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SOLVING THE ASIAN OPTION PDE USING LIE SYMMETRY METHODS
14 references·0 citing·37 second hop
SOLVING THE ASIAN OPTION PDE USING LIE SYMMETRY METHODS (2010)SOLVING THE ASIAN OPTION PDE USING LIE SY…Mathematical Models of Financial Derivatives (2008)Mathematical Models of Financ…Differential equations and asymptotic solutions for arithmetic Asian options: ‘Black–Scholes formulae’ for Asian rate calls (2008)Differential equations and as…An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation (2008)An optimal system and group-i…Lie-algebraic approach for pricing moving barrier options with time-dependent parameters (2005)Lie-algebraic approach for pr…Spectral Expansions for Asian (Average Price) Options (2004)Spectral Expansions for Asian…Valuation of financial derivatives with time-dependent parameters: Lie-algebraic approach (2001)Valuation of financial deriva…SOME RESULTS ON PARTIAL DIFFERENTIAL EQUATIONS AND ASIAN OPTIONS (2001)SOME RESULTS ON PARTIAL DIFFE…A semi-analytical method for pricing and hedging continuously sampled arithmetic average rate options (2001)A semi-analytical method for …A new PDE approach for pricing arithmetic average Asian options (2001)A new PDE approach for pricin…Pricing continuous Asian options: a comparison of Monte Carlo and Laplace transform inversion methods (1998)Pricing continuous Asian opti…The value of an Asian option (1995)The value of an Asian optionBESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES (1993)BESSEL PROCESSES, ASIAN OPTIO…A pricing method for options based on average asset values (1990)A pricing method for options …Theory of Financial Decision Making. (1988)Theory of Financial Decision …An experimental analysis of multi-attribute auctions (2000)PRICING OF THE AMERICAN PUT UNDER LÉVY PROCESSES (2004)Convergence of Monte Carlo simulations involving the mean-reverting square root process (2005)Stochastic volatility models (2010)EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* (1970)The Pricing of Options and Corporate Liabilities (1973)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Conditional Skewness in Asset Pricing Tests (2000)Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk (2001)Theory of games and economic behavior (2019)Handbook of Brownian Motion — Facts and Formulae (1996)Monte Carlo methods for security pricing (1997)Pricing Options on Scalar Diffusions: An Eigenfunction Expansion Approach (2003)ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications (2004)Option Pricing: Valuation Models and Applications (2004)Theory of Rational Option Pricing (1973)Theory of rational option pricing (2005)A Theory of the Term Structure of Interest Rates (1985)072103 (E50, M20) Option pricing by Esscher transforms (1995)Continuous Martingales and Brownian Motion (1999)Spanning and derivative-security valuation (2000)The valuation of options for alternative stochastic processes (1976)Free boundary and optimal stopping problems for American Asian options (2007)Density estimates for a random noise propagating through a chain of differential equations (2010)Parametrix techniques and martingale problems for some degenerate Kolmogorov equations (2011)Options: A Monte Carlo approach (1977)Option pricing: Mathematical models and computation (1994)Pricing and Hedging Path-Dependent Options Under the CEV Process (2001)Pricing Asian and basket options via Taylor expansion (2002)Option pricing by transform methods: extensions, unification and error control (2004)Brownian Motion and Stochastic Calculus (2007)The concept of comonotonicity in actuarial science and finance: applications (2002)The concept of comonotonicity in actuarial science and finance: theory (2002)Partial Differential Equations (2010)Pricing freight rate options (2006)Prices and sensitivities of Asian options: A survey (2007)Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models (2020)
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References

  • 1988Theory of Financial Decision Making.1,870 cited
  • 1990A pricing method for options based on average asset values628 cited
  • 2008Mathematical Models of Financial Derivatives567 cited
  • 1993BESSEL PROCESSES, ASIAN OPTIONS, AND PERPETUITIES557 cited
  • 1995The value of an Asian option532 cited
  • 2001A new PDE approach for pricing arithmetic average Asian options266 cited
  • 2004Spectral Expansions for Asian (Average Price) Options221 cited
  • 1998Pricing continuous Asian options: a comparison of Monte Carlo and Laplace transform inversion methods155 cited
  • 2001SOME RESULTS ON PARTIAL DIFFERENTIAL EQUATIONS AND ASIAN OPTIONS139 cited
  • 2001A semi-analytical method for pricing and hedging continuously sampled arithmetic average rate options88 cited
  • 2001Valuation of financial derivatives with time-dependent parameters: Lie-algebraic approach52 cited
  • 2008Differential equations and asymptotic solutions for arithmetic Asian options: ‘Black–Scholes formulae’ for Asian rate calls43 cited
  • 2008An optimal system and group-invariant solutions of the Cox-Ingersoll-Ross pricing equation26 cited
  • 2005Lie-algebraic approach for pricing moving barrier options with time-dependent parameters22 cited

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