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< South Africa's GDP
Economics Main Page >

South Africa's Taylor's Rule Calculated up to Q1:2020, after a significant interest rate cut

Date: 22 March 2020
Category: Economics and Interest Rates
After a very welcome interest rate cut by the South African Reserve Bank (SARB) earlier this week we take a look at Taylor's Rule estimated interest rate levels for South Africa. And find that while the SARB was far behind the curve, the decisive action taken this week brings the REPO rate to a lot closer to where it is supposed to be, based on Taylor's Rule
South Africa's latest interest rates and Taylor's Rule estimated interest rate

Related Topics

  • ​Inflation Heat Map
  • South Africa's Monetary Fiscal Policy Mix
  • SA's munfacturing under utilisation

About Taylor's Rule

Taylor's rule was developed and refined by economist John Taylor in 1993. It is used as a guide to show what nominal interest rates of a country should be based an various variables that include:
  • Inflation Target
  • Actual Inflation
  • Real GDP
  • Potential GDP
  • Equilibrium Real Interest Rates

The actual formula being used:
Interest Rates= CPI + Equilibrium Real Interest Rates+ab*(CPI-CPItarget)+xy*(RealGDP-PotentialRealGDP). Where ab and xy are ratios (0.5 for both as recommended by Taylor).



The graphic below shows the repurchase rate (REPO rate) as set by the South African Reserve Bank (SARB) and our Taylor's rule calculation. 
  • REPO Rate (Blue Line)
  • Taylors Rule (RedLine)

​From the graphic it is clear that the underlying trends are very similar even though the level and magnitude of movements are different. Based on our estimates for Taylor's Rule South Africa's interest rates were way to high at end of 2003 (based on the big differential between the actual REPO rate and Taylor's rule). This differential closed considerably and by the end of 2005 the two lines were pretty close. They remained very close until the first quarter of 2011, when divergence took place again. 
chart created with amCharts | amCharts
The divergence in 2011 continued and the two lines only started getting closer by the end of 2014. Perhaps this divergence between Taylor's rule and the actual REPO rate is why the South African Reserve Bank has been talking tough and continued with their interest rate increase cycle, even though inflation is currently driven by external factors (such as the drought in South Africa) and higher crude oil prices which has nothing to do with consumer spending. The average interest rate suggested by Taylor's rule over the period is  6.15% and the average Repo rate for the period is 7.11%, showing that the two series over the time span is very close, even though the magnitudes at different points in time differ significantly. Based on the graphic above South Africa's current interest rates are to high, and that SARB MPC should have been cutting rates recently to accommodate the struggling economy. 

Based on Taylor's rule, South Africa's REPO rate right now should be at 5.73% and up until Thursday last week the REPO rate was sitting at 6.25% well above the suggested rate for South Africa as based on Taylor's rule. But during last week the South African Reserve Bank surprised everyone, including the most optimistic economists in South Africa, when  they cut the benchmark REPO rate from 6.25% to 5.25%. The biggest interest rate cut in South Africa in decades. And this is largely due to the fact that central banks across the world cut interest rates significantly to try and counter the economic effects that is to unfold due to the Coronavirus pandemic. The South African Reserve Bank also stated that their future expectations of the inflation rate is lower than it was at its previous MPC meeting, which shows that underlying inflation is very subdued in South Africa. Even though the latest inflation numbers came in just above the midpoint of the South African Reserve Bank inflation target level of between 3% and 6%

We are worried about the fact that the South African Reserve Bank Monetary Policy Committee (SARB MPC) still believes that inflation in South Africa can be effectively controlled using interest rates. We believe that that the SARB MPC should clearly distinguish between Cost Push inflation and Demand Pull inflation. Cost push inflation is when inflation rises due to increased input costs in production and manufacturing. Prime example being fuel prices. The rise in fuel prices and the effect that has on inflation has nothing to do with consumers spending more.

Demand Pull inflation is a situation where increased demand for goods and services from consumers pushes up prices, as retailers and businesses look to maximize profits by pushing up prices when the demand for a good increases.

While raising interest rates are effective at deterring Demand Pull inflation, raising interest rates will not lower fuel prices so it will hardly have an effect on inflation caused by Cost Push factors. All it will do is make consumers spend less, which will impact on the levels of inflation of other categories and "hopefully" indirectly reduce inflation. 
So how did we calculate Taylor's rule's estimates? All data was converted into quarterly data since the GPD data is published quarterly.
  • Real GDP: 2010 Constant Prices GDP at Market Prices
  • Potential Real GDP: We adjusted Real GDP by the percentage of manufacturing under utilisation (see more regarding manufacturing on our manufacturing page), to estimate South Africa's potential GDP if manufacturing was running at full capacity.
  • Inflation Target: We used the upper band (6%) of the Reserve Bank's 3% to 6% inflation target.
  • Equilibrium Real Interest Rates: We used the average interest rate over the period as the equilibrium interest rate (and adjusted it with inflation to get the Equilibrium Real Interest Rate)
  • Ab and Xy: We used 0.5 as suggested by Taylor.

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Related Topics

  • ​Inflation Heat Map
  • South Africa's Monetary Fiscal Policy Mix
  • SA's munfacturing under utilisation​


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