It is well-known that Gaussian hedging strategies are robust in the sense that they always lead to a cost process of bounded variation and that a superhedge is possible if upper bounds on the volatility of the relevant processes are available, cf. El Karoui, Jeanblanc-Picque and Shreve (1998)...

The quarterly International Economic Trends is a compilation of data on the G-7 countries and the euro area, including output, inflation, labor markets, interest rates, government budgets, international trade, and more. A brief essay in each issue covers a topic relevant to international economics.

The scaling function from multiresolution analysis can be used to constuct asmoothing tool in the context of time series analysis. We give a -based timeseries smoothing function for which we show the properties of a quasilinearmoving average. Furthermore, we discuss its features and especially...

At first time in the 124 years old history of the International Statistical Institute (ISI) a session was hold in southern of the Sahara region in Africa, from 16 to 22 August in Durban/South Africa. Hence Denise Lievesley, first female president of ISI said in the Opening Ceremony: „I hope...

This paper discusses the pitfalls in the pricing of barrier options using approximations of the underlying continuous processes via discrete lattice models. These problems are studied first in a Black-Scholes model. Improvements result from a trinomial model and a further modified model where...

In this paper we study Binomial Models with random time steps. We explain, how calculating values for European and American Call and Put options is straightforward for the Random-Time Binomial Model. We present the conditions to ensure weak-convergence to the Black-Scholes setup and convergence...

The problem of term structure of interest rates modelling is considered in a continuous-time framework. The emphasis is on the bond prices, forward bond prices or LIBOR rates, rather than on the instantaneous rates as in the traditional models. Forward and spot probability measures are...

The forward measure in the discrete time Ho/Lee model is derived and passages to the continuous time limit are carried out under this measure. In particular the continuous time valuation formula for call options on zero coupon bonds is obtained as a limit of its discrete time equivalent as well...

Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (1988) we derive an almost sure limit theorem for families of random matrices with a multiparameter which satisfy a supermultiplicativity condition. This gives a multiparameter analogue of results of...