Modeling Of Returns And Option Pricing Using Models With Flexible Volatility
AbstractThis work deals with time series with flexible conditional variance which is changing according to past observations and values of past volatilities. We consider a class of ARCH-type models as a special case of GARCH models and its extension GARCH-M Stationarity, estimation procedures, and LM tests are discussed. Further, we apply the models to financial data from the Czech capital market forecasting stock returns and estimating option prices. We present an extension of option pricing using equivalent martingale measure which special case leads to the well-known Black-Scholes formula.
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Bibliographic InfoArticle provided by The Czech Econometric Society in its journal Bulletin of the Czech Econometric Society.
Volume (Year): 10 (2003)
Issue (Month): 19 ()
Black-Scholes formula; GARCH; martingale measure; volatility;
Find related papers by JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- G - Financial Economics
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