We propose a new method for pricing options based on GARCH models with filtered historical innovations. In an incomplete market framework we allow for different distributions of the historical and the pricing return dynamics enhancing the model flexibility to fit market option prices. An...

We propose a simple class of semiparametric multivariate GARCH models, allowing for asymmetric volatilities and time-varying conditional correlations. Estimates for time-varying conditional correlations are constructed by means of a convex combination of estimates for averaged correlations...

The American put is one of the oldest problems in mathematical finance. We review the development of the relevant literature over the last 40 years. Today the mainstream computational problems have been solved satisfactorily and the target of research is shifting towards the development of...

Simple heuristics for large portfolio choice in small samples are proposed. The loss of efficiency from true optimum is observed by simulation. The performance of chosen portfolios is reasonable when true arbitrage opportunities and good deals are absent.

Do you enjoy chores such as mowing the lawn or, as it is called in Canada, shovelling the snow? Below we discuss a simpler method of trimming the hedge, suggested by Barone-Adesi, Engle and Mancini. Assuming the option price is homogeneous our calculation is model independent and provides delta...

The term structure of American interest rates is filtered to reduce the influence of cross correlations and auto correlations on its factors. A three-factor model is fitted to the filtered data. Contrary to most studies of the term structure on monthly data, performing statistical tests we...

The first four conditional moments of the integrated variance implied by the GARCH diffusion process are derived analytically. Based on these moments and on a power series method an analytical approximation formula to price European options under the GARCH diffusion model is obtained. Monte...

We develop a continuous time general equilibrium model for the term structure of interest rates where economic agents are averse to model uncertainty and consider the possibility of a misspecified dynamic model for the latent risk factors driving interest rates. Aversion to model uncertainty is...

The CKLS (1992) short-term risk-free interest rate process leads to valuation model for both default free bonds and contingent claims that can only be solved numerically for the general case. Valuation equations of this nature in the past have been solved using the Crank Nicolson scheme. In this...

We present a multivariate, non-parametric technique for constructing reliable daily VaR predictions for individual assets belonging to a common equity market segment, which takes also into account the possible dependence structure between the assets and is still computationally feasible in large...