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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 ───────────────────────────── ORIGINAL SOURCE ───────────────────────────── This video distills concepts from the following source: • Ses 11: Options II All credit for the original content belongs to the original creator. ───────────────────────────── About Ludium ───────────────────────────── Learn. Play. Discover. Ludium distills long lectures into focused concept videos, making complex ideas accessible and precise. GitHub: https://github.com/Augustinus12835/au... #ImpliedVolatility #VIX #BlackScholes #MertonModel #OptionPricing #CapitalStructure #Finance