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Modeling volatility in dynamic term structure models

Hitesh Doshi, Kris Jacobs and Rui Liu

Journal of Financial Economics, 2024, vol. 161, issue C

Abstract: We propose no-arbitrage term structure models with volatility factors that follow GARCH processes. The models’ tractability is similar to canonical affine term structure models, but they fit yield volatility much better, especially for long-maturity yields. This improvement does not come at the expense of a deterioration in yield fit. Because of the improved volatility fit, the model performs substantially better in pricing Treasury futures options. We conclude that the specification of the volatility factors is critical. Modeling volatility as a function of (lagged) squared innovations to factors improves on models where volatility is a linear function of the factors.

Keywords: Term structure; Affine models; Stochastic volatility; GARCH; Treasury futures options (search for similar items in EconPapers)
JEL-codes: C58 E43 G12 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jfinec:v:161:y:2024:i:c:s0304405x24001491

DOI: 10.1016/j.jfineco.2024.103926

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