Optimal investment, heterogeneous consumption and best time for retirement
| Autor: | Hyun Jin Jang, Zuo Quan Xu, Harry Zheng |
|---|---|
| Přispěvatelé: | Engineering & Physical Science Research Council (EPSRC) |
| Rok vydání: | 2022 |
| Předmět: |
History
Operations Research Polymers and Plastics Management Science and Operations Research Industrial and Manufacturing Engineering Computer Science Applications FOS: Economics and business Portfolio Management (q-fin.PM) Risk Management (q-fin.RM) 0102 Applied Mathematics 1503 Business and Management Business and International Management Quantitative Finance - Portfolio Management Quantitative Finance - Risk Management 0802 Computation Theory and Mathematics |
| Popis: | This paper studies an optimal investment and consumption problem with heterogeneous consumption of basic and luxury goods, together with the choice of time for retirement. The utility for luxury goods is not necessarily a concave function. The optimal heterogeneous consumption strategies for a class of non-homothetic utility maximizer are shown to consume only basic goods when the wealth is small, to consume basic goods and make savings when the wealth is intermediate, and to consume almost all in luxury goods when the wealth is large. The optimal retirement policy is shown to be both universal, in the sense that all individuals should retire at the same level of marginal utility that is determined only by income, labor cost, discount factor as well as market parameters, and not universal, in the sense that all individuals can achieve the same marginal utility with different utility and wealth. It is also shown that individuals prefer to retire as time goes by if the marginal labor cost increases faster than that of income. The main tools used in analyzing the problem are from PDE and stochastic control theory including variational inequality and dual transformation. We finally conduct the simulation analysis for the featured model parameters to investigate practical and economic implications by providing their figures. |
| Databáze: | OpenAIRE |
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