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Showing posts with label models. Show all posts
Showing posts with label models. Show all posts

Wednesday, January 16, 2019

Odds of beating the market over many years, a (very) naive model


Suppose you knew, or estimated, the probability of beating the market over a year. What then is the probability of beating the market over many years?

Enter the parameters below, then click "Calculate!" to calculate the probability of a portfolio beating the market the stated number of years (or, for bonus points -- the stated number of years, or more).


Assumptions:




Notes:
  • This calculation is based on a fairly simple model, the binomial model.
  • Answers and bonus answers are rounded. Keep this in mind.
  • KEYBOARD INTERFACE SHORTCUTS (WINDOWS): Use the TAB, SHIFT+TAB, and ENTER keys to navigate the interface. TAB moves you forward from the first box to the second box and so on. SHIFT+TAB (that is, pressing the SHIFT key and TAB key simultaneously) moves you backward. Pressing the ENTER key while the focus is on the Calculate! button calculates the estimated return.
  • A bit technical: JavaScript must be enabled for the above calculation to work.
The figure below shows the probability of beating the market from 0 to 12 years, when the probability of beating it each year is 20 percent. As you can see, the odds of beating the market 7, 8, 9, ... years out of the 12 approach amoeba-like small.



Let's add some sugar to this cup of tea. Let's increase the probability of success. The figure below shows the probability of beating the market from 0 to 12 years, when the probability of beating it each year is now 45 percent. The odds of beating the market now improve dramatically, but are still just 1 out of 1000 to beat the market 11 years out of 12, for instance.



In case you are wondering (and who isn't?), the maximum in these graphs is given by (roughly) the product of 12 times the probability. So, the maximum in the first graph is 2.4 (12 * 0.2, 2.4, rounded to 2) and the maximum in the second graph is 5.4 (12 * 0.45, 5.4, rounded to 5). You will see that the graphs nod approvingly.

Wednesday, January 9, 2019

We win again. Dividend Growth Stocks from "Investing in Dividend Growth Stocks" beat the market again in 2018.

2018 was a bad year for most U.S. stocks. The stock market, as measured by the S&P 500, returned -4.38 percent for the year. The typical fund did much worse. According to the January 7, 2019 edition of the Wall Street Journal, "the average manager overseeing a diversified U.S.-stock fund saw a total return of minus 7.73% in 2018..."

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As they are wont to do, dividend growth stocks fared better. VIG, Vanguard's Dividend Appreciation ETF, returned -2.1 percent in 2018.

The portfolio of dividend growth stocks from my book, Investing in Dividend Growth Stocks, typically beats both the Dividend Growth Index and the market. 2018 was no different. In 2018, the portfolio from the print edition of the book returned -1.39 percent, again besting both the market and VIG. The figure below shows that it has beaten the market for each of the last three years.


The longer-term pattern is just as dominant. As the figure below shows, the portfolio from the print edition of the book has beaten the Dividend Growth Index every (full) year since the index's inception in April, 2006. Likewise, the book's portfolio has beaten the market every year over this period except for slightly underperforming in 2014.






So the book portfolio has beaten the Dividend Growth Index for 12 straight years and has beaten the market 11 of the last 12 years, marginally trailing in the one year that it did not (2014). I would venture to guess no more than a handful -- literally -- of professional funds can stake such a claim -- the odds are very low. I remember, years ago, what a big deal magazines and websites were making of a fund manager that had beaten the market 10 then 15 years in a row. This kind of thing is not common, at all.

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The reason for our long-term consistent outperformance is quite simple: These are good companies that typically do not get outrageously valued. There are ample subtleties in this simple statement, of course, and that is the rub.

The trick is to have a sound dividend growth strategy, a sound dividend growth model! For instance, many investors in the naughts thought banking stocks were all the rage because they kept consistently raising their dividends -- they completely ignored the high and rising leverage inherent in these companies, as one self-evident and obvious mistake. As one of many examples, Lehman was raising its dividend at a 25 percent a year clip for several years. Meanwhile, and comically ignored by many, its leverage kept rising as well. We all know what happened to Lehman and many other banking stocks -- Lehman went kaput and many banking stocks are still in the doghouse -- with no real dividends to speak of. Likewise, many investors choose utilities as dividend growth stocks. That too is incorrect. You need growth. These fellows don't have it. Dividend and dividend growth investors ignore share buybacks. You simply cannot do that as well. And on and on it goes. These are logical mistakes that damage your returns.

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Any old dividend growth "strategy" will not work. Most of what you read, even in published and putatively well-regarded books, is incorrect. The underlying theory must be logically sound. At the very least, it must be consistent and complete. Where's the Beef?

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Notes:

The S&P 500 returned -4.38 percent in 2018. Many websites and publications quote a different value, very often, -6.2 percent. That value is incorrect. http://www.neocadence.com/2019/01/land-of-confusion-what-did-market.html

Performance page for VIG, the Vanguard Dividend Appreciation ETF, https://investor.vanguard.com/etf/profile/performance/vig

Bill Miller was the mutual fund manager who beat the market for 15 years in a row. He was a star for many years -- though he took big risks to generate these returns, risks that were unappreciated by many writers -- and he did struggle for a while later on. An old book about him, The Man Who Beats the S&P, https://www.amazon.com/Man-Who-Beats-Investing-Miller/dp/0471054909

A 2008 article on Bill Miller's subsequent troubles, also highlighting the riskiness of his strategy, https://www.wsj.com/articles/SB122886123425292617


Thursday, October 11, 2018

Valuing a Dividend Growth Stock with the Magic Formula (Dividend Growth Whisperer)

Enter the parameters below, then click "Calculate!" to calculate the estimated return for a dividend growth stock with those parameters.


Assumptions:



Notes:
  • This calculation is based on the magic formula detailed in my recently published book, Dividend Growth Whisperer. The magic formula, with a couple of heuristics, provides a complete, reasonable valuation methodology to value dividend growth stocks (and really all stable stocks, as well).
  • KEYBOARD INTERFACE SHORTCUTS (WINDOWS): Use the TAB, SHIFT+TAB, and ENTER keys to navigate the interface. TAB moves you forward from the first box to the second box and so on. SHIFT+TAB (that is, pressing the SHIFT key and TAB key simultaneously) moves you backward. Pressing the ENTER key while the focus is on the Calculate! button calculates the estimated return.
  • Payout ratio is not the dividend payout ratio. Instead, it includes dividends, (net) share buybacks (that is, cash spent on share buybacks minus cash collected from shares issued), and any cash that the company can return to shareholders but for whatever reason does not, allowing for the company to retain some for adverse times. Obviously, this is estimated and requires a good understanding of the company's business.
  • (Average) earnings growth rate is the average earnings growth rate (not the average earnings per share growth rate!) over the next 30 years, the earnings pattern similar to the pattern of earnings stipulated in the model in my book, Investing in Dividend Growth Stocks. Per the book, implicitly, therefore, I assume any stated average earnings growth rate incorporates earnings growth rates of R percent a year for 10 years, S percent a year for the next 10 years, and T percent a year for the last 10 years (of the 30), where R >= S >= T. Earnings growth after 30 years is assumed to be 3 percent a year, continuing for 170 years (!), essentially, then, until the present value of the values at those later years hits, effectively, zero.
  • Earnings growth rate is roughly earnings per share growth rate minus the net share buyback rate. So if a company has an earnings per share growth rate of 8 percent a year and buys back its shares, net, at 2 percent a year, its earnings growth rate is 6 percent a year.
  • Moderate growth here signifies the moderate earnings per share growth typical of dividend growth stocks as defined in my books, so 8-12 percent a year for large-caps and 8-16 percent a year for midcaps. Here, somewhat arbitrarily, the valid ranges are set from 3 percent to 16 percent.
  • Current P/E ratio, ideally, reflects average earnings 6 months in the past and 6 months in the future. Roughly, it is the current price divided by the sum of eps for the last 2 quarters and the next 2 quarters.

Wednesday, January 27, 2016

Valuing Chipotle

Ticker: CMG

Sector: Consumer Discretionary

Size: Large-cap

Website: http://www.chipotle.com


A "messy" recent history: In the last few months, Chipotle has had a bad case of burrito indigestion (chipotle.com). Five incidents of outbreaks have been reported (WSJ):

"Since July, there have been a total of five outbreaks linked to Chipotle, including a little-reported case of E. coli that sickened five people in Seattle and which was a different strain unrelated to the larger outbreak that began in October, as well as a norovirus case in Southern California, a salmonella outbreak in Minnesota and the Boston [norovirus] outbreak."

From a close of $720 in September 2015, the stock closed at $448 yesterday, a fall of 38 percent. Its stock chart is a mess -- though the downward momentum of the fourth quarter of 2015 seems to have abated:





Not surprisingly, analysts have ratcheted down their earnings per share estimates sharply. For the fourth quarter of 2015, estimates have fallen 57 percent from $4.37, ninety days ago, to $1.86 today. For 2016, estimates have fallen 37 percent from $20.46, ninety days ago, to $12.86 today (Yahoo! Finance).

In terms of earnings per share, roughly, 2016 represents a setback of 2.5 years.


General Analysis: Chipotle is a high-growth stock, a class of stocks notoriously difficult to value because high growth tends to be unstable. With Chipotle, however, growth is stable, making it easy to value. In this post, I follow the guidelines and format in Twenty dividend growth stocks to consider in Investing in Dividend Growth Stocks (pages 219 - 272) (Amazon). Chipotle is not a dividend growth stock -- it does not pay a dividend -- but its underlying business stability makes it, with one tweak for two scenarios, similar to value. I use Chipotle's results from 2010 through 2014 to unearth the underlying characteristics of the business. Incorporating a messy 2015 would distort the analysis.


The Business: Chipotle sells burritos, tacos, burrito bowls, and salads -- "a few things, thousands of ways" -- at its more than 1,900 fast casual restaurants, primarily in the U.S. The company also operates a much smaller chain of 11 Southeast Asian Kitchen restaurants and invests in an entity that operates 3 Pizzeria Locale restaurants. The company's by-line is "food with integrity." Its grander aim is to change "the way people think about and eat fast food."


Risks: After the outbreaks, will consumers return? According to the company, same restaurant sales fell about 15 percent in the fourth quarter of 2015 (Bloomberg). Nevertheless, I believe consumers will eventually return. With good, honest companies, the underlying business eventually recovers. In the 1980s, Johnson & Johnson had the Tylenol scare. They fixed it. Consumers returned. A few years ago, Johnson & Johnson had problems with manufacturing. They fixed it. Consumers returned. Where there is value -- and integrity -- in the brand, as with Johnson & Johnson and Chipotle; and problems are addressed, as Johnson & Johnson did and Chipotle is doing (chipotle.com), consumers do eventually return.

Of the other risks, commodity costs are one. Consumers do visit restaurants less often during recessions -- though Chipotle's relatively inexpensive food may mean it may not see the dramatic declines symptomatic of higher-priced restaurants.

Few other risks, longer term, meaning, in the next 10 or so years.


The Numbers: Profit margins have averaged ten percent the last five years. Asset turnover is 1.6. Chipotle does not have long-term debt -- in the traditional sense. It does, however, disclose deferred rent obligations. Financial leverage is low, 1.3. Return on equity is 22 percent. Likewise, return on equity has averaged 22 percent the last five years. Moreover, because the company has excess cash and investments on its balance sheet, its "true" return on equity is higher.


Dividends and Share Buybacks: The company does not pay a dividend. The company does buy back shares, mostly, it seems, to offset dilution. Over the last five years, the company has retired its shares at a modest 0.4 percent per year clip. (Comparatively, dividend growth stocks typically retire their shares at a much higher rate, but Chipotle is a high-growth stock. In fact, that it even retires its shares is somewhat of a bonus.)


Spreadsheet Parameters: (I use the spreadsheet described in Investing in Dividend Growth Stocks (Amazon) -- with a slight tweak to adjust for the possibility of a robust recovery in earnings per share -- to value the stock. See pages 158 - 176.) Actual dividend payout ratio of 0 percent; assumed payout ratio of 35 percent. Return on beginning equity: 30 percent. It is currently 29 percent. It has averaged 27 percent the last five years. In fact, because the company has excess cash and investments on its balance sheet, its "true" return on beginning equity is higher -- I am likely conservative with my 30 percent. Earnings growth has averaged an impressive 29 percent the last five years. Few large companies can sustain such high growth rates over long periods and, in that sense, Chipotle is one of the rare ones. Dividend growth: n/a. Earnings per share growth roughly mirrors earnings growth because share buybacks are muted. Chipotle operates more than 1,900 restaurants. The company opens more than 200 net new restaurants a year. It is not unreasonable to assume they can maintain this pace for at least the next several years. I do not believe the market is near saturation. For instance, McDonald's is virtually everywhere in the U.S. -- and McDonald's has 14,300 U.S. restaurants (though they do intend to close a handful this year (New York Times)). Moreover, Chipotle will almost certainly expand outside the U.S. more aggressively at some point and the company is testing a few new restaurant ideas. Reasonable growth rates for our spreadsheet, if sales were to resume their historical growth rates: (Years 1-5: 26 percent) (Years 6-10: 22 percent) (Years 11-20: 16 percent) (Years 21-30: 10 percent) (Years 31+: 3 percent).


Sample Spreadsheet Results: Because earnings per share can vary dramatically the next several quarters, I use four potential scenarios to gauge the scope of variability:

  • (1) Reset -- current depressed earnings per share.
  • (2) Quick Reset -- higher current earnings per share.
  • (3) Reset ++ -- current depressed earnings per share, then full recovery next year.
  • (4) Quick Reset ++ -- higher current earnings per share, then full recovery next year.

Explicitly, I use the following values:

Scenario Stock Price EPS - current P/E ratio - current EPS - next
(1) 450 11 41 13.86
(2) 450 15 30 18.90
(3) 450 11 41 22.55
(4) 450 15 30 22.55

These earnings per share are for periods centered on January 1 -- thus the last 6 months of 2015 plus the first 6 months of 2016 for the current period, for example.

Of course, even within these patterns, we have many other possibilities -- but at least they help establish a range. Using a current stock price of $450, and the spreadsheet described in Investing in Dividend Growth Stocks (Amazon), I get the following results:

Scenario Expected Return
(1) 12.33%
(2) 13.85%
(3) 14.80%
(4) 14.79%

Screenshots from the spreadsheet for scenario (3), also showing the slight tweak in red (also needed in scenario (4)) I made in the Projections section:








These are long-term returns. All are outstanding -- because growth remains deliciously high. If Chipotle produces these gains, investors will be well ahead of the market. That said, none of these results make any sense if growth permanently collapses (YouTube) but I do not believe this happens.

In addition, risk is not low under any of our scenarios -- as the relatively high P/E ratios attest.

As a comparison, if we were to live in a parallel universe (YouTube), with the recent company-specific indigestion nonexistent and Chipotle humming along, at a stock price of (say) $600 (to account for the recent market decline -- the market still declines in the parallel universe) and earnings per share of $19, all other assumptions the same as above, the expected return is 13.59 percent a year -- and, yes, with a P/E ratio of 32, the stock is still not low risk. Blame those high P/E ratios -- even in the parallel universe.


Disclosure: I own a tiny position in Chipotle, entirely for fun. I always order a carnitas burrito. It rocks. Do not interpret this post as a recommendation to buy or sell or trade or whatever, including buying a Chipotle burrito. Always do -- and depend -- on your due diligence.

Thursday, February 14, 2013

Of Models and Simplicity in the Stock Market

Because we cannot know much about the future, we must appeal to models invoking simplicity when investing; but don't make things so simple that they become simplistic -- and wrong.

Judging individual stocks based on their PEG ratios is one instance of simple models becoming simplistic and wrong.

Monday, January 14, 2013

Albert

Einstein

"Everything should be made as simple as possible, but not simpler." Albert Einstein

(Image courtesy of Wikipedia)

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Simple models of stocks generally lead to wrong conclusions. P/E and PEG models are simple models that often misinform.

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For instance, a cyclical stock has a low P/E just when it is most dangerously valued.

A stock with a declining business has a low P/E because investors expect nothing, not because it is a good buy.

PEGs tell you nothing about the quality of growth or the following year's growth.

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You can -- and should -- simplify; but you cannot simplify so much that your Mona Lisa begins to look like a Betty Boop.