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- Title
A Dynamic Model for the Forward Curve.
- Authors
Choong Tze Chua; Foster, Dean; Ramaswamy, Krishna; Stine, Robert
- Abstract
This article develops and estimates a dynamic arbitrage-free model of the current forward curve as the sum of (i) an unconditional component, (ii) a maturity-specific component and (iii) a date-specific component. The model combines features of the Preferred Habitat model, the Expectations Hypothesis (ET) and affine yield curve models; it permits a class of low-parameter, multiple state variable dynamic models for the forward curve. We show how to construct alternative parametric examples of the three components from a sum of exponential functions, verify that the resulting forward curves satisfy the Heath-Jarrow-Morton (HJM) conditions, and derive the risk-neutral dynamics for the purpose of pricing interest rate derivatives. We select a model from alternative affine examples that are fitted to the Fama-Bliss Treasury data over an initial training period and use it to generate out-of-sample forecasts for forward rates and yields. For forecast horizons of 6 months or longer, the forecasts of this model significantly outperform those from common benchmark models.
- Subjects
ECONOMIC forecasting; MATHEMATICAL models; NONLINEAR statistical models; EXPONENTIAL functions; SMOOTH affine curves; GROUP schemes (Mathematics); INTEREST rates; VARIABLE interest rates; PRICING
- Publication
Review of Financial Studies, 2008, Vol 21, Issue 1, p265
- ISSN
0893-9454
- Publication type
Article
- DOI
10.1093/rfs/hhm039