Option pricing under multifractional brownian motion in a risk neutral framework

• Fabrizio Di Sciorio ^[1]
  1. [1] Prelios Valuation
• Localización: Estudios de economía aplicada, ISSN 1133-3197, ISSN-e 1697-5731, Vol. 38, Nº 3, 2020 (Ejemplar dedicado a: Africa: Economic transformations and development challenges (II))
• Idioma: inglés
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• Resumen

  • In this paper, we introduce a new method to compute the European Call Option price (ct) under multi-fractional Brownian motion (mBm) with deterministic Hurst function. We build a mathematical framework using a Lebovits et al. study to approximate mBm to fractional Brownian motion (fBm). As a result we obtain ct , through the simulation of the logarithmic price under mBm, using a Vasicek model for the discount factor. Finally, we compare the results with those computed with the Black Scholes model and Call market price (SPX).