Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis

Pricing under Linear Autoregressive Dynamics , Heteroskedasticity , and Conditional

Daily returns of nancial assets are frequently found to exhibit positive autocor-relation at lag 1. When specifying a linear AR(1) conditional mean, one may ask how this predictability aaects option prices. We investigate the dependence of option prices on autoregressive dynamics under stylized facts of stock returns, i.e., conditional heteroskedasticity, leverage eeect, and conditional leptoku...

Testing for linear autoregressive dynamics under heteroskedasticity

One puzzling behavior of asset returns for various frequencies is the of ten observed positive autocorrelation at lag To some extent this can be explained by standard asset pricing models when assuming time varying risk premia However one often nds better results when directly tting an autoregressive model for which there is little economic foundation One may ask whether the underlying process ...

Generalized Autoregressive Conditional Heteroskedasticity

A natural generalization of the ARCH (Autoregressive Conditional Heteroskedastic) process introduced in Engle (1982) to allow for past conditional variances in the current conditional variance equation is proposed. Stationarity conditions and autocorrelation structure for this new class of parametric models are derived. Maximum likelihood estimation and testing are also considered. Finally an e...

Testing for Vector Autoregressive Dynamics under Heteroskedasticity

In this paper we introduce a bootstrap procedure to test parameter restrictions in vector autoregressive models which is robust in cases of conditionally heteroskedastic error terms. The adopted wild bootstrap method does not require any parametric specification of the volatility process and takes contemporaneous error correlation implicitly into account. Via a Monte Carlo investigation empiric...

Time - series Econometrics : Cointegration and Autoregressive Conditional Heteroskedasticity