The Volatility Smile and Skew

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In this video we will look at the volatility smile and discuss the implied volatility shape coming from options on the same underlying asset, that have the same maturity date, but have different strike prices.

We will see that before October 1987 market crash the volatility curve was actually flat. Market participants started to price after the crash that the geometric Brownian motion assumption for the dynamic of stock prices was not true, stocks can jump and their distributions are fat-tailed.

0:00 Introduction
0:19 The Volatility is assumed Constant in Black-Scholes Model...
0:42 ... This is Not True in Practice
1:33 S&P Implied Volatility Before and After 1987 Market Crash
1:45 S&P Daily Returns Are Fat-Tailed
2:30 The Volatility Smile...
3:36 ...and Skew

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