58,299 research outputs found
Asset Pricing Under The Quadratic Class
We identify and characterize a class of term structure models where bond yields are quadratic functions of the state vector. We label this class the quadratic class and aim to lay a solid theoretical foundation for its future empirical application. We consider asset pricing in general and derivative pricing in particular under the quadratic class. We provide two general transform methods in pricing a wide variety of fixed income derivatives in closed or semiclosed form. We further illustrate how the quadratic model and the transform methods can be applied to more general settings.quadratic class; interest rates; term structure models; state price density; Markov process.
Examining Simple Joint Macroeconomic and Term-Structure Models: A Practitioner's Perspective
The primary objective of this paper is to compare a variety of joint models of the term structure of interest rates and the macroeconomy. To this end, we consider six alternative approaches. Three of these models follow from the work of Diebold and Li (2003) with a generalization in Bolder (2006). The fourth model is a regression-based approach motivated entirely by empirical considerations. The fifth model follows from the seminal work of Ang and Piazzesi (2003), who suggest a joint macro-finance model in a discrete-time affine setting. The final model, which we term an observed-affine model, represents an adjustment to the Ang-Piazzesi model that essentially relaxes restrictions on the state-variable dynamics by making them observable. The observed-affine model is similar in spirit to work by Colin-Dufresne, Goldstein, and Jones (2005) and Cochrane and Piazzesi (2006). Using monthly Canadian data from 1973 to 2005, we compare each of these models in terms of their out-of-sample ability to forecast the transition density of zero-coupon rates. We also examine a simple approach aimed at permitting a subset of the parameters in the non-affine models to vary over time. We find, similar to Bolder (2006), that the Diebold and Li (2003) motivated approaches provide the most appealing modelling alternative across our different comparison criteria.Econometric and statistical methods; Financial Markets; Interest rates
LIBOR additive model calibration to swaptions markets
In the current paper, we introduce a new calibration methodology for the LIBOR market model
driven by LIBOR additive processes based in an inverse problem. This problem can be splitted
in the calibration of the continuous and discontinuous part, linking each part of the problem
with at-the-money and in/out -of -the-money swaption volatilies. The continuous part is based
on a semidefinite programming (convex) problem, with constraints in terms of variability or
robustness, and the calibration of the Lévy measure is proposed to calibrate inverting the
Fourier Transform
Design and Estimation of Quadratic Term Structure Models
We consider the design and estimation of quadratic term structure models. We start with a list of stylized facts on interest rates and interest rate derivatives, classified into three layers: (1) general statistical properties, (2) forecasting relations, and (3) conditional dynamics. We then investigate the implications of each layer of property on model design and strive to establish a mapping between evidence and model structures. We calibrate a twofactor model that approximates these three layers of properties well, and illustrate how the model can be applied to pricing interest rate derivatives.quadratic model; term structure; positive interest rates; humps; expectation hypothesis; GMM; caps and floors.
The Norges Bank’s key rate projections and the news element of monetary policy: a wavelet based jump detection approach
This paper investigates the information content of the Norges Bank’s key rate projections. Wavelet spectrum estimates provide the basis for estimating jump probabilities of short- and long-term interest rates on monetary policy announcement days before and after the introduction of key rate projections. The behavior of short-term interest rates reveals that key rate projections have only little effects on market’s forecasting ability of current target rate changes. In contrast, longer-term interest rates indicate that the announcement of key rate projections has significantly reduced market participants’ revisions of the expected future policy path. Therefore, the announcement of key rate projections further improves central bank communication.Central bank communication, interest rate projections, wavelets, jump probabilities
Modelling FX smile : from stochastic volatility to skewness
Imperial Users onl
Fast Fiber Orientation Estimation in Diffusion MRI from kq-Space Sampling and Anatomical Priors
High spatio-angular resolution diffusion MRI (dMRI) has been shown to provide
accurate identification of complex fiber configurations, albeit at the cost of
long acquisition times. We propose a method to recover intra-voxel fiber
configurations at high spatio-angular resolution relying on a kq-space
under-sampling scheme to enable accelerated acquisitions. The inverse problem
for reconstruction of the fiber orientation distribution (FOD) is regularized
by a structured sparsity prior promoting simultaneously voxelwise sparsity and
spatial smoothness of fiber orientation. Prior knowledge of the spatial
distribution of white matter, gray matter and cerebrospinal fluid is also
assumed. A minimization problem is formulated and solved via a forward-backward
convex optimization algorithmic structure. Simulations and real data analysis
suggest that accurate FOD mapping can be achieved from severe kq-space
under-sampling regimes, potentially enabling high spatio-angular dMRI in the
clinical setting.Comment: 10 pages, 5 figures, Supplementary Material
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