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The SABR Model - Densities and MC

Different Approximation to SABR. Including Kienitz, Doust, Hagan, Obloj, Lesniewski, Kainth method

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We consider the well known SABR model. We give formulae for implied vol, densities and Monte Carlo simulation. We also cover no-arbitrage densities for parameter sets where standard formulae break down.
We also cover the recent Doust method and the Kienitz method for density extrapolation.

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