Optimal portfolio for a defined-contribution pension plan under a constant elasticity of variance model with exponential utility

2020 ◽  
Vol 15 (5) ◽  
pp. 1001-1009
Author(s):  
Xiaoqian Sun ◽  
Xuelin Yong ◽  
Jianwei Gao
Keyword(s):  
Pension Plan ◽  
Optimal Portfolio ◽  
Exponential Utility ◽  
Defined Contribution ◽  
Variance Model ◽  
Constant Elasticity ◽  
Constant Elasticity Of Variance ◽  
Defined Contribution Pension Plan

scholarly journals Determining Equivalent Administrative Charges for Defined Contribution Pension Plans under CEV Model

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Hongjing Chen ◽  
Zheng Yin ◽  
Tianhao Xie
Keyword(s):  
Pension Plan ◽  
Pension Plans ◽  
Defined Contribution ◽  
Power Utility ◽  
Cev Model ◽  
Constant Elasticity ◽  
Constant Elasticity Of Variance ◽  
The Maximum Principle ◽  
Equivalent Equation ◽  
Defined Contribution Pension Plan

In defined contribution pension plan, the determination of the equivalent administrative charges on balance and on flow is investigated if the risk asset follows a constant elasticity of variance (CEV) model. The maximum principle and the stochastic control theory are applied to derive the explicit solutions of the equivalent equation about the charges. Using the power utility function, our conclusion shows that the equivalent charge on balance is related to the charge on flow, risk-free interest rate, and the length of accumulation phase. Moreover, numerical analysis is presented to show our results.

scholarly journals Optimal Reinsurance-Investment Problem under a CEV Model: Stochastic Differential Game Formulation

2020 ◽  
Vol 2020 ◽  
pp. 1-19 ◽  
Author(s):  
Danping Li ◽  
Ruiqing Chen ◽  
Cunfang Li
Keyword(s):  
Differential Game ◽  
Exponential Utility ◽  
Insurance Companies ◽  
Stochastic Differential Game ◽  
Investment Strategies ◽  
Small Company ◽  
Cev Model ◽  
Constant Elasticity ◽  
Optimal Reinsurance ◽  
Constant Elasticity Of Variance

This paper focuses on a stochastic differential game played between two insurance companies, a big one and a small one. In our model, the basic claim process is assumed to follow a Brownian motion with drift. Both of two insurance companies purchase the reinsurance, respectively. The big company has sufficient asset to invest in the risky asset which is described by the constant elasticity of variance (CEV) model and acquire new business like acting as a reinsurance company of other insurance companies, while the small company can invest in the risk-free asset and purchase reinsurance. The game studied here is zero-sum where there is a single exponential utility. The big company is trying to maximize the expected exponential utility of the terminal wealth to keep its advantage on surplus while simultaneously the small company is trying to minimize the same quantity to reduce its disadvantage. In this paper, we describe the Nash equilibrium of the game and prove a verification theorem for the exponential utility. By solving the corresponding Fleming-Bellman-Isaacs equations, we derive the optimal reinsurance and investment strategies. Furthermore, numerical examples are presented to show our results.

The effect of age on portfolio choices: evidence from an Italian pension fund

2014 ◽  
Vol 13 (4) ◽  
pp. 389-419 ◽  
Author(s):  
GIUSEPPE CAPPELLETTI ◽  
GIOVANNI GUAZZAROTTI ◽  
PIETRO TOMMASINO
Keyword(s):  
Stock Prices ◽  
Older Workers ◽  
Fixed Effects ◽  
Pension Plan ◽  
Defined Contribution ◽  
Risky Assets ◽  
Portfolio Choices ◽  
Defined Contribution Pension Plan ◽  
Recent Financial Crisis ◽  
Effect Of Age

AbstractAccording to optimal portfolio theories, investors should reduce their exposure to stock market risk as they grow old. Indeed, older workers, with only a few years left before retirement, are particularly vulnerable to unexpected falls in stock prices. Despite the theoretical and – as shown by the recent financial crisis – policy relevance of the issue, empirical evidence on this topic has been scant and inconclusive. The aim of the present paper is to assess the effect of age on portfolio choices, using a new panel dataset from an Italian defined-contribution pension plan. We find that on average holdings of risky assets do indeed significantly decrease with age. However, the effect is non-linear, being much stronger in the last part of one's career. Moreover, we also document that inertial behaviour is quite widespread, and can be very costly. Results are confirmed when we control for individual fixed effects and cohort effects.

Generating effective defined-contribution pension plan using simulation optimization approach

2012 ◽  
Vol 39 (3) ◽  
pp. 2684-2689 ◽  
Author(s):  
Tzu-Yi Yu ◽  
Hong-Chih Huang ◽  
Chun-Lung Chen ◽  
Qun-Ting Lin
Keyword(s):  
Simulation Optimization ◽  
Pension Plan ◽  
Optimization Approach ◽  
Defined Contribution ◽  
Defined Contribution Pension Plan

The effects of risk aversion and density of contribution on comparisons of administrative charges in individual account pension systems

2016 ◽  
Vol 16 (1) ◽  
pp. 1-20 ◽  
Author(s):  
LUIS CHAVEZ-BEDOYA
Keyword(s):  
Risk Aversion ◽  
Pension System ◽  
Pension Plan ◽  
Defined Contribution ◽  
Individual Retirement Accounts ◽  
Terminal Wealth ◽  
Individual Account ◽  
Retirement Accounts ◽  
Defined Contribution Pension Plan ◽  
Accumulation Phase

AbstractThis paper studies the effects of risk aversion and density of contribution (DoC) on comparisons of proportional charges on flow (contributions) and balance (assets) during the accumulation phase of a defined-contribution pension plan in a system of individual retirement accounts. If the participant's degree of risk aversion increases and both charges yield the same expected terminal wealth, then the charge on balance improves with respect to the charge on flow when performing comparisons that examine the ratio between the resulting expected utilities of terminal wealth. When this methodology is applied to the Peruvian Private Pension System, empirical results demonstrate that the aforementioned result also holds for arbitrary charges on flow and balance and that the effect of DoC on these comparisons is nearly negligible for most of the assessed scenarios.

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