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An Evolutionary Finance Model with a Risk-Free Asset

Sergei Belkov, Igor V. Evstigneev and Thorsten Hens
Additional contact information
Igor V. Evstigneev: University of Manchester
Thorsten Hens: University of Zurich, Norwegian School of Economics and Business Administration (NHH), and Swiss Finance Institute

No 17-28, Swiss Finance Institute Research Paper Series from Swiss Finance Institute

Abstract: The purpose of this work is to develop an evolutionary finance model with a risk-free asset playing the role of a numeraire. The model describes a market where one risk-free and several "short-lived" risky assets (securities) are traded in discrete time. The risky securities live one period, yield random payoffs at the end of it, and then are identically re-born at the beginning of the next period. The main goal of the study is to identify investment strategies that make it possible for an investor to "survive" in the market selection process. It is shown that a strategy of this kind exists, is in a sense asymptotically unique and can be described by a simple explicit formula amenable for quantitative investment analysis.

Keywords: Evolutionary finance; Survival portfolio rules; Risk-free asset; Random dynamical systems. (search for similar items in EconPapers)
JEL-codes: C73 D52 G11 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2017-11
New Economics Papers: this item is included in nep-evo
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Citations: View citations in EconPapers (4)

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