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Optimal investment with insurable background risk and nonlinear portfolio allocation frictions

dc.contributor.gruplacGrupo de investigaciones. Facultad de Economía. Universidad del Rosario
dc.creatorRamírez, H
dc.creatorSerrano Perdomo, Rafael Antonio
dc.date.accessioned2023-03-13T12:41:24Z
dc.date.available2023-03-13T12:41:24Z
dc.date.created2023-03-09
dc.date.issued2023-03-07
dc.description.abstractWe study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a jump-diffusion process with negative jumps in the return rate of the (self-financed) wealth. The main distinctive feature of our model is that the agent’s decision on portfolio choice and insurance demand causes nonlinear friction in the dynamics of the wealth process. We use the dynamic programming approach to find optimality conditions under which the agent assumes the insurable risk entirely, or partially, or purchases total insurance against it. In particular, we consider differential and piece-wise linear portfolio allocation frictions, with differential borrowing and lending rates as our most emblematic example. Finally, we present a mutual-fund separation result and illustrate our results with several numerical examples when the adverse jump risk has Beta distribution.
dc.format.extent26 pp
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.48713/10336_38218
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/38218
dc.language.isoeng
dc.publisherUniversidad del Rosario
dc.publisher.departmentFacultad de Economía
dc.relation.urihttps://ideas.repec.org/p/col/000092/020658.html
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 International*
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/*
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dc.source.instnameinstname:Universidad del Rosario
dc.source.reponamereponame:Repositorio Institucional EdocUR
dc.subject.keywordPortfolio allocation
dc.subject.keywordInsurance demand
dc.subject.keywordCRRA utility
dc.subject.keywordBackground risk
dc.subject.keywordJump-diffusions
dc.subject.keywordDynamic programming
dc.subject.keywordDifferential rates
dc.subject.keywordFund separation Theorem
dc.titleOptimal investment with insurable background risk and nonlinear portfolio allocation frictions
dc.typeworkingPaper
dc.type.hasVersioninfo:eu-repo/semantics/draft
dc.type.spaDocumento de Trabajo
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