A network approach to risk theory and portfolio selection

Roy Cerqueti

doi:10.1007/978-3-319-50234-2_6

A network approach to risk theory and portfolio selection

Roy Cerqueti

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In the context of portfolio theory, the evaluation of risk is of paramount relevance. In this respect, the connections among the risky assets of the portfolio should be carefully explored. This paper elaborates on this topic. We define a portfolio through a network, whose nodes are the assets composing it. The weights on the nodes and the arcs represent the share of capital invested on the assets and the dependence among them, respectively. The risk profile of the portfolio will be given through a suitably defined risk measure on the portfolio-network. The standard Markowitz theory will be rewritten in this particular setting. Surprisingly, we will note that the resulting decision problem is not consistent with an adapted version of the axiomatization of the standard expected utility theory.

Original language	English
Title of host publication	Mathematical and Statistical Methods for Actuarial Sciences and Finance
Publisher	Springer
DOIs	https://doi.org/10.1007/978-3-319-50234-2_6
Publication status	Published - 30 Dec 2017
Externally published	Yes

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A network approach to risk theory and portfolio selection

Abstract

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