A Note on the Equivalence between the Normal and the Lognormal Implied Volatility : A Model Free Approach
AbstractFirst, we show that implied normal volatility is intimately linked with the incomplete Gamma function. Then, we deduce an expansion on implied normal volatility in terms of the time-value of a European call option. Then, we formulate an equivalence between the implied normal volatility and the lognormal implied volatility with any strike and any model. This generalizes a known result for the SABR model. Finally, we adress the issue of the "breakeven move" of a delta-hedged portfolio.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1112.1782.
Date of creation: Dec 2011
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-12-19 (All new papers)
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