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Counterexamples for FX Options Interpolations -- Part I

Published: December 22, 2025 | arXiv ID: 2512.19621v1

By: Jherek Healy

Potential Business Impact:

Fixes problems when trading money options.

Business Areas:
Prediction Markets Financial Services

This article provides a list of counterexamples, where some of the popular fx option interpolations break down. Interpolation of FX option prices (or equivalently volatilities), is key to risk-manage not only vanilla FX option books, but also more exotic derivatives which are typically valued with local volatility or local stochastic volatilility models.

Page Count
10 pages

Category
Quantitative Finance:
Pricing of Securities