Saturday 19 August 2023

New publication: Bond futures: Delivery Option with Term Structure Modelling

We are pleased to announce a new working paper titled

Bond futures: Delivery Option with Term Structure Modelling

is available in our muRisQ Advisory Model Development series of research papers. The paper is available on SSRN preprint repository at


Bond futures are characterised by a set of underlying bonds; the short party has the option to deliver at expiry any of those underlying bonds. Consequently, bond futures embed a choice option between bonds with different maturities and coupons. The delivery mechanism also incorporates conversion factors that create an implicit strike. The option is impacted by different maturities and different moneyness for each bond. It is important to take into account the full term structure of volatility with smile. A recent paper Bang and Daboussi (2022) developed such an approach for swap rate based products like CMS. In this paper we extend their approach to cover futures and apply it to the specific case of bond futures. The method allows the analysis of the impact of smile, term structure of volatility and correlations between rates on the delivery option and convexity adjustment values. All of them have an impact on the valuation and risk management of bond futures.

The paper has been submitted for publication in an international peer-reviewed journal.

All the results presented in the paper are based on a proprietary implementation extending a production grade open source quantitative finance library. We would be glad to provide model development or model validation advisory services based on the theoretical and practical development described in the paper. Don't hesitate to contact us if you require advisory services related to the interest rate modelling or benchmark transitions.