Sunday, 9 November 2025

New publication: Bond futures: ERIS futures: Analysis and pricing

We are pleased to announce a new working paper titled

ERIS futures: Analysis and pricing

is available in our muRisQ Advisory Instrument Anaysis series of research papers. The paper is available on SSRN preprint repository at http://ssrn.com/abstract=5666790.

Abstract

In this note we describe ERIS futures and propose a pricing mechanism for them. Those futures are swap futures associated with OTC cleared swaps. We come to the conclusion that the claim that they ``replicate cash flows of OTC swaps'' is reasonable in the context of the multi-curve framework. Currently their daily price settlement is based on a third party valuation and the futures are not standalone with prices based on actual futures trades. We also analysed the possibility to transform them into standalone instruments with price obtained from recent trade information. For that part, our answer is more prudent and mainly negative in large part due to the lack of liquidity along the curve.


Don't hesitate to contact us if you require advisory services related to the interest rate modelling or benchmark transitions.

SOFR and EFFR are getting excited!

For some time, we have reported about the volatility of the SOFR / target spread in the USD market (see for example SOFR is getting more alive!). Today we can even report on some volatility of the EFFR / target spread!

The news has even reached the main newspapers like the Bloomberg and Financial Times.

The EFFR has been at target plus 8 bps for several years. Only in the last months was there some volatility, with the spread going up to 12 bps. The target rate targets the EFFR, in that sense we can say that the targeting has been very effective. But in reality it sounds like a self fulfilling prophecy. The volumes are quite small (see below) and the number of participants restricted. The bid/offer implied by the 25/75 percentile is 1 bp, not a realistic number for a real cash market.

When comparing with the overnight repo market represented by SOFR, one can see the difference with a “real” market. Bid-offers are in the 10 to 15 basis points and the rates change each day. There are patterns, in particular at month-end, but also you can see the market stresses.

Figure 1 and Figure 2 represent the spread between the different rates and the lower bound of the target range. In Figure (1) the date since January 2023 is represented and in Figure 2, the focus is on the year 2025.

Figure 1: Spread over target rate for SOFR and EFFR benchmarks. Data since January 2023.

Figure 2: Spread over target rate for SOFR and EFFR benchmarks. Data since January 2025.

In the graphs, we have also added the Interest On Reserve Balance (IORB), which is the interest that banks receive from the Federal Reserve for balances in their account. Since 2021, there is no distinction between the mandatory reserves and the excess reserves, all of them receive the same interest. Since that date, it has always been at Target plus 15 basis points.

Given the lack of movement in the EFFR / Target spread, it has been suggested that the Target should maybe be changed to SOFR (Options for modernizing the FOMC’s operating target interest rate). Even some Federal Reserve (of Dallas) economists acknowledge that the EFFR are not really “effective” anymore by indicating “interbank loans are far less important to the financial system than they once were” and “connections between the fed funds market and broader money markets have grown fragile”.

This leads us to the volumes underlying the two main overnight indices in the US market displayed in Figure 3. As can be seen in the graph, the volume underlying EFFR has been roughly unchanged, around 100 billion USD a day, for a long time. Over the last 3 years, the volume underlying SOFR has increased steadily from 1,000 to 3,000 billion USD a day.

Figure 3: Volume underlying EFFR and SOFR since 2018.


Don't hesitate to contact us regarding the modelling of overnight rates.

Monday, 29 September 2025

New book, special offer

Marc’s multi-curve framework book is expected to be available from November on. To celebrate the achievement, muRisQ is proposing a special offer. For each in-house course related to the multi-curve framework, a book copy is offered to each participant. A typical agenda for such a course can be found on our training page.

As usual the course agenda will be tailor made to your needs.

More information on the book can be found on Marc’s blog at https://multi-curve-framework.blogspot.com/p/details.html.


Don't hesitate to contact us regarding interest rate modelling courses.

Thursday, 7 August 2025

MVA: from derivatives to people

It appears that the US is planning to require some visitors to pay a bond of up to USD 15,000 for a visa.

Many political comments have been made about it; we would like to bring some light quant comments.

The term used for the visa is “bond”, in the market this type of requirement is called “Collateral” or “Initial Margin” (IM). The quantitative and valuation impacts of those IM requirements have been studied extensively in the literature with regard to derivatives and are known under the name MVA.

The mechanisms would be that the person requesting a visa would deposit a certain amount before using the visa and the amount would be returned when the person has departed the US.

Some parts of the mechanism are similar to IM, and thus require some MVA computations, some other parts are different and require further adjustments.

Some visas, including business visas, require a bond. This bond deposited during the length of the visa usage has some cost, for a corporation this is typically a funding cost. That means that any corporation making business with the US which requires visits from oversea staff will need to incorporate that cost to their prices. This is the MVA part.

By opposition to the standard IM practice in the OTC market, here the IM is deposited not with a third party custodian, but directly with the counterparty (the US government). On that amount there is a non-negligible credit and legal risk. What if the US defaults, or more likely refuses to pay the margin back? What for multi-entry visas? Can the US keep the bond up to the end of visa validity? What if the depositor died before claiming the amount back? Here the question moves from a MVA-like question to a CVA-like question. Involving probability of default (PD) and loss given default (LGD). The LGD may even be higher than 100% of the bond amount itself if the legal cost is added.

In all cases, corporations planning to make business with the US should analyse the potential cost of such a framework (this analysis is itself a cost). We are not experts in political risk, but we have helped clients with many Initial Margin methodologies.


Don't hesitate to contact us regarding the impacts of initial and variation margin on derivative pricing.

Thursday, 17 July 2025

Qu'est-ce qu'un Analyste Quantitatif ?

Après un début de carrière dans le monde académique, depuis 25 ans j’exerce comme “analyste quantitatif” – ou simplement “quant” dans le jargon financier. Mais qu’est-ce qu’un quant et que fait-il ? J’ai souvent du mal à l’expliquer à mes connaissances ; je voudrais essayer de le résumer ici. D’abord il existe plusieurs sortes de quants, les quants de valorisation de produits dérivés, les quants de big data, les quants de portefeuille d’investissement, etc. Je ne peux parler que de la première catégorie, celle à laquelle j'appartiens.

Ceci est l'introduction de l'article publié dans l'EcoFin MAG de juin 2025 dont Marc est l'auteur.

Un lien vers une version életronique est disponbile ci-dessous:

Bonne lecture!

Thursday, 3 April 2025

New muRisQ’s corporate swag

You may remember our golf ball collection, starting the one related to the publication of Marc’s book, you may have seen our branded polos and jackets, now we have also nice caps available!

Figure 1: A cap on top of Marc’s books!

Thursday, 16 January 2025

Interest Rate Instruments and Market Conventions Guide - Post LIBOR edition

As announced previously, we have been working on the updated Interest Rate Instruments and Market Conventions Guide. We are glad to announced that the new version

is now available. You can download it from SSRN at https://ssrn.com/abstract=5099269.

Comments on the content - typos, missing indices, new products - are welcomed.

The benchmark page on our web site has a list and short descriptions of (some) overnight and IBOR-like benchmarks available at

We will do our best to maintain it up-to-date.

Saturday, 4 January 2025

SOFR is getting more alive!

In a blog post a couple of month ago, we noticed that “SOFR is really alive again!” After several years of manipulation by the Federal reserve, the benchmark was showing signs that it was actually reacting to market developments.

It appears that those life signs are increasing. In Figure 1 we propose the graph of the SOFR and EFFR spread above target rate over a two-year period. The coming alive of SOFR is clearly visible.

Figure 1: Spread over target rate for SOFR and EFFR benchmarks.

If we look at SOFR’s and EFFR’s average spread (in bps) above target we have

Period SOFR EFFR Note
2023 5.95 7.92
2024 8.14 8.00 EFFR=8bps every day
2024-H2 9.61 8.00

What does the market think about the above SOFR features? For that we looked at the forward SOFR-EFFR spread as quoted in the USD OIS market. Figure 2 displays data on the above spread for OISs with tenor 1, 10, and 30 years. The spreads are for SOFR + spread versus EFFR. A negative spread, as most of the time in the last two years, indicates that the market is ready to pay more for SOFR than for EFFR.

Figure 2: Spread for OIS basis swaps: SOFR + spread V EFFR.

SOFR is a secured rate while EFFR is unsecured. The two pieces of information above, the realised rates over the last 6 months and the forward looking market spreads, indicate that a secured rate is higher than an unsecured rate! We are quantitative finance advisors, not economical advisors; but the laymen in us thinks that “something is rotten in the State of Benchmark (Federal Reserve provided)”.

Moreover, at the view of Figure 1, the Fed sanctioned method to interpolate the SOFR curve described in Heitfield and Park (2019) and used in CME futures based SOFR Term rate, is less and less credible. Saying that the Fed has a biased view of the impact of the Fed on the market may not be a surprise.


Heitfield, Erik, and Park, Yang-Ho (2019). “Inferring Term Rates from SOFR Futures Prices,” Finance and Economics Discussion Series 2019-014. Washington: Board of Governors of the Federal Reserve System, https://doi.org/10.17016/FEDS.2019.014.

Wednesday, 25 December 2024

Cross-currency basis futures

CME is planning to launch a futures contract related to the OTC cross-currency basis between USD-SOFR and EUR-ESTR. The futures is cash settled against a proprietary cross-currency index. muRisQ is proposing a note proposes describing the index and the associated futures. The links and differences between the index, the futures and the OTC market is analysed.

Marc's Market Infrastructure note is available at:

The analysis of the fixing basis and the convexity adjustments will be proposed in a forthcoming muRisQ Model Development instalment.


Don't hesitate to contact us regarding the pricing or risk management of interest rate and forex products.

Friday, 22 November 2024

Workshop on multi-curve framework - Warsaw - 5/6 December 2024

Marc will present a two-day workshop on multi-curve framework on 5 and 6 December in Warsaw.


More details can be found on the LinkedIn page related to the workshop. There are still seats available for that workshop organised by CEETA.