Session 26: Distressed Equity as an Option and Acquisition Valuation

Key Concepts

• Option to Abandon: A put option that allows a company to exit an investment project and recover a certain salvage value if the project's future cash flows become less valuable than the abandonment value.
• Financial Flexibility: The ability of a company to take advantage of unexpected investment opportunities or to weather unexpected downturns, often maintained by having excess debt capacity.
• Equity as a Call Option: The equity holders of a company have a claim on the firm's assets after debt holders are paid. This payoff structure resembles a call option, where the firm's assets are the underlying asset and the debt's face value is the strike price.
• Distressed Equity: Equity in companies facing severe financial difficulties, which can be viewed as deep out-of-the-money call options.
• Acquisitions and Value Destruction: The general tendency for acquisitions to destroy value for acquiring companies due to overpayment, overestimated synergies, and flawed valuation processes.
• Synergy: The concept that the combined value of two merging companies is greater than the sum of their individual values.
• Conglomerate Discount: A valuation discount applied to diversified companies, suggesting that investors may prefer to hold individual businesses rather than a diversified conglomerate.

Final Exam Logistics

The final exam is scheduled for Monday, May 12th. Students have the option to take it either in person or online. The online option is exclusively for students who will not be in New York. For those in New York, in-person attendance is expected unless a specific arrangement is made with the instructor (e.g., an early flight). The online exam will be identical to the in-person exam and will be administered from 4:00 PM to 5:45 PM. The exam will be conducted in multiple rooms (UC 24, UC 25, and potentially a third) to accommodate in-person attendees. The instructor will use Brightspace to track online exam takers' locations, specifically their IP addresses, to ensure compliance with the in-person requirement for New York-based students.

The final project is due a week from the lecture, at 5:00 PM, and project numbers are due by Sunday.

The Option to Abandon

The option to abandon is a crucial real option that allows companies to mitigate losses on long-term, expensive projects. It functions as a put option, where the decision to abandon is exercised if the present value of continuing the project is less than the value received from abandoning it.

Example: Lear Aircraft and Airbus Joint Venture

• Scenario: Lear Aircraft proposes a 50/50 joint venture with Airbus to create small commercial aircraft. Airbus is asked to invest $0.5 billion, and Lear Aircraft will also invest $0.5 billion.
• Initial Valuation: The present value of expected cash flows from the project is $480 million. This results in a negative Net Present Value (NPV) of -$20 million ($480 million - $500 million).
• Abandonment Option: Lear Aircraft offers Airbus the right to abandon the project within five years and receive $400 million.
• Rationale for Limited Abandonment Period: The option to abandon is limited to five years because a perpetual option would allow investors to wait until the very end of a project's life to abandon it, which is not economically feasible.
• Valuation of the Abandonment Option:
  • Present Value of Cash Flows (PVCF): $480 million
  • Abandonment Value (Strike Price): $400 million
  • Variance of PVCF: 0.16
  • Project Life: 30 years
  • Option Exercise Period: 5 years
  • Calculated Value of the Abandonment Option: $73.23 million.
• Impact on Decision: The initial NPV was -$20 million. However, with the abandonment option valued at $73.23 million, the effective NPV becomes positive ($53.23 million). This option makes a seemingly unattractive project more appealing by providing a floor on potential losses.
• General Principle: The option to abandon highlights the value of flexibility. Being able to walk away from mistakes or capitalize on better opportunities enhances a company's overall value. This concept is analogous to adaptability and flexibility discussed in the context of COVID-19.
• Salesperson Caution: The lecture warns against salespeople freely offering "put options" (e.g., return policies) as it can lead to uncontrolled liabilities.

Options and Capital Structure

The lecture then shifts to how options are embedded within capital structure decisions, particularly concerning the optimal debt ratio.

• Bonds with Embedded Options: Features like floating rates, caps, floors, and convertibility in bonds are essentially options that complicate their valuation.
• Optimal Debt Ratio: The optimal debt ratio for a company is the mix of debt and equity that minimizes its Weighted Average Cost of Capital (WACC).
• Financial Flexibility as an Option: Companies may choose to operate with less debt than their optimal level to maintain financial flexibility. This flexibility is viewed as an option, allowing them to seize future investment opportunities that require capital.
• Valuing Financial Flexibility (Disney Example):
  • Context: Disney's debt ratio in 1997 was 18%, with a WACC of 12.22%. The calculated optimal debt ratio was 40%, with a WACC of 11.64%.
  • Cost of Being Underlevered: Disney was giving up 58 basis points (12.22% - 11.64%) in WACC by being underlevered.
  • Valuation Inputs for Flexibility:
    • S (Typical Reinvestment Needs): Average of reinvestment needs (net capex + change in working capital) as a percentage of firm value over five years (5.3% for Disney).
    • Variance of Reinvestment Needs: Variance of the annual reinvestment needs (0.375 for Disney).
    • K (Internal Financing Capacity): Percentage of internal cash flows available after taxes (4.8% for Disney).
    • Time Horizon: One year, to compare with the annual cost of capital.
  • Calculated Value of Financial Flexibility: 1.6092% of firm value.
  • Comparison: The value gained from flexibility (0.85% of firm value, considering Disney's ability to earn above its cost of capital) exceeded the cost of being underlevered (0.58% of firm value). This justified Disney's decision to maintain financial flexibility.
• Factors Influencing the Value of Financial Flexibility:
  1. Capital Constraints: Companies with limited access to external capital (e.g., smaller companies, emerging market companies, companies in capital-intensive sectors) value flexibility more.
  2. Unpredictability of Reinvestment Needs: Companies with highly variable reinvestment needs (e.g., tech companies) value flexibility more than those with predictable needs.
  3. Business Quality: Companies in "good" businesses (earning well above their cost of capital) benefit more from financial flexibility than those in "neutral" or "bad" businesses.

Real Options: Equity as a Call Option

The lecture then explores how equity in a publicly traded company can be viewed as a call option.

• Key Features of Equity:
  • Residual Claim: Equity holders receive whatever is left after all other claims (debt, preferred stock) are satisfied.
  • Limited Liability: The maximum loss for equity holders is their initial investment.
• Payoff Diagram: The payoff for equity holders resembles a call option:
  • If the firm's value exceeds the debt obligations, equity holders receive the residual.
  • If the firm's value is less than the debt obligations, equity holders lose their investment (up to their initial outlay) due to limited liability.
• Example: Valuing Equity as a Call Option:
  • Firm Value (S): $100 million
  • Standard Deviation of Firm Value (σ): 40%
  • Debt Face Value (K - Strike Price): $80 million (zero-coupon bond)
  • Time to Maturity (T): 10 years
  • Risk-Free Rate (r): 10%
  • Calculated Probability of Bankruptcy (N(d2)): 37%
  • Value of Equity (Call Option Value): $75.94 million
  • Value of Debt: $24.06 million
  • Implied Interest Rate on Debt: 12.77% (a default spread of 2.77% over the risk-free rate).
• Impact of Negative Shocks: If the firm's value drops significantly (e.g., from $100 million to $50 million due to a hurricane), equity value drops, but not by the full amount of the firm's value decline. Lenders absorb some of the loss.
  • New Equity Value: $30.44 million (a drop of $45.5 million).
  • New Debt Value: $19.56 million (a drop of $4.5 million).
  • New Probability of Bankruptcy: 58%.
• Distressed Equity and Vulture Investing: Buying equity in deeply troubled companies is akin to buying deep out-of-the-money call options. Vulture investors profit from the potential upside of these options, which can be substantial if the company recovers (e.g., Continental Airlines example with a 5,200% return).
• The Role of Time and Uncertainty: Even when a firm's value is significantly below its debt obligations, equity can retain value due to the time remaining until maturity and the uncertainty of future outcomes. This is the "hope" factor that keeps equity afloat.
• Acquisitions and Risk Transfer:
  • Scenario: An acquiring company with a safe profile acquires a riskier target company.
  • Mistake: Using the acquirer's low cost of capital to value the target company leads to overvaluation. The discount rate should reflect the target's risk.
  • Debt Subsidization: Using cheap debt capacity of the acquirer to fund an acquisition can lead to overpaying for the target, as the target shareholders benefit from the acquirer's financial strength, which they did not create.
  • Control Premium: A fixed 20% control premium is often arbitrary. The value of control is company-specific and should be derived from a detailed analysis of potential improvements.
  • Synergy Valuation: Synergies must be carefully valued and negotiated. Giving the entire synergy value to target shareholders as a premium is a mistake.
  • Operating vs. Financial Synergy: Operating synergies (economies of scale, lower costs, higher growth) are easier to value. Financial synergies, particularly tax savings, are often the primary driver but should be downplayed publicly due to tax scrutiny.
• The Conglomerate Discount: Diversifying companies often trade at a discount because shareholders can achieve diversification themselves more efficiently. Combining companies can reduce firm-specific risk, but this benefit is not captured by standard cost of equity calculations, which focus on systematic risk.

Applying Real Options to Real Companies

The lecture provides guidance on how to obtain inputs for real-world option pricing models, especially for distressed companies.

• Value of the Firm (S):
  • For companies with sellable assets, sum their liquidation values.
  • For ongoing businesses, use the discounted cash flow (DCF) valuation of operating assets (excluding growth potential) as a starting point.
• Variance in Firm Value (σ²):
  • Hard Way: Calculate from the standard deviations of traded stock and bond prices, considering their correlation. This is complex for distressed firms where equity and debt behave erratically.
  • Shortcut: Use industry-specific data on variances in firm and equity values available on the instructor's webpage.
• Debt Face Value (K): For companies with multiple debt issues, sum all outstanding debt and treat it as a single zero-coupon bond.
• Time to Maturity (T): Calculate the weighted average maturity or duration of all outstanding debt.
• Risk-Free Rate (r): Use the T-bond rate corresponding to the weighted average maturity of the debt.
• Euro Tunnel Example:
  • Company Profile: Money-losing with significant debt.
  • Inputs:
    • DCF value of firm: £2.3 billion
    • Total Debt: £8.9 billion
    • Weighted Average Duration of Debt: 10.9 years
    • Variance in Firm Value: 0.335 (derived from stock and bond price variances and correlation)
    • Risk-Free Rate: Corresponding T-bond rate.
  • Outcome: Despite being in dire straits, the equity had a value of £122 million due to time and uncertainty. The probability of bankruptcy was calculated at 92.5%.
• Bailouts and Option Life: Government bailouts or support can effectively extend the life of the equity option, increasing its value.

Acquisitions: A Critical Perspective

The lecture concludes with a critical examination of acquisitions, highlighting their tendency to destroy value.

• Acquisition Performance: Studies consistently show that acquiring companies' stock prices drop on announcement, while target companies' stock prices rise. Over the long term, most acquisitions fail to deliver on their promised returns or outperform peer groups.
• Synergy Realization: Only about 17% of deals actually deliver synergies; the rest experience no synergy or "reverse synergy" (combined entity is less valuable).
• Lack of Learning: Despite decades of research showing poor acquisition performance, there's little evidence of learning or improvement in the process.
• Root Cause: Conflict of Interest: The primary problem is identified as a conflict of interest between M&A bankers (who profit from deal volume) and the acquiring companies.
• Seven Mistakes in M&A:
  1. Risk Transfers: Assuming a safe acquirer can make a risky target safe.
  2. Debt Subsidization: Using cheap debt capacity to overpay for a target.
  3. Arbitrary Control Premiums: Paying a fixed premium without specific justification.
  4. Flawed Synergy Valuation: Overestimating or misattributing synergy benefits.
  5. Biased Pricing: Using statistically biased methods to value target companies.
  6. Decision Before Analysis: Top management decides on a deal, and analysts are tasked with justifying it.
  7. Lack of Accountability: No consequences for large acquisition mistakes, unlike capital budgeting errors.
• Valuation Pitfalls:
  • Using Acquirer's Cost of Capital: This leads to overpaying for risky targets. The discount rate must match the target's risk.
  • Paying for Buzzwords: Control premiums and generic synergy arguments are often not justified.
• The Role of the Banker: Bankers are incentivized to get deals done and often push for higher prices, creating a conflict with the acquirer's best interests.
• The "It" Proposition: The core of a successful acquisition lies in a clear "it" proposition – a specific, quantifiable reason for the deal's value creation.

Conclusion/Synthesis:

The lecture emphasizes the pervasive nature of options in finance, from project abandonment and financial flexibility to the very structure of equity. It argues that a mindset of option thinking is crucial for identifying value where traditional methods fall short, particularly in distressed situations and M&A. The analysis of acquisitions reveals a systemic failure in the process, driven by conflicts of interest and flawed valuation practices, leading to widespread value destruction for acquiring companies. The key takeaway is to approach financial decisions with a critical, option-based perspective, focusing on specific value drivers and avoiding arbitrary premiums or flawed assumptions. The final exam will include a problem on option pricing, requiring students to work through a Black-Scholes model.