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There is good empirical evidence to show that the financial series, whether stocks or indices, currencies or interest rates do not follow the log-normal random walk underlying the Black-Scholes model, which is the basis for most of the theory of options valuation. This article presents a...
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In this paper, the generalised autoregressive heteroskedasticity (GARCH) model is applied to the pricing of … collateralised options in the South African equity market. Symmetric GARCH and nonlinear asymmetric GARCH (AGARCH) models are … surfaces. Finally, the effect of asymmetry is shown by the difference between the symmetric and asymmetric GARCH option price …
Persistent link: https://www.econbiz.de/10015074236
In this paper, two univariate generalised autoregressive conditional heteroskedasticity (GARCH) option pricing models … effects into account. Furthermore, the accuracy of the GARCH option pricing model applied to Bitcoin is tested. Empirical … consistent with findings in the literature. In addition, the GARCH option pricing model provides realistic price discovery within …
Persistent link: https://www.econbiz.de/10014001368
Daily returns of financial assets are frequently found to exhibit positive autocorrelation at lag 1. When specifying a linear AR(l) conditional mean, one may ask how this predictability affects option prices. We investigate the dependence of option prices on autoregressive dynamics under...
Persistent link: https://www.econbiz.de/10010310007
In this paper, we investigate the importance of different loss functions when estimating and evaluating option pricing models. Our analysis shows that it is important to take into account parameter uncertainty, since this leads to uncertainty in the predicted option price. We illustrate the...
Persistent link: https://www.econbiz.de/10005791774
Characterizing asset return dynamics using volatility models is an important part of empirical finance. The existing literature favors some rather complex volatility specifications whose relative performance is usually assessed through their likelihood based on a time-series of asset returns....
Persistent link: https://www.econbiz.de/10005100917
We introduce the Simplified Component GARCH (SC-GARCH) option pricing model, show and discuss sufficient conditions for …
Persistent link: https://www.econbiz.de/10008854105
heteroskedastic environment. This is done by a simulation procedure where asset returns are generated from a GARCH (1,1)-t model. In … shown that the variance of the returns on the hedged position is considerably higher in a GARCH (1,1) environment than in a …
Persistent link: https://www.econbiz.de/10005649363