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Contribution Details

Type Bachelor's Thesis
Scope Discipline-based scholarship
Title The performance of option pricing models during the Covid-19 crisis
Organization Unit
Authors
  • Timon Gehrig
Supervisors
  • Erich Walter Farkas
  • Alexander Smirnow
Language
  • English
Institution University of Zurich
Faculty Faculty of Business, Economics and Informatics
Date 2022
Abstract Text Classic option pricing models are known to perform moderately well in standard market conditions. However, if this is not given, their performance is greatly reduced. By divid- ing the Covid-19 crisis into three periods (pre-, mid-, and post-crisis), we measure the pricing error of four classic option pricing models (Black-Scholes-Merton model (1973), Cox-Ross-Rubinstein (binomial) model (1979), (crude) Monte Carlo Simulation (1977), and Heston model (1993)) in contrasting market situations. We first state an empirical proof of the Cox-Ross-Rubinstein model and Monte Carlo Simulation’s convergence to the Black-Scholes-Merton model as proclaimed by Cox, Ross, and Rubinstein (1979) and Boyle (1977). Then, we compare the performance of the Black-Scholes-Merton and Heston model, where the results show, with an agreement to preceding studies, that the former is significantly outperformed in both in-sample and out-of-sample testing. Both models display an increase in error in the mid-period, during which we observe high volatility and many out-of-the-money options. The Black-Scholes-Merton model overprices options in all periods, whereas the Heston model only shows a tendency of overvaluing during the mid-period.
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