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Optimal allocation to deferred income annuities
- Publication Year :
- 2021
-
Abstract
- In this paper we employ a lifecycle model that uses utility of consumption and bequest to determine an optimal Deferred Income Annuity (DIA) purchase policy. We lay out a mathematical framework to formalize the optimization process. The method and implementation of the optimization is explained, and the results are then analyzed. We extend our model to control for asset allocation and show how the purchase policy changes when one is allowed to vary asset allocation. Our results indicate that(i) refundable DIAs are less appealing than non-refundable DIAs because of the loss of mortality credits; (ii) the DIA allocation region is larger under the fixed asset allocation strategy due to it becoming a proxy for fixed-income allocation; and (iii) when the investor is allowed to change asset-allocation, DIA allocation becomes less appealing. However, a case for higher DIA allocation can be made for those individuals who perceive their longevity to be higher than the population.
- Subjects :
- Statistics and Probability
Economics and Econometrics
Bequest
Population
Asset allocation
Microeconomics
FOS: Economics and business
Portfolio Management (q-fin.PM)
0502 economics and business
Economics
050207 economics
Proxy (statistics)
education
Quantitative Finance - Portfolio Management
Stochastic control
Consumption (economics)
education.field_of_study
050208 finance
05 social sciences
Deferred income
Optimal control
Annuity (American)
Optimal allocation
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
Fixed asset
Statistics, Probability and Uncertainty
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....b38090d7c8760b2dfbc8351a453f13e1