Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Scandinavian Actuari...arrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
Scandinavian Actuarial Journal
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
versions View all 2 versions
addClaim

This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

Optimal portfolio choice under kinked power utility

Authors: Pelsser, Antoon; Yang, Li;

Optimal portfolio choice under kinked power utility

Abstract

We extend the kinked power utility function by allowing a different risk aversion level in the two parts contained in the utility function. We maximize the expected utility of the replacement ratio at retirement that is wealth at retirement to a stochastic benchmark, for plan members in a defined contribution pension plan in a complete market. We derive closed-form optimal solutions under risk aversion and loss aversion implied by the kinked power utility. We find that plan members under kinked power utility tend to de-risk around the reference level, which could lead to a great proportion of the replacement ratio at retirement being on the reference level, while a small variation in the proportion of the replacement ratio at retirement ending up in the left tail. When the reference level is set at 100%, and the market price for future pension premiums (the value of initial capital) is lower than that for the benchmark, a lower risk aversion level when the replacement ratio falls below the reference level, could lead to a significant increase in the proportion of the replacement ratio at retirement being not below the reference level.

Related Organizations
Keywords

Optimization Techniques; Programming Models; Dynamic Analysis, General Equilibrium and Disequilibrium: Financial Markets, inflation-indexed pension benefits, g11 - "Portfolio Choice; Investment Decisions", life-cycle investment, stochastic optimal control, d53 - General Equilibrium and Disequilibrium: Financial Markets, state-dependent utility, Portfolio Choice; Investment Decisions, Benchmark-driven investment, c61 - "Optimization Techniques; Programming Models; Dynamic Analysis"

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
hybrid
Related to Research communities