This work is a useful reference book of classic research and new writing on the methodologies and applications of Monte Carlo simulation. It sets out to provide a unique route map, and is selected and introduced by leading practitioner and theoretician, Bruno Dupire. Topics include: dimension reduction and other ways of speeding Monte Carlo simulation; strata gems; Greeks in Monte Carlo; Monte Carlo simulation of options on joint minima and maxima; model calibration in the Monte Carlo framework; and numerical valuation of high-dimensional multivariate American securities.
1. Options: A Monte Carlo Approach
2. Monte Carlo Methods for Security Pricing
3. Monte Carlo Toolkit
Part II: Pricing
4. Dimension Reduction and Other Ways of Speeding Monte Carlo Simulation
5. Average Intelligence
6. Beyond Average Intelligence
7. Strata Gems
8. Recovering Identity
9. Greeks in Monte Carlo
10. Quicker on the Curves
11. Exact Exotics
12. Monte Carlo Simulation of Options on Joint Minima and Maxima
13. Model calibration in the Monte Carlo Framework
Part III: American Style
14. Valuing American Options in a Path-Simulation Model
15. Numerical valuation of High-Dimensional Multivariate American Securities
16. Monte Carlo Methods for Pricing High-Dimensional American Options: an Overview
Pat IV: Fixed Income
17. Pricing Interest Rate Exotics by Monte Carlo Simulation
18. Efficient and Flexible Bond Option Valuation in the Heath, Jarrow and Morton Framework
19. Term Structure Dynamics and Mortgage Valuation
Part V: VAR
20. Calculating Value-at-Risk with Monte Carlo Simulation
21. Beyond VAR and Stress Testing
22. Using Non-Normal Monte Carlo Simulation to Compute Value-at-Risk
23. Scrambled Nets for Value-at-Risk Valuation
Part VI: Deterministic Methods
24. Quasi-Monte Carlo Methods in Numerical Finance
25. New Methodologies for Valuing Derivatives
26. Valuation of Mortgage-backed Securities Using Brownian Bridges to Reduce Effective Dimension
27. Smoothness and Dimensions Reduction in Quasi-Monte Carlo Methods
28. Beating Monte Carlo
29. Monte Carlo Motoring
30. Laudable Lattices
31. Inelegant Efficiency