The Long Arithmetic: Issue 11

You cannot flatten a globe without stretching it somewhere.

Every world map gives something up. It is not a lie, just never the globe itself. A flat sheet cannot hold a round planet at full precision, so the mapmaker has to choose which truth to keep and which to bend. The Mercator projection, the one on most classroom walls, keeps the angles honest, which is why sailors trusted it for centuries. In exchange it swells everything near the poles. Greenland looks about the size of Africa. It is closer to a fourteenth of it.

You can keep the shapes honest or the areas honest. You cannot keep both on the same flat sheet. A geometer named Gauss proved two centuries ago that the tearing is unavoidable: press a sphere onto a plane and you will distort it somewhere, every time. The only real choice is which distortion you are willing to live with, and whether you chose it on purpose.

A portfolio is a map too. It is a flat drawing of a life you have not lived yet, and it loses precision in the same forced way.

Most people who have built real wealth want three things from it at once. They want the money to last, so it does not run out in a retirement whose end they cannot see. They want to live well now, while their knees and their curiosity still work. And they want to leave something behind, for children or causes or a name. Longevity, lifestyle, legacy. Say the three out loud and they sound like partners. Fund them at the same time and they start pulling against each other.

Take any single dollar and watch it refuse to be in three places. A dollar held back as a longevity buffer, in something safe and reachable, is a dollar not funding the trip you wanted to take at 62 instead of 82. A dollar you spend on that trip is a dollar your children will not inherit. A dollar you fence off for them, sitting untouched so the estate stays whole, is a dollar doing nothing for the life you are living now. The same money, pointed at any one of the three, quietly starves the other two. That is the geometry of it, and no plan drafts its way out of geometry.

One reader wrote in trying to hold all three at once. She wanted, in her own words, to maximize the longevity of her investment income while living the lifestyle she wanted, without taking her net worth to zero, and without leaving too much to the kids. Then she asked for a framework to think it through. I read the note a few times. Not because the question was muddled, but because it was honest. She had named three competing wants in one breath and felt them fighting, which is the exact moment most people look away.

Here is the exercise I keep coming back to. It is not a calculation. Enough was the calculation; the first issue of this newsletter was about finding that number. This is the question sitting underneath the number: what is the capital actually for.

Try to write it in three sentences. One each. No hedging inside them yet.

First sentence, the floor. The income this money has to protect no matter what the market does, the level below which your life changes in a way you are not willing to accept. This is the sentence T-bills and a money-market fund can serve, or a paid-off house, or whatever you keep boring and reachable on purpose. It is the least glamorous sentence and usually the one people underwrite last.

Second sentence, the life. What this money should turn into while you are still here to use it, stated as something specific: the trip you keep deferring, the person or cause you would actually write the check to, not the vague version of either. “Travel more” stays a wish. “Two weeks with my brother before his knees give out” is specific enough to fund.

Third sentence, the remainder. What, if anything, this money is meant to leave behind, and to whom, and why. The “why” is the part that does the work. A figure with no reason attached to it is just a placeholder for a conversation you have not had yet.

Most people cannot finish all three cleanly on the first try. The sentences contradict, or one comes out blank, or the third is a number with no reason behind it. The contradiction is the exercise working. It was already there. Writing it down just moves it from your stomach to the page, where you can look at it directly.

The mapmaker's honesty is not in avoiding distortion. It cannot be avoided. The honesty is in naming which distortion they chose, and admitting the map is not the ground.

The same test applies to a portfolio. You are already making the trade, whether or not you have looked at it. If you have never written the three sentences, your defaults have written them for you: an asset mix chosen years ago, a spending level that crept up on its own (I wrote about that ratchet a few issues back), an estate plan that is really just whatever happens to be left when you stop. That is a projection too. You just did not pick it.

Choosing on purpose does not make the tension disappear. I have not made mine disappear. My near-term money sits in low-yield T-bills and a money-market fund, reachable on my own schedule; that is one way I keep the first sentence solid, and the lower yield is the fee I pay for it. It is a distortion I picked knowingly, underweighting the second and third sentences a little to protect the first. Someone with steadier income and a longer horizon would reasonably choose the other way. There is no correct projection. There is the one you drifted into, and the one you can defend.

The third sentence is the one I watch people avoid most, usually by making it enormous or making it zero, which are both ways of not deciding. There is a book that argues hard for the zero end: Bill Perkins' Die With Zero. His case, roughly, is that money you never spend is life you never lived, that experiences pay what he calls memory dividends and pay them larger the earlier you collect them, and that money given to your children does far more at 30, against a down payment or a debt, than at 60 when they are already settled. I think he is right about the direction, too neat about the endpoint. Optimizing your life down to a zero balance assumes you know your own end date and your own future wants, and you do not. The floor exists precisely because the future is not knowable. So I hold his argument as a corrective rather than a rule: most people err toward hoarding, and his book is a useful shove, but it does not cancel your need for a floor.

However you land on it, the smaller point holds: if the third sentence is blank or reflexive, it is still shaping the other two. A legacy you never chose is still being funded, one unspent dollar at a time.

One more thing the map gets right: it goes out of date. Coastlines shift, borders move, and the projection that served you at 45 can distort the wrong things at 65. The three sentences are not written once. The floor you need changes as your health and your obligations change. The life you want to fund has a clock on it that the far-off legacy does not. Enough moves, as I have said before, and so does what enough is for. So the three sentences get rewritten every few years. That is how the map stays pointed at the ground you are actually standing on.

You cannot keep the shapes and the areas on the same map. You cannot fully fund longevity, lifestyle, and legacy with the same dollar. The people I watch struggle least with this all did the same small thing. They wrote the three sentences, saw the contradiction, and chose their distortion with their eyes open.

So here is the question to sit with this week, before the number and before the plan. If you had to say in three sentences what your capital is actually for, could you finish all three? And which one goes quiet when you try?

Disclaimer: This is not financial advice. Consult your CPA or licensed advisor before acting on anything specific to your situation.

Until Monday.

Alina