Markov decision process algorithms for wealth allocation problems with defaultable bonds

This paper is concerned with analysing optimal wealth allocation techniques within a defaultable financial market similar to Bielecki and Jang (2007). It studies a portfolio optimization problem combining a continuous-time jump market and a defaultable security; and presents numerical solutions thro...

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Main Authors: Pérez López, Iker, Hodge, David, Le, Huiling
Format: Article
Language:English
Published: Applied Probability Trust 2016
Subjects:
Online Access:https://eprints.nottingham.ac.uk/31020/
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author Pérez López, Iker
Hodge, David
Le, Huiling
author_facet Pérez López, Iker
Hodge, David
Le, Huiling
author_sort Pérez López, Iker
building Nottingham Research Data Repository
collection Online Access
description This paper is concerned with analysing optimal wealth allocation techniques within a defaultable financial market similar to Bielecki and Jang (2007). It studies a portfolio optimization problem combining a continuous-time jump market and a defaultable security; and presents numerical solutions through the conversion into a Markov decision process and characterization of its value function as a unique fixed point to a contracting operator. This work analyses allocation strategies under several families of utilities functions, and highlights significant portfolio selection differences with previously reported results.
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spelling nottingham-310202017-10-16T17:02:35Z https://eprints.nottingham.ac.uk/31020/ Markov decision process algorithms for wealth allocation problems with defaultable bonds Pérez López, Iker Hodge, David Le, Huiling This paper is concerned with analysing optimal wealth allocation techniques within a defaultable financial market similar to Bielecki and Jang (2007). It studies a portfolio optimization problem combining a continuous-time jump market and a defaultable security; and presents numerical solutions through the conversion into a Markov decision process and characterization of its value function as a unique fixed point to a contracting operator. This work analyses allocation strategies under several families of utilities functions, and highlights significant portfolio selection differences with previously reported results. Applied Probability Trust 2016-06-10 Article NonPeerReviewed application/pdf en https://eprints.nottingham.ac.uk/31020/8/template.%20Perez%20Markov.pdf Pérez López, Iker, Hodge, David and Le, Huiling (2016) Markov decision process algorithms for wealth allocation problems with defaultable bonds. Advances in Applied Probability, 48 (2). pp. 392-405. ISSN 1475-6064 Portfolio Optimization; Defaultable Bonds; Markov Decision Processes https://www.cambridge.org/core/journals/advances-in-applied-probability/article/div-classtitlemarkov-decision-process-algorithms-for-wealth-allocation-problems-with-defaultable-bondsdiv/8FEE0154696E0725DBDE8AEA7AA03838 doi:10.1017/apr.2016.6 doi:10.1017/apr.2016.6
spellingShingle Portfolio Optimization; Defaultable Bonds; Markov Decision Processes
Pérez López, Iker
Hodge, David
Le, Huiling
Markov decision process algorithms for wealth allocation problems with defaultable bonds
title Markov decision process algorithms for wealth allocation problems with defaultable bonds
title_full Markov decision process algorithms for wealth allocation problems with defaultable bonds
title_fullStr Markov decision process algorithms for wealth allocation problems with defaultable bonds
title_full_unstemmed Markov decision process algorithms for wealth allocation problems with defaultable bonds
title_short Markov decision process algorithms for wealth allocation problems with defaultable bonds
title_sort markov decision process algorithms for wealth allocation problems with defaultable bonds
topic Portfolio Optimization; Defaultable Bonds; Markov Decision Processes
url https://eprints.nottingham.ac.uk/31020/
https://eprints.nottingham.ac.uk/31020/
https://eprints.nottingham.ac.uk/31020/