It is common practice in most insurance lines for the coverage to be restricted by a deductible. In the paper we investigate the influence of deductibles on pure risk premiums. We derive simple but practical formulae for premiums under franchise, fix amount, proportional, limited proportional...

In this paper we address the issue of modeling and forecasting electricity loads. We apply a two-step procedure to a series of system-wide loads from the California power market. First, we remove the weekly and annual seasonalities. Then, after analyzing properties of the deseasonalized data we...

CONTENTS: 1.Introduction; 2.Financial market; 3.Securities; 4.Forwards, futures and options; 5.Financial mathematics of discrete models; 6.Financial mathematics of continuous models; 7.Term structure modeling; 8.Construction and pricing of exotic derivatives; 9.Statistics of financial markets;...

CONTENTS: Preliminary remarks; Brownian motion, poisson process, alpha-stable Levy motion; Computer simulation of alpha-stable random variables; Stochastic integration; Spectral representations of stationary processes; Computer approximations of continuous time processes; Examples of...

CONTENTS: 1.Introduction; 2.Financial market; 3.Electricity market; 4.Power exchange; 5.Forwards, futures and options; 6.Risk management; 7.Software (SPIS TRESCI: 1.Wprowadzenie; 2.Rynek finansowy; 3.Rynek energii elektrycznej; 4.Gielda energii elektrycznej; 5.Kontrakty terminowe; 6.Zarzadzanie...

The purpose of this paper is to show that using the toolkit of interest rate theory, already well known in financial engineering as the HJM model [D. Heath, R. Jarrow, A. Morton, Econometrica 60, 77 (1992)], it is possible to derive explicite option pricing formula and calibrate the theoretical...

In this paper we apply a new approach to build bidding strategies for power suppliers on electricity market and assume that each supplier’s bid is a linear function. Moreover each supplier tends to maximise his profit and minimize his risk, which are dependent on the generation output,...

In this paper we consider a jump-diffusion type approximation of the classical risk process by a gamma Levy process. We derive here the asymptotic behavior (lower and upper bounds) of the finite time ruin probability for any gamma Levy process.

The earliest model of stock prices based on Brownian diffusion is the Bachelier model. In this paper we propose an extension of the Bachelier model, which reflects the subdiffusive nature of the underlying asset dynamics. The subdiffusive property is manifested by the random (infinitely...

In this paper we discuss subdiffusive mechanism for the description of some stock markets. We analyse the fractional Black–Scholes model in which the price of the underlying instrument evolves according to the subdiffusive geometric Brownian motion. We show how to efficiently estimate the...