As discussed many times in my blog, the difference between core CPI and headline CPI (here and below we use seasonally adjusted index) can be approximated by three straight lines: before 1980, between 1980 and 2000, and after 2001. Figure 1 illustrates the concept.
The core CPI is the headline CPI less food and energy. Therefore, the difference is inherently related to the price index for energy, as demonstrated in Figure 2.
The link between the price for energy and consumer price index (inflation) allows suggesting that stock prices related to energy might be driven by the difference between the core and headline CPI. As an example we have selected the Exxon-Mobile Corp. (XOM) as a typical representative of energy industry and the company with the largest weight in S&P 500.
Figure 3 displays two curves - historical (close) price for Exxon-Mobile stocks (black line) and the difference between the core CPI and headline CPI between 1970 and 2009. The latter is scaled by the following function:
where F(t) is the scaled function needed to fit two curves between 2001 and 2008, which is good. There is no fit before 2000, however. At first glance, one might assume that the difference provides no information about the evolution of the price for XOM. This is not a right assumption. Figure 1 shows that linear trend before 2000 was positive and after 2000 – negative. So, it is reasonable to suggest that the sign of slope in (1) should be changed to an opposite one: -5. Free term in (1) is another issue – it can change randomly. After reversing the sign and calibrating relevant amplitude and level between 1980 and 2001 by the function:
we obtain a much better fit as depicted in Figure 4.
Now we can conclude that the difference between the core CPI and the headline CPI is a very good approximation of the evolution of the price of energy-related stocks, except short periods of spike-like behavior. (We are looking into this problem, but have no even preliminary explanation.) On the other hand, these spikes were in the past, and we would be more interested in the near future movement in the XOM prices. Figure 5 shows the most recent period between 2000 and 2009. The fit between the observed and predicted (from the CPI) price is remarkable. Although, this is not a fundamental finding, because the CPI includes the price index for energy. So, we correlate energy and a derivative of energy. The fundamental findings are as follows:
1. During the short periods of transition between linear trends, as shown in Figure 3, the price for energy-related stocks (for example, XOM) suffers a strong fall. It might be induced by an elevated volatility in the CPI associated with the transitions.
2. The dependence of the price for energy-related stocks on the difference between core CPI and CPI currently likely undergoes a transformation from a negative factor (-5) to a positive one (+5) (see Figure 1)
3. Because the difference (core CPI- CPI) will be positive during the next 5 to 10 years, the price for XOM is likely to grow despite the price index for energy will be growing at lower rate than the core CPI (see Figure 2).
4. A new rally will likely start by the end of the transition period.
Figure 1. The difference between core CPI and headline CPI as a function of time. One can distinguish three lengthy periods of quasi-linear behavior. Since the second half of 2008, the difference has been suffering a transition to a new linear trend with a positive slope.
Figure 2. The difference between the core CPI and the index for energy is similar to that between the core CPI and CPI in Figure 1.
Figure 3. Historical (close) price for Exxon-Mobile (black line) and the difference between the core CPI and headline CPI between 1970 and 2009. The latter is scaled by the following function: 5*(core CPI- CPI) + 90, in order to fit two curves between 2001 and 2008.
Figure 4. Historical (close) price for Exxon-Mobile (black line) and the difference between the core CPI and headline CPI between 1970 and 2009. The latter is scaled by the following time dependent function:
-5*(core CPI- CPI) + 35, between 1980 and 2001;
+5*(core CPI- CPI) + 90, between 2001 and 2009.
Figure 5. Comparison of the observed and predicted price for XOM stocks between 2000 and 2009.
The core CPI is the headline CPI less food and energy. Therefore, the difference is inherently related to the price index for energy, as demonstrated in Figure 2.
The link between the price for energy and consumer price index (inflation) allows suggesting that stock prices related to energy might be driven by the difference between the core and headline CPI. As an example we have selected the Exxon-Mobile Corp. (XOM) as a typical representative of energy industry and the company with the largest weight in S&P 500.
Figure 3 displays two curves - historical (close) price for Exxon-Mobile stocks (black line) and the difference between the core CPI and headline CPI between 1970 and 2009. The latter is scaled by the following function:
F(t) =5*(core CPI- CPI) + 90 (1)
where F(t) is the scaled function needed to fit two curves between 2001 and 2008, which is good. There is no fit before 2000, however. At first glance, one might assume that the difference provides no information about the evolution of the price for XOM. This is not a right assumption. Figure 1 shows that linear trend before 2000 was positive and after 2000 – negative. So, it is reasonable to suggest that the sign of slope in (1) should be changed to an opposite one: -5. Free term in (1) is another issue – it can change randomly. After reversing the sign and calibrating relevant amplitude and level between 1980 and 2001 by the function:
G(t) = (-5)*(core CPI- CPI) + 35 (2)
we obtain a much better fit as depicted in Figure 4.
Now we can conclude that the difference between the core CPI and the headline CPI is a very good approximation of the evolution of the price of energy-related stocks, except short periods of spike-like behavior. (We are looking into this problem, but have no even preliminary explanation.) On the other hand, these spikes were in the past, and we would be more interested in the near future movement in the XOM prices. Figure 5 shows the most recent period between 2000 and 2009. The fit between the observed and predicted (from the CPI) price is remarkable. Although, this is not a fundamental finding, because the CPI includes the price index for energy. So, we correlate energy and a derivative of energy. The fundamental findings are as follows:
1. During the short periods of transition between linear trends, as shown in Figure 3, the price for energy-related stocks (for example, XOM) suffers a strong fall. It might be induced by an elevated volatility in the CPI associated with the transitions.
2. The dependence of the price for energy-related stocks on the difference between core CPI and CPI currently likely undergoes a transformation from a negative factor (-5) to a positive one (+5) (see Figure 1)
3. Because the difference (core CPI- CPI) will be positive during the next 5 to 10 years, the price for XOM is likely to grow despite the price index for energy will be growing at lower rate than the core CPI (see Figure 2).
4. A new rally will likely start by the end of the transition period.
Figure 1. The difference between core CPI and headline CPI as a function of time. One can distinguish three lengthy periods of quasi-linear behavior. Since the second half of 2008, the difference has been suffering a transition to a new linear trend with a positive slope.
Figure 2. The difference between the core CPI and the index for energy is similar to that between the core CPI and CPI in Figure 1.
Figure 3. Historical (close) price for Exxon-Mobile (black line) and the difference between the core CPI and headline CPI between 1970 and 2009. The latter is scaled by the following function: 5*(core CPI- CPI) + 90, in order to fit two curves between 2001 and 2008.
Figure 4. Historical (close) price for Exxon-Mobile (black line) and the difference between the core CPI and headline CPI between 1970 and 2009. The latter is scaled by the following time dependent function:
-5*(core CPI- CPI) + 35, between 1980 and 2001;
+5*(core CPI- CPI) + 90, between 2001 and 2009.
Figure 5. Comparison of the observed and predicted price for XOM stocks between 2000 and 2009.
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