On the martingale property of certain local martingales

From MaRDI portal
Publication:664349

DOI10.1007/s00440-010-0314-7zbMath1243.60038arXiv0905.3701OpenAlexW2003850034MaRDI QIDQ664349

Aleksandar Mijatović, Mikhail A. Urusov

Publication date: 1 March 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3701




Related Items (47)

Distribution of the time to explosion for one-dimensional diffusionsOn the singular control of exchange ratesA simple proof of the martingale property in a semi-log-normal stochastic volatility modelEquivalent martingale measures for Lévy-driven moving averages and related processesRelative asset price bubblesStrict local martingales and the Khasminskii test for explosionsLarge Deviation Principle for Volterra Type Fractional Stochastic Volatility ModelsPricing of FX options in the MPT/CIR jump-diffusion model with approximative fractional stochastic volatilityAsset price bubbles: invariance theoremsAPPLYING THE LOCAL MARTINGALE THEORY OF BUBBLES TO CRYPTOCURRENCIESExtreme-Strike Comparisons and Structural Bounds for SPX and VIX OptionsLiquidity Induced Asset Bubbles via Flows of ELMMsConsistent Modelling of VIX and Equity Derivatives Using a 3/2 plus Jumps ModelBubbles in discrete-time modelsYoung, timid, and risk takersStrict local martingales: examplesNo arbitrage in continuous financial marketsWeak tail conditions for local martingalesOn the loss of the semimartingale property at the hitting time of a levelAsset price bubbles, wealth preserving, dominating, and replicating trading strategiesTheory of Cryptocurrency Interest RatesINTEGRAL REPRESENTATION OF PROBABILITY DENSITY OF STOCHASTIC VOLATILITY MODELS AND TIMER OPTIONSStochastic areas of diffusions and applicationsON THE MARTINGALE PROPERTY IN STOCHASTIC VOLATILITY MODELS BASED ON TIME-HOMOGENEOUS DIFFUSIONSCOHERENT FOREIGN EXCHANGE MARKET MODELSOptional projection under equivalent local martingale measuresAbsolute continuity of semimartingalesA new proof of an Engelbert-Schmidt type zero-one law for time-homogeneous diffusionsSimple examples of pure-jump strict local martingalesThe lifetime of a financial bubbleThe stochastic solution to a Cauchy problem for degenerate parabolic equationsDeterministic criteria for the absence of arbitrage in~one-dimensional diffusion modelsStrict local martingales with jumpsUtility indifference pricing and hedging for structured contracts in energy marketsChange of drift in one-dimensional diffusionsThe hydrodynamic limit for local mean-field dynamics with unbounded spinsOn absolute continuity and singularity of multidimensional diffusionsA weak convergence criterion for constructing changes of measureA Nonuniformly Integrable Martingale Bubble with a CrashSTRICT LOCAL MARTINGALES VIA FILTRATION ENLARGEMENTNo Arbitrage Theory for Bond MarketsA Note on a Paper by Wong and HeydeCylindrical martingale problems associated with Lévy generatorsWEAK AND STRONG NO-ARBITRAGE CONDITIONS FOR CONTINUOUS FINANCIAL MARKETSA Mathematical Theory of Financial BubblesTHE EFFECT OF TRADING FUTURES ON SHORT SALE CONSTRAINTSStrict local martingales and bubbles


Uses Software


Cites Work


This page was built for publication: On the martingale property of certain local martingales