A number of empirical studies assert that interest rates are governed by unit root processes rejecting anyform of reversion to a long term mean by resorting to certain tests, among which the Augmented DickeyFuller (ADF) is the most widely used one. In this study, we propose an alternative testing methodologythat can be applied along with ADF test, in the sense that there are times where it can capture stationarity when the other fails to do so. Moreover, our test has more power than ADF test. As an applicationto real-data, we consider 10-year US and Turkish T-bond rates.© 2017 Central Bank of The Republic of Turkey. Production and hosting by Elsevier B.V. This is an openaccess article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Brooks, C., 2014. Introductory Econometrics for Finance 3rd Edition. Cambridge University Press.
Buse, A., 1982. The likelihood ratio, wald and lagrange multiplier tests: an expository note. Am. Statistician 36 (3) (Part I).
Central Bank of the Republic of Turkey, Inflation and Price Stability Report, (2014) URL: http://www.tcmb.gov.tr/wps/wcm/connect/22dbefd0-b9db-48ff-9f9f68835b673f8a/Enflasyon_FiyatIstikrari.pdf?MOD- ¼AJPERES&CACHEID¼ROOTWORKSPACE-22dbefd0-b9db-48ff-9f9f68835b673f8a-ksqwWxp.
Dickey, D.A., Fuller, W.A., 1979. Distribution of the estimators for autoregressive time series with a unit root. J. Am. Stat. Assoc. 74 (366), 427e431.
Donsker, M.D., 1951. An invariance principle for certain probability limit theorems. Memoir. Am. Math. Soc. 1951 (6).
Donsker, M.D., 1952. Justification and extension of Doob's heuristic approach to the KolmogoroveSmirnov theorems. Ann. Math. Stat. 23, 277e281.
End, J.W., 2011. Statistical Evidence on the Mean Reversion of Interest Rates. DNB Working PaperNo. 284.
MacDonald, R., Murphy, P., 1989. Testing for the long-run relationship between nominal interest rates and inflation using cointegration techniques. Appl. Econ. 21 (4), 439e447.
Ornstein, L., Uhlenbeck, G., 1930. On the theory of the Brownian motion. Phys. Rev. 36, 823e841.
Patterson, K., 2010. A Primer for Unit Root Testing. Palgrave Macmillan.
Phillips, P.C., Perron, P., 1988. Testing for a unit root in time series regression. Biometrika 75 (2), 335e346.
Rose, A.K., 1988. Is the real interest rate stable? J. Finance 43, 1095e1112.
Siklos, P.L., Wohar, M.E., 1997. Convergence of interest rates and inflation rates across countries and over time. Rev. Int. Econ. 5, 129e141.
Szimayer, A., Maller, R., 2004. Testing for Mean Reversion in Processes of OrnsteinUhlenbeck Type Statistical Inference for Stochastic Processes, vol. 7, pp. 95e113.
Vasicek, O., 1977. An equilibrium characterization of the term structure. J. Financ. Econ. 2 (5), 177e188.
Wu, J.L., Chen, S.L., 2001. Mean reversion of interest rates in the eurocurrency market. Oxf. Bull. Econ. Stat. 63 (4), 459e473.
Wu, Y., Zhang, H., 1997. Do interest rates follow unit-root Processes? Evidence from cross-maturity treasury bill yields. Rev. Quant. Finance Account. 8, 69e81.