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Calibration of the Bass Local Volatility model

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arxiv 2311.14567 v2 pith:ULZ2BMCM submitted 2023-11-24 q-fin.MF math.PR

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keywords modellocalvolatilitybasscalibrationequationfixed-pointachieved
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The Bass local volatility model introduced by Backhoff-Veraguas, Beiglb\"ock, Huesmann, and K\"allblad is a Markov model perfectly calibrated to vanilla options at finitely many maturities, that approximates the Dupire local volatility model. Conze and Henry-Labord\`ere show that its calibration can be achieved by solving a fixed-point equation. In this paper we complement the analysis and show existence and uniqueness of the solution to this equation, and that the fixed-point iteration scheme converges at a linear rate.

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Cited by 2 Pith papers

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  1. The Fundamental Theorem of Weak Optimal Transport

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    Weak optimal transport has a fundamental theorem: strong duality, primal and dual attainment, and complementary slackness, with applications to martingale and entropic transport.

  2. Stretched Brownian Motion: convergence of dual optimising sequences

    math.PR 2025-08 accept novelty 6.0 of 10

    A theorem showing the dual optimizer in Stretched Brownian Motion is finite almost surely under the target law and optimizing sequences converge in measure on the boundary.

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