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A discrete-time financial market model with finite time horizon is considered, together with a sequence of investors whose preferences are described by a convergent sequence of strictly increasing and strictly concave utility functions. Existence of unique optimal consumption-investment strategies as well as their convergence to the limit strategy is shown.
Rafał Kucharski. "Convergence of optimal strategies in a discrete time market with finite horizon." Applicationes Mathematicae 33.1 (2006): 85-93. <http://eudml.org/doc/278860>.
@article{RafałKucharski2006, abstract = {A discrete-time financial market model with finite time horizon is considered, together with a sequence of investors whose preferences are described by a convergent sequence of strictly increasing and strictly concave utility functions. Existence of unique optimal consumption-investment strategies as well as their convergence to the limit strategy is shown.}, author = {Rafał Kucharski}, journal = {Applicationes Mathematicae}, keywords = {utility maximization; dynamic programming; optimal strategies}, language = {eng}, number = {1}, pages = {85-93}, title = {Convergence of optimal strategies in a discrete time market with finite horizon}, url = {http://eudml.org/doc/278860}, volume = {33}, year = {2006}, }
TY - JOUR AU - Rafał Kucharski TI - Convergence of optimal strategies in a discrete time market with finite horizon JO - Applicationes Mathematicae PY - 2006 VL - 33 IS - 1 SP - 85 EP - 93 AB - A discrete-time financial market model with finite time horizon is considered, together with a sequence of investors whose preferences are described by a convergent sequence of strictly increasing and strictly concave utility functions. Existence of unique optimal consumption-investment strategies as well as their convergence to the limit strategy is shown. LA - eng KW - utility maximization; dynamic programming; optimal strategies UR - http://eudml.org/doc/278860 ER -