Volatility interpolation
Developing an arbitrage-free, consistent volatility surface in both expiry and strike from a discrete set of option quotes is a difficult and computationally intense problem. In this article, Jesper Andreasen and Brian Huge use a non-standard variant of the fully implicit finite difference method to reduce the computational cost by orders of magnitude. An example shows how the model can fit the Eurostoxx 50 option market in approximately 0.05 seconds of CPU time
Local volatility models such as those of Dupire (1994), Andersen & Andreasen (1999), JP Morgan (1999) and Andreasen & Huge (2010) ideally require a full continuum in expiry and strike of arbitrage-consistent European-style option prices as input. In practice, of course, we only observe a discrete set of option prices.
Volatility interpolation
Only users who have a paid subscription or are part of a corporate subscription are able to print or copy content.
To access these options, along with all other subscription benefits, please contact info@risk.net or view our subscription options here: http://subscriptions.risk.net/subscribe
You are currently unable to print this content. Please contact info@risk.net to find out more.
You are currently unable to copy this content. Please contact info@risk.net to find out more.
Copyright Infopro Digital Limited. All rights reserved.
As outlined in our terms and conditions, https://www.infopro-digital.com/terms-and-conditions/subscriptions/ (point 2.4), printing is limited to a single copy.
If you would like to purchase additional rights please email info@risk.net
Copyright Infopro Digital Limited. All rights reserved.
You may share this content using our article tools. As outlined in our terms and conditions, https://www.infopro-digital.com/terms-and-conditions/subscriptions/ (clause 2.4), an Authorised User may only make one copy of the materials for their own personal use. You must also comply with the restrictions in clause 2.5.
If you would like to purchase additional rights please email info@risk.net
More on Markets
Integration strengthens e-trading in persistently volatile markets
Survey reveals that traders are grappling with daily volatility, while technology outranks liquidity as the top market structure concern
How Optimal aims to shake up US retail options trading
New wholesaler has assembled a team of market-makers to compete with Citadel, IMC/Dash and Jane Street
Repo stress drove 2025 SOFR-to-fed funds swap pivot
SOFR OIS volumes slipped to almost half of fed funds activity during September repo spikes
Renminbi options volumes plummet as vol grinds lower
USD/CNH volumes fell 84% in 2025 as PBoC currency management took hold
Esma to issue guidance on active account reporting
Briefing and Q&A aims to clarify how firms should report data ahead of RTS adoption
Forex looks to flip the (stable)coin
Friction-free foreign exchange is the prize offered by stablecoins such as Tether and USDC. But the prize remains elusive
Market warns BoE against blanket mandatory gilt repo clearing
Official says proposals receiving push-back on one-size-fits-all approach and limited netting benefits
Banks eye cost cuts ahead of RateStream Treasuries push
FX SpotStream’s move into rates seen as both fee-saver and potential boost to streaming execution
