A unique optimal stock–bond mix for all long-run investors

Research output: Contribution to journalArticlepeer-review

Abstract

Life expectancy has increased significantly over the last century, implying a substantial lengthening of the investment horizon. We consider the portfolio choice problem of long-run investors in a setting with three assets: stocks, risky bonds, and a risk-free asset. We show that in the benchmark continuous-time framework there is a unique stock–bond mix that is optimal for all investors with non-decreasing preferences, including Prospect Theory investors, and investors with various aspiration levels. In discrete time, there is a set of efficient stock–bond mixtures. As the investment horizon increases, this set shrinks quickly and converges to the unique continuous-time optimal solution.

Original languageEnglish
JournalAnnals of Operations Research
DOIs
StateAccepted/In press - 2023

Keywords

  • First-degree Stochastic Dominance (FSD)
  • Investment horizon
  • Lognormal distribution
  • Prospect theory
  • Stocks versus bonds

All Science Journal Classification (ASJC) codes

  • General Decision Sciences
  • Management Science and Operations Research

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