Local martingales, bubbles and option prices

From MaRDI portal
Publication:2488491

DOI10.1007/s00780-005-0162-yzbMath1092.91023OpenAlexW1994438934MaRDI QIDQ2488491

David G. Hobson, Alexander Matthew Gordon Cox

Publication date: 24 May 2006

Published in: Finance and Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00780-005-0162-y




Related Items (93)

Uniqueness in Cauchy problems for diffusive real-valued strict local martingalesDiffusion transformations, Black-Scholes equation and optimal stoppingOn the multiplicity of option prices under CEV with positive elasticity of variancePRICING PATH-DEPENDENT OPTIONS ON STATE DEPENDENT VOLATILITY MODELS WITH A BESSEL BRIDGEBubbles, convexity and the Black-Scholes equationRobust pricing and hedging under trading restrictions and the emergence of local martingale modelsA damped diffusion framework for financial modeling and closed-form maximum likelihood estimationRelative asset price bubblesNumerical option pricing in the presence of bubblesAsymptotics of Implied Volatility far from MaturityPricing Options under Rough Volatility with Backward SPDEsMartingale Inequalities, Optimal Martingale Transport, and Robust SuperhedgingOptimal stopping with information constraintAsset price bubbles: invariance theoremsThe Formation of Financial Bubbles in Defaultable MarketsExtreme-Strike Comparisons and Structural Bounds for SPX and VIX OptionsLiquidity Induced Asset Bubbles via Flows of ELMMsBubbles in discrete-time modelsStrict local martingales: examplesUniform Bounds for Black--Scholes Implied VolatilityNo arbitrage in continuous financial marketsExploiting arbitrage requires short sellingWeak tail conditions for local martingalesAsset price bubbles, wealth preserving, dominating, and replicating trading strategiesHedging for the long runSingle jump processes and strict local martingalesLiquidity Based Modeling of Asset Price Bubbles via Random MatchingLocal time and the pricing of path-dependent optionsComparison results for stochastic volatility models via couplingHedging variance options on continuous semimartingalesDiversity and arbitrage in a regulatory breakup modelOptions Prices in Incomplete MarketsRoot's barrier: construction, optimality and applications to variance optionsCan time-homogeneous diffusions produce any distribution?DETERMINISTIC CRITERIA FOR THE ABSENCE AND EXISTENCE OF ARBITRAGE IN MULTI-DIMENSIONAL DIFFUSION MARKETSMartingale property of exponential semimartingales: a note on explicit conditions and applications to asset price and Libor modelsA risk-neutral equilibrium leading to uncertain volatility pricingA note on options and bubbles under the CEV model: implications for pricing and hedgingOutperforming the market portfolio with a given probabilityShifting martingale measures and the birth of a bubble as a submartingaleNegative call pricesOn the hedging of options on exploding exchange ratesWorst-case optimal investment with a random number of crashesA PDE approach to jump-diffusionsOption pricing with quadratic volatility: a revisitOn the martingale property of certain local martingalesOn changes of measure in stochastic volatility modelsImplied Volatility in Strict Local Martingale ModelsSimple examples of pure-jump strict local martingalesMoment explosions in stochastic volatility modelsWatermark optionsAsymptotic asset pricing and bubblesON PROPERTIES OF ANALYTICALLY SOLVABLE FAMILIES OF LOCAL VOLATILITY DIFFUSION MODELSThe lifetime of a financial bubbleOn the regularity of American options with regime-switching uncertaintyReal-World Pricing for a Modified Constant Elasticity of Variance ModelOn the uniqueness of classical solutions of Cauchy problemsDUPIRE'S EQUATION FOR BUBBLESAsset pricing in an imperfect worldThe stochastic solution to a Cauchy problem for degenerate parabolic equationsHEDGING UNDER ARBITRAGEStrict local martingale deflators and valuing American call-type optionsForeign currency bubblesStrict local martingales with jumpsFinancial models with defaultable numérairesStrict local martingales and optimal investment in a Black–Scholes model with a bubbleThe Black-Scholes equation in stochastic volatility modelsThe representation of American options prices under stochastic volatility and jump-diffusion dynamicsAnalysis of continuous strict local martingales via \(h\)-transformsApproximating functionals of local martingales under lack of uniqueness of the Black–Scholes PDE solutionMean-variance portfolio selection under a constant elasticity of variance modelA Black-Scholes inequality: applications and generalisationsON VALUING STOCHASTIC PERPETUITIES USING NEW LONG HORIZON STOCK PRICE MODELS DISTINGUISHING BOOMS, BUSTS, AND BALANCED MARKETSFinancial asset price bubbles under model uncertaintyExplicit construction of stochastic exponentials with arbitrary expectation \(k\in (0,1)\)A Nonuniformly Integrable Martingale Bubble with a CrashSTRICT LOCAL MARTINGALES VIA FILTRATION ENLARGEMENTGeneralized Arbitrage-Free SVI Volatility SurfacesNo Arbitrage Theory for Bond MarketsFinancial Asset Bubbles in Banking NetworksLocal volatility function models under a benchmark approachArbitrage-free smoothing of the implied volatility surfaceDiffusion-Based Models for Financial Markets Without Martingale MeasuresA Mathematical Theory of Financial BubblesTHE EFFECT OF TRADING FUTURES ON SHORT SALE CONSTRAINTSAsset price bubbles in markets with transaction costsMarket Models with Optimal ArbitrageValuation and Parities for Exchange OptionsFragility of arbitrage and bubbles in local martingale diffusion modelsThe infinite-horizon investment-consumption problem for Epstein-Zin stochastic differential utility. I: FoundationsA liquidity-based model for asset price bubblesStrict local martingales and bubblesArbitrage-free SVI volatility surfaces




This page was built for publication: Local martingales, bubbles and option prices