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Under discrete-time GARCH models markets are incomplete so there is more than one price kernel for valuing contingent …-neutral dynamics of various classes of Generalized Hyperbolic GARCH models arising from different price kernels. We discuss the … neutral GARCH dynamics. Real data examples for pricing European options on the S&P 500 index emphasize the importance of the …
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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...
Persistent link: https://www.econbiz.de/10010756275
In the present paper we suggest to model Realized Volatility, an estimate of daily volatility based on high frequency data, as an Inverse Gaussian distributed variable with time varying mean, and we examine the joint properties of Realized Volatility and asset returns. We derive the appropriate...
Persistent link: https://www.econbiz.de/10005440036
, including Black–Scholes (constant variance model), Hull–White (a mean-reverting variance model), GARCH (a time … GARCH models. This result consists with the fact that stock return distributions are usually asymmetric and nonmesokurtic as …
Persistent link: https://www.econbiz.de/10011264491
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/10010956419
metric. The methods are illustrated using an asymmetric GARCH model with a data set on a stock index in Brussels. The …
Persistent link: https://www.econbiz.de/10005008451
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
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