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A relationship between Brownian motions with opposite drifts via certain enlargements of the Brownian filtration
10 references·3 citing·32 second hop
A relationship between Brownian motions with opposite drifts via certain enlargements of the Brownian filtration (2001)A relationship between Brownian motions w…On Some Exponential Functionals of Brownian Motion (2001)On Some Exponential Functiona…An Analogue of Pitman’s 2M — X Theorem for Exponential Wiener Functionals Part II: The Role of the Generalized Inverse Gaussian Laws (2001)An Analogue of Pitman’s 2M — …An analogue of Pitman’s 2M – Xtheorem for exponential Wiener functionals: Part I: A time-inversion approach (2000)An analogue of Pitman’s 2M – …Continuous Martingales and Brownian Motion (1999)Continuous Martingales and Br…A version of Pitman's 2M — X theorem for geometric Brownian motions (1999)A version of Pitman's 2M — X …Risk theory in a stochastic economic environment (1993)Risk theory in a stochastic e…BESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES (1993)BESSEL PROCESSES, ASIAN OPTIO…Sur certaines fonctionnelles exponentielles du mouvement brownien réel (1992)Sur certaines fonctionnelles …The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding (1990)The Distribution of a Perpetu…Semi-Martingales et Grossissement d’une Filtration (1980)Semi-Martingales et Grossisse…Bessel Processes and Asian Options (2005)Bessel Processes and Asian Op…On the integral of geometric Brownian motion (2003)On the integral of geometric …On Dufresne's relation between the probability laws of exponential functionals of Brownian motions with different drifts (2003)On Dufresne's relation betwee…On some exponential functionals of Brownian motion (1992)Perpetual Integral Functionals as Hitting and Occupation Times (2005)On certain Markov processes attached to exponential functionals of Brownian motion; application to Asian options (2001)The spectral representation of Bessel processes with constant drift: applications in queueing and finance (2004)The Pricing of Options and Corporate Liabilities (1973)Theory of Rational Option Pricing (1973)Optimal choice of dividend barriers for a risk process with stochastic return on investments (1997)Finite and infinite time ruin probabilities in a stochastic economic environment (2001)Power tailed ruin probabilities in the presence of risky investments (2002)Brownian Motion and Stochastic Calculus (2007)A pricing method for options based on average asset values (1990)Continuous Martingales and Brownian Motion (1991)PRICING OF AMERICAN PATH‐DEPENDENT CONTINGENT CLAIMS (1996)Spectral Expansions for Asian (Average Price) Options (2004)Exponential functionals of Brownian motion, I: Probability laws at fixed time (2005)A Theory of the Term Structure of Interest Rates (1985)The value of an Asian option (1995)Order Flow, Transaction Clock, and Normality of Asset Returns (2000)Mathematical Methods for Financial Markets (2010)Stochastic Differential Equations (1972)Stochastic Differential Equations: Theory and Applications. (1976)Asian Options, the Sum of Lognormals, and the Reciprocal Gamma Distribution (1998)Exponential functionals of Lévy processes (2005)Stochastic Differential Equations (2006)Forward, backward and symmetric stochastic integration (1993)Anticipative portfolio optimization (1996)A survey and some generalizations of Bessel processes (2003)Backward Stochastic Differential Equations in Finance (1997)The Variance Gamma Process and Option Pricing (1998)A General Version of the Fundamental Theorem of Asset Pricing (1994) (2008)Lévy integrals and the stationarity of generalised Ornstein–Uhlenbeck processes (2005)Exponential functionals of Brownian motion and class-one Whittaker functions (2011)
this work references cited by second hop

References

  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 1993BESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES557 cited
  • 1990The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding379 cited
  • 1980Semi-Martingales et Grossissement d’une Filtration330 cited
  • 2001On Some Exponential Functionals of Brownian Motion290 cited
  • 1993Risk theory in a stochastic economic environment156 cited
  • 1992Sur certaines fonctionnelles exponentielles du mouvement brownien réel87 cited
  • 2001An Analogue of Pitman’s 2M — X Theorem for Exponential Wiener Functionals Part II: The Role of the Generalized Inverse Gaussian Laws77 cited
  • 2000An analogue of Pitman’s 2M – Xtheorem for exponential Wiener functionals: Part I: A time-inversion approach70 cited
  • 1999A version of Pitman's 2M — X theorem for geometric Brownian motions40 cited

Cited by

  • 2005Bessel Processes and Asian Options30 cited
  • 2003On Dufresne's relation between the probability laws of exponential functionals of Brownian motions with different drifts28 cited
  • 2003On the integral of geometric Brownian motion26 cited

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