A system for forecasting Chilean cash demand – the role of forecast combinations

Camila Figueroa S (1) , Michael Pedersen (2)
(1) conomic Research Department, Central Bank of Chile. , Chile
(2) Economic Research Department, Central Bank of Chile , Chile

Abstract

Monetary authorities have to plan how many units of coins and banknotes they need to buy / produce to meet the needs of the economy. This paper presents a system that contains time series models as well as some with fundamental variables to forecast the aggregate cash in circulation as well as the denominations of coins and banknotes. The evidence suggests that the simple average of all the models performs quite well when projecting total stock in circulation, while individual models and sub-combinations often make better predictions for the denominations, which may be due to a small sample problem as a very limited number of forecasts is available. Additional exercises indicate that precise predictions of fundamental variables provide useful input for the predictions of the future circulating cash and that the summation of the denomination forecasts does not beat the prediction of the aggregate circulating stock.

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References

Akinci, Ö. (2003). “Modelling the Demand for Currency Issued in Turkey.” Central Bank Review 3(1): 1-25.

Amromin, G. and S. Chakravorti (2009). “Whither Loose Change? The Diminishing Demand for Small Denomination Currency.” Journal of Money, Credit and Banking 41(2-3): 315–35.

Bagnall, J., D. Bounie, K.P. Huynh, A. Kosse, T. Schmidt, S. Schuh, and H. Stix (2014). “Consumer Cash Usage. A Cross-country Comparison with Payment Diary Survey Data.” Working Paper No. 1685, European Central Bank.

Barnett, W., D. Fisher, and A. Serletis (1992). “Consumer Theory and the Demand for Money.” Journal of Economic Literature 30(4): 2086–119.

Bartzsch, N., F. Seitz, and R. Setzer (2015). “The Demand for Euro Banknotes in Germany: Structural Modelling and Forecasting.” MPRA paper 64949, University Library of Munich, Germany.

Baumol, W.J. (1952). “The Transactions Demand for Cash: An Inventory Theoretic Approach.” Quarterly Journal of Economics 66(4): 545–56.

Bell, W.R. and S.C. Hillmer (1983). “Modelling Time Series with Calendar Variation.” Journal of the American Statistical Association 78(383): 526–34.

Briglevics, T. and S. Schuh (2014). “U.S. Consumer Demand for Cash in the Era of Low Interest Rates and Electronic Payments.” Working Paper No. 1660, European Central Bank.

Central Bank of Chile (2016): Financial Stability Report, first half.

Chumacero, R.A., C. Pardo, and D. Valdés (2008). “Un Marco para la Elaboración de los Programas de Impresión y Acuñación.” Economía Chilena 11(1): 29–59.

Columba, F. (2009). “Narrow Money and Transaction Technology: New Disaggregated Evidence.” Journal of Economics and Business 61(4): 312–25.

Cusbert, T. and T. Rohling (2013). “Currency Demand during the Global Financial Crisis: Evidence from Australia.” Research Discussion Paper 2013-01, Reserve Bank of Australia.

Dickey, D.A. and W.A. Fuller (1979). “Distribution of the Estimators for Autoregressive Time Series with a Unit Root.” Journal of the American Statistical Association 74(366): 427–31.

Diebold, F.X. and R. Mariano (1995). “Comparing Predictive Accuracy.” Journal of Business and Economic Statistics 13(3): 253–65.

Diebold, F.X. and M. Shin (2017). “Beating the Simple Average: Egalitarian LASSO for Combining Economic Forecasts.” PIER Working Paper No. 17-017. Available at SSRN: https://ssrn.com/abstract=3032492 or http://dx.doi.org/10.2139/ssrn.3032492.

Doornik, J. and H. Hansen (2008). “An Omnibus Test for Univariate and Multivariate Normality.” Oxford Bulletin of Economics and Statistics 70(Supplement s1): 927–39.

Doyle, B.M. (2000). “‘Here, Dollars, Dollars…’ – Estimating Currency Demand and Worldwide Currency Substitution.” International Finance Discussion Paper No. 330, Board of Governors of the Federal Reserve System.

Duca, J.V. and D.D. VanHoose (2004). “Recent Developments in Understanding the Demand for Money.” Journal of Economics and Business 56(4): 247–72.

Dunbar, G.R. (2014). “Demographics and the Demand for Currency.” Working Paper 2014-59, Bank of Canada.

Elliott, G., T.J. Rothenberg and J. Stock (1996). “Efficient Test for an Autoregressive Unit Root.” Econometrica 64(4): 813–36.

Elliott, G. and A. Timmermann (2016): Economic Forecasting, Princeton University Press.

Fischer, B., P. Köhler, and F. Seitz (2004). “The Demand for Euro Area Currencies: Past, Present and Future.” Working Paper 330, European Central Bank.

Gerst, J. and D.J. Wilson (2011). “An Analytical Framework for the Forecasting and Risk Assessment of Demand for Fed Cash Services.” Technical Paper, Federal Reserve Bank of San Francisco.

Harvey, D.I., S.J. Leybourne, and P. Newbold (1997). “Testing the Equality of Prediction Mean Squared Errors.” International Journal of Forecasting 13(2): 281–91.

Hendry, D.F. and K. Hubrich (2011). “Combining Disaggregate Forecasts or Combining Disaggregate Information to Forecast an Aggregate.” Journal of Business and Economic Statistics 29(2): 216–27.

Johansen, S. (1988). “Statistical Analysis of Cointegration Vectors.” Journal of Economic Dynamic and Control 12(2–3): 231–54.

Johansen, S. (1995): Likelihood-Based Inference in Cointegrated Vector Autoregressive Models, Second print, Oxford University Press.

Juselius, K. (2006). The Cointegrated VAR Model: Methodology and Applications, Oxford University Press.

Khamis, M. and A. Leone (2001). “Can Currency Demand Be Stable under a Financial Crisis? The Case of Mexico.” IMF Staff Papers 48, 344-366.

Kwiatkowski, D., P. Phillips, P. Schmidt, and Y. Shin (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(1–3): 159–78.

MacKinnon, J.G. (1996). “Numerical Distribution Functions for Unit Root and Cointegration Tests.” Journal of Applied Econometrics 11(6): 601–18.

MacKinnon, J.G., A.A. Haug, and L. Michelis (1999). “Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration.” Journal of Applied Econometrics 14(5): 563–77.

Miller, C. (2017). “Addressing the Limitations of Forecasting Banknote Demand.” International Cash Conference 2017 – War on Cash: Is there a Future for Cash? 25–27 April, Island of Mainau, Germany.

Nachane, D.M., A.B. Chakraborty, A.K. Mitra, and S. Bordoloi (2013). “Modelling Currency Demand in India: An Empirical Study.” Study No. 39, Department of Economic and Policy Research, Reserve Bank of India.

Newbold, P., C. Agiakloglou, and J. Miller (1994). “Adventures with ARIMA Software.” International Journal of Forecasting 10(4): 573–81.

Newey, W.K. and K.D. West (1994). “Automatic Lag Selection in Covariance Matrix Estimation.” Review of Economic Studies 61: 631–53.

Phillips, P.C.B. and P. Perron (1988). “Testing for a Unit Root in Time Series Regression.” Biometrika 75(2): 335–46.

Sastry, A.S.R. (1970). “The Effect of Credit on Transactions Demand for Cash.” Journal of Finance 25(4): 777–81.

Smith, J. and K.F. Wallis (2009). “A Simple Explanation of the Forecast Combination Puzzle.” Oxford Bulleting of Economics and Statistics 71(3): 331–55.

Stock, J.H. and M.W. Watson (2004). “Combination Forecasts of Output Growth in a Seven-Country Data Set.” Journal of Forecasting 23(6): 405–30.

Tobin, J. (1956). “The Interest Elasticity of the Transactions Demand for Cash.” Review of Economics and Statistics 38(3): 241–47.

Vale, B. (2015). “Forecasting Demand for Various Denominations of Notes and Coins Using Error Correction Models.” Staff Memo No. 1, Norges Bank.

Authors

Camila Figueroa S
Michael Pedersen
S, C. F. ., & Pedersen, M. . (2019). A system for forecasting Chilean cash demand – the role of forecast combinations. ECONOMÍA CHILENA, 22(2), 040–068. Retrieved from https://mail.xn--economachilena-5lb.cl/index.php/economiachilena/article/view/23

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