WIT Press


Different Estimators Of The Underlying Asse4s Volatility And Option Pricing Errors: Parallel Monte-Carlo Simulation

Price

Free (open access)

Paper DOI

10.2495/CF040121

Volume

38

Pages

11

Published

2004

Size

585 kb

Author(s)

S. Rakhmayil, I. Shiller & R.K. Thulasiram

Abstract

This paper investigates accuracy of volatility estimation methods for asset prices characterized by several volatility regimes. Two criteria for evaluation of estimator accuracy are estimation volatility error and option pricing error in the context of the Black-Scholes option-pricing model. We performed a Monte Carlo experiment to obtain average option pricing errors for various patterns of underlying asset volatility. In the case of an ergodic in variance process it is acceptable to use volatility estimates derived either from sample standard deviation of continuously compounded returns or from GARCH-fitted volatility of continuously compounded returns. In the case of a non-ergodic process all es

Keywords