Empirical studies have shown that a large number of financial asset returns exhibit fat tails and are often characterized by volatility clustering and asymmetry. Also revealed as a stylized fact is Long memory or long range dependence in market volatility, with significant impact on pricing and...

The volatility implied by observed market prices as a function of the strikeand time to maturity form an Implied Volatility Surface (IV S). Practicalapplications require reducing the dimension and characterize its dynamicsthrough a small number of factors. Such dimension reduction is...

In this paper, we present a case study, which describe the development of the Statistic e-learning-course in Arabic language –”Arabic MM*STAT”. The basic frame for this E-book, the system MM*STAT was developed at the School for Business and Economics of Humboldt-Universit¨at zu Berlin....

Die Gestaltung der Produktpalette war ein zentrale Herausforderung für ostdeutsche Unternehmen nach der Wende. Spezialisierung oder eine diffuse Generalistenstrategie war die Frage. Welche Strategie sich durchgesetzt hat und ob der Anschluss an den Westen gelang, wird in dieser Arbeit erstmals...

The purpose of this paper is to sort out firm-related differences from effects that result from different economic structures. A non-parametric decomposition is used to analyse firm level difference between the wage spread in the two major regions of unified Germany. If firm-specific effects...

The vast majority of regions in West Germany, and the EU, have become more similar in terms of per-capita income and productivity between 1980 and 2000. But a number of rich areas - generally large agglomerations - have succeeded in departing from this trend ofconvergence. They are continuing to...

Functional principal component analysis (FPCA) based on theKarhunen-Lo`eve decomposition has been successfully applied in manyapplications, mainly for one sample problems. In this paper we consider common functional principal components for two sample problems. Our research is motivated not only...

The implied volatility of a European option as a function of strike price and time to maturity forms a volatility surface. Traders price according to the dynamics of this high dimensional surface. Recent developments that employ semiparametric models approximate the implied volatility surface...

Functional data analysis (FDA) has become a popular technique in applied statistics.In particular, this methodology has received considerable attention in recent studiesin empirical finance. In this talk we discuss selected topics of functional principalcomponents analysis that are motivated by...

Trading, hedging and risk analysis of complex option portfolios depend on accurate pricing models. The modelling of implied volatilities (IV) plays an important role, since volatility is the crucial parameter in the Black-Scholes (BS) pricing formula. It is well known from empirical studies that...