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A comparative study of several bootstrap-based tests for the volatility in continuous-time diffusion models

  • Tianshun YanEmail author
  • Liping Zhang
Original Article

Abstract

This article develops three bootstrap-based tests for a parametric form of volatility function in continuous-time diffusion models. The three tests are the generalized likelihood ratio test by Fan et al. (Ann Stat 29(1):153–193, 2001), the nonparametric kernel test (LWZ) by Li and Wang (J Econometrics 87(1):145–165, 1998) and Zheng (J Econ 75(2):263–289, 1996) and the nonparametric test (CHS) by Chen et al. (2017). Monte Carlo simulations are performed to evaluate the sizes and power properties of these bootstrap-based tests in finite samples over a range of bandwidth values. We find that the bootstrap-based tests are not influenced by prior restrictions on the functional form of the drift function and that the bootstrap-based CHS test has better power performance than the bootstrap-based GLR and LWZ tests in detecting a parametric form of volatility. An empirical study on weekly treasury bill rate is further conducted to demonstrate these bootstrap-based test procedures.

Keywords

Continuous-time diffusion models Generalized likelihood ratio test Nonparametric kernel test Bootstrap Treasury bill rate 

JEL Classification

C12 C13 C58 

Notes

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Copyright information

© ISEG – Instituto Superior de Economia e Gestão 2019

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’anChina
  2. 2.School of FinanceChongqing Technology and Business UniversityChongqingChina

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