Equity Is a Call Option: Implied Volatility and the Merton Model

Описание: When the VIX spiked to 82.69 in March 2020, that number wasn't calculated from historical data — it was extracted from option prices using a powerful inversion of the Black-Scholes formula. This video explains how implied volatility works, how the VIX captures forward-looking fear, and then pushes the framework further: showing that a company's equity is mathematically identical to a call option on its assets, with the face value of debt as the strike price.

Key concepts covered:
• Implied volatility as the reverse-engineering of Black-Scholes
• Forward-looking vs. historical volatility
• How the CBOE constructs the VIX from S&P 500 options
• The term structure of implied volatility (temporary shocks vs. prolonged uncertainty)
• The Merton model: equity as a call option on firm assets
• Debt as a risk-free bond minus a put option
• The identity V = D + E and capital structure arbitrage
• Why asymmetric payoffs make volatility beneficial for option holders
• Options thinking applied to education, hiring, and venture capital

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ORIGINAL SOURCE
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This video distills concepts from the following source:
   • Ses 11: Options II  
All credit for the original content belongs to the original creator.

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