Duality Formulas for Robust Pricing and Hedging in Discrete Time
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Publication:4607049
DOI10.1137/16M1064088zbMath1407.91243arXiv1602.06177OpenAlexW2282761846MaRDI QIDQ4607049
Michael Kupper, Ludovic Tangpi, Patrick Cheridito
Publication date: 12 March 2018
Published in: SIAM Journal on Financial Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.06177
transaction costsrisk measurestrading constraintssuperhedgingsubhedgingrobust fundamental theorem of asset pricingrobust price bounds
Martingales with discrete parameter (60G42) Generalizations of martingales (60G48) Derivative securities (option pricing, hedging, etc.) (91G20) Duality theory (optimization) (49N15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Universal arbitrage aggregator in discrete-time markets under uncertainty
- Model-independent superhedging under portfolio constraints
- Super-replication with nonlinear transaction costs and volatility uncertainty
- Stochastic finance. An introduction in discrete time.
- Duality and convergence for binomial markets with friction
- Model-independent bounds for option prices -- a mass transport approach
- Dynamic no-good-deal pricing measures and extension theorems for linear operators on \(L^\infty\)
- Martingale optimal transport and robust hedging in continuous time
- Robust hedging with proportional transaction costs
- The fundamental theorem of asset pricing for continuous processes under small transaction costs
- Duality for increasing convex functionals with countably many marginal constraints
- Put-call parity and market frictions
- Martingales and arbitrage in multiperiod securities markets
- Martingales and stochastic integrals in the theory of continuous trading
- Robust hedging of the lookback option
- Efficient hedging: cost versus shortfall risk
- Robust pricing-hedging dualities in continuous time
- Liquidity risk and arbitrage pricing theory
- Martingales and arbitage in securities markets with transaction costs
- Root's barrier: construction, optimality and applications to variance options
- Quantile hedging
- Arbitrage and duality in nondominated discrete-time models
- Financial economics without probabilistic prior assumptions
- Model-free superhedging duality
- A stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback options
- The mathematics of arbitrage
- On mass transportation
- A MODEL-FREE VERSION OF THE FUNDAMENTAL THEOREM OF ASSET PRICING AND THE SUPER-REPLICATION THEOREM
- ARBITRAGE BOUNDS FOR PRICES OF WEIGHTED VARIANCE SWAPS
- Arbitrage and Hedging in Model-Independent Markets with Frictions
- RISK MEASURES ON ORLICZ HEARTS
- THE RANGE OF TRADED OPTION PRICES
- Dynamic utility-based good deal bounds
- The Fundamental Theorem of Asset Pricing under Proportional Transaction Costs in Finite Discrete Time
- Real Analysis and Probability
- Fundamental Theorems of Asset Pricing for Good Deal Bounds
- AN OLD‐NEW CONCEPT OF CONVEX RISK MEASURES: THE OPTIMIZED CERTAINTY EQUIVALENT
- Convex Hedging in Incomplete Markets
- Minimax Theorems
- Coherent risk measures and good-deal bounds