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Re:The Black-Scholes formula, explained (2019) by spekcular on Sunday April 11, 2021 @05:18PM (#26773539)
I'm not in finance, but my impression from reading literature from those who are is that no one uses vanilla B–S for pricing options. One reason is the volatility smile: https://en.wikipedia.org/wiki/Volatility_smile.
Re:The Black-Scholes formula, explained (2019) by FabHK on Sunday April 11, 2021 @08:11PM (#26774800)
Well, everybody uses standard B-S to quote option prices, just like everyone uses interest rates to quote bond prices.

But nobody prices options while assuming all the good old innocent assumptions underlying the original derivation of the formula. That, indeed, can be seen from the fact that different vols will be quoted for different strikes at the same expiry.

Re:The Black-Scholes formula, explained (2019) by vardaro on Sunday April 11, 2021 @05:25PM (#26773582)
The vol smile is mostly a byproduct of greater demand for far OTM options to hedge tail risk, alongside more sellers for ATM options which depresses the middle portion of the curve. I am not sure why this is a problem
Re:The Black-Scholes formula, explained (2019) by ivalm on Sunday April 11, 2021 @05:32PM (#26773638)
It's an example of how real life pricing deviates from Black-Scholes. At the same time the pricing is correct in a sense that tail risks are greater than would be expected from a random walk.