1.16 * 5% = 11.22%
D.
Compano's Weighted Average Cost of Capital = Weight for debt * Cost of Debt * ( 1 - tax rate ) +
Weight for equity * Cost of Equity
Capital Structure weight for debt = 0.325 ( computed in step A )
Capital Structure weight for equity = 0.675 ( computed in step A )
Cost of Debt = Current yield on compano's debt = 8%
Cost of Equity = 11.22% ( computed in step C )
Tax Rate = 40%
Therefore,
Compano's Weighted Average Cost of Capital = 0.325 * 8% * ( 1 - 40% ) + 0.675 * 11.22% = 9.13%
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