In this paper we obtain the risk-neutral density of an underlying asset price as a function of its option implied volatility. We derive a known expression for the density and decompose it into a sum of lognormal and adjustment terms. We also derive no-arbitrage conditions on the volatility smile. We then explain how to use the results. Our methodology is applied to the pricing of a portfolio of digital options. It is then applied to the fitting of a distribution for log-return modelling.Keywords: Option pricing; No arbitrage; Risk-neutral distribution; Implied volatility smile.JEL: C14; C52; G13
Auteurs :Tavin Bertrand Extrait de la revue BMI 119
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The Great Divergence: French Equity Premium is Lower and Riskier than the US since WWI Is the KIID Sufficient to Associate Portfolios to Investor Profiles? Momentum Investing over the Last Twenty Years in France, its Persistence and the Effects of the Financial Crisis On the Performance of Socially Responsible Investing: Further Evidence Focus on... The Individual Investor
