Target achieving portfolio under model misspecification: quadratic optimization framework

Dariusz Zawisza

Applicationes Mathematicae (2012)

  • Volume: 39, Issue: 4, page 425-443
  • ISSN: 1233-7234

Abstract

top
We incorporate model uncertainty into a quadratic portfolio optimization framework. We consider an incomplete continuous time market with a non-tradable stochastic factor. Two stochastic game problems are formulated and solved using Hamilton-Jacobi-Bellman-Isaacs equations. The proof of existence and uniqueness of a solution to the resulting semilinear PDE is also provided. The latter can be used to extend many portfolio optimization results.

How to cite

top

Dariusz Zawisza. "Target achieving portfolio under model misspecification: quadratic optimization framework." Applicationes Mathematicae 39.4 (2012): 425-443. <http://eudml.org/doc/279891>.

@article{DariuszZawisza2012,
abstract = {We incorporate model uncertainty into a quadratic portfolio optimization framework. We consider an incomplete continuous time market with a non-tradable stochastic factor. Two stochastic game problems are formulated and solved using Hamilton-Jacobi-Bellman-Isaacs equations. The proof of existence and uniqueness of a solution to the resulting semilinear PDE is also provided. The latter can be used to extend many portfolio optimization results.},
author = {Dariusz Zawisza},
journal = {Applicationes Mathematicae},
keywords = {robust control; stochastic differential games; model uncertainty; quadratic optimization; quadratic hedging; Knightian uncertainty},
language = {eng},
number = {4},
pages = {425-443},
title = {Target achieving portfolio under model misspecification: quadratic optimization framework},
url = {http://eudml.org/doc/279891},
volume = {39},
year = {2012},
}

TY - JOUR
AU - Dariusz Zawisza
TI - Target achieving portfolio under model misspecification: quadratic optimization framework
JO - Applicationes Mathematicae
PY - 2012
VL - 39
IS - 4
SP - 425
EP - 443
AB - We incorporate model uncertainty into a quadratic portfolio optimization framework. We consider an incomplete continuous time market with a non-tradable stochastic factor. Two stochastic game problems are formulated and solved using Hamilton-Jacobi-Bellman-Isaacs equations. The proof of existence and uniqueness of a solution to the resulting semilinear PDE is also provided. The latter can be used to extend many portfolio optimization results.
LA - eng
KW - robust control; stochastic differential games; model uncertainty; quadratic optimization; quadratic hedging; Knightian uncertainty
UR - http://eudml.org/doc/279891
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.