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HJB equation with constraints

Posted: June 9th, 2002, 11:19 am
by costica
Dear All,currently I am trying to solve the consumption-investment problem in continuous-time (Merton“s problem) with constraints on the controls (consumption and portfolio weights). Does anybody have a link to a paper or a textbook that addresses this problem. In other words, how do you handle the Hamilton-Jacobi-Bellmann equation when the control variables are constrained?Thanks a lot,Costica.P.S.: I should point out that I want to solve the problem numerically. Nevertheless, I am interested in the analytical "Ansatz".

HJB equation with constraints

Posted: June 11th, 2002, 1:46 pm
by ndh
Check out Shreve's mathods of mathematical finance.