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Computing Arbitrage-Free Yields in Multi-Factor Gaussian Shadow-Rate Term Structure Models - Federal Reserve Board

English
2014-11-14
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This paper develops a method to approximate arbitrage-free bond yields within a term structure model in which the short rate follows a Gaussian process censored at zero (a shadow-rate model as proposed by Black, 1995). The censoring ensures that model-implied yields are constrained to be positive, but it also introduces non-linearity that renders standard bond pricing formulas inapplicable. In particular, y ... Full description

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Description

This paper develops a method to approximate arbitrage-free bond yields within a term structure model in which the short rate follows a Gaussian process censored at zero (a shadow-rate model as proposed by Black, 1995). The censoring ensures that model-implied yields are constrained to be positive, but it also introduces non-linearity that renders standard bond pricing formulas inapplicable. In particular, yields are not linear functions of the underlying state vector as they are in a ne term structure models (see Piazzesi, 2010). Existing approaches towards computing yields in shadow-rate models suffer from high computational burden or low accuracy. In contrast, I show that the technique proposed in this paper is sufficiently fast for single-step estimation of a three- factor shadow-rate term structure model, and sufficiently accurate to evaluate yields to within approximately half a basis point.

More Information

Author Federal Reserve Board
Publisher CreateSpace Independent Publishing Platform
Release year 2014
Cover type Softcover
EAN 9781503223738
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€16.76 €20.95