Cost of Capital and Component Costs6 min
The Weighted Average Cost of Capital (WACC) represents the average rate of return a company must pay to its security holders to finance its assets. It is calculated by weighting the cost of each capital component—equity, preferred stock, and debt—by its proportion in the firm's target capital structure. The cost of debt is the yield to maturity on existing debt, adjusted for the tax shield ($K_d(1-t)$), because interest payments reduce taxable income. If market prices are unavailable, matrix pricing or rating-based approaches are used. The cost of preferred stock is simply the preferred dividend divided by the market price. The cost of equity is more complex and can be estimated using CAPM, which accounts for systematic risk via beta; the Dividend Discount Model (Gordon Growth Model), which relies on dividend forecasts and growth rates; or the bond yield plus risk premium method.

Key Points

  • WACC is the weighted average of the marginal costs of equity, debt, and preferred stock.
  • Interest on debt provides a tax shield, reducing the effective cost of debt.
  • Cost of Equity can be estimated via CAPM, DDM, or Bond Yield + Risk Premium.
  • Market values, not book values, should be used for determining weights.
Capital Structure Theories: Modigliani-Miller and Trade-Offs6 min
Capital structure theory attempts to explain how firm value changes with the mix of debt and equity. The Modigliani-Miller (MM) Proposition I (No Taxes) states that in a perfect market, a firm's value is independent of its capital structure ($V_L = V_U$). MM Proposition II (No Taxes) adds that the cost of equity increases linearly with leverage, offsetting the benefit of cheaper debt. When corporate taxes are introduced, MM Proposition I changes to suggest that firm value increases with leverage due to the interest tax shield ($V_L = V_U + t \times d$), theoretically maximizing value at 100 percent debt. The Static Trade-Off Theory balances this tax benefit against the costs of financial distress (bankruptcy costs), implying an optimal debt level where firm value is maximized before distress costs erode the tax advantages.

Key Points

  • MM Prop I (No Taxes): Capital structure is irrelevant to firm value.
  • MM Prop I (With Taxes): Firm value increases with debt due to the tax shield.
  • Static Trade-Off Theory: Optimal capital structure balances tax shields vs. financial distress costs.
  • Financial distress costs reduce the value of levered firms at high debt levels.
Additional Theories and Practical Considerations5 min
Beyond MM and trade-off theories, other frameworks explain financing behavior. The Pecking Order Theory suggests managers prefer internal financing first, followed by debt, and finally equity, to avoid the negative signaling associated with issuing new shares (asymmetric information). The Free Cash Flow Hypothesis argues that high debt levels discipline managers by reducing the free cash flow available for wasteful spending. Floatation costs, the fees paid to investment banks when issuing new securities, should be treated as an initial cash outflow in capital budgeting analysis rather than adjusting the cost of capital. Finally, a firm's life cycle stage impacts its capital structure; start-ups with negative cash flows and high risk rely on equity, while mature firms with predictable cash flows can support higher debt levels.

Key Points

  • Pecking Order Theory: Internal funds > Debt > Equity.
  • Signaling: Equity issuance often signals overvaluation, causing stock price drops.
  • Free Cash Flow Hypothesis: Debt disciplines management by committing cash flow to interest payments.
  • Floatation costs should be deducted from initial cash flows, not added to the WACC.

Questions

Question 1

Which of the following best describes the Weighted Average Cost of Capital (WACC)?

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Question 2

Why is the cost of debt adjusted for taxes in the WACC calculation?

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Question 3

A company has a target capital structure of 40 percent debt and 60 percent equity. The pre-tax cost of debt is 8 percent, the cost of equity is 12 percent, and the tax rate is 25 percent. What is the WACC?

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Question 4

Which method estimates the before-tax cost of debt by using the YTM on comparably rated bonds?

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Question 5

How is the Cost of Preferred Stock calculated?

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Question 6

According to the Capital Asset Pricing Model (CAPM), the cost of equity is equal to:

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Question 7

In the Gordon Growth Model, how is the sustainable growth rate (g) typically estimated?

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Question 8

What is the 'Bond yield plus risk premium' approach for estimating the cost of equity?

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Question 9

What is the correct treatment of floatation costs when analyzing a capital project?

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Question 10

According to the Modigliani-Miller Proposition I (No Taxes), what is the relationship between leverage and firm value?

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Question 11

Under MM Proposition II (No Taxes), how does the cost of equity behave as debt increases?

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Question 12

In the MM world with taxes, firm value is maximized at which level of debt?

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Question 13

What does the Static Trade-Off Theory assume about optimal capital structure?

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Question 14

What is the 'Pecking Order Theory' preference hierarchy?

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Question 15

What does the 'Free Cash Flow Hypothesis' suggest about debt?

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Question 16

Which of the following is an assumption of the Modigliani-Miller propositions?

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Question 17

How does the life cycle stage 'Start-up' affect capital structure?

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Question 18

A firm has 2 million EUR in debt with a YTM of 5 percent and 3 million EUR in equity with a cost of 10 percent. The tax rate is 30 percent. What is the WACC?

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Question 19

Under the signaling model, what interpretation do investors usually give to a seasoned equity offering?

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Question 20

What is 'Operating Leverage' primarily associated with?

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Question 21

In the context of the life cycle, which stage typically exhibits 'Positive and Predictable' cash flows and 'Low' business risk?

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Question 22

Which of the following describes 'Financial Leverage'?

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Question 23

If a company has a Beta of 1.5, the Risk-Free Rate is 3 percent, and the Market Risk Premium is 6 percent, what is the Cost of Equity using CAPM?

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Question 24

A stock pays a dividend of 2.00 EUR next year ($D_1$). The current price is 40.00 EUR. The expected growth rate is 5 percent. What is the cost of equity?

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Question 25

Which component of capital usually has the lowest effective cost?

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Question 26

What does MM Proposition I (With Taxes) imply about the value of the levered firm ($V_L$) versus the unlevered firm ($V_U$)?

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Question 27

In the 'Debt-Rating Approach' for cost of debt, what is the primary benchmark used?

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Question 28

How does inflation affect the cost of capital analysis?

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Question 29

What is the primary focus of 'Shareholder Theory' in corporate governance regarding capital structure?

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Question 30

Which factor creates a conflict between shareholders and creditors?

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Question 31

The tax shield of interest payments is calculated as:

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Question 32

In the formula for WACC, what do the weights represent?

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Question 33

What is 'Asymmetric Information' in the context of capital structure?

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Question 34

A company has a Retention Ratio of 60 percent and an ROE of 15 percent. What is the expected growth rate (g)?

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Question 35

Under MM Proposition II (With Taxes), the WACC is minimized at:

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Question 36

Which of the following is considered a 'Financial Intermediary' source of funding?

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Question 37

What is the formula for 'Cost of Debt' ($K_d$) using the YTM approach?

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Question 38

In the context of the Life Cycle, how is 'Business Risk' characterized during the 'Growth' stage?

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Question 39

Which capital structure theory emphasizes the role of debt in preventing managers from wasting cash?

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Question 40

Under the 'Debt-Rating Approach', how is the cost of debt estimated?

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Question 41

What does a company with 'negative' cash flow and 'high' business risk typically use for funding?

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Question 42

If a company has 10 million EUR in Preferred Stock priced at 100 EUR paying a 5 EUR dividend, what is the cost of preferred stock?

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Question 43

In the Static Trade-Off Theory graph, what happens to the value of the levered firm as debt increases beyond the optimal point?

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Question 44

When calculating WACC, what happens if the tax rate increases?

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Question 45

What is the formula for 'Cost of Equity' ($K_e$) using MM Proposition II (No Taxes)?

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Question 46

Which of the following is an example of an agency cost of equity?

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Question 47

What type of financing is typical for a 'Mature' company?

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Question 48

What does the 'Market Risk Premium' represent in CAPM?

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Question 49

Which approach to Cost of Equity is known as an 'ad hoc approach'?

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Question 50

Why do floatation costs not affect the Cost of Equity ($K_e$) directly?

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