OPTIMAL CONSUMPTION AND INVESTMENT FOR A LARGE INVESTOR: AN INTENSITY-BASED CONTROL FRAMEWORK

被引:11
作者
Busch, Michael [1 ]
Korn, Ralf [1 ]
Seifried, Frank Thomas [1 ]
机构
[1] Univ Kaiserslautern, D-67653 Kaiserslautern, Germany
关键词
optimal consumption and investment; large investor; market manipulation; regime-shift model; PORTFOLIO OPTIMIZATION; OPTIONS;
D O I
10.1111/j.1467-9965.2012.00528.x
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
We introduce a new stochastic control framework where in addition to controlling the local coefficients of a jump-diffusion process, it is also possible to control the intensity of switching from one state of the environment to the other. Building upon this framework, we develop a large investor model for optimal consumption and investment that generalizes the regime-switching approach of Bauerle and Rieder (2004).
引用
收藏
页码:687 / 717
页数:31
相关论文
共 19 条
[1]   Hedging and portfolio optimization in financial markets with a large trader [J].
Bank, P ;
Baum, D .
MATHEMATICAL FINANCE, 2004, 14 (01) :1-18
[2]   Consumption choice and asset pricing with a non-price-taking agent [J].
Basak, S .
ECONOMIC THEORY, 1997, 10 (03) :437-462
[3]   Portfolio optimization with Markov-modulated stock prices and interest rates [J].
Bäuerle, N ;
Rieder, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (03) :442-447
[4]  
Becherer D, 2005, ANN APPL PROBAB, V15, P1111, DOI 10.1214/105051604000000846
[5]  
Bremaud Pierre, 1981, Point Processes and Queues: Martingale Dynamics, V50
[6]  
Busch M., 2011, THESIS U KAISERSLAUT
[7]   Optimal consumption choices for a 'large' investor [J].
Cuoco, D ;
Cvitanic, J .
JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 1998, 22 (03) :401-436
[8]  
Cvitanic J, 1996, ANN APPL PROBAB, V6, P370
[9]   Ownership dynamics and asset pricing with a large shareholder [J].
DeMarzo, Peter M. ;
Urosevic, Branko .
JOURNAL OF POLITICAL ECONOMY, 2006, 114 (04) :774-815
[10]   Asset allocation and liquidity breakdowns: what if your broker does not answer the phone? [J].
Diesinger, Peter ;
Kraft, Holger ;
Seifried, Frank .
FINANCE AND STOCHASTICS, 2010, 14 (03) :343-374