We introduce a new approach to model the market smile for inflation-linked derivatives by defining the Quadratic Gaussian Year-on-Year inflation model -- the QGY model. We directly define the model in terms of a year-on-year ratio of the inflation index on a discrete tenor structure, which,...

We propose the eigenfunction expansion method for pricing options in linear-quadratic terms structure models. The eigenvalues, eigenfunctions and adjoint functions are calculated using elements of the representation theory of Lie algebras not only in the self-adjoint case but in non-selfadjoint...

This paper proposes and studies an optimal placement problem in a limit order book. To gain some analytical insights, a simple correlated random walk model with mean-reversion is proposed for the best ask price. Optimal placement strategies for both single-period and multi-period cases are...

Order positions are key variables in algorithmic trading. This paper studies the limiting behavior of order positions and related queues in a limit order book. In addition to the fluid and diffusion limits for the processes, fluctuations of order positions and related queues around their fluid...

Concerned with the risk of supplier default, a firm may choose to diversify its orders among multiple suppliers. Furthermore, the discrepancy in production lead-times among suppliers furnishes a firm with a valuable option to defer ordering decisions until uncertainty has been partially...

The formation of the European Union (EU) is the one of the biggest political – economic events of the last 50 years. The aim of this study is to develop EU economy functioning system dynamic model. Main research method is system dynamics. General scheme of EU economy system dynamic model is...

The paper discusses implementation of a research that is aimed at development of a simulation model which would allow analyzing different development strategies of the third generation university. Small countries’ universities have limits of growth. The problem can be solved with a new...

Individual decision making is based on predictions about other players' choices as well as on valuations of reactions to predictions. In this sense, a player has a prediction-decision criterion for decision making. We develop a theory of prediction-decision criteria, which enables us to capture...

Agent-based computational economics (ACE) has been attracting attention in recent years. This method, however, is challenging because of the complexity of the model’s structure due to the coexistence of systems for decision-making and those involved in financial transactions. Further, ACE...

In many applications including financial risk measurement a certain class of multivariate distribution functions, copulas, has shown to be a powerful building block to reflect multivariate dependence between several random variables including the mapping of tail dependencies. A key result in...