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in this video we will be discussing what is a volatility smile what are its implications and why must we know about this when considering option pricing so lets get started first lets understand what a volatility smile is as you can see the volatility smile is a plot of the different strike prices of an option contract on the x-axis and the implied volatility given by the black Scholes model on the y-axis this curve basically says that as we move from at-the-money contracts towards in the money or out the money contracts the implied volatility increases docHubly this nature of implied volatility is observable in the market but why is this important to know it is because options are priced based on the black Scholes model which assumes volatility to be constant for different strike prices for an underlying asset if the time to maturity for the contracts is the same you lets have a look at the black-scholes model formula and understand the different inputs to it the BSM formula d