The DCFs above take an important input called the "discount rate".
This is the number that quantifies our "immediacy" vs "size" trade-off.
The HIGHER our discount rate, the MORE we value "immediacy" over "size". And thus, the more we will prefer dividends to buybacks.
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In this example, for all discount rates *above* ~5.26% per year, we'd prefer dividends.
And for discount rates *below* ~5.26%, we'd prefer buybacks.
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This means our *opportunity cost* is ~5.26% per year.
That is, if we know of *other* investment opportunities that can get us MORE than ~5.26% per year, then we'd prefer XYZ to give us dividends.
But if we're NOT aware of such opportunities, we'd prefer buybacks.
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This is a key point in the "dividends vs buybacks" debate.
Some owners (eg, those who find ~5.26%/year an easy hurdle) may rationally prefer dividends. Other owners may *equally* rationally prefer buybacks.
Different owners have different investing abilities/circumstances.
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The company's managers, in all likelihood, won't be able to please ALL owners.
So, if we're active investors, it falls to us to develop self-awareness and find companies whose policies suit us well.
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Also, the *price* at which a company can buy back its shares is crucial.
The HIGHER the price the company has to pay, the fewer the number of shares that will be retired, the smaller our "opportunity cost" hurdle, and the MORE likely we are to prefer DIVIDENDS.
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Many managers view dividends as "obligations".
If they give owners a $10/share dividend this year, they'll have to do the same next year. Otherwise, the market could "punish" the stock.
So, managers are reluctant to raise dividends too quickly, even if they have the FCF.
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By contrast, buybacks are viewed as "residual".
That is, any FCF that remains *after* dividends tends to be almost automatically allotted to buybacks -- without much regard for price.
This can be sub-optimal for the owners.
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Also, some companies buy back shares just to offset the dilution caused by Stock Based Compensation (SBC) -- sometimes paying fancy prices to do so.
This can add INSULT (buybacks at prices that don't make sense) to INJURY (excessive SBC).
In this thread, I'll share with you some thoughts on portfolio optimization.
This will help you understand: a) the basic math of optimization, and b) under what circumstances it makes sense to choose investments that maximize CAGR/IRR.
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The idea for this thread came from a poll that I conducted earlier this week:
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Here's the poll question I asked:
Suppose we have a stock that multiplies in value by a factor of N.
But it takes N years to do so.
What's the *maximum* rate of return (CAGR) that we can get from such a stock -- assuming we are free to choose whatever N we like?
In this thread, I'll walk you through Shannon's Demon.
This is an investing "thought exercise" -- posed by the great scientist Claude Shannon.
Solving this exercise can teach us a lot about favorable vs unfavorable long-term bets, position sizing, etc.
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Claude Shannon was an extraordinary engineer, scientist, and tinkerer.
For example, he single-handedly created the field of Information Theory -- the backbone behind virtually all modern communication and Internet technologies.
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Shannon was not just a great scientist.
He was also a very successful investor.
He and his wife Betty were avidly interested (and active) in the stock market.
By some accounts, they managed to compound their portfolio at ~28% per year from the late 1950s through 1986.
Ed Thorp (@EdwardOThorp) is a pioneer in the field of "how to recognize and take advantage of mis-priced bets".
This question has led Thorp to discover all kinds of fascinating and highly profitable strategies -- in Blackjack, Options Trading, Statistical Arbitrage, etc.
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In 2004 and 2005, Thorp published a 6-part article in Wilmott magazine.
In these parts, Thorp reminisced about his ventures into Statistical Arbitrage -- the science of profiting from the statistics of a large number of bets placed at once.
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I found this article to be an absolute gold mine.
It contains a wealth of investing/trading wisdom, plus a bunch of interesting nuggets from Thorp's extraordinary career.