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Using MCMC Methods for FX Option Pricing

Article Quant Q&A · Author: Vladimir Nabokov
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Summary

The document considers implementing Markov chain Monte Carlo methods in the context of foreign exchange option pricing. The author is seeking implementation guidance and foundational mathematics, building on a paper about MCMC analysis of option pricing models and a handbook chapter on preliminary theory. The questions ask for relevant literature and whether a practical set of notes on the subject would be useful beyond serving as a learning exercise.

The sole response points to a general course on Monte Carlo methods in finance, noting that it covers implementation and basic theory but does not specifically address FX options. No MCMC pricing algorithm, model specification, numerical results, or comparison of methods is presented. The document is therefore useful as an introduction to a research direction and to the distinction between general computational finance material and FX-specific resources, but it does not establish how to implement or validate an FX option pricing method.

Key ideas

  • MCMC is proposed as a method to investigate for FX option pricing.
  • The author seeks both implementation guidance and foundational mathematics.
  • A general finance course is suggested as a resource, though it does not focus on FX options.
  • The document raises the potential value of practical explanatory notes but provides no pricing method or results.

Tags

ForexOptionsStatisticsDerivatives pricing
Full text
# Markov chain Monte Carlo Analysis of FX Options


# Markov chain Monte Carlo Analysis of FX Options












I recently stumbled upon a paper titled "Markov Chain Monte Carlo Analysis of Option Pricing Models" thanks to another post on this site (see: link).

I have the ultimate goal of implementing a MCMC algorithm for pricing FX options and in the process of doing so would like to write a brief and "simple" paper/set of notes on how to do so (which also covers the preliminary mathematics). The aforementioned paper has been incredibly insightful yet it doesn't cover much on the implementation side of the matter.

I found that this chapter of a book is perfect for all the preliminary mathematics: MCMC Handbook: Chapter 1

So I have two questions:

- Can anyone point me in the direction of relevant literature about MCMC in the context of FX options or something a bit more general regarding MCMC w.r.t. options? And,

- If such literature about MCMC for FX options doesn't exist, do you think such a paper would be of any value other than that of a learning exercise for myself?

## Answer by Alfonsas Juršėnas (score 1)

https://quant.stackexchange.com/a/36985

This online course might be helpful for implementation and basic theory (although it does not touch FX options): https://iversity.org/en/courses/monte-carlo-methods-in-finance

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.