Posts

Showing posts from November, 2025

Multi-curve framework book new edition: endorsement by Andrea Pallavicini

Different experts in interest rate modelling were kind enough to write an endorsement for the multi-curve new edition book. Part of them are displayed on the back-cover (there is not enough space to display the full texts there). I will publish on this blog the longer versions of them between now the actual book's publication in November December. A decade ago, this book did not just introduce the essential multi-curve framework; it also laid its foundations with rigorous clarity, recognizing the pitfalls of simply adapting old "one-curve" approaches. Now, in its vital second edition, the author delivers an even more indispensable resource, profoundly addressing the market shifts that have redefined interest rate modeling. This edition is a direct response to critical changes like BCBS-IOSCO margin requirements and, most importantly, the end of LIBOR and the benchmark transition. The book's strength lies in its axiomatic approach, providing solid proofs and clea...

Negative Swap / Government Spread: A SOFR definition impact

Image
Negative government bond spreads have been a puzzle for some people for a long time. The question has been stated in some places as `` How can the banks borrow at a lower rate than the government? ''. I have already partially given my point of view about that issue in a blog 10 years ago . That was in the context of the LIBOR swaps, but it is still true in the SOFR case. Now I want to add some technical details for the SOFR OIS case. To some extent, I claim that the swap spread have to be negative! SOFR-OIS swap / government spreads In this analysis, I'm using the results of the multi-curve framework in a loose sense. I'm using expected values, without clarifying in which measure they are and extended the results to government bonds. The goal is to indicate that the ISDA definition of SOFR (introduced below) used in swaps may have an hidden impact on swap spreads. For this simplified approach, I'm presenting the impact only for zero-coupon bonds. The notation ...