Assessing the performance of symmetric and asymmetric implied volatility functions

Autor: Andreou, Panayiotis C., Charalambous, Chris, Martzoukos, Spiros H.
Přispěvatelé: Martzoukos, Spiros H. [0000-0002-4040-3096], Aνδρέου, Παναγιώτης
Rok vydání: 2013
Předmět:
Zdroj: Review of quantitative finance and accounting, 2014, Vol.42(3), pp.373-397 [Peer Reviewed Journal]
Review of Quantitative Finance and Accounting
ISSN: 1573-7179
0924-865X
DOI: 10.1007/s11156-013-0346-z
Popis: This study examines several alternative symmetric and asymmetric model specifications of regression-based deterministic volatility models to identify the one that best characterizes the implied volatility functions of S&P 500 Index options in the period 1996-2009. We find that estimating the models with nonlinear least squares, instead of ordinary least squares, always results in lower pricing errors in both in- and out-of-sample comparisons. In-sample, asymmetric models of the moneyness ratio estimated separately on calls and puts provide the overall best performance. However, separating calls from puts violates the put-call-parity and leads to severe model mis-specification problems. Out-of-sample, symmetric models that use the logarithmic transformation of the strike price are the overall best ones. The lowest out-of-sample pricing errors are observed when implied volatility models are estimated consistently to the put-call-parity using the joint data set of out-of-the-money options. The out-of-sample pricing performance of the overall best model is shown to be resilient to extreme market conditions and compares quite favorably with continuous-time option pricing models that admit stochastic volatility and random jump risk factors.
Databáze: OpenAIRE