DYNAMIC TIME INCONSISTENCY AND THE SOUTH AFRICAN RESERVE BANK

This paper derives the econometric restrictions imposed by the Barro and Gordon model of dynamic time inconsistency on a bivariate time-series model of consumer price index (CPI) inflation and real gross domestic product (GDP), and tests these restrictions based on quarterly data for South Africa covering the period of January 1960-April 1999, i.e. for the pre-inflation targeting period. The results show that the data are consistent with the short- and long-run implications of the theory of time-consistent monetary policy. Moreover, when the model is used to forecast one-step-ahead inflation over the period of January 2001-February 2008, i.e. the period covering the starting point of the inflation-targeting regime until date, we, on average, obtain lower rates of inflation. The result tends to suggest that the South African Reserve Bank perhaps needs to manage the inflation-targeting framework better than it has done so far.     

MEASURING THE WELFARE COST OF INFLATION IN SOUTH AFRICA

In this paper, we estimate the long‐run equilibrium relationship between money balance as a ratio of income and the Treasury bill rate for the period of 1965:02 to 2007:01, and in turn use the relationship to obtain welfare cost estimates of inflation. Using the Johansen technique, we estimate a log‐log specification and a semi‐log model of the above relationship. Based on the fits of the specifications, we decided to rely more on the welfare cost measure obtained under the log‐log money demand model. Our estimates suggest that the welfare cost of inflation for South Africa ranges between 0.34% and 0.67% of GDP, for a band of 3‐6% of inflation. Thus, it seems that the South African Reserve Bank's current inflation target band of 3‐6% is not too poorly designed in terms of welfare.