Search Results for: trend

Long-time readers of the blog are familiar with my long-running series (and sidebar data) on The Trend, which puts short-term swings in the U.S. stock market into perspective vs. its long-term performance.  Being that stock prices have fallen considerably (about 20% since the start of the year, about 14% from a year ago), folks may naturally be concerned what this means and whether people relying on their savings have been getting poorer by the minute.

The point I keep trying to make is that, over the long haul, the U.S. stock market yields (less dividends) about 7 percent a year.  Some years are better, some worse, but over time the market abides by this rate of return.  I hate to put it in terms of “this is all we deserve” but the performance of investments over decades suggests that this is the case.  We can’t help but come back to the trend line.  It reflects how human capitalists judge risk.

The chart below is my latest update on how stock prices of the largest U.S. companies have fared vs. the long-term (1950-2012) trend.  The areas in red show when stock prices were inflated relative to their long-term trend, while the areas in green show when stock prices were depressed:What this chart tells us is, even with this year’s losses, the stock market remains ahead of where we should expect it to be.  Trump juiced it up in 2018 with his corporate tax cuts; pandemic relief legislation and absurdly low interest rates pumped tons more money into the financial system, which found its way into crypto and tech stock speculation.  These bubbles are now deflating, but they haven’t been flattened.  There may be more to come.

The temptation is great, after a given year in which the value of your retirement savings might have gone up 20% to 30%, to believe that those gains are locked in and they are forever yours now.  Sorry, no.  The market has no Maxwell’s Demon that keeps one from losing statistically-outsized gains.  The Trend will, eventually, have its say.

Be the first to comment | Read other posts in Finance

I have written two posts about long-term trends in the U.S. stock market, as represented by the S&P 500 price index.  My first post, The Trend, showed how the index swings above and below its long-term trend but eventually returns to the trendline.  My second post, The Trend Revisited, introduced the sidebar widget I created for the blog which compares the current index to the value predicted by The Trend.

My third post on this subject tries to address a point that always bothered me: why offer information about stock market trends (or any topic for that matter) unless it allows one to act on it?  I hope the following analysis makes a contribution toward that end.

My goal is to show whether the amount that the current price is above-or-bel0w-trend says something useful about the return one may expect over the next twelve months and the chance that this return is positive.  This is the type of information one might act on.

To get started, I downloaded a list of the monthly closing prices of the S&P 500 index from January 1950 to November 2017.  Next, I calculated the amount that each price was above or below the trend and used that to sort the prices into buckets: 50% to 30% below trend, 30% to 10% below trend, 10% below to 10% above, and so on.  Finally, for each of the month-end prices, I wrote down how much the price had increased (or decreased) twelve months later.

I present this data in the chart below.  Each horizontal bar represents the one-year return for a specific month in the timeframe, using blue bars for positive returns and red bars for negative returns.  For example, the lowest red bar at bottom right represents the change (-28.8%) in the S&P 500 index from September 30, 2000 (when the monthly closing price was 99.4% above trend) to September, 30, 2001.

You will notice a weak (but noisy) correlation between the amount that the current price is above or below trend and the one-year-later price change.  Roughly speaking, the expected one-year-later return decreases by 1% for every 7.25% that the current price is above trend.

Because there were relatively few data points in the uppermost trend buckets, I combined the four highest buckets for this analysis.  Here are the results of interest, in tabular form:

Above/Below Trend Range n Average One-Year Return (%) Std Dev One-Year Return (%) Chance of Positive Return
-50% to -30% 106 15.0 15.0 84%
-30% to -10% 164 13.8 14.1 84%
-10% to +10% 227  7.9 14.8 70%
+10% to +30% 167  7.5 16.1 68%
+30% and up 139  1.0 15.2 53%

First take note of the one-year returns.  The average one-year-later return is pretty decent, as long as the current price is less than 30% above trend.  If the current price is more than 30% above trend, one’s expected one-year return is close to zero.

But also take note of the standard deviation (uncertainty) of the one-year-later returns.  The uncertainty in the return, in every trend range, is about 15 percent.  This means that, about two-thirds of the time, the actual return will be somewhere from 15 percent less to 15 percent more than the average return.  This is a large uncertainty for a one-year return: 15 percent represents about two years’ worth of typical returns.

This brings me to the last column, Chance of Positive Return.*  As these figures show, one has an 84% chance of making money a year later if the current price is 10% or more below the trend.  This offers the best opportunity.  If the current price is 10% below to 30% above the trend, one still has a 68% chance of making money a year later.  But if the current price is 30% or more above trend, the chance of coming out ahead one year later is only 50-50.

[This sentence exists for the sole purpose of allowing your mind to absorb these figures.]

As I said earlier, information is useless if one cannot take action by knowing it.  The action one might take based on the amount the S&P 500 index is above (or below) trend would be to sell (or buy) stocks.  Based on this analysis, I suggest that one consider selling stocks if the current price is 30% greater than that predicted by the trend, because one’s chance of coming out ahead a year later is no better than 50-50.

In all other cases, I would suggest holding onto your investments if you can weather the possibility of a negative return.  (If you cannot weather that possibility, you should not be investing in the stock market or mutual funds in the first place.)

One last item.  You may ask, why did I focus on one-year returns as opposed to some other time period, such as six months or three years?  It is because once-a-year is about the right frequency for most people to review their savings and investments and make adjustments.  The Trend is only one factor (and a minor one at that) to take into account when reviewing your investments.  As the table suggests, The Trend is mostly useful for detecting bubbles and avoiding their collapse.

Today, as I publish this article, the S&P 500 index is about 10% above trend.  My analysis suggests this is nothing to get excited about.  There is a roughly two-thirds chance that the price one year from now will be somewhere between 7.8% lower and 23.2% higher, with an expected increase of about 7.7% and a 69% chance of making money.

Here is hoping that you will now find The Trend useful, at last.

________________

* To estimate the chance that the one-year return would be positive (for a given range), I first found the mean and the standard deviation of the return data for that range.  Then, using the assumption that the one-year return data would be normally distributed, I calculated the Z-score for the zero-return point and then the fraction of the normal distribution that falls above this Z-score.  That fraction of the distribution represents the chance that the one-year return is positive.

 

Be the first to comment | Read other posts in Finance

Once again, the news media are reporting new highs in popular stock market indexes.  Does this mean it is a good time to invest?  Or is it a good time to sell and take profits?

I have absolutely no idea.  What I can do is tell you where we stand relative to The Trend.  (For details, please refer to my earlier post on this topic.)  After a little programming, I was able to add an information box to my sidebar that shows:

  • the current price of the S&P 500 index (updated every hour)
  • the predicted value of the S&P 500 index based on The Trend
  • the percentage difference between the index and its predicted value
  • the number of days that the index is ahead or behind its trend line

The S&P 500 index increases, on average, 7.1% every year — some years more, some less.  Since the index often goes up or down 1% or more in a single day, small departures from The Trend are meaningless.  As I write this, the S&P 500 index is almost right on trend — neither “on sale” nor historically overpriced.  It could stay this way for years, or the index could plunge or skyrocket overnight.  But it will inevitably return to the trend line.

For what it’s worth.

Be the first to comment | Read other posts in Life