Sergiy Gerasymchuk
SERGIY GERASYMCHUK
updated: 10 March 2008
Working papers
 
January 2008
Abstract. We study S-shaped utility maximization for the standard portfolio selection problem with one risky and one risk-free asset. We derive a mean-variance criterium of choice, which preserves reference dependence and the reflection effect. Subsequently we study diversification possibilities and obtain the demand for the risky asset. We close the paper with an alternative interpretation of the criterium in terms of target-based decision making.
 
January 2008
Abstract. We study a model of a financial market populated with heterogenous agents whose preferences exhibit dependence on some reference level of wealth. Investment decisions of the agents are myopic and are based upon the demand for the risky asset derived from an S-shaped utility maximization. The specific demand form allows to model both heterogeneity of the system relative to the reference points of the agents and heterogeneity with respect to their beliefs about the future asset return. We analyze the impact of the former layer of heterogeneity on the asset return and wealth dynamics.
 
March 2007
Abstract. We propose a simple model of a financial market populated with heterogeneous agents. The market represents a network with nodes symbolizing the agents and edges standing for connections between them, thus, embodying local interactions in the market. By local interactions we mean any kind of interplay between the decisions of the agents unaffected by the market mechanism and unrelated to the physical distance between the agents. Using the rewiring procedure we restructure a network from regular lattice to random graph by varying the probability of the agents to switch from one trading strategy to another. We study how the network structure affects the asset price dynamics. The results show that for some intermediate values of the probability to switch, corresponding to a small world network, the price dynamics become reminiscent of the real data. While for the boundary values of the probability the dynamics lacks some typical features of the real financial markets. (with Valentyn Panchenko and Oleg V. Pavlov)
Research interests
 
Financial markets, multi-agent systems, behavioral decision making, bounded rationality, portfolio selection, nonlinear economic dynamics, social networks.

Hi there! I finished my Ph.D. and moved to Amsterdam. You can reach me by mobile +31615166789 or via e-mail: sergiy.gera@gmail.com

10 August 2008
Research links
 
Mikhail Anufriev CeNDEF, Dept. of Quantitative Economics, University of Amsterdam
William Brock Dept. of Economics, University of Wisconsin at Madison
Carl Chiarella QFRC, School of Finance and Economics, University of Technology Sydney
Cars Hommes CeNDEF, Dept. of Quantitative Economics, University of Amsterdam
Blake LeBaron International Business School, Brandeis University
Moshe Levy Jerusalem School of Business Administration, Hebrew University
Marco LiCalzi Dept. of Applied Mathematics, University of Venice
Valentyn Panchenko School of Economics, University of New South Wales
Oleg V. Pavlov Dept. of Social Science and Policy Studies, Worcester Polytechnic Institute
Paolo Pellizzari Dept. of Applied Mathematics, University of Venice
Leigh Tesfatsion
Dept. of Economics, Iowa State University
Hobbies and interests
 
These include electronic music, unusual films, football, bridge, travelling. For several years I was a charitable Leo Club active member. I prefer healthy (slow) food and sporty life-style. I love cats and adore autumn.
Ph.D. dissertation
 
Abstract. The Ph.D. thesis is devoted to the study of two economic phenomena, namely reference dependence and social interactions, applied to financial markets. In Chapter 1 we study S-shaped utility maximization for the standard portfolio selection problem. We derive a mean-variance criterium of choice, which preserves reference dependence and the reflection effect. Subsequently we study diversification possibilities and obtain the demand for the risky asset. The model of a financial market presented in Chapter 2 assumes heterogeneity of agents with respect to both their reference points and their beliefs. We analyze the impact of the former layer of heterogeneity on the asset return and wealth dynamics. The results reveal that different reference points of the agents can lead to market instabilities and persistent trading volume even if their beliefs are kept homogeneous. In Chapter 3 we propose a model of a financial market populated with heterogeneous belief agents. Every period each agent chooses a predictor of the future price on the basis of the past performance of own and alternative strategies of the directly connected to her agents. Using the rewiring procedure we construct four types of commonly considered networks and investigate the effects of their topology on the asset price dynamics. We show that network structure does influence price dynamics due to the different speed of information exchange.
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Copyright © 2006-2008 Sergiy Gerasymchuk

Ph.D. candidate in Economics and Organization
Advanced School of Economics,
University of Venice
Isola di San Servolo, Venice 30100, Italy

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