Title
Efficient frontier determination for dynamic investing policies: jump-diffusion driven asset price model
Abstract
This paper treats a problem of determining the efficient frontier for the terminal wealth resulting from continuous investing policies over a finite time-interval. The underlying asset prices are driven by a jump-diffusion process. This is a generalization of the case considered by Zhou and Li (2000), where only the diffusion component is treated. Jumps need to be included to make the asset price model more representative of the behavior of real prices. To account for the jumps in the solution of this stochastic optimal control problem, a more general technique needs to be employed. It is based on characterization of the infinitesimal generator and the method of indeterminate coefficients to find the optimal value function and optimal control for each point on the efficient frontier. The results are illustrated with a numerical example.
Year
DOI
Venue
2002
10.1109/ACC.2002.1024599
American Control Conference, 2002. Proceedings of the 2002  
Keywords
DocType
Volume
investment,optimal control,random processes,stochastic systems,continuous investing policies,dynamic investing policies,efficient frontier determination,finite time-interval,indeterminate coefficients,infinitesimal generator,jump-diffusion driven asset price model,numerical example,optimal value function,stochastic optimal control problem,terminal wealth,concrete,pareto optimization,diffusion process,behavior model,asset pricing model,stochastic processes,value function,numerical method,efficient frontier,stochastic optimal control,control system,asset,investments
Conference
5
ISSN
Citations 
PageRank 
0743-1619
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Kolmanovsky, I.100.34
Maizenberg, T.L.230.81