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Advanced Proof

The Feynman-Kac Theorem: Linking PDEs to Expectations

Students often struggle to see why the PDE evolves backward in time. Remember that the expectation is conditioned on the state at time t t . As t t approaches T T , the time remaining to accrue payoff shrinks, forcing the PDE solution to converge to the terminal condition Ψ(x) \Psi(x) .
Institutional Reference: Advanced Stochastic Processes
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