Bond Portfolio Selection in the Cox-Ingersoll-Ross Framework by the Probabilistic Criterion

Author:

Sobol V.R.1ORCID,Torishniy R.O.1ORCID

Affiliation:

1. Moscow Aviation Institute (National Research University) (MAI)

Abstract

<p>The problem of bond portfolio selection is considered in Cox-Ingersoll-Ross framework. The probability function is chosen as an optimality criterion, which leads to a stochastic optimization problem, The problem is solved using a smooth approximation of the probability function and its derivatives via gradient projection method. An example is provided.</p>

Publisher

Moscow State University of Psychology and Education

Subject

Polymers and Plastics,General Environmental Science

Reference12 articles.

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3. Grigor'ev P.V., Kan Yu.S. Optimal'noe upravlenie po kvantil'nomu kriteriyu portfelem cennyh bumag // Avtomatika i telemekhanika. 2004. № 2. pp. 179–197.

4. Ignatov A.N., Kibzun A.I. Dvuhshagovaya zadacha formirovaniya portfelya cennyh bumag iz dvuh riskovyh aktivov po veroyatnostnomu kriteriyu // Avtomatika i telemekhanika. 2015. №7. P. 78–100.

5. Kan Yu.S., Kibzun A.I. Zadachi stohasticheskogo programmirovaniya s veroyatnostnymi kriteriyami. M.: Fizmatlit, 2009.

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