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math.OC2026
On integrability of local utility maximizing strategies
Aleš Černý, Johannes Ruf
In stochastic control problems involving optimal portfolio choice, one often seeks an optimizer of some local criterion (dynamic programming value function) generated by some globa…
math.OC2022
The law of one price in quadratic hedging and mean-variance portfolio selection
Aleš Černý, Christoph Czichowsky
The law of one price (LOP) broadly asserts that identical financial flows should command the same price. We show that, when properly formulated, LOP is the minimal condition for a…
math.OC2008★ 9 cited
Characterization of the Oblique Projector with Application to Constrained Least Squares
Aleš Černý
We provide a full characterization of the oblique projector in the general case where the range of and the null space of are not complementary subspaces. We disc…