Timorous evidence of “Contagious Effect” after Dow Sell-Off.

The stock market seems to be returning to the old normal of higher levels of volatility. I suggested on Tuesday that former Fed Chairman Alan Greenspan’s comments could have brought back volatility by triggering the Dow Sell-off on Monday, February 5th. As I wrote early in the week, I believe that we should observe some panic manifestation of economic anxiety because of Mr. Greenspan’s comments. In this Blog Post, I will show two Person Correlation tests that may allow inferences as to how investors’ fear has grown since Mr. Alan Greenspan stated that the American Economy has both a Stock Market Bubble and a Bond Market Bubble. The Pearson correlation tests show that the correlation has strengthened during the last seven days (First week of February 2018), suggesting there might be symptoms of Contagious effect.

I correlate two variables taken from two different time frames for the fifty states. First, the natural logs of the search term “Inflation”; and, the natural logs of the search term “VIX” (Volatility Index). Second, I correlate the natural logs of the same searches for both the last seven days period and the previous twelve months period. By looking at the corresponding coefficients, one may infer that the correlation increased its strengthen after Mr. Greenspan Statements -which reflects on the last seven days data. The primary goal of this analysis is to gather enough information so that analysts can conclude whether there is a Contagious Effect that could make things go worst. Understanding the dynamics of economic crisis starts by identifying the triggers of them.

What is Contagious Effect?

I should say that the best way to explain the Contagious Effect is by citing Paul Krugman’s quote of Robert Shiller (see also Narrative Economics), “when stocks crashed in 1987, the economist Robert Shiller carried out a real-time survey of investor motivations; it turned out that the crash was essentially a pure self-fulfilling panic. People weren’t selling because some news item caused them to revise their views about stock values; they sold because they saw that other people were selling”.

Thus, the correlation that would help infer a link between both expectations is inflation and the index of investors’ fear VIX. As I mentioned above, I took data from Google Trends that show interest in both terms and topics. Then I took the logs of the data to normalize all metrics. The Pearson correlation tests show that the correlation has strengthened during the last seven days, suggesting there might be symptoms of Contagious effect. The over the year Person correlation coefficient is approximate to .49, which is indicative of a medium positive correlation. The over the week Person correlation test showed a stronger correlation coefficient of .74 which is indicative of a stronger correlation. Both p-values support evidence to reject the null hypothesis.

The following is the results table:

February 1st – February 8th correlation (50 U.S. States):

February 2017 – February 2017 (50 U.S. States):

It is worth noting the sequence of the events that led to these series of blog posts. On January 31st, 2018 Alan Greenspan told Bloomberg News: “There are two bubbles: We have a stock market bubble, and we have a bond market bubble.” And, on February 5th, 2018, Dow Jones index falls 1,175 points after the trading day on Monday. As of the afternoon of Friday 9th, the Dow still struggle to recover, and it is considered to be in correction territory.

The Missing Part of the Dow Jones and Stock Market Sell-off Analysis.

The stock market keeps on sending signals of correction as the Dow Jones struggle to rebound from Monday’s 5th of February sell-off. Economic analysts began early in the week to point out to fear of high inflation due to an upward trend in workers compensation. News reports were mostly based on strong beliefs and arguments over the so-called Phillips Curve. However, instead of focusing exclusively on the weak relationship between wages and inflation, I suggest a brief look at the textbook explanation of the link between the stock market and economic activity. In this blog post, I frame the current market correction phenomenon under the arbitrage argument. If one were to consider the arbitrage argument to explain the correction, it would lead analysts to make firm conclusion not only over monetary policy but also over fiscal policy. The obvious conclusion is that Monetary Policy (Interest rates) will most likely aim at offsetting the effects of Fiscal Policy (Tax cuts).

The Arbitrage Argument (simplified):

Market sell-offs unveil a very simple investment dilemma: bonds versus stocks. In theory, investors will opt for the choice that yields higher returns. Firstly, investors look at returns yield by the interest rates, which means a safer way to make money through financial institutions. Secondly, investors look at returns yield by companies, in other words: profits. If such gains yield higher returns than saving rates, investors will choose to invest in the former. In both cases, agreements to repay the instrument will affect the contract and the financial gains, but that is the logic (Things can get messier if one includes the external sector).

The corresponding consequences are the market expectations about the economy. On the one hand, currently investors expect monetary policy to tighten. On top of jobs reports and previous announcement about rate increases, fears of inflation lead to the conclusion that the Federal Reserve Bank will most likely accelerate the pace in rising interest rates for its ten years treasury bond. Such policy will decrease the amount of circulating money, thereby making it harder for business to get funds because, following the arbitrage framework, investors will prefer to invest in safer treasury bonds. On the other hand, investors expect fiscal policy to have an impact on the economy as well. Recent corporate tax cut bolster the expectation for a higher level of profits from the stock market. Such policy may allure investors to believe that financing companies through Wall Street will yield higher returns than the bond market. Thus, sell-offs unveil the hidden expectations of investors in America.

Expectations and the Economy:

Once expectations seem formed and clear concerning declared preferences, (meaning either continuing the correction path for other indexes, or a rebound), investors begin evaluating monetary policy adjustments. They all know the Federal Reserve dual mandate as well as the Taylor Rule. The question is how the Federal Reserve would react to the market preferences based on other leading economic indicators. Will the Fed accommodate? Or will the Fed tighten? As of the first week of February, all events suggest that the Federal Reserve Bank will most likely tighten to offset and counterbalance the recent tax cut incentives and its corresponding spillovers.