Here, I continue
presenting cases of accurate predictions based on the link between real GDP and
unemployment, which is a modified Okun’s law in an integral form. This is a four-year
update for Canada. The model prediction is getting better and better!

Canada provides an excellent
set of macroeconomic data, which can be described by a few deterministic links
with a high level of reliability and confidence. We have retrieved real GDP (GK
per capita) data from the Total Economic Database and the rate of
unemployment from the OECD. In 2012, we
published a paper in the Journal of Theoretical and Practical Research in
Economic Fields, where presented the first version of the modified Okun’s law for
developed countries including Canada. The model was estimated till 2010 and
used the data available in 2011.

The original model
for Canada was also presented in this blog in 2011. It’s time to revisit
the model and its predictions. It has to be mentioned that all coefficients below
were estimated 6 years ago and we do not change them. Overall, the model is
estimated using the LSQ technique to the integral version of Okun’s law:

*u(t) = u(t*[_{0}) + bln*G/G*]_{0}*+ a*(*t-t*) (1)_{0}where

*u(t)*is the predicted rate of unemployment at time

*t*,

*G*is the level of real GDP per capita,

*a*and

*b*are empirical coefficients. For Canada, we estimated the model with a structural break allowed by data somewhere between 1980 and 1990. The best-fit (dynamic) model minimizing the RMS error of the cumulative model (1) is as follows:

*du =*-0.28

*dlnG +*1.16

*, t before*1983

*-0.28*

du =

du =

*dlnG +*0.30

*, t after*1982 (2)

This model suggests no shift in the slope and a bigger change in the intercept around 1983. Figure 1 depicts the observed and predicted curves of the unemployment rate. Considering the accuracy of measurements for both involved variable the fit is excellent. The integral form of the dynamic Okun’s law (1) is characterized by a standard error of 0.66% for the period between 1971 and 2016. The average rate of unemployment for the same period is 8.12% with a standard deviation of the annual increment of 0.92%. Figure 2 shows that when the observed time series is regressed against the predicted one, R

^{2}=0.87.

One can suggest that the rate of unemployment has been driven by real economic growth and there is no much room for other macroeconomic variable to intervene. Currently, Canada need approximately 1% per year increase in GDP per capita in order unemployment to fall. Otherwise, it will be growing as it was in 2015 and 2016. With decaying economic growth, as described in this post, the rate of unemployment will be growing in Canada.

Figure 1. The observed and predicted rate of unemployment in the Canada between 1970 and 2016.

Figure 2. The measured time series is regressed against the predicted one. R

^{2}=0.87 with both time series likely to be stationary.

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