Foreword
How should we evaluate a $100 company that pays $10 in dividends a year, every year, vs another $100 company that pays $5 in dividends this year, $5.25 next year, $5.51 the year after, and so on, increasing its dividends by 5% a year?
As usual, a reminder that I am not a financial professional by training — I am a software engineer by training, and by trade. The following is based on my personal understanding, which is gained through self-study and working in finance for a few years.
If you find anything that you feel is incorrect, please feel free to leave a comment, and discuss your thoughts.
Perfect world
Let’s say we have a business that scales infinitely at 10% returns — for every $100 you invest in it, it will return $10 every year in perpetuity. Further, let’s say we live in a perfect world, where there are no taxes to worry about and other transactional costs.
This business is, then, the first example from above — the $100 company that pays $10 in dividends every year.
Transmogrify
Now, imagine if at the end of year 1, instead of pocketing the $10 in dividends, you pocket $5, and invest $5 into the company. Now you have $105 invested in the company, so your next dividend will be $10.5. Again, you do the same thing, pocket half, and put the rest back into the company — in year 2, you’ll then pocket $5.25, and reinvest $5.25 for a total of $110.25 invested. In year 3, you’ll get $11.02 in dividends, of which you’ll pocket $5.51, and reinvest $5.51, and so on.
If you look at the numbers closely, you’ll realize that we’ve transformed our 10% dividend paying company, into a 5% dividend paying company, but with a 5% increase in dividends every year.
In general, absent frictional costs (like taxes, transaction costs, etc.), an asset that yields X% a year every year, is equivalent to an asset that yields Y% a year, but which grows the dividends at (X-Y)% a year — The difference (X-Y)% in yearly yield can be considered as being re-invested to grow the next year’s yield at an additional (X-Y)%.
Welcome to Earth
Of course, in real life, there are taxes and there are transactional costs — in the prior example, your $10 per year in dividends will be taxed, leaving you less than the desired amount to reinvest so that you cannot achieve the 5% increase in dividends for the next year — one way of thinking of it, is if the money was directly reinvested instead of first being passed to you as dividends, the taxes on that reinvested part will not be due yet, and so will compound for you instead of the government.
But even though so, in many cases, it is useful as a rule of thumb to think of the two companies as essentially equivalent. There are many ways around the frictional costs conundrum:
- You could invest using a tax-advantaged account such as an IRA or a 401(k), in which case, there are no tax consequences right now either way.
- If you didn’t intend to reinvest anyway, the tax drag is irrelevant.
- When you pay taxes, and then reinvest in a smaller piece of the company with after tax money, your cost basis for that smaller piece of the company is higher, which reduces future taxes.
- Reinvesting involves increasing your stake, which involves additional risks. The taxes paid now can be considered a counterbalancing force for not taking on those additional risks.
In practice, since tax rates can differ dramatically between different investors, many financial decisions are evaluated without taking taxes into consideration, with tax considerations being worked in later at the edges. So while a single person investing their own money may prefer one company or the other (depending on their personal tax situation), a fund manager (who services multiple clients with different tax situations) may actually treat the two companies as essentially the same.
Risks
One thing we only briefly touched on, is the idea of risk. If you take the $10 in dividends now, that’s a $10 profit there and then. But if you reinvest $5, then you are betting that the increased 5% of investment will result in 5% (or higher!) increase in yield going forward.
That may not be true!
Unlike our toy example, most businesses in practice do not scale forever. Whether you are selling cars, TVs, or services, at some point, you simply run out of customers to sell to. Also, as companies get bigger and bigger, bureaucratic overheads tend to grow and at some point, the marginal rate of return simply diminishes to 0 or even negative.
Which is to say, cash now is certain, while future growth is uncertain, and most investors will generally demand that an increase in investment of X% results in more than X% increase in yield going forward. Otherwise, it may not make sense from a risk/reward perspective.