A variable coefficient method for accurate Monte Carlo simulation of dynamic asset price

Yi-Ming Li*, Chih Young Hung, Shao Ming Yu, Su Yun Chiang, Yi Hui Chiang, Hui Wen Cheng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this work, we propose an adaptive Monte Carlo (MC) simulation technique to compute the sample paths for the dynamical asset price. In contrast to conventional MC simulation with constant drift and volatility (μ,σ), our MC simulation is performed with variable coefficient methods for (μ,σ) in the solution scheme, where the explored dynamic asset pricing model starts from the formulation of geometric Brownian motion. With the method of simultaneously updated (μ,σ), more than 5,000 runs of MC simulation are performed to fulfills basic accuracy of the large-scale computation and suppresses statistical variance. Daily changes of stock market index in Taiwan and Japan are investigated and analyzed.

Original languageEnglish
Title of host publicationNoise and Fluctuations - 19th International Conference on Noise and Fluctuations, ICNF 2007
Pages627-630
Number of pages4
DOIs
StatePublished - 1 Dec 2007
Event19th International Conference on Noise and Fluctuations, ICNF2007 - Tokyo, Japan
Duration: 9 Sep 200714 Sep 2007

Publication series

NameAIP Conference Proceedings
Volume922
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference19th International Conference on Noise and Fluctuations, ICNF2007
Country/TerritoryJapan
CityTokyo
Period9/09/0714/09/07

Keywords

  • Adaptive Partition
  • Draft
  • Dynamic Asset Price
  • Exchange Rate
  • Geometric Brownian Motion
  • Manto Carlo Simulation
  • Stock Market Index
  • Volatility

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