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Strong consistency of the empirical martingale simulation option price estimator
- Source :
- Acta Mathematicae Applicatae Sinica, English Series. 25:355-368
- Publication Year :
- 2009
- Publisher :
- Springer Science and Business Media LLC, 2009.
-
Abstract
- A simulation technique known as empirical martingale simulation (EMS) was proposed to improve simulation accuracy. By an adjustment to the standard Monte Carlo simulation, EMS ensures that the simulated price satisfies the rational option pricing bounds and that the estimated derivative contract price is strongly consistent with payoffs that satisfy Lipschitz condition. However, for some currently used contracts such as self-quanto options and asymmetric or symmetric power options, it is open whether the above asymptotic result holds. In this paper, we prove that the strong consistency of the EMS option price estimator holds for a wider class of univariate payoffs than those restricted by Lipschitz condition. Numerical experiments demonstrate that EMS can also substantially increase simulation accuracy in the extended setting.
- Subjects :
- Computer Science::Computer Science and Game Theory
Valuation of options
Applied Mathematics
Monte Carlo methods for option pricing
Computer Science::Multimedia
Econometrics
Strong consistency
Estimator
Black–Scholes model
Martingale (probability theory)
Lipschitz continuity
Contract price
Mathematics
Subjects
Details
- ISSN :
- 16183932 and 01689673
- Volume :
- 25
- Database :
- OpenAIRE
- Journal :
- Acta Mathematicae Applicatae Sinica, English Series
- Accession number :
- edsair.doi...........ef2405217c5120ced78cf238a01a6a7f