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arxiv: math/0702622 · v2 · submitted 2007-02-21 · 🧮 math.PR

Well-posedness and invariant measures for HJM models with deterministic volatility and L\'evy noise

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keywords conditionsdeterministicexistenceinvariantmeasuresnoisevolatilityabsence
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We give sufficient conditions for existence, uniqueness and ergodicity of invariant measures for Musiela's stochastic partial differential equation with deterministic volatility and a Hilbert space valued driving L\'evy noise. Conditions for the absence of arbitrage and for the existence of mild solutions are also discussed.

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