Showing posts with label Equities. Show all posts
Showing posts with label Equities. Show all posts

Tuesday, June 19, 2012

Financial vs. Capital Expenditures and Equities

Yesterday, I made a bullish case for equities over the long run (especially when compared to bonds), today I will outline one of the reasons I am a bit concerned over the intermediate time frame.

Meb Faber (via a paper by Mauboussin from Legg Mason) shows a table that outlines:
How companies have spent their cash over the past 25 years. Interesting to note is that they spend on average, about 60% of their total spend on capital expenditures, 20% on M&A, and about 10% each on dividends and executed buybacks. The total amount of spend bounces around a bit but is a fairly consistent 20% of market capitalization. Note that buybacks exceeded dividends in 7 out of the past 10 years
Along with the market cap of these corporations, the table shows (as part of a broader paper outlining the benefits and analysis of each) the amount corporations spent on:
  • Dividends
  • Share buybacks
  • M&A
  • Capital expenditures
I'll simplify things and group the first three as "financial expenditures" (or at least spending that isn't used for organic growth) and compare this figure with capital expenditures.

The first chart I'll show compares historical capital expenditures and financial expenditures, normalized as a percent of GDP. While Meb outlines the averages for each category above, what we see is financial expenditures have been trending higher while capital expenditures (as a percent of GDP) have been trending lower. This despite slower underlying economic growth (i.e. slowing growth of the denominator in the capital expenditure to GDP ratio), in part caused by a slowdown in (you guessed it)... capital expenditures. Some thoughts on why financial expenditures have increased in relative importance include the boom in private equity and financial engineering, the shorter-term focus of investors, and a lack of perceived opportunities to deploy cash on projects. Also note how volatile financial expenditures (mainly buybacks and M&A) have been.


The next chart shows the ratio between the two expenditures (financial expenditures divided by capital expenditures). In the late 1980's / early 1990's the ratio was consistently at or below 0.4 (meaning for every $1 spent on dividends, buybacks, and M&A they spent $2.5 on internal growth opportunities), whereas since the late 1990's the ratio has gone above 1 almost 50% of the time (i.e. corporations are now more interested in financial management then building their business through organic growth).


So what does this mean for an investor? Well, returned cash sounds good, but taking the above ratio and comparing it to the three year forward change in market cap (i.e. the value of corporations three years forward) we see a relatively strong (negative) relationship. Unfortunately (and not too surprising when you think about it), when corporations don't put money back into their businesses, the value of these corporations is negatively impacted (they are essentially liquidating vs reinvesting).


I'll leave with one additional point... this all likely reduces the impact of monetary policy (if a corporation is returning cash even at these low rates, why would they borrow more?).

Source: BEA / Meb Faber

Monday, June 18, 2012

Valuation Matters.... Equity vs Bonds Edition

I've shown that valuation matters numerous times over the years when it comes to long-term equity returns (see here, here, and here for some of my favorite examples). The below post uses the same concept in that it compares valuation (i.e. yields) with forward returns, but in this version we compare the relative performance of equities vs. bonds.


The first chart shows the factor that serves as our starting point for valuation... earnings yield of the S&P composite (i.e. the inverse of the P/E ratio) and the yield of the ten year Treasury bond going back 100 years. What we see is a relationship between the two starting about 50 years ago that was non-existent the previous 50 (and the recent divergence that is the widest in almost 40 years).


But the lack of a relationship from 1912-1962 doesn't mean it the relationship wasn't always important. The next chart outlines the forward ten year return differential (annualized) for each starting point against the starting excess yield (the equity earnings yield less the bond yield). Interesting to note that we can easily see the unwarranted excess return that equities saw over bonds starting in the 1980's (i.e. the equity bubble), that was given back over the past ten or so years.


To summarize the above, the next chart outlines the forward ten year return differential (annualized) for each starting point by "bucket" (note that at current valuations we just made it into the 5-7.5% bucket, hence the yellow highlight). The takeaway is that starting yield differentials matter... a lot. To be more specific, the current 5-7.5% bucket means that for every period over the past 100 years when the yield differential was between 5-7.5%, the average annualized ten year forward return differential was a bit more than 8% (8% over the current 1.5% ten year would be 9.5% absolute returns for equities).



While I refuse to state that returns will be anywhere near this 9.5%, by almost all measures stocks appear cheap on a relative basis to Treasury bonds. Unless earnings collapse back to a "normal" percent of the overall economic pie abruptly (definitely possible, but in my view not likely) or the economic pie contracts abruptly, stocks are going to outperform bonds over the next ten years.

Saturday, April 7, 2012

The VIX as an Equity Hedge

Back in January I posted a pair of VIX / S&P 500 tables that outlined the performance of the VIX and the S&P 500 given recent changes in the VIX, as well as the current level of the VIX. In response, reader Nazumo asked:

In service of the perpetual quest to find cheap and reliable hedging vehicles, I'd be curious to see a third table: (change in SPX / change in VIX) against VIX.
That table is below, but first I'll try to explain in a simple manner exactly what we're looking at.

The x-axis shows how much the VIX has changed over the last month (as of Thursday, this would read a '0 to 2.5 point drop' as the VIX reads 16.70 vs 18.05 a month back), while the y-axis shows how much the S&P 500 has changed over the last month in percent terms (as of Thursday, the S&P 500 would read '2.5% to 5%' as the S&P 500 was up around 2.6%).

That gets us to the 8.4% average rise in the VIX over the next month based on these two historical factors (note that I am not saying this will happen going forward); certainly a nice hedge if you can get it should equity markets sell-off.


So, is the VIX a good S&P 500 hedge? Based on the above table and the previous tables which incorporate starting levels the VIX may be a good hedge when:
  • Markets are calm
  • The price of volatility, as a form of insurance, is cheap
In other words, the VIX may be a nice equity hedge.... when you don't think you need it. By the time you KNOW you need(ed) it, after markets sell-off or when the VIX index is rising, it is likely too expensive to be of value.

Monday, February 27, 2012

Revisting The Equity Side of Ugly Bond Math

A few weeks back I outlined the Ugly Bond Math that an aggregate bond index with a 2% yield to maturity means for investors:

It means that investors should not expect more than 2% annualized from your bond allocation over the next five years, UNLESS you are willing to reach for yield via lower quality credit, non-US exposure, or increased duration.
And what it means for an investor with an 8% overall expected return and a 60% equity / 40% bond mix.
It also means that if you have a 60% equity / 40% bond allocation, to reach an 8% all-in annualized return your equity allocation needs to return roughly 12% / year over the next 5 years.
Below we'll analyze if that 12% figure seems reasonable based on history and current valuations... it doesn't.

The first chart takes the yield to maturity of the aggregate bond index (shown in that previous post here) and backs into the required return on equities over the next five years to get an 8% all-in portfolio return. The current 12% figure is VERY high by recent historical standards.


The next chart details where equity valuations currently stand based on earnings yield. The historical earnings yield of the S&P 500 (data pulled from Irrational Exuberance) is simply the inverse of the price / earnings ratio (a price / earnings ratio of 20 equals an earnings yield of 1/20 = 5%). The cyclically adjusted figure takes a 10 year average of earnings to smooth extended earnings during cyclical peaks (and depressed earnings during troughs). By this measure, things are much improved relative to the rich levels seen early last decade, but nowhere near the 12% figure. Past analysis showing the relationship between earnings yield and forward returns can be found here.


The final chart outlines the difference between the earnings yield and equity returns required to reach the 8% return (i.e. the difference between the top two charts). It also shows how much growth is required for current earnings to get to that 12% return. By this measure earnings are 5.14% short and 7.33% short cyclically adjusted on an annualized basis. Possible? Yes, but it means an investor needs either earnings, the P/E ratio, or a combination of the two to increase by those levels each of the next five years (and remember that earnings are already near 3+ standard deviation relative to national income).


This means an investor likely needs to look outside a traditional stock / bond allocation to reach their investment goal... better yet, if possible, revisit the 8% target outright.

Note: for simplicity, the above analysis excluded the potential for accruing a rebalancing premium should equities and bonds continue to be negatively correlated. It also excludes fees associated with allocating to either asset class. I'll call that a wash for the average investor....

Source: Barclays / Irrational Exuberance

Tuesday, February 7, 2012

Equity Valuation Based on GDP Growth 2.0

This is based on my post Equity Valuation Based on GDP Growth with a slight twist.


As I've outlined previously, over the long run equity valuation and earnings both grow at roughly the pace as nominal GDP. If earnings (for example) grew faster, then earnings would eventually become larger than the entire economy, which is not possible.

With that in mind, here goes...

The below chart shows:

This is an attempt to compare historical S&P 500 valuation (relative to the size of the US economy), relative to the current valuation level. For example... if the S&P 500 (blue) is below the nominal GDP line (yellow), then the S&P 500 was cheaper then (on this relative measure) than it is now. It also means when the lines cross, valuation levels were equal to today.

The relevance: The chart below shows the relative valuation for each year from 1929 through 2001 (in December 2011 terms), then shows the subsequent 10 year forward change in the S&P 500 (note this does not include dividends).


This chart shows that if this valuation metric can forecast the future (I am not saying it will, but it seems useful), then equity markets may be a decent buy here. At relative value zero (i.e. today's measure) the trend-line goes through 0% on the x-axis at roughly 7.5% annualized (before dividends).

Monday, January 16, 2012

S&P 500 / VIX Matrix

As a follow up to last week's VIX as a Predictor of Equity Returns and Model Building / Data Mining posts, I put together the following two 'VIX Matrix' tables. These tables show the:
  • One month forward return of the S&P 500
  • One month change in the VIX index
against a number of scenarios involving the one month month change in the VIX and the absolute value of the VIX since its 1990 inception.
  • S&P 500: Less than -1.0% = Red, -1.0% to 1.0% = Yellow, Greater than 1.0% = Green
  • VIX: Less than -2.5% = Red, -2.5% to 2.5% = Yellow, Greater than 2.5% = Green
Lots of interesting information in these tables that I won't bother summarizing (look at it yourself), except to say that even in these turbulent times (bull market 90's, roller coaster 00's), markets were (on average) very mean reverting.

Note that there are plenty of limitations to these tables, most of which involve the limited data points for a number of the cells.


One-Month Forward S&P 500 Performance




One-Month Forward VIX Change



Update: much more on the above from my friend Bill over at Vix and More blog.

Thursday, November 17, 2011

Bill Miller Stepping Down as CIO

Update: the Yahoo Finance data for LMVTX that I had used appears to be wrong (no clue why and quite frankly concerning). The chart has been replaced by one from Morningstar.


Following the Legg Mason announcement that Bill Miller will step down as CIO after a 30 year run with the firm, Abnormal Returns details the difficulty of providing consistent above average equity returns:
Bill Miller co-manager of Legg Mason Capital Management Value Equity announced he was stepping down as CIO of LMCM effective April 2012. Like Woods Miller had a fifteen year period where he was seemingly unstoppable. His fund topped the performance of the S&P 500 every year over this time period.
Bill Miller has managed the Legg Mason Capital Management Value Equity fund (LMVTX) since 1982 and results of that data (relative to the S&P 500) is shown below. The data now shows the average performance pre-1991, the remarkable performance from 1991-2006, and the underperformance since due to the misplaced bets on financials.


Back to Abnormal Returns on the potential danger of allocating to outperforming managers:
In investing a fall from grace is a common occurrence. In 2011 we have seen both John Paulson who conducted the “The Greatest Trade Ever” and Bruce Berkowitz, Morningstar’s manager of the decade both stumble badly.
Source: Morningstar

Monday, October 17, 2011

Industrial Production "Inflection" to Lead Equities Higher?

The WSJ reports:

U.S. industrial production grew in September but the gain was small, underscoring the economy's lack of vigor.

Production rose by 0.2%, with a modest gain in manufacturing and a sharp drop in utilities caused by moderating weather. The Federal Reserve report on Monday showed overall production was flat in August, revised down from a previously estimated 0.2% increase.
Manufacturers in the U.S. have been feeling the weight of a lackluster economy, hamstrung by high unemployment. While it is still growing, the factory sector has, with the overall economy, slowed.
While the rebound in industrial production may be lacking the ideal punch, the index (which tends to have a positive relationship with the S&P 500) did turn positive this month on a three year rolling basis.


More interesting (to me) industrial production appears to have led the S&P 500 higher when rolling three year industrial production turned positive (i.e. the "inflection" point). The below chart strips out the S&P 500 rolling returns and replaces it with the three year forward (annualized) performance of the S&P 500 following the inflection point.



Tuesday, October 11, 2011

It's All About Financials

The chart below compares the absolute return of an investment in the S&P 500 vs. the excess return of an investment in the investment grade financial bond index (as compared to Treasuries) over rolling three-month periods going back 10 years. Note that pre-financial crisis there was a small relationship (even less so the prior decade) with the return streams below showing an r-square from 1988-June 2007 of less than 0.20. Since that time, an investment in the S&P 500 and financial bonds have been remarkably similar in terms of performance with an r-square of 0.56.



Source: Barclays Capital / S&P

Monday, October 10, 2011

Emerging Market Rotation Strategy

Along with taking a deeper look at macro trends / releases to try to figure out this whole economy thing (in these all-too-interesting times), I spend quite a bit of my time creating (long-term oriented) trading models. The goal? To better allocate my investments by taking away some of my emotion.


The following model I will walk through is a simple model (available for download here) based on my friend Meb Faber's (of World Beta blog and Cambria Investment Management) Timing Model.

What is it...

It is an Emerging Market "EM" timing model that allocates between two EM sectors... fixed income and equities. As a way of background, since 1999 (I could only pull data for both indices as of December 1998 - due to the methodology below, the start of the model is 10 months later), both EM fixed income and equities have had very similar returns, but have had VERY different ways of getting there (see chart below). At a high level, EM equity tends to outperform when both are trending higher, but EM fixed income outperforms when EM beta struggles.

With that in mind... what is the model? On an end-of-month basis:
  • If EM Equity Total Return index > 10-Month moving average, allocate to EM Equities
  • If EM Equity Total Return index < 10-Month moving average, allocate to EM Fixed Income

The result? Over this time frame, the rotation strategy has significantly outperformed both EM fixed income and equities with volatility and drawdown levels right between the two (note that a 50/50 blend had returns of around 10.7% with slightly less volatility than the rotation strategy).

If anyone can pull data for EM indices going back further in time, please send my way as I'd like to see how this performs over the longer term.

Source: MSCI, JP Morgan, World Beta
Model: Download here

Sunday, August 28, 2011

The Predictive Power of "Stocks as Bonds"

My recent post Corporate Profits, Economic Growth, and Equity Valuation outlined that equity performance can be quite volatile, but over the long-run tends to mean revert back to its underlying factor... economic growth.


Which brings me to a model created by the great Eddy Elfenbein (of Crossing Wall Street), which I initially came across in his post What if the Stock Market Were a Bond, back in October 2010. Eddy's explanation of that concept:
I took all of the historical market performance of the S&P 500 (including dividends) and invented a hypothetical long-term bond that matched the market’s monthly gains step-for-step.

I assumed that it’s a bond of infinite maturity and pays a fixed coupon each month.
The result, which starts December 1925, is the following (reproduced) chart.

Crossing Wall Street Model for Stocks (12/1925 - 8/2011)


While I expected a strong relationship between the above chart with forward equity returns (the model is driven by equity performance, but accounts for the market being rich / cheap to its long-term trend and normalizes returns using backward and forward looking performance), I was surprised by how closely it tied (data was pulled from Irrational Exuberance).

Crossing Wall Street Model vs Ten Year Forward Equity Returns


Same Chart, but a Change in Scale to the Right Hand Side


The likely question is how well this model will predict the future as it shows a 12%+ annualized ten year forward return. My initial thought is don't read too much into the model for predictive power UNLESS the underlying factors that drove the last 85 years of equity performance are expected to continue (and at the same level). In addition, Eddy lays out one more issue:
There’s one hitch, though. I have to choose a starting yield-to-maturity for the beginning of the data series in December 1925. So this isn’t a completely kosher experiment because the starting point is based on my guess.
This issue can be seen in the below model which goes back further... all the way to 1871. Rather than predict a forward ten year equity return of more than 12+%, the model predicts returns of less than 5% (due to lower equity returns between 1871 and 1925).


Friday, August 26, 2011

Corporate Profits, Economic Growth, and Equity Valuation

Scott Grannis asks:

Corporate profits are fantastic—what's wrong with equity prices?
As I've discussed numerous times (an example is Equity Valuation Matters), over the long run, earnings matter for equities and those earnings are very closely tied to underlying economic activity. However, over the short-run, earnings (and equity prices) may dislocate from the underlying economy due to a number of factors. In the current market where earnings have dislocated in a positive direction, some reasons may include cost cutting, accounting that allows banks to smooth write downs, low taxes, cheap financing, and a lack of competition for corporations (i.e. the struggles we've seen within the small business sector).

This is another way of saying that all earnings are not created equal. If earnings could in fact consistently grow faster than the underlying economy, then earnings would eventually be larger than the economy itself (a mathematical impossibility). A warning sign is that in the most recent data, as shown in Scott's chart, corporate earnings as a percent of GDP are above 10%, 4% above its 50+ year average.

While this 10% level is unprecedented over the past 50+ years, dispersion between earnings and/or equity performance and nominal economic growth is not. However, in the long-run (sometimes a very long-run), the relationship tends to be very tight. The chart below shows this connection in a chart normalizing data going back to 1951 (the BEA has data going back three more years to 1948, but the relationship is the same).


As for equities being cheap, I actually happen to believe there is in fact a lot of value out there, but I personally wouldn't call the broader market cheap with all the tough issues that need to be addressed. In addition (ignoring whether earnings are / are not sustainable), it matters when you start looking. As Scott outlined, over the last 10 or 20 years, earnings have grown faster than equity valuations. However, over the last 60 years (i.e. the chart above), equities are actually outperforming (i.e. P/E's have expanded).

Thursday, August 18, 2011

How Reliable are Yields?

In my previous post Is the Earnings Yield Divergence Unprecedented? we saw that the current differential in the earnings yield of the S&P 500 relative to the yield of the 10 year Treasury is large, but not unprecedented. This post will hopefully provide a bit more insight into the relationship of yield to both fixed income and equity returns.

First, let's start with bonds...

Bonds

The beauty of a traditional bond is that yield wins in the long run... while performance may fluctuate year to year, if you buy a bond and get the credit work right (i.e. it doesn't default), you get a nominal annualized return roughly equal to the yield over a period that matches the duration of the bond (this is the main reason I called out those claiming bonds were in a bubble around this time last year... don't hear much from those guys these days).

The chart below details this feature using bond data from Shiller going back 140 years. To be specific, it shows the Treasury yield at each point in time, then the forward return on an investment in a bond index eight years forward (close to the average duration of a ten year Treasury). While the below does show some noise due to a fluctuating durations (when yields are low, duration is higher) and reinvestment risk, the correlation is 0.92 over that 140 year period (i.e. strong to quite strong). In other words, do not expect to earn more than 2% annualized from an investment in a ten year Treasury bond.


Equities

Equities are a much more difficult beast. There have been countless studies on whether equities actually have duration (one such study showed that equities have a duration of more than 20 years with a standard deviation of 30 years). For this post I ran the 140 years of equity data through an analysis to determine which duration provided the highest correlation between earnings yield and annualized return.

As the following chart details, the winner is.... 10 years.


While ten years was best, eight years was close (and the duration used above for fixed income). Another thought was that if we are to compare earnings yield to the yield of a Treasury bond for relative value, we need an apples to apples comparison... so the chart below uses eight years.

And what do we find... a chart with a pretty strong (~0.45 correlation) relationship. The difference of course lies in the fact that an investor in equities is guaranteed nothing (earnings can fall) and is at risk to multiple (i.e. P/E) contraction, but also shares in the "upside" (i.e. earnings growth) and potential for multiple expansion.



So.... is there a value in comparing the relative attractiveness of equities to fixed income? Sure. I would say the likelihood of equities outperforming Treasuries over the next eight years is high. But don't confuse relative attractiveness and attractive. Ten year Treasuries are currently yielding just 2%, so the 4% "excess" yield of the S&P translates to only 6% on a non-cyclically adjusted basis (using cyclically adjusted earnings it's less than 5%). As the chart above indicates, there have been plenty of occasions where equity performance has significantly under performed its yield, even over extended periods.

Friday, August 12, 2011

Is The Earnings-Yield Divergence Unprecedented?

I'm a big fan of Felix Salmon (you will notice he is on my blogroll), but he dropped the ball in this post outlining the "unprecedented" divergence between the earnings yield of the S&P 500 and the ten year Treasury.:
After I wrote my post on Monday about the huge divergence in yields between stocks and bonds, I wondered just how historically unprecedented this divergence was. And now, with the help of this fabulous chart (many thanks to Nick Rizzo, Dan Burns, and Stephen Culp), it’s pretty easy to see: we’re at levels which match those at the height of the financial crisis, and which are otherwise historically utterly unprecedented.
Indeed, from 1985 through about 2002, it was just as common for the S&P earnings yield to be lower than the Treasury yield as it was for the yields to be the other way around. The two tracked each other, and the spread between them almost never moved beyond 2 percentage points either way.
Unprecedented? No...

As I outlined in a post a bit more than a year ago, the relationship between earnings yield and Treasuries is a new phenomenon (on a relative basis). If you looked past 1985 (i.e. the time in Felix' research), you would see a strong relationship going back just another 15 years or so. Before that... nothing for another 100 years.



I have no issue with an investor using this indicator to prove there is value in equities. BUT, they must believe something drastically changed around 1970 and that change remains. Otherwise, "history" indicates the strong relationship over the last 40 years may be what was unprecedented.

Friday, July 22, 2011

Breaking Down the GLD / SPY Model

I've been researching and analyzing a number of rotation / momentum strategies of late (details potentially to follow), which is one reason why I was so interested in the recent GLD / SPY Rotation Strategy posted by Michael Gayed over at The Big Picture. In a nutshell the strategy attempts to follow rolling monthly momentum to allocate between gold and the S&P 500. He concludes:

Of course, past performance is not indicative of future results, but the simple binary decision of being either long SPY or long GLD depending on which is outperforming the others does seem to suggest alpha can be generated.
While I am not nearly as willing to suggest the framework works (and if it does, it doesn't necessarily work in the manner described), I did think the framework was interesting enough to take a deeper dive.

First of all, let's outline the strategy:
  • Using end of day values for Gold (ETF GLD) and the S&P 500 (ETF SPY), create a price ratio by dividing GLD by SPY
  • If the ratio is greater than the 20 day moving average of the ratio, then allocate to gold; otherwise to the S&P 500
I was able to closely match the results:


What I Like

Before I dive into the issues I have with the analysis, here is what I like...

I like that while the strategy was only allocated to gold about 50% of the days, it still tracked the performance of gold with a correlation of .70 on a monthly basis. That is pretty staggering. Why do I like that? Because it opens up the possibility that it closely tracks gold when gold outperforms and may track equities when equities outperform.


Issues

That said, here are my main issues with the model:
  • The data set is very limited
  • The data is from a period in which gold significantly outperformed equities
If you were to have asked me prior to seeing the analysis if I was interested in a model that involved gold and equities that outperformed equities over the past 6 1/2 years, my response would have been a very easy no. Unless the model shorted gold, it would have been just about impossible NOT to outperform equities over that time frame (gold is one of the top performing asset classes since 2004; equities one of the worst).

As a result, I would have been much more interested in hearing about a model that outperformed gold over this time, rather than consistently underperform over its history (20.7% annualized returns vs. 17.9% annualized returns), without much of a reduction in volatility (21.1% vs. 20.3%).


Deeper Dive

Keeping those limitations in mind, lets dive into the idea that gold is a good momentum strategy. The below chart summarizes the performance of the model based on different periods of exhibited "strength" in the model as defined by the level that the GLD / SPY index was above its 20 day moving average and the corresponding one day forward average return in the price of gold and the S&P 500.


An interesting observation is that the only level that gold did not outperform was when the GLD / SPY index was greater than 10% above the 20 day moving average (note that this was less than 2% of all trading days) and GLD / SPY outperformed most when the GLD / SPY index was more than 10% below the 20 day moving average. This:
  1. Indicates the GLD / SPY index outperformed the S&P 500 because gold in most instances outperformed the S&P 500
  2. The model actually shows gold and S&P 500 exhibit mean reversion at extreme levels

Update:

I was able to find Gold prices going back to 1992 (the inception of the SPY) over at USA Gold and recreated the model using Gold rather than GLD. The results don't seem too promising prior to the beginning of the gold rally that started in 2001.


Friday, July 1, 2011

Equity Valuation Based on GDP Growth

An update (with a small addition) of a post from May 2010


Step 1) Take the S&P 500 Index (lots of data here) and divide that level by the current level of nominal GDP (you can find that here).

Below is a chart of just that going back to 1951 and the corresponding 60 year average.



Step 2)

Fair Value Methodology: Take that 60 year average (8.25%) to normalize the first year of your 'Fair Value S&P 500' "FV" Index by taking nominal GDP at the starting date (in this case June 1951 = $336.6 billion) and multiplying by the percent (x 8.25% = 27.77). In this case 27.77 = the FV Index level (or the starting value normalized).

Matched Starting Value Methodology: Simply start the index at the value of the S&P 500 as of June 1951 = 21.55.

Step 3) Using that 27.77 (or calculated value using a different time frame) as the FV Index starting value or 21.55 as the matched starting value, at each interval increase the index by the change in nominal GDP (note... in the chart below, I estimated the Q2 GDP at 2.0% annualized). Why nominal GDP? Go here.

The below chart shows these calculated indices vs the actual S&P 500 index.



Step 4)
Calculate the percent the S&P 500 Index is over or under valued relative to each calculated index.



Relationship (returns are annualized)....



Note 1: under these methodologies, the S&P 500 is currently at or above fair value, still implying a decent ten year forward change in the S&P 500 plus dividends minus inflation.
Note 2: a change in the starting value of the FV Index would simply shift the x-axis to the right or left (i.e. it would not change the relationship between the two)

Source: Irrational Exuberance

Tuesday, February 22, 2011

Growing Secular Volatility?

The Big Picture notes that today's S&P 500 performance (-2.05%) was the worst in 6 months.



More interesting is the frequency of -2% days over the past 60 years. The chart below shows the number -2% days over 100 trading day periods over that time. As can be seen, while we had a "great moderation" from October 2003 through February 2007 (a whopping 850 trading days without a 2% down day), the frequency seems to be growing steadily since the early 1970's when there are periods of market duress.



Source: Yahoo Finance

Tuesday, January 25, 2011

Dividend vs. Buyback Yield... The Importance of Timing

Professor Damodaran (via World Beta and Abnormal Returns):

S&P's most recent update indicates that US companies, after a pause for about a year after the banking crisis, are back in the buyback game. In the third quarter of 2010, the S&P 500 companies bought back almost $ 80 billion of stock, up 128% from the third quarter of 2009.
The below chart shows the dividend yield (dividends divided by the S&P 500's market cap) and buyback yield (buybacks divided by the S&P 500's market cap) on a quarterly basis (annualized) going back to 2004.



While getting cash back to shareholders is the whole point of investing in stocks (timing of returning that cash is potentially a broader question), the higher buyback yield is not necessarily a great thing; it is a great thing if the cash is buying back stock when cheap... not when expensive. And when were corporations buying back the most? Q2 and Q3 2007 (i.e. the market peak). The lowest? Q1 and Q2 2009 (i.e. the market trough).

Professor Damodaran does provide some rationale / discussion into why the trend has moved to buyback vs. dividend:
  • Manager compensation: buybacks increase the price of stock for manager option grants
  • Uncertainty about earnings: buybacks are a lot more flexible than a steady dividend
  • Changing investor profiles: investors that are more focused on stock price
  • Higher earnings per share: less shares outstanding = more earnings per share (tested here)
Source: S&P

Thursday, January 20, 2011

The Equity Market is in Trouble... J-E-T-S Edition

Floyd Norris (via The Big Picture):

Consider the performance of the Standard & Poor’s 500 in 1969, the year the Jets won their only Super Bowl. It was down 11.4 percent.

Contrast that to the market’s performance after victories by any of the other teams still in contention. The market has never gone down after any of them won the Super Bowl.



Since:

A) The market has "always" gone down when the Jets win
B) The Jets will win (warning: the last time I was this confident they lost by more than 40)
C) The market will go down

Or something like that...

Wednesday, January 12, 2011

The iPhone was a Huge Success...

The iPhone is coming to Verizon! The iPhone is coming to Verizon! iPhone users sick of AT&T (i.e. me) have rejoiced. Should stock holders rejoice as well?

Lets rewind and see just how much AT&T has outperformed since that launch. To Wikipedia:

The first iPhone was introduced on January 9, 2007.
Since that time (including dividends)...



The iPhone was a HUGE success. Just not necessarily for AT&T.

Source: Yahoo Finance