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 build an Affine Term Structure Model that provides non-negative yields at any maturity and that is able to accommodate a short-term rate that stays at the zero lower bound (ZLB) for extended periods of time while longer-term rates feature high volatilities. We introduce these features through...

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...

One of the objectives of the recent prudential regulation is to separate the computation of required capital for short- and long-run risks. This paper provides a coherent framework to define, compute, and update these components. We provide different examples, among which is the transition to...

This paper proposes a methodology to price bonds jointly issued by a group of countries—called Eurobonds in the euro-area context. We consider two types of bonds: the first is backed by several and joint (SJG) guarantees, the second features several but not joint (SNJG) guarantees. A crucial...

This paper makes a case for climate linkers. We define climate linkers as long-dated financial instruments (bonds, swaps, and options) with payoffs indexed to climate-related variables, e.g., temperatures or carbon concentrations. Such instruments would facilitate the sharing of long-term...

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...