Abstract
In practical applications, there is the phenomenon of volatility smirk in Classic B–S option pricing formula. In order to eliminate this phenomenon, we add an independent compound Poisson process to geometric Brownian motion, and get the corresponding option price formula. This article has done two tasks: Firstly, we estimate the volatility of classic B–S option pricing formula with stock and warrant market data, and find that volatility smirk is obvious. Secondly, we estimate the volatility of our option pricing formula with stock and warrant market data, and find that our pricing formula eliminates the smirk, and is better than classical B–S formula.
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