This article tests the performance of a wide variety of well-known continuous time models-with particular emphasis on the Black, Derman, and Toy (1990; henceforth BDT) term structure model-in capturing the stochastic behavior of the short term interest rate volatility. Many popular interest rate mod
Nonlinear asymmetric models of the short-term interest rate
โ Scribed by K. Ozgur Demirtas
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 218 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0270-7314
No coin nor oath required. For personal study only.
โฆ Synopsis
This study introduces a generalized discrete time framework to evaluate the empirical performance of a wide variety of well-known models in capturing the dynamic behavior of short-term interest rates. A new class of models that displays nonlinearity and asymmetry in the drift, and incorporates the level effect and stochastic volatility in the diffusion function is introduced in discrete time and tested against the popular diffusion, GARCH, and level-GARCH models. Based on the statistical test results, the existing models are strongly rejected in favor of the newly proposed models because of the nonlinear asymmetric drift of the short rate, and the presence of nonlinearity, GARCH, and level effects in its volatility. The empirical results indicate that the nonlinear asymmetric models are better than the existing models in forecasting the future level and volatility of interest rate changes.
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