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Arbitrage hedging strategy and one more explanation of the volatility smile

2011/02/27 by Martynov, Mikhail, Rozanova, Olga
#91B24 #Analysis of PDEs (math.AP) #FOS: Economics and business #FOS: Mathematics #Pricing of Securities (q-fin.PR)

paper · doi:10.48550/arxiv.1102.5525

Abstract

We present an explicit hedging strategy, which enables to prove arbitrageness of market incorporating at least two assets depending on the same random factor. The implied Black-Scholes volatility, computed taking into account the form of the graph of the option price, related to our strategy, demonstrates the "skewness" inherent to the observational data.

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