Podcast
Questions and Answers
According to Modigliani-Miller Proposition 1, which of the following scenarios would NOT lead to a change in a firm's total market value?
According to Modigliani-Miller Proposition 1, which of the following scenarios would NOT lead to a change in a firm's total market value?
- An unexpected technological breakthrough that significantly reduces production costs.
- A shift in investor sentiment due to macroeconomic announcements.
- The discovery of a major accounting fraud that leads to a restatement of earnings.
- A change in the firm's capital structure through a debt-for-equity swap in a perfect market. (correct)
A company is considering a project with an initial investment of $2,000,000. The project is expected to generate cash flows of either $3,000,000 or $1,500,000 next year, with each outcome being equally likely. The risk-free rate is 4%, and the company demands a 12% risk premium for this project. If the company finances the project entirely with equity, what is the maximum price they should be willing to pay for the project?
A company is considering a project with an initial investment of $2,000,000. The project is expected to generate cash flows of either $3,000,000 or $1,500,000 next year, with each outcome being equally likely. The risk-free rate is 4%, and the company demands a 12% risk premium for this project. If the company finances the project entirely with equity, what is the maximum price they should be willing to pay for the project?
- $1,000,000
- $928,571
- $2,000,000
- $1,928,571 (correct)
A firm is evaluating a project with an expected unlevered return of 18%. They are considering financing the project with $800,000 of debt at a cost of 6%. According to MM Proposition 2 without taxes, what would be the expected return on equity if the total value of the levered firm is $2,000,000?
A firm is evaluating a project with an expected unlevered return of 18%. They are considering financing the project with $800,000 of debt at a cost of 6%. According to MM Proposition 2 without taxes, what would be the expected return on equity if the total value of the levered firm is $2,000,000?
- 24.0% (correct)
- 30.0%
- 28.0%
- 20.0%
According to Modigliani-Miller Proposition 2 (without taxes), what is the relationship between a firm's debt-to-equity ratio and the cost of its levered equity?
According to Modigliani-Miller Proposition 2 (without taxes), what is the relationship between a firm's debt-to-equity ratio and the cost of its levered equity?
A company with a debt-to-equity ratio of 0.8 is considering a new capital structure that would result in a debt-to-equity ratio of 1.2. According to MM Proposition 2 (without taxes), what must occur to the firm's cost of equity, and why?
A company with a debt-to-equity ratio of 0.8 is considering a new capital structure that would result in a debt-to-equity ratio of 1.2. According to MM Proposition 2 (without taxes), what must occur to the firm's cost of equity, and why?
Why might an individual investor choose to replicate the effects of leverage on their own, rather than investing in a company that has already implemented leverage?
Why might an individual investor choose to replicate the effects of leverage on their own, rather than investing in a company that has already implemented leverage?
A firm is financed with both debt and equity. The returns to equity holders are significantly higher than those of unlevered equity. What are the possible outcomes of increasing financial leverage, and why do companies carefully balance debt and equity?
A firm is financed with both debt and equity. The returns to equity holders are significantly higher than those of unlevered equity. What are the possible outcomes of increasing financial leverage, and why do companies carefully balance debt and equity?
How does systematic risk impact risk premiums for unlevered equity, levered equity, and debt?
How does systematic risk impact risk premiums for unlevered equity, levered equity, and debt?
Consider a company deciding whether to borrow debt. What is an optimal leverage ratio?
Consider a company deciding whether to borrow debt. What is an optimal leverage ratio?
A firm is evaluating a capital structure change that involves increasing its debt-to-equity ratio. According to Modigliani-Miller Proposition 2 (without taxes), what is the MOST LIKELY impact on the firm's weighted average cost of capital (WACC)?
A firm is evaluating a capital structure change that involves increasing its debt-to-equity ratio. According to Modigliani-Miller Proposition 2 (without taxes), what is the MOST LIKELY impact on the firm's weighted average cost of capital (WACC)?
What does research indicate about the characteristics of firms that tend to have higher levels of leverage?
What does research indicate about the characteristics of firms that tend to have higher levels of leverage?
In an efficient market, according to Titman (2002), why would a firm's financing choice be considered irrelevant?
In an efficient market, according to Titman (2002), why would a firm's financing choice be considered irrelevant?
Assuming no other factors are at play, what would happen if two markets are integrated, but exhibit an imbalance?
Assuming no other factors are at play, what would happen if two markets are integrated, but exhibit an imbalance?
In the context of Modigliani-Miller (MM) propositions and market efficiency, which statement accurately reflects the interaction between the two?
In the context of Modigliani-Miller (MM) propositions and market efficiency, which statement accurately reflects the interaction between the two?
According to MM Proposition 2, what is the relationship between levered equity's cost of capital and the cost of capital of unlevered equity in a market with no taxes?
According to MM Proposition 2, what is the relationship between levered equity's cost of capital and the cost of capital of unlevered equity in a market with no taxes?
How is firm risk measured, and if a company raises more debt, what component of risk directly increases?
How is firm risk measured, and if a company raises more debt, what component of risk directly increases?
Consider a corporation that issues equity and uses the proceeds to repay a substantial amount of debt, significantly reducing its debt-equity ratio. According to perfect capital markets theory, what effect will this capital structure transaction have on the corporation's equity cost of capital and weighted average cost of capital (WACC)?
Consider a corporation that issues equity and uses the proceeds to repay a substantial amount of debt, significantly reducing its debt-equity ratio. According to perfect capital markets theory, what effect will this capital structure transaction have on the corporation's equity cost of capital and weighted average cost of capital (WACC)?
If a firm has perfect capital markets, what will happen to a firm's equity cost of capital and WACC as it borrows at a low cost of capital for debt?
If a firm has perfect capital markets, what will happen to a firm's equity cost of capital and WACC as it borrows at a low cost of capital for debt?
When analyzing Coca-Cola's balance sheet and a change in its capital structure (buying back debt), what real-world conclusion can be drawn about the impact of such decisions?
When analyzing Coca-Cola's balance sheet and a change in its capital structure (buying back debt), what real-world conclusion can be drawn about the impact of such decisions?
How can the effect of leverage on the risk of a firm’s securities be expressed, and what financial ratio provides insights into this risk?
How can the effect of leverage on the risk of a firm’s securities be expressed, and what financial ratio provides insights into this risk?
According to MM, what principle implies that any financial transaction that appears to be a good deal may exploit some type of market imperfection?
According to MM, what principle implies that any financial transaction that appears to be a good deal may exploit some type of market imperfection?
Under what condition does the WACC of a firm equal its equity cost of capital?
Under what condition does the WACC of a firm equal its equity cost of capital?
In the context of capital structure, what is the significance of 'asset tangibility,' and how does it typically influence a firm's leverage?
In the context of capital structure, what is the significance of 'asset tangibility,' and how does it typically influence a firm's leverage?
What is the primary argument of Titman (2002) regarding financing choice in the context of Modigliani-Miller (MM) theory?
What is the primary argument of Titman (2002) regarding financing choice in the context of Modigliani-Miller (MM) theory?
What actions did firms and financial intermediaries take in response to the imbalance in Hong Kong’s market in the 1980s, and which response proved more efficient?
What actions did firms and financial intermediaries take in response to the imbalance in Hong Kong’s market in the 1980s, and which response proved more efficient?
What is required for MM propositions to hold, and how must markets operate for these propositions to remain valid?
What is required for MM propositions to hold, and how must markets operate for these propositions to remain valid?
Coca-Cola's capital structure changes impacted both the debt-to-equity ratio and the costs of debt and equity. How does perfect capital markets theory explain the overall effect on WACC?
Coca-Cola's capital structure changes impacted both the debt-to-equity ratio and the costs of debt and equity. How does perfect capital markets theory explain the overall effect on WACC?
Given the Conservation of Value Principle for Financial Markets, how do financial transactions typically function in perfect capital markets?
Given the Conservation of Value Principle for Financial Markets, how do financial transactions typically function in perfect capital markets?
If a firm is entirely equity-financed (unlevered), how does this capital structure affect the relationship between its assets and equity holders under MM propositions?
If a firm is entirely equity-financed (unlevered), how does this capital structure affect the relationship between its assets and equity holders under MM propositions?
What is the primary reason it is challenging to definitively prove that $V(L) = V(U)$ in real-world conditions?
What is the primary reason it is challenging to definitively prove that $V(L) = V(U)$ in real-world conditions?
How has the issuer of warrants evolved over time in the Hong Kong market, and what does this shift indicate about market efficiency?
How has the issuer of warrants evolved over time in the Hong Kong market, and what does this shift indicate about market efficiency?
According to a visual representation of MM Proposition 2 and WACC, what happens to the cost of debt (Rd) as a company raises a reasonable level of debt?
According to a visual representation of MM Proposition 2 and WACC, what happens to the cost of debt (Rd) as a company raises a reasonable level of debt?
A firm's equity beta has a positive association with the company's debt-to-equity (D/E) ratio. What does this imply about the systematic risk of the company when it raises more debt?
A firm's equity beta has a positive association with the company's debt-to-equity (D/E) ratio. What does this imply about the systematic risk of the company when it raises more debt?
Debt policy can matter for firm value due to a key underlying factor. Which of the following concepts helps explain why debt policy matters?
Debt policy can matter for firm value due to a key underlying factor. Which of the following concepts helps explain why debt policy matters?
A business generates consistent profits annually but opts for less leverage, according to empirical research. Why?
A business generates consistent profits annually but opts for less leverage, according to empirical research. Why?
Beta measures systematic risk, which defines the risk type experienced and if a company's beta is 1.5, how would that be systematically defined?
Beta measures systematic risk, which defines the risk type experienced and if a company's beta is 1.5, how would that be systematically defined?
Suppose a firm is considering a capital structure change. According to the Modigliani-Miller Proposition 1, under which condition would changes to the debt-to-equity ratio have NO impact on the firm's total value?
Suppose a firm is considering a capital structure change. According to the Modigliani-Miller Proposition 1, under which condition would changes to the debt-to-equity ratio have NO impact on the firm's total value?
Consider two firms with identical operating incomes and business risk. Firm A is unlevered, while Firm B has a significant amount of debt in its capital structure. Which statement accurately describes how the returns on equity would differ between the two firms, according to MM Proposition 2 without taxes?
Consider two firms with identical operating incomes and business risk. Firm A is unlevered, while Firm B has a significant amount of debt in its capital structure. Which statement accurately describes how the returns on equity would differ between the two firms, according to MM Proposition 2 without taxes?
A company is evaluating a project that can be financed with either all equity or a mix of debt and equity. If the company chooses to introduce debt into its capital structure, what is the MOST LIKELY impact on the weighted average cost of capital (WACC) in a market with perfect capital markets?
A company is evaluating a project that can be financed with either all equity or a mix of debt and equity. If the company chooses to introduce debt into its capital structure, what is the MOST LIKELY impact on the weighted average cost of capital (WACC) in a market with perfect capital markets?
What critical assumption underlies Modigliani-Miller's argument that, in perfect capital markets, homemade leverage can allow investors to achieve the same risk-return profile regardless of a firm's capital structure?
What critical assumption underlies Modigliani-Miller's argument that, in perfect capital markets, homemade leverage can allow investors to achieve the same risk-return profile regardless of a firm's capital structure?
In a market where financial transactions neither add nor destroy value, but merely repackage risk and return, what does the Conservation of Value Principle suggest about any financial transaction that appears to offer unusually high returns?
In a market where financial transactions neither add nor destroy value, but merely repackage risk and return, what does the Conservation of Value Principle suggest about any financial transaction that appears to offer unusually high returns?
Flashcards
MM Proposition 1
MM Proposition 1
In a perfect market, a firm's market value is independent of its capital structure.
MM Model Assumptions
MM Model Assumptions
No taxes, no financial distress costs, homogeneous expectations, perfect markets, equal borrowing/lending rates, no agency costs, independent financing/investing.
Levered Equity
Levered Equity
Equity in a firm that also has debt outstanding.
Leverage and Risk
Leverage and Risk
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Risk Premium
Risk Premium
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Systematic Risk
Systematic Risk
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Unlevered Beta
Unlevered Beta
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Conservation of Value Principle
Conservation of Value Principle
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Why Debt Policy Matters
Why Debt Policy Matters
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Efficiency Requires Integration
Efficiency Requires Integration
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Market Efficiency and MM
Market Efficiency and MM
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MM Proposition 2
MM Proposition 2
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MM II - Cost of Equity
MM II - Cost of Equity
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WACC
WACC
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WACC with Perfect Capital Markets
WACC with Perfect Capital Markets
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Beta
Beta
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Ru
Ru
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Study Notes
MM Proposition 1
- The market value of a firm (share price) remains unaffected by its capital structure in a perfect market.
- Perfect market conditions include no taxes, transaction costs, information asymmetry, or arbitrage.
- Firm value is determined by its ability to generate cash flows, irrespective of whether debt or equity finances it.
- Example: Two firms with identical ability to generate cashflows, but one is financed with debt and equity and the other is financed by equity alone should have the same total value.
Assumptions of the MM Model
- No taxes on corporate or personal level.
- No costs associated with financial distress.
- Homogeneous expectations among investors regarding future cash flows, meaning no information asymmetry.
- Bonds and stocks trade in perfect markets.
- Investors can borrow and lend at the same rate.
- No agency costs for debt or equity.
- Financing and investment decisions are independent.
Financing with Equity (Unlevered)
- Project requires an initial investment of $800.
- Potential future cash flows are $1,400 in a strong economy or $900 in a weak economy, with both scenarios being equally likely.
- A 10% risk premium is demanded due to market risk, with a risk-free interest rate of 5%.
- Expected Cash Flow = 0.5 * $1,400 + 0.5 * $900 = $1,150.
- Cost of Capital = 15%.
- NPV = -$800 + ($1,150 / 1.15) = $200.
- Maximum willingness to pay for the project = $1,000.
Unlevered Equity
- Unlevered equity means zero debt.
- Cash flows of unlevered equity are the same as the project cash flows.
- Returns to shareholders are either 40% or -10%.
- Expected Return = 0.5 * 40% + 0.5 * (-10%) = 15%.
Financing with Debt and Equity (Leveraged)
- Borrow $500 initially in addition to selling equity.
- Debt is risk-free and can be borrowed at a 5% risk-free interest rate.
- Total repayment amount = $500 * 1.05 = $525.
- Equity in a firm that also has debt outstanding is levered equity.
- Shareholders receive $875 in a strong economy and $375 in a weak economy after debt repayment.
Leveraged Equity
- Combined value of debt and equity should equal $1,000 due to the Law of One Price.
- Value of levered equity = $1,000 - $500 = $500.
- Leveraged equity sells for a lower price ($500 versus $1,000 for unlevered equity) due to smaller cash flows.
- Indifference between capital structure choices for the firm.
Effect of Leverage on Risk and Return
- Leverage increases the risk of the equity of a firm.
- Discount rate for unlevered equity is not appropriate for levered equity.
- Investors in levered equity expect a higher return to compensate for increased risk.
- Returns to equity holders differ with and without leverage.
- Unlevered equity return is either 40% or -10%, with an expected return of 15%.
- Levered equity return is either 75% or -25%.
- Expected return for levered equity = 0.5 * 75% + 0.5 * (-25%) = 25%.
Choosing Debt
- Balance debt and equity to maximize returns without excessive risk.
- Benefit of debt leads to a tax benefit.
- Optimal leverage ratio = PV of all benefits = PV of all costs of debt.
Systematic Risk and Risk Premiums
- Risk premium compensates for additional risk.
- Systematic risk is risk from the market
- Debt's return bears no systematic risk, hence its risk premium is zero.
- Levered equity has twice the systematic risk of unlevered equity.
Unlevered vs Levered Equity Case
- Borrowing $5,000 increases the standard deviation of returns.
- EPS has the highest standard deviation.
- Investors can replicate by borrowing personal funds even when a company is unlevered.
- An individual investor with a levered perspective can replicate the same EPS and returns from a company who doesn't borrow debt.
MM Proposition 2
- Cost of equity increases as a company raises debt.
Cost of Equity/Return on Equity
- Return on unlevered equity (Ru) is related to returns of levered equity (Re) and debt (Rd).
- Higher D/E ratio results in a higher return on Levered Equity.
- Positive association between Re and D/E.
MM Proposition Example
- Unlevered equity return = 15%.
- Debt = $500.
- Equity = $500.
- Debt return = 5%.
- Re = Ru + (D/E) * (Ru - Rd) = 15% + (500/500) * (15% - 5%) = 25%.
- Ru = Ra, meaning that unlevered firms equity return = asset return
WACC/Weight Average Cost of Capital
- With leverage, project Ra is equal to the firm’s WACC.
- WACC (no taxes): WACC = (E/V) * Re + (D/V) * Rd.
- In perfect capital markets, WACC is independent of capital structure.
WACC and Leverage
- Only time the Cost of Debt (Rd) changes is if the company is highly leveraged, which will be met with higher interest to protect them.
- WACC does not change, equity or debt increases/decreases.
- The default rate increases and return on equity increases as the company raises too much debt,
WACC Visual Representation
- Expected exam questions will be related to WACC or Re.
- In a perfect market, WACC does not change.
WACC Example with Coke
- Current WACC = 30.44% * 7.50% + 69.56% * 2.50% = 4.02%.
- New WACC = 6.63% * 46.51% + 1.75% * 53.49% = 4.02%.
- WACC remains constant in a perfect market, regardless of changes to debt, equity ratios, or cost of debt/equity.
Levered and Unlevered Betas
- Leverage affects the risk of a firm’s securities, expressed through beta.
- Unlevered Beta: The beta of the firm’s assets.
- Equity Beta has positive association with D/E Ratio.
- Equity Beta increases when the the systematic risk of the company increases
- Bd = 0 (because debt is risk-free/no systematic risk)
MM - Beyond the Propositions
- Conservation of Value Principle: In perfect capital markets, financial transactions neither add nor destroy value, but instead repackage risk and return.
- Financial transactions that seem beneficial may exploit market imperfections.
- In a perfect market, WACC remains constant, but risk changes based on cost of equity and systematic risk.
Is V(L) = V(U) in practice?
- Hard to directly test due to difficulty in comparing firms with identical asset structures but different capital structures.
- Empirical research shows correlations between leverage and industry, growth, asset tangibility, profits, firm size, and dividends.
- It cannot be proven because there are more factors that will influence the value of the firm, e.g. profits.
Market Efficiency
- Financing choice is irrelevant if:
- total cash flows are unaffected
- markets are efficient.
- Requires no transaction, bankruptcy, or agency costs.
- If markets are efficient, there is no need to consider market conditions or needs of investors when making financing decisions.
Efficiency Requires Integration
- If two markets are integrated, the required return premium associated with any risk is the same in both markets.
- 1980s Hong Kong: Absence of options market led to overpriced warrants.
- Firms increased supply, indicating financing is influenced by market conditions.
- Banks purchased stock and issued warrants, satisfying investor needs.
Market Efficiency (Continued)
- Over time, banks became the issuers of warrants
- There was potential for increasing V by increasing supply
- The MM Proposition holds in both perfect and efficient markets.
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