Let’s move on now to determining the returns we should expect on our investments. In the following discussion, I make no claim whatsoever to knowing what will occur in the short run, and in the long run these estimates will undoubtedly be wrong, but should give us the midpoint of a range of returns we should expect. In particular, these exercises can be an objective yardstick when everyone seems either panicked or euphoric about the market.
Expected Returns on Bonds. Calculating the expected returns on bonds is relatively easy; it is the yield to maturity less any expected defaults. For investment grade bonds, the default risk can be mostly ignored, but for non-investment grade (aka junk bonds) the defaults can be significant.
Expected Returns on Stocks. It is a mistake, in my view, to try to achieve some target rate of return. It is far better to take an appropriate level of risk and accept the returns the market is currently offering. Wanting or needing a particular level of returns doesn’t make it available. But it is nice to know what types of returns are on offer.
When appraising a home, there are three ways to arrive at a valuation, 1) comparing the home to the sales price of other, similar, homes, 2) determining the cost to replace the home, and 3) determining what a fair price would be given what income the home could generate as a rental. These three methods also apply to stocks. Let’s take them one at a time. (The astute reader will notice that past performance is not a factor in any of this.)
Comparables. This is most useful when trying to determine if an individual stock is fairly valued. Comparing the company to its peers on a variety of metrics including the stock price relative to fundamentals such as sales, cash flow, earnings, book value, etc. can be very useful. It is less useful in trying to determine the return of the market as a whole, although since bonds compete with stocks for the investor’s dollar, comparing stocks to bonds can sometimes be useful.
Cost. The value of a company in bankruptcy is the value of the assets net of the outstanding liabilities. This serves as a lower bound on the value of the stock, because it should be worth at least the value of the stuff in the company. There may be other intangible values as well. For example, the Coca-Cola brand is of significant value as long as the company is a going concern. If there isn’t a significant “goodwill” value (like a brand) then a company should be worth what it could be built for. In other words, why pay more for an existing company than what it could be created for from scratch? There is a ratio called Tobin’s Q that measures exactly this.
Tobin’s Q is the ratio of the value of the stock market divided by corporate net worth. Using this metric is not easy since assets are carried on the balance sheet at their historical value, not the current fair market value. Further, many intangible assets are not included. Thus adjustments are needed and are difficult (indeed, there is divergence of opinion on exactly what adjustments should be made and how to do them). In theory, a “correctly” valued market will have a q ratio of one, but historically the value has been less than one most of the time. This is a puzzle since intangible assets should cause the ratio to be above one. This may indicate that assets on the corporate balance sheets are being carried at values that are too high – i.e. not enough depreciation is being taken or write offs being done. During the dot com boom, the q ratio was higher than it had ever been, portending the coming debacle.
Present value of the cash flows. In theory the value of a stock is the present value of the future cash flows you expect to get from that stock. Thus, as a starting point the expected rate of return is the dividend yield. Of course the company’s dividend may grow through time as well, so we should add to the dividend yield that growth rate. The lower the dividend the company pays out, the higher its growth should be and vice versa. If we are looking at the entire market however, we can assume to a first approximation that the capitalization of the stock market will grow proportionally with the overall economy. That is, companies in aggregate will reinvest enough to grow at the same rate as the overall economy, keeping the ratio the same. This is probably too high a growth rate for two reasons: First, management at public companies invest retained earnings suboptimally, i.e. the funds they don’t pay out are spent poorly. This is either unintentional because of overconfidence in internal projects and acquisitions or intentional in building corporate edifices. (This is an example of the “agency problem”; the manager’s desires – self-aggrandizement – don’t exactly match the owner’s desires – profits.) Second, it seems reasonable to assume that privately held companies, which are generally smaller, might grow faster than publicly held companies thus leading to GDP growing faster than the public company’s market capitalization. (IPOs plug the gap to keep the ratio the same over time.) As I write this, the dividend yield on the market is just over 2%.
The growth of the economy (GDP) can be divided into “real” growth and inflation. The real growth has been relatively stable over time at about 3%. Since it has been lower than this recently, and many commentators think slower growth is the “new normal” it might be prudent to trim that by 0.5%. Expected inflation can be determined by the spread of yields on nominal treasuries over TIPS. Currently, that spread is well under 2% at all maturities and about 1.5% for the 10-year bonds. So combining the dividend yield (2%), the expected real growth in the economy (2.5%), and expected inflation (1.5%), we arrive at an estimate of about 6%. This sounds low (and it is), but in the context of 1.5% expected inflation and 1.5% (or so) yields on nominal bonds (10-year Treasuries), we are getting a 4.5% real return and a 4.5% equity risk premium. That is certainly lower than what occurred historically, but not really a horrible return expectation.
The immediately preceding analysis used dividend yield as the starting point. There is another approach where we begin with earnings. In theory, if a company paid out 100% of its earnings it wouldn’t grow but it wouldn’t whither and die either (depreciation expense is taken out before earnings and, again in theory, would allow enough reinvestment to remain in a steady state). The company would be able to raise prices with inflation though and costs would increase with inflation. (This will vary for companies in different industries and with different capital structures and cost structures, but in aggregate it should be roughly true.) Thus our estimated rate of return on stocks is the inverse of the PE ratio of the market (the earnings yield) plus expected inflation. As I write this, the market PE is about 25, so the earnings yield is 4.0% (the inverse). Adding the previously computed inflation of around 1.5% gives us an expected return of about 5.5%. As in the previous method, this calculation is probably slightly high since earnings are far more likely to be overstated rather than understated in relation to economic reality.
There is also an issue with earnings varying over the business cycle. When times are abnormally good, assuming those are the perpetual earnings is a mistake. It is also a mistake to assume that in a recession, the current earnings are the correct ones. Irrationally, PE ratios are higher in good times and lower in bad times – they are positively correlated with profit margins. This is the opposite of what should be the case. It appears people inappropriately assume that the current state of the world will persist rather than revert to a more normal state.
Benjamin Graham, widely recognized as the father of value investing, suggested averaging earnings over a period of time rather than using the current earnings. Robert Shiller, professor of economics at Yale, maintains this data and refines the method by adjusting the earnings for inflation.
The current “Shiller PE” (also known as the PE10 because the earnings are averaged over a decade, or the CAPE for Cyclically Adjusted PE) is about 27. The inverse of this gives us 3.7% – though it should be adjusted upward slightly because it is using the average of the last 10 years and there is inflation and growth over time. Assuming 4.0% nominal growth over the past 10 years would make the current value about 4.5%. Adding inflation again, we arrive at an estimate for future returns on the market of about 6%.
Using simple metrics like these can help you avoid overreacting to transient market conditions by focusing on the long-term expected returns and make you a more successful investor. With apologies to Rudyard Kipling, here’s my investor’s version of If:
If you can keep your head when all about you
Are losing theirs and trading like crazy people;
If you can trust your valuation models when all men doubt you,
But make allowance for their models too;
If you can force your heart and nerve and sinew
To maintain your asset allocation long after they are gone,
And so hold to your prudent portfolio when there is nothing in you
Except the Will which says to them: “Hold on”
Yours is the risk adjusted return and the alpha goes along with it,
And – which is more – you’ll be a successful investor my son!