Daniel T. Cassidy

  1. Student's t-Distribution Based Option Sensitivities: Greeks for the Gosset Formulae.

    Authors: Daniel T. Cassidy, Michael J. Hamp, Rachid Ouyed
    Subjects: Pricing of Securities
    Abstract

    European options can be priced when returns follow a Student's
    t-distribution, provided that the asset is capped in value or the distribution
    is truncated. We call pricing of options using a log Student's t-distribution a
    Gosset approach, in honour of W.S. Gosset. In this paper, we compare the greeks
    for Gosset and Black-Scholes formulae and we discuss implementation. The
    t-distribution requires a shape parameter \nu to match the "fat tails" of the
    observed returns. For large \nu, the Gosset and Black-Scholes formulae are
    equivalent.

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