The paper focuses on the problem of pricing and hedging a European contingent claim for an incomplete market model, in which evolution of price processes for a saving account and stocks depends on an observable Markov chain. The pricing function is evaluated using the martingale approach. The...

We consider a finite horizon discrete time model for bond market where bond prices are functions of the short rate process. We use a variant of the Ito's formula to decompose the bond price process into unique drift and martingale processes. We then apply the Girsanov's Theorem for finding a...

This work deals with time series with flexible conditional variance which is changing according to past observations and values of past volatilities. We consider a class of ARCH-type models as a special case of GARCH models and its extension GARCH-M  Stationarity, estimation procedures, and LM...

We consider a standard two-player all-pay auction with private values, where the valuation for the object is private information to each bidder. The crucial feature is that one bidder is favored by the allocation rule in the sense that he need not bid as much as the other bidder to win the...

Die vorliegende Arbeit befa_t sich mit der Bewertung von Down-and-out Calls. Es werden die Vertragseigenschaften und das resultierende Hedgeportfolio untersucht und die Unterschiede zu einem europdischen Call verdeutlicht. Daneben stehen unterschiedliche Bewertungsverfahren im Mittelpunkt des...

The paper developes a general arbitrage free model for the term structure of interest rates. The principal model is formulated in a discrete time structure. It differs substantially from the Ho--Lee-- Model (1986) and does not generate negative spot and forward rates. The results for the...