This paper proposes a simple two-factor model of nominal term structure of interest rates, in which the log-price kernel has an autoregressive drift process and a nonlinear GARCH volatility process. Given these two state-variable processes, closed-form expressions are derived for the zero-coupon...

After the credit and liquidity crisis started in summer 2007 the market has recognized that multiple yield curves are required for estimation of both discount and FRA rates with dfferent tenors (e.g. Overnight, Libor 3 months, etc.), consistently with the large basis spreads and the wide...

This article presents a structural model for interbank money market rates (XIBOR rates) that endogenously generates the basis spreads that characterize post-crisis fixed income markets: XIBOR-OIS spreads, tenor basis spreads, and the forward basis. In contrast to existing multi-curve models,...

We present the stochastic string model of Santa-Clara and Sornette (2001), as reformulated by Bueno-Guerrero et al. (2014), as a unifying theory of the continuous-time modeling of the term structure of interest rates. We provide several new results, such as: a) an orthogonality condition for the...

This paper studies the macroeconomic determinants of the term structures of Treasury yields, corporate bond credit spreads, and corporate bond liquidity spreads in a unified no-arbitrage framework. Four economic factors, monetary conditions, inflation, real output, and financial market...

We use non-Gaussian features in U.S. macroeconomic data to identify aggregate supply and demand shocks while imposing minimal economic assumptions. Macro risks represent the variables that govern the time-varying variance, skewness and higher-order moments of these two shocks, with "good"...

In this paper we analyse the modelling of deterministic funding and tenor basis spreads for the pricing of Libor exotics. In particular tenor basis may be modelled by means of simple compounded or continuous compounded forward rate spreads. We compare resulting payoff adjustments and discuss...

We study a novel implementation of the explicit and the implicit Crank-Nicolson (CN) numerical schemes for solving time-dependent Parabolic Partial Differential Equations (PDEs) in one spatial dimension in a variety of applications in computational finance related with the the One-Factor...

The Black framework offers a theoretically appealing way to model the term structure and gauge the stance of monetary policy when the zero lower bound of interest rates becomes constraining, but it is time consuming to apply using standard numerical methods. I outline a faster Monte Carlo...

When nominal interest rates are near their zero lower bound (ZLB), as in many developed economies at the time of writing, it is theoretically untenable to apply the popular class of Gaussian affine term structure models (GATSMs) given their inherent material probabilities of negative interest...