Investor’s Power Utility Optimization with Consumption, Tax, Dividend and Transaction Cost under Constant Elasticity of Variance Model
Asian Research Journal of Mathematics · pp. 1–12 · Published 20 May 2017
10.9734/ARJOM/2017/33425Abstract
This work considered an investor’s portfolio where consumption, taxes, transaction costs and dividends are in involved, under constant elasticity of variance (CEV). The stock price is assumed to be governed by a constant elasticity of variance CEV model and the goal is to maximize the expected utility of consumption and terminal wealth where the investor has a power utility preference. The application of dynamic programming principles, specifically the maximum principle obtained the Hamilton-Jacobi-Bellman (HJB) equation for the value function on which elimination of variable dependency was applied to obtain the close form solution of the optimal investment and consumption strategies. It is found that optimal investment on the risky asset is horizon dependent.
References (25)
- 1 Optimum consumption and portfolio rules in a continuous-time model [DOI]
- 2 Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case [DOI]
- 3 The valuation of options for alternative stochastic processes [DOI]
- 4 Portfolio Selection in Stochastic Environments [DOI]
- 5 Optimal Investment and Consumption with Transaction Costs [DOI]
- 6 Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints [DOI]
- 7 Pricing and Hedging Path-Dependent Options Under the CEV Process [DOI]
- 8 Asymptotic analysis for optimal investment and consumption with transaction costs [DOI]
- 9 Ordinary Differential Equations [DOI]
- 10 The constant elasticity of variance (CEV) model and the Legendre transform–dual solution for annuity contracts [DOI]
- 11 Optimal control of excess-of-loss reinsurance and investment for insurers under a CEV model [DOI]
- 12 On an Investment-Consumption Model with Transaction Costs [DOI]
- 13 Pricing Lookback and Barrier Options under the CEV Process [DOI]
- 14 Constant elasticity of variance model for proportional reinsurance and investment strategies [DOI]
- 15 An Optimal Investment/Consumption Model with Borrowing [DOI]
- 16 Optimal Reinsurance and Investment for a Jump Diffusion Risk Process under the CEV Model [DOI]
- 17 Optimal investment strategy for annuity contracts under the constant elasticity of variance (CEV) model [DOI]
- 18 Optimal Consumption and Portfolio Choice with Borrowing Constraints [DOI]
- 19 Optimal investment strategies for the HARA utility under the constant elasticity of variance model [DOI]
- 20 CONSTANT ELASTICITY OF VARIANCE OPTION PRICING MODEL WITH TIME-DEPENDENT PARAMETERS [DOI]
- 21 Computing the Constant Elasticity of Variance Option Pricing Formula [DOI]
- 22 Portfolio selection problem with multiple risky assets under the constant elasticity of variance model [DOI]
- 23 An extended CEV model and the Legendre transform–dual–asymptotic solutions for annuity contracts [DOI]
- 24 Insurance: Mathematics and Economics [DOI]
- 25 SIAM Journal on Control and Optimization [DOI]
Cited by 3
S. Ihedioha · PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation · 2019
S. Ihedioha, B. Oruh, B. Osu · 2017
Showing 2 of 3 known citations — external sources report more than can currently be individually listed.
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