Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomialtrees (IBT) models capture the variations of the implied volatility known as \volatility smile". They provide a discrete...

Due to its ability to allow and account for similarities between pairs of alternatives, the nested logit model is increasingly used in practical applications. However the fact that there are two different specifications of the nested logit model has not received adequate attention. The utility...

In this paper we introduce the dynamic semiparametric factor model (DSFM) for electricity forward curves. The biggest advantage of our approach is that it not only leads to smooth,seasonal forward curves extracted from exchange traded futures and forward electricity contracts, but also to a...

State price density (SPD) contains important information concerning market expectations. In existing literature, a constrained estimator of the SPD is found by nonlinear least squares in a suitable Sobolev space...

Risk management and the thorough understanding of the relations betweenfinancial markets and the standard theory of macroeconomics have always been among the topics most addressed by researchers, both financial mathematicians and economists. This work aims at explaining investors behavior from a...

Option pricing models are calibrated to market data of plain vanillas by minimization of an error functional. From the economic viewpoint, there are several possibilities to measure the error between the market and the model. These different specifications of the error give rise to different...

This paper analyzes empirical market utility functions and pricing kernelsderived from the DAX and DAX option data for three market regimes. Aconsistent parametric framework of stochastic volatility is used. All empiricalmarket utility functions show a region of risk proclivity that is...

Modeling the portfolio credit risk is one of the crucial issues of the last yearsin the financial problems. We propose the valuation model of Collateralized DebtObligations based on a one- and two-parameter copula and default intensities estimatedfrom market data. The presented method is used to...

With the recent availability of high-frequency nancial data the longrange dependence of volatility regained researchers' interest and has leadto the consideration of long memory models for realized volatility. Thelong range diagnosis of volatility, however, is usually stated for long...

In this paper we provide a review of copula theory with applications to finance. We illustrate the idea on the bivariate framework and discuss the simple, elliptical and Archimedean classes of copulae. Since the copulae model the dependency structure between random variables, next we explain the...