Nearest-Neighbor Forecasts of U.S Interest Rates

Authors

  • John Barkoulas University of Tennessee, United States
  • Christopher F. Baum Boston College, United States
  • Atreya Chakraborty Cambridge, MA 02144, United States

DOI:

https://doi.org/10.32890/ijbf2003.1.1.6

Abstract

We employ a nonlinear, nonparametric method to model the stochastic behavior of changes in several short and long term U.S interest rates. We apply a nonlinear autoregression to the series using the locally weighted regression (LWR) estimation method, a nearest-neighbor method, and evaluate the forecasting performance with a measure of root mean square error (RMSE). We compare the forecasting performance of the nonparametric fit to the performance of two benchmark linear model: an autoregressive model and a random-walk-with-drift model. The nonparametric model exhibits greater out-of-sample forecast accuracy that of the linear predictors for most U.S interest rate series. The improvements in forecast accuracy are statistically significant and robust. This evidence establishes the presence of significant nonlinear mean predictability in U.S interest rates, as well as the usefulness of the LWR method as modeling strategy for these benchmark series.

References

Brennan, M., & Schwartz, E. (1979). A continuous time approach to the pricing of bonds, Journal of Banking and Finance, 3, 135-155.

Brock, W. A. (1986). Distinguishing random and deterministic systems: An expanded version, Journal of Economic Theory, 90, 168-195.

Brock, W., Dechert, W. D., & Scheinkman, J. (1987). A Test for Inde-pendence Based on the Correlation Dimension, Economics Work-ing Paper SSRI-8702, University of Wisconsin.

Brock, W., Hsieh, D., & LeBaron, L. (1991). Nonlinear Dynamics, Chaos and Instability, Cambridge, MIT Press, MA.

Broze, L., Scaillet, O., & Zakoian, J, (1995), Testing for continuous time models of the short-term interest rate, Journal of Empiri-cal Finance, 2, 199-223.

Chan, K. C., Karolyi, G. A., Longstaff, F. A., & Sanders, A. B. (1992). An empirical comparison of alternative models of the short-term interest rate, Journal of Finance, 47, 1209-1227.

Cleveland, W. A. (1979). Robust locally weighted regression and smooth-ing scatterplots, Journal of the American Statistical Associa-tion, 74, 829-836.

Cleveland, W. A., & Devlin, 8. J. (1988). Locally weighted regression: An approach to regression analysis by local fitting, Journal of the American Statistical Association, 83, 596-610.

Cleveland, W. S., Devlin, S., & Grosse, E. (1988). Regression by local fitting: Methods, properties, and computational algorithms, Jour-nal of Econometrics, 37, 87-114.

Cox, J. C., Ingersoll, J. E., & Ross, 8. A. (1985a). An intertemporal general equilibrium model of asset prices, Econometrica, 53, 363-384.

Cox, J. C., Ingersoll, J. E., & Ross, §. A. (1985b). A theory of term structure of interest rates, Econometrica, 53, 385-407.

Dickey, D.A.,. & Fuller, W.A. (1979). Distribution of estimators for autoregressive time series with a unit root, Journal of the Ameri-can Statistical Association. 84, 427-431.

Diebold, F. X., & Nason, J. (1990). Nonpacaniaitie Exchange Rate Prediction, Journal of International Economics, 28, 315-332.

Diebold, F. X., & Rudebusch, G. D. (1991). On the power of Dickey-Pulas, tests against fractional alternatives, Economics Letters, 35, 155-160.

Dothan, U. L. (1978). On the term structure of interest rates, Journal of Financial Economics, 6, 59-69,

Fuller, W. (1976). Introduction to Statistical Time Series, New York: John Wiley & Sons.

Geweke, J., & Porter-Hudak, S. (1983). The estimation and applica-tion of long memory time series models, Journal of Time Series Analysis, 4, 221-238.

Granger, C. W., & Newbold, P. (1986). Forecasting Economic Time Series (2nd edition). Academic Press, London and San Diego.

Heath, D., Jarrow, R., & Morton, A. (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation, Econometrica, 60, 77-105.

Hodrick, P. J. (1987). Risk, Uncertainty, and Exchange Rates, NBER working paper no. 2429.

Hsieh, D, (1989). Testing for nonlinear dependence in daily foreign exchange rates, Journal of Business, 62, 329-368.

Hsieh, D. (1991), Chaos and nonlinear dynamics: Application to finan-cial markets, Journal of Finance, 5, 1839-1877.

Hsieh, D., & LeBaron, B. (1988). Finite Sample Properties of the BDS Statistic, Working Paper, University of Chicago and University of Wisconsin at Madison.

Kendall, M., & Stuart, A. S. (1977). The Advanced Theory of Statis-tics, New York: Macmillan.

Kuan, C., & Liu, T. (1995). Forecasting exchange rates using feedforward and recurrent neural networks, Journal of Applied Econometrics, 7, 8137-8149.

Kwiatkowski, D., Phillips, P. C. B., Schmidt, P., & Shin, Y. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root?, Journal of Econometrics, 54, 159-178.

Langetieg, T. (1980). A multivariate model of the term structure, Jour-nal of Finance, 35, 71-97.

LeBaron, B. (1988). The Changing Structure of Stock Returns, Work-ing Paper, University of Wisconsin.

LeBaron, B. (1992). Forecast improvements using a volatility index, Journal of Applied Econometrics, 7, 8137-8149.

Longstaff, F.A., & Schwartz, E.S. (1992). Interest rate volatility and the term structure: A two-factor general equilibrium model, Jour-nal of Finance, 47, 1259-1282.

Meese, R. A., & Rose, A. K. (1990). Nonlinear, nonparametric, non-essential exchange rate estimation, American Economic Review Papers and Proceedings, 14, 192-196.

Meese, R. A., & Rose, A. K. (1991). An empirical assessment of nonlinearities in models of exchange rate determination, Review of Economic Studies, 80, 603-619,

Merton, M. C. (1973). The theory of rational oprion pricing, Bell Jour-nal of Economics and Management Science, 4, 141-183.

Mizrach, B. (1992), Multivariate nearest-neighbor forecasts of EMS exchange rates, Journal of Applied Econometrics, 7, $151- $163.

Newey, W., & West, K. (1987). A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance ma-trix, Econometrica, 55, 703-708.

Phillips, P. C. B, (1987). Time series regression with a unit root, Econometrica, 55, 277-301.

Phillips, P. C. B., & Perron, P. (1988). Testing for a unit root in time series regression, Biometrika, 75, 335-346.

Richard, 8. F. (1978). An arbitrage model of the term structure of interest rates, Journal of Financial Economics, 6, 33-57.

Schaefer, S. M., & Schwartz, E. S. (1984). A two-factor model of the term structure: An approximate analytical solution, Journal of Financial and Quantitative analysis, 19, 413-424.

Stone, C. J. (1977). Consistent non-parametric regression, Armals of Statistics, 5, 595-645.

Vasicek, O. (1977). An equilibrium characterization of the term struc-ture, Journal of Financial Economics, 5, 177-188.

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Published

17-03-2003

How to Cite

Barkoulas, J., Baum, C. F., & Chakraborty, A. (2003). Nearest-Neighbor Forecasts of U.S Interest Rates. International Journal of Banking and Finance, 1(1), 119-140. https://doi.org/10.32890/ijbf2003.1.1.6

Research impact

Harvested 2026-09-07
9 citations, from OpenAlex — the highest of the sources checked

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Identifiers DOI 10.32890/ijbf2003.1.1.6 OpenAlex W1503127484

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