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arxiv: 2509.01744 · v2 · pith:KS5RDBQOnew · submitted 2025-09-01 · 🧮 math.OC · q-fin.MF

A Calculus of Variations Approach to Stochastic Control

classification 🧮 math.OC q-fin.MF
keywords controlcalculusproblemstochasticvariationsapproachclassicalconditions
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We use classical tools from calculus of variations to formally derive necessary conditions for a Markov control to be optimal in a standard finite time horizon stochastic control problem. As an example, we solve the well-known Merton portfolio optimization problem.

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