Optimal Retirement Planning Under Partial Information
28 Pages Posted: 5 Dec 2018
Date Written: June 29, 2018
The present paper analyses an optimal consumption and investment problem of a retiree with a constant relative risk aversion (CRRA) who faces parameter uncertainty about the financial market.
We solve the optimization problem under partial information by making the market observationally complete and consequently applying the martingale method to obtain closed-form solutions to the optimal consumption and investment strategies. Further, we provide some comparative statics and numerical analyses to deeply understand the consumption and investment behavior under partial information. Bearing partial information has little impact on the optimal consumption level, but it makes retirees with a RRA smaller than one invest more riskily, while it makes retirees with a RRA larger than one invest more conservatively.
Keywords: Partial Information, Optimal Consumption, Optimal Asset Allocation, CRRA
JEL Classification: C6, G1, D9
Suggested Citation: Suggested Citation