TY - JOUR AU - Ait-Sahalia,Yacine TI - Testing Continuous-Time Models of the Spot Interest Rate JF - National Bureau of Economic Research Working Paper Series VL - No. 5346 PY - 1995 Y2 - November 1995 UR - http://www.nber.org/papers/w5346 L1 - http://www.nber.org/papers/w5346.pdf N1 - Author contact info: Yacine Ait-Sahalia Department of Economics Fisher Hall Princeton University Princeton, NJ 08544-1021 Tel: 609/258-4015 Fax: 609/258-0719 E-Mail: yacine@princeton.edu AB - Different continuous-time models for interest rates coexist in the literature. We test parametric models by comparing their implied parametric density to the same density estimated nonparametrically. We do not replace the continuous-time model by discrete approximations, even though the data are recorded at discrete intervals. The principal source of rejection of existing models is the strong nonlinearity of the drift. Around its mean, where the drift is essentially zero, the spot rate behaves like a random walk. The drift then mean-reverts strongly when far away from the mean. The volatility is higher when away from the mean. ER -