**Mergers and Acquisitions (M&A)

In this advanced session, we delve into the core of corporate finance: optimizing capital structure and understanding the true cost of capital. You will learn to navigate the complexities of debt vs. equity financing, assess the implications of leverage, and master the calculation and interpretation of the Weighted Average Cost of Capital (WACC). This will enable you to make informed decisions that maximize firm value.

Learning Objectives

  • Evaluate a company's current capital structure and identify potential areas for optimization.
  • Understand and apply the Modigliani-Miller theorems to analyze the impact of leverage on firm value in different market environments.
  • Calculate the Weighted Average Cost of Capital (WACC) accurately, considering factors such as debt costs, equity costs, and tax shields, and making illiquidity adjustments.
  • Analyze the trade-offs between debt and equity financing, including the impacts of financial distress costs and tax benefits, and apply it in practical scenarios.

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Lesson Content

Capital Structure Fundamentals and the Modigliani-Miller Theorems

Capital structure refers to the mix of debt and equity used to finance a company's assets. The Modigliani-Miller (M&M) theorems provide a foundational understanding of capital structure. M&M I (without taxes) states that in a perfect market (no taxes, transaction costs, and information asymmetry), the value of a firm is independent of its capital structure. Firm value is determined solely by the expected cash flows generated by its assets, and not by how those cash flows are split between debt holders and equity holders. M&M II (without taxes) establishes that the cost of equity increases linearly with leverage, while the weighted average cost of capital (WACC) remains constant.

Example: Consider two identical companies, A and B. Company A is unlevered (all equity), and Company B has a debt component. According to M&M I (no taxes), assuming perfect markets, the total value of Company A will equal the total value of Company B, even though Company B uses debt. The overall value of the firm is independent of how it is financed.

However, in the real world, several factors change this result. M&M with taxes: introduces the tax shield. The tax deductibility of interest expenses creates a tax shield, reducing a company’s tax liability and increasing the firm’s value. This value is calculated as the present value of the tax shield (Debt * Tax Rate).

Example: If a company has $100 million in debt at an interest rate of 5% and a tax rate of 21%, the annual interest expense is $5 million, and the tax shield is $5 million * 21% = $1.05 million. The present value of this tax shield contributes to the firm’s value.

Optimal Capital Structure: Trade-offs

The optimal capital structure balances the benefits of debt (tax shield) against the costs of financial distress. Financial distress costs include bankruptcy costs (direct costs, such as legal fees and administrative expenses) and indirect costs (such as loss of customers, suppliers, and skilled employees). The higher the debt level, the greater the likelihood of financial distress. Companies must find an optimal point that maximizes firm value, which is found when the marginal benefit of additional debt equals the marginal cost. This optimal point varies depending on industry, company risk profile, and market conditions.

Example: A mature, stable company with predictable cash flows might be able to support a higher debt level than a high-growth, volatile company. The former has a lower risk of financial distress, while the latter is more susceptible to it. High debt can lead to difficulty in refinancing the debt and ultimately to a more fragile situation in general, which would impact the business negatively.

The trade off theory assumes that companies should take on debt only up to the level that generates the highest value. Debt allows a tax shield, but too much debt will raise the cost of debt as lenders are going to require higher interest rates when taking on more risk. An additional risk for the business is the increase of bankruptcy costs.

Weighted Average Cost of Capital (WACC)

WACC is the average rate a company pays to finance its assets. It is used as a discount rate in capital budgeting to determine the net present value (NPV) of projects. It is a vital tool for evaluating investment proposals and making sound financial decisions.

The WACC formula is:

WACC = (E/V * Re) + (D/V * Rd * (1 - Tc))

Where:
* E = Market value of equity
* D = Market value of debt
* V = Total value of the company (E + D)
* Re = Cost of equity
* Rd = Cost of debt
* Tc = Corporate tax rate

Calculating the Components:

  • Cost of Equity (Re): Often calculated using the Capital Asset Pricing Model (CAPM): Re = Rf + Beta * (Rm - Rf). Where Rf is the risk-free rate, Beta measures the stock's volatility relative to the market, and Rm is the expected market return.
  • Cost of Debt (Rd): This is the yield to maturity (YTM) on the company’s existing debt or the rate a new debt can be issued at. Remember to consider the after-tax cost of debt.

Illiquidity adjustments: Consider the liquidity of the underlying financial instruments. For thinly traded debt instruments or equity shares, adjustments for illiquidity premiums may need to be included when assessing the cost of capital. A higher illiquidity premium will increase the WACC.

Example:

A company has a market capitalization (equity) of $500 million, debt of $200 million, a cost of equity of 12%, a cost of debt of 6%, and a tax rate of 21%.

  • E/V = 500 / (500 + 200) = 0.7143
  • D/V = 200 / (500 + 200) = 0.2857
  • WACC = (0.7143 * 0.12) + (0.2857 * 0.06 * (1 - 0.21)) = 0.0857 + 0.0135 = 0.0992 or 9.92%

Leverage and its Impact

Financial leverage, achieved through debt financing, can amplify returns (both positive and negative) on equity. Increased leverage magnifies earnings per share (EPS) during favorable economic conditions, but it can also lead to significant losses during downturns. The use of debt can also impact a firm’s financial flexibility and its ability to respond to changes in the market. Highly leveraged firms may face restrictions, leading to missed opportunities. The level of leverage needs to be aligned with the industry.

Example: Consider two companies, one levered and one unlevered. Both have the same operating income. If the levered company’s operating income increases, its EPS will increase more than the unlevered company's EPS. However, if operating income decreases, the EPS of the levered company will be lower.

Impact on Share Price: Higher leverage typically increases the risk to the equity. This is also reflected in the stock price. The stock price and share valuation are closely related to the company’s capital structure. The increase in the risk for equity will impact the cost of equity. Leverage magnifies the performance of the business.

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