Adam Bede

    Convertible Bond

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    Class

    Black-Scholes Formula for Teaching Convertible Bonds

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    Understanding the Black-Scholes Formula Components

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    Applying Black-Scholes to Convertible Bonds

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    Teaching Points: Why Black-Scholes Matters for CFOs

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    Classroom Exercise: Valuing a Convertible Bond

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    Common Misconceptions to Address

    When teaching Black-Scholes for convertible bonds, remember that the most valuable insight is how volatility affects option value. This explains why convertibles can bridge disagreements between management (who may see their company as less risky) and investors (who may perceive higher risk and value the option component more highly).

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    Overview

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    Cheat Sheet

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    Core Fundamentals & Mechanics (what every CFO should know)

    Professor’s Strategic Warnings (why be skeptical of “win-win” claims)

    • The “Myth”:
      • If stock falls: converts are cheap debt (low coupon).
      • If stock rises: converts = deferred equity at higher price.
      • Looks like “better than debt, better than equity.”
    • The Reality:
      • If stock falls, straight debt would have been cheaper (no dilution option given away).
      • If stock rises, straight equity issuance would have been cleaner (no discounted conversion).
      • Convertible = trade-off, not free lunch.
    • Deeper Uses:
      • Bridge disagreements between management (low volatility view) and investors (high volatility view).
      • Reduce agency conflicts (equity optionality softens “gambling for resurrection” incentives).
      • Allow institutional investors who can’t buy equity to hold “equity in disguise.”

    What a CFO must walk away with

    • Convertible bonds = financing tool, not magic.
    • They lower near-term cash costs but embed dilution risk.
    • They work best when:
      • Firm needs capital but equity looks undervalued (avoid issuing now).
      • Volatility disagreements exist (investors value the option more).
      • Firms want to broaden investor base.
    • Always ask: What’s the true cost of capital relative to straight debt or straight equity?
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    Part 1: The Class Recap — A CFO's Briefing on Convertible Bonds

    Part 3: What You Should Ask Next

    Now that you have the fundamentals, here's where a future CFO should be pushing their thinking.

    1. Connecting to the Tesla Case: The ultimate test is applying this framework to the real world. We should prepare to analyze the upcoming Tesla case by asking: Based on Tesla's situation at the time of issuance, what was their strategic rationale? Were they bridging a valuation gap with the market? Were they trying to minimize cash burn? This moves the theory into practice.
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      Impact on Earnings Per Share (EPS): The lecture briefly mentions dilution. As CFO, you live and die by EPS. The next question should be: "How do convertible bonds affect the calculation of basic vs. diluted EPS?" This is a critical detail for managing accounting and investor expectations.

    3. Modeling the Trade-Offs: The best way to understand the trade-offs is to quantify them. We could build a simple financial model to value the two parts of a convertible separately—the straight bond component and the embedded option (using a tool like Black-Scholes). This would let us see exactly how sensitive the security's value is to changes in stock volatility and interest rates, which is the kind of analysis you'd need to do before an issuance.

    To elevate your learning beyond mechanics, you might push into:

    • Capital Structure Fit: Under what conditions do convertibles optimize WACC relative to debt or equity?
    • Market Signaling: How do markets interpret convertible issuance (confidence, desperation, risk-sharing)?
    • Dilution Modeling: How should a CFO model dilution under different stock price scenarios and explain it to the board?
    • Comparables: Which industries rely most heavily on convertibles, and why (e.g., tech, biotech, growth firms)?
    • Investor Base: How do institutional constraints (e.g., some funds can’t hold equity) shape who buys convertibles and what terms are feasible?
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    Review of concepts