Linking Vanillas and VIX Options: A Constrained Martingale Optimal Transport Problem
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Publication:3456842
DOI10.1137/140960724zbMath1386.91138OpenAlexW3123878280MaRDI QIDQ3456842
Stefano De Marco, Pierre Henry-Labordère
Publication date: 9 December 2015
Published in: SIAM Journal on Financial Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/31ac257c05bd370a959af21f1823b81836aad1ab
Optimality conditions and duality in mathematical programming (90C46) Linear programming (90C05) Semi-infinite programming (90C34) Derivative securities (option pricing, hedging, etc.) (91G20) Duality theory (optimization) (49N15)
Related Items (14)
Fine properties of the optimal Skorokhod embedding problem ⋮ Bounds for VIX futures given S{\&}P 500 smiles ⋮ Canonical supermartingale couplings ⋮ Pricing bounds for volatility derivatives via duality and least squares Monte Carlo ⋮ Heston stochastic vol-of-vol model for joint calibration of VIX and S&P 500 options ⋮ Extreme-Strike Comparisons and Structural Bounds for SPX and VIX Options ⋮ Perturbation analysis of sub/super hedging problems ⋮ Supermartingale Brenier's theorem with full-marginals constraint ⋮ Short Communication: Inversion of Convex Ordering: Local Volatility Does Not Maximize the Price of VIX Futures ⋮ Dispersion-constrained martingale Schrödinger problems and the exact joint S\&P 500/VIX smile calibration puzzle ⋮ A general framework for a joint calibration of VIX and VXX options ⋮ An explicit martingale version of the one-dimensional Brenier's theorem with full marginals constraint ⋮ Joint Modeling and Calibration of SPX and VIX by Optimal Transport ⋮ The VIX Future in Bergomi Models: Fast Approximation Formulas and Joint Calibration with S&P 500 Skew
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