Asymptotic Properties of Monte Carlo Estimators of Derivatives
Published Online:1 Nov 2005https://doi.org/10.1287/mnsc.1050.0398
References
- The law of the Euler scheme for stochastic differential equations (I): Convergence rate of the distribution function. Probab. Theory Related Fields (1996) 104(1):43–60Crossref, Google Scholar
- Malliavin Calculus for Processes with Jumps (1987) (Gordon and Breach, New York) Google Scholar
- Estimating security price derivatives using simulation. Management Sci. (1996) 42(2):269–285Link, Google Scholar
- (1975) . Notes on option pricing I: Constant elasticity of variance diffusions. Unpublished note, Graduate School of Business, Stanford University, Stanford, CAGoogle Scholar
- , Kontoghiorghes E., Rustem B., Siokos S. Hedging with Monte Carlo simulation. Computational Methods in Decision-Making, Economics and Finance (2002) (Kluwer Academic Publishers, Dordrecht, Holland) 339–353Crossref, Google Scholar
- Monte Carlo computation of optimal portfolios in complete markets. J. Econom. Dynamics Control (2003) 27(6):971–986Crossref, Google Scholar
- A Monte Carlo method for optimal portfolios. J. Finance (2003) 58(1):401–446Crossref, Google Scholar
- Asymptotic properties of Monte Carlo estimators of diffusion processes. J. Econometrics (2004) . ForthcomingGoogle Scholar
- Efficient Monte Carlo simulation of security prices. Ann. Appl. Probab. (1995) 5(4):897–905Crossref, Google Scholar
- Further results on the constant elasticity of variance call option pricing model. J. Financial Quant. Anal. (1982) 17(3):533–554Crossref, Google Scholar
- Applications of Malliavin calculus to Monte Carlo methods in finance II. Finance Stochastics (2001) 5(2):201–236Crossref, Google Scholar
- Applications of Malliavin calculus to Monte Carlo methods in finance. Finance Stochastics (1999) 3(4):391–412Crossref, Google Scholar
- Gradient Estimation via Perturbation Analysis (1991) (Kluwer Academic Publishers, Norwell, MA) Google Scholar
- Optimization of stochastic systems via simulation. Proc. 1989 Winter Simulation Conf. (1989) (Society for Computer Simulation, San Diego, CA) 90–105Crossref, Google Scholar
- Stochastic Differential Equations and Diffusion Processes (1981) (North-Holland)Google Scholar
- Foundations of Modern Probability Theory (1997) (Springer-Verlag, New York) Google Scholar
- Brownian Motion and Stochastic Calculus (1991) 2nd ed.(Springer-Verlag, New York) Google Scholar
- Optimal portfolio and consumption decisions for a “small investor” on a finite horizon. SIAM J. Control Optim. (1987) 25(5):1557–1586Crossref, Google Scholar
- Numerical Solution of Stochastic Differential Equations (1997) (Springer-Verlag, New York) Google Scholar
- Stochastic Flows and Stochastic Differential Equations (1991) (Cambridge University Press)Google Scholar
- A unified view of IPA, SF, and LR gradient estimation techniques. Management Sci. (1990) 36(11):1364–1383Link, Google Scholar
- On the convergence rate of IPA and FDC derivative estimators. Oper. Res. (1994) 42(4):643–656Link, Google Scholar
- Testing Statistical Hypothesis (1997) 2nd ed.(Springer-Verlag, New York) Google Scholar
- Optimum consumption and portfolio rules in a continuous time model. J. Econom. Theory (1971) 3(4):273–413Crossref, Google Scholar
- The Malliavin Calculus and Related Topics (1995) (Springer Verlag, New York) Crossref, Google Scholar
- Linear regression limit theory for nonstationary panel data. Econometrica (1999) 67(5):1057–1111Crossref, Google Scholar
- Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method (1993) (Wiley, Chichester, UK, and New York) Google Scholar
- Portfolio and consumption decisions under mean-reverting returns: An exact solution for complete markets. J. Financial Quant. Anal. (2002) 37(1):63–91Crossref, Google Scholar

