A discrete time model of financial markets is considered. It is assumed that the stock price evolution is described by a homogeneous Markov chain. In the focus of attention is the expected value of the guaranteed profit of the investor that arises when the jumps of the stock price are bounded....

A discrete time model of financial markets is considered. It is assumed that the relative jumps of the risky security price are independent non-identically distributed random variables. In the focus of attention is the expected non-risky profit of the investor that arises when the jumps of the...

This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...

Based on experimental evidence, I adjust the standard currency option pricing models for the anchoring heuristic of Tversky and Kahneman (1974). Anchoring provides an explanation for the market practice of using risk-reversals as sentiment proxy. While generating currency smiles even with...

Using daily options prices on the Eurostoxx 50 stock index over the whole year 2008, we compare the performance of three popular stochastic volatility models (Heston, 1993; Bates, 1996; Heston and Nandi, 2'007, in addition to the traditional Black-Scholes model and a proprietary trading desk model. We...

What happens when the anchoring and adjustment heuristic of Tversky and Kahneman (1974) is incorporated in currency option models? Surprisingly, it generates the peculiar features of currency smiles within the Black-Scholes framework, while adding power to stochastic volatility and jump...

In incomplete markets, risk judgments regarding options are necessary as options cannot be replicated by using the underlying stock and the risk-free asset. How are such risk judgments formed? Underlying stock risk is a natural starting point for call option risk as the two assets pay off in the...

There is a set of corporate situations, when there is an exchange of one asset for another, for example, the offer on an exchange of corporate securities. Special case of such offer is the exchange the preferred share which are available for the company on ordinary share. Application of models...