{"title":"Optimal Asset Management for Defined-Contribution Pension Funds with Default Risk","authors":"Shibo Bian, James E. Cicon, Yi Zhang","doi":"10.21314/jor.2016.346","DOIUrl":null,"url":null,"abstract":"We explore how a defined-contribution pension fund optimally distributes wealth between a defaultable bond, a stock and a bank account, given that a salary is a stochastic process. We assume that the investment objective of the defined-contribution pension fund is to maximize the expected constant relative risk aversion utility of terminal wealth. We thus obtain a closed-form solution to the optimal problem using a martingale approach. We develop numerical simulations, which we graph as illustrations. Finally, we discuss relevant economic insights obtained from our results.","PeriodicalId":46697,"journal":{"name":"Journal of Risk","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2016-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Risk","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.21314/jor.2016.346","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
引用次数: 0
Abstract
We explore how a defined-contribution pension fund optimally distributes wealth between a defaultable bond, a stock and a bank account, given that a salary is a stochastic process. We assume that the investment objective of the defined-contribution pension fund is to maximize the expected constant relative risk aversion utility of terminal wealth. We thus obtain a closed-form solution to the optimal problem using a martingale approach. We develop numerical simulations, which we graph as illustrations. Finally, we discuss relevant economic insights obtained from our results.
期刊介绍:
This international peer-reviewed journal publishes a broad range of original research papers which aim to further develop understanding of financial risk management. As the only publication devoted exclusively to theoretical and empirical studies in financial risk management, The Journal of Risk promotes far-reaching research on the latest innovations in this field, with particular focus on the measurement, management and analysis of financial risk. The Journal of Risk is particularly interested in papers on the following topics: Risk management regulations and their implications, Risk capital allocation and risk budgeting, Efficient evaluation of risk measures under increasingly complex and realistic model assumptions, Impact of risk measurement on portfolio allocation, Theoretical development of alternative risk measures, Hedging (linear and non-linear) under alternative risk measures, Financial market model risk, Estimation of volatility and unanticipated jumps, Capital allocation.