Implied Correlation for Pricing multi-FX options
AbstractOption written on several foreign exchange rates (FXRs) depends on correlation between the rates. To evaluate the option, historical estimates for correlations can be used but usually they are not stable. More significantly, pricing of the option using these estimates is usually inconsistent to the traded vanilla contracts. To price options written on several FXRs with the same denominating currency, financial practitioners and traders often use implied correlations calculated from implied volatilities of FXRs that form "currency triangles". However, some options may have underlying FXRs with different denominating currencies. In this paper, we present the formula for the implied correlations between such FXRs. These can be used for valuation, for example, barrier option on two FXRs with different denominating currencies where one FXR determines how much the option is in or out of the money at maturity while another FXR is related to the barrier. Other relevant options are straightforward.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 0904.4822.
Date of creation: Apr 2009
Date of revision:
Publication status: Published in Derivatives Week, 13 March 2006 pp. 8-9 and 20 March 2006 pp. 10-11. www.derivativesweek.com
Contact details of provider:
Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-26 (All new papers)
You can help add them by filling out this form.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).
If references are entirely missing, you can add them using this form.