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arxiv: 1809.06736 · v4 · pith:6SWFX6QWnew · submitted 2018-09-17 · 💱 q-fin.PR

On expansions for the Black-Scholes prices and hedge parameters

classification 💱 q-fin.PR
keywords black-scholeshedgeparametersapplyapproximationsboundariescalculationcall
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We derive new formulas for the price of the European call and put options in the Black-Scholes model, under the form of uniformly convergent series generalizing previously known approximations. We also provide precise boundaries for the convergence speed and apply the results to the calculation of hedge parameters (Greeks).

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