On the martingale property of certain local martingales
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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
one-dimensional diffusionsfinancial bubblesLocal martingales versus true martingalesseparating times
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Generalizations of martingales (60G48) Martingales with continuous parameter (60G44) Diffusion processes (60J60)
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Cites Work
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- A characterization of the martingale property of exponentially affine processes
- Bubbles, convexity and the Black-Scholes equation
- On exponential local martingales associated with strong Markov continuous local martingales
- Analysis of continuous strict local martingales via \(h\)-transforms
- On a problem of Girsanov
- No arbitrage condition for positive diffusion price processes
- The cumulant process and Esscher's change of measure
- Singular stochastic differential equations.
- The importance of strictly local martingales; applications to radial Ornstein-Uhlenbeck processes
- Exponentially affine martingales, affine measure changes and exponential moments of affine processes
- Local time and the pricing of path-dependent options
- Moment explosions in stochastic volatility models
- Local martingales, bubbles and option prices
- Equivalent and absolutely continuous measure changes for jump-diffusion processes
- A Visual Criterion for Identifying Itô Diffusions as Martingales or Strict Local Martingales
- Pricing and Hedging Path-Dependent Options Under the CEV Process
- Strong Markov Continuous Local Martingales and Solutions of One-Dimensional Stochastic Differential Equations (Part III)
- Complications with stochastic volatility models
- On the martingale property of stochastic exponentials
- On an Identity for Stochastic Integrals
- Separating Times for Measures on Filtered Spaces
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