We propose a new filtering and smoothing technique for non-linear state-space models. Observed variables are quadratic functions of latent factors following a Gaussian VAR. Stacking the vector of factors with its vectorized outer-product, we form an augmented state vector whose first two...

We propose a quadratic term-structure model of the EURIBOR-OIS spreads. Contrary to OIS, EURIBOR rates incorporate credit and liquidity risks resulting in compensations for (a) facing default risk of debtors, and (b) possible unexpected funding needs on the lender’s side. Our approach allows...

In order to derive closed-form expressions of the prices of credit derivatives, standard credit-risk models typically price the default intensities, but not the default events themselves. The default indicator is replaced by an appropriate prediction and the prediction error, that is the...

This article proposes an overview of the usefulness of the regime switching approach for building various kinds of bond pricing models and of the roles played by the regimes in these models. Both default-free and defaultable bonds are considered. The regimes can be used to capture stochastic...

In June 2014, the European Central Bank (ECB) announced the implementation of new refinancing operations aimed at supporting bank lending to the non-financial private sector. This paper exhibits and prices options embedded in these Targeted Longer-Term Refinancing Operations. In particular, it...

This paper introduces a novel kind of interest-rate model offering simple analytical pricing formulas for swaps, futures, swaptions, caps and floors. The model is based on an original use of regime-switching features that makes it consistent with the non-linear behavior of interest rates. In...

This paper develops an arbitrage-free affine term structure model of potentially defaultable sovereign bonds to model a cross-section of eight euro area government bond yield curves since January 1999. The existence of a common monetary policy under European Monetary Union determines the short...

This paper presents a no-arbitrage model of the yield curve that explicitly incorporates the central-bank policy rate. After having estimated the model using daily euro-area data, I explore the behaviour of risk premia at the short end of the yield curve. These risk premia are neglected by the...

Le 25 janvier 2012, la Banque de France a reçu le professeur Robert F. Engle, prix Nobel d’économie en 2003. Le professeur Engle a présenté ses travaux sur la mesure du risque systémique et leurs applications à la zone euro.

In order to derive closed-form expressions of the prices of credit derivatives, the standard models for credit risk usually price the default intensities but not the default events themselves. The default indicator is replaced by an appropriate prediction and the prediction error, that is the...