Inflation modelling with SABR dynamics

Fabio Mercurio and Nicola Moreni introduce a new forward Consumer Price Index model that is based on a multi-factor volatility structure and leads to SABR-like dynamics for forward inflation rates. Their approach reconciles zero-coupon and year-on-year quotes, giving both fast and accurate calibration to market options data. Explicit formulas for year-on-year caps and floors are then derived in terms of the SABR volatility form. An example of calibration to market data is then provided

The inflation rates quoted in the interbank derivatives market are either zero-coupon (ZC) or year-on-year (YY), and underlie ZC and YY swaps, respectively. In a ZC swap, a fixed payment, based on the annual compounding of the quoted ZC rate, is exchanged at maturity for the inflation rate corresponding to the swap application period.1 In a YY swap, instead, payments are exchanged annually, with the floating payment that is based on the just-set annual inflation rate.

ZC and YY rates do not

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 or view our subscription options here:

You are currently unable to copy this content. Please contact to find out more.

Sorry, our subscription options are not loading right now

Please try again later. Get in touch with our customer services team if this issue persists.

New to View our subscription options

New investor solutions for inflationary markets

Geopolitical risks, price volatility, clashing cycles, higher interest rates – these are tough times for economies and investors. Ahead of the 2022 Societe Generale/ Derivatives and Quant Conference, spoke to the bank’s team about some…

You need to sign in to use this feature. If you don’t have a account, please register for a trial.

Sign in
You are currently on corporate access.

To use this feature you will need an individual account. If you have one already please sign in.

Sign in.

Alternatively you can request an individual account here