We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel computation of the price of long-dated foreign exchange...

As it can be seen from the literature the affine yield class of the term structure is very important for obtaining the fundamental properties of the zero-coupon bond yield. Therefore any new results about the properties the affine yield class are very desirable. The present paper is devoted to...

Investors seek to hedge against interest rate risk by taking long or short positions on bonds ofdifferent maturities. We study changes in risk taking behavior in a low interest rateenvironment by estimating a market stochastic discount factor that is non-linear and thereforeconsistent with the...

It is well known that the Cox-Ingersoll-Ross (CIR) stochastic model to study the term structure of interest rates, as introduced in 1985, is inadequate for modelling the current market environment with negative short interest rates. Moreover, the diffusion term in the rate dynamics goes to zero...

This paper analyzes the effect of the interest rate lower bound on long term sovereign bond spreads in the Euro area. We specify a joint shadow rate term structure model for the risk-free, the German and the Italian sovereign yield curves. In our model, the behavior of long term spreads becomes...

The aim of this paper is to propose a new methodology that allows forecasting, through Vasicek and CIR models, of future expected interest rates (for each maturity) based on rolling windows from observed financial market data. The novelty, apart from the use of those models not for pricing but...

It is well-known that interest rates are extremely persistent, yet they are best modeled and understood as stationary processes. These properties are contradictory in the workhorse Gaussian affine term structure model in which the persistent data often result in unit roots that imply...

No-arbitrage dynamic term structure models (DTSMs) have regularly been used to estimate interest rate expectations and term premia, but are beset by an identification problem that results in inaccurate estimates. I propose the augmentation of DTSMs with overnight indexed swap (OIS) rates to...

Two novel models specify interest rates from factors other than time to demonstrate bond market expectations of riskless rates converge to the natural rate of interest.The first yield curve model is based upon risk rather than time. The riskless rate is the incremental yield for an infinitesimal...

Investors with heterogeneous trading horizons require compensation for the exposure to different risks. The no-arbitrage valuation over increasing horizons is described by the evolution of stochastic discount factors (SDFs). Each of them exhibits a multiplicative decomposition into deterministic...