Assuming the underlying assets follow a Variance-Gamma (VG) process, we consider the problem of estimating gradients of a European call option by Monte Carlo simulation methods. In this paper, we compare indirect methods (finite difference techniques such as forward differences) and two direct...

This paper compares net profits from delta hedging through the Delta of a European call option, by assuming underlying stock prices follows a geometric Brownian motion (GBM) or a Variance-Gamma (VG) process. We employ the maximum likelihood estimation method to estimate corresponding parameters...

This paper models the relationship of European Union Allowance spot- and futures-prices within the second commitment period of the European Union emissions trading scheme. Based on high-frequency data, we analyze the transmission of information in first and second conditional moments. To reveal...

Equity basket correlation is an important risk factor. It characterizes the strength of linear dependence between assets and thus measures the degree of portfolio diversification. It can be estimated both under the physical measure from return series, and under the risk neutral measure from...

This paper empirically examines price formation in the European Union Emissions Trading Scheme (EU ETS). Our analysis shows that unexpected allocations of European Union Allowances (EUAs) lead to pronounced price reactions of the expected signs. Moreover, we find evidence that the adjustment of...

This paper empirically examines the relationship between trading volume and conditional volatility of returns in the Tunisian stock market within the framework of the mixture of distribution hypothesis (MDH) and the sequential information arrival hypothesis (SIAH). Through this study, we...

This paper deals with the modeling of the relationship of European Union Al-lowance spot- and futures-prices within the second commitment period of the Eu-ropean Union Emission Trading Scheme. Based on high frequency data, we analyzecausality in the ¯rst and the second conditional moments. To...

Equity basket correlation is an important risk factor. It characterizes the strength of linear dependence between assets and thus measures the degree of portfolio diversification. It can be estimated both under the physical measure from return series, and under the risk neutral measure from...

The writing of this article predates by several months the failure of Silicon Valley Bank and the takeover of Credit Suisse which occurred in March 2023. It does not represent the views of the European Central Bank (ECB) and should not be construed as linked to or an advice for the winding down...

This paper empirically examines price formation in the European Union Emissions Trading Scheme (EU ETS). Our analysis shows that unexpected allocations of European Union Allowances (EUAs) lead to pronounced price reactions of the expected signs. Moreover, we find evidence that the adjustment of...