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Swing: why a longer horizon is cheaper by arithmetic

Double the horizon and you get more travel while paying the same cost per trade. The other side: the move now happens without you, and you are charged funding for that.

What changes when a position stays overnight

Moving from intraday work to swing looks like the same thing, only longer, but three things change at once. A charge for time appears — funding settles three times a day. Movement that happens without you appears: news at four in the morning finds the position open. And the size changes: a stop on a weekly horizon is several times wider than a daily one, so at the same money risk the position must be smaller. Swing is not day trading that failed to close in time.

The key regularity: travel grows like the square root of time

This is measured on our own data, not taken from a textbook. Median travel across 166 liquid coins: 0.54% over 5 minutes, 1.02% over 15 minutes, 1.84% over an hour, 3.18% over 4 hours, 7.46% over a day. Compare that with the growth of time: an hour is 12 times longer than five minutes, yet travel is only 3.4 times larger. The square root of twelve is 3.46. The match is almost exact, and it is not a coincidence: that is how a random walk behaves.

Time grows faster than travel

HorizonTravelTimes longer than 5mTimes more travel
5 minutes0.54%
15 minutes1.02%1.9×
1 hour1.84%12×3.4×
4 hours3.18%48×5.9×
a day7.46%288×13.8×
travel ≈ travel per unit of time × √(number of units)

The practical meaning matters more than the formula: double the horizon and you get roughly 1.4 times more travel. Meanwhile the cost per trade does not change at all — you pay the same round trip. So the headroom computed in the previous lesson grows with the horizon, and grows noticeably: from 5.4 on five minutes to 75 on a daily window.

Why this makes swing cheaper

Put two things together. Travel grows like the square root of time — slowly, but it grows. Costs grow linearly with the number of trades — and on a long horizon there are tens of times fewer trades. The share of costs in the result therefore falls fast: for a scalper with thirty trades a day it is 3% of the account daily, for a swing trader with one trade a week it is 0.1% a week. A difference of two hundred times, requiring neither better markup nor higher accuracy.

What you pay for it

First, funding. The median rate is 0.0051% per settlement, that is 0.015% a day and about 0.1% a week: one more round trip, tolerable. But on a coin in the middle of a move the rate reaches tenths of a percent per settlement, and then a week costs several percent — comparable to the target of the trade. Second, the inability to intervene: the move happens while you sleep and the stop fills at a price you did not choose. Third and most underrated, the shelf life of the idea. An idea meant for a week can simply go stale during that week, and you end up holding a position for a reason that no longer exists.

Worked example

The same idea on two horizons

A coin with typical travel of 1.84% an hour and 7.46% a day. An intraday trade: target around the hourly travel, stop about the same, costs 0.1% — that is 5% of the target. A weekly trade on the same coin: weekly travel by the square root of the daily figure is around 20%, target of the same order, the same 0.1% cost plus 0.1% of weekly funding, 0.2% in total — now 1% of the target. The share of costs fell fivefold. That is why the very same markup moved to a higher timeframe often starts working without any improvement at all.

Common mistake

Holding a swing at intraday size

The most common and most expensive mistake of the transition. Position size is computed from the distance to the stop: the wider the stop, the smaller the position at the same money risk. A weekly stop is several times wider than a daily one, so the position must be smaller by the same factor. Someone who leaves the intraday size on for a week has multiplied his risk by exactly that factor — and usually finds out during the first bad week. Check this before entry, not after: compute the loss if the stop fills and compare it with what you are prepared to lose.

Common mistake

Watching a swing position every hour

People choose swing so as not to sit at the screen, and then sit at the screen. The harm is not in the time spent but in the decisions: hourly noise on a weekly horizon is exactly what you agreed to ignore when you opened the position. Watching it continuously, you will inevitably close early on a move that means nothing to your idea. The practical cure: assign a checking time — say once a day after the daily candle closes — and do not open the chart otherwise.

In the screener NATR is computed over several windows, including the daily one. Compare your coin's hourly and daily NATR: the ratio shows how much your headroom grows when you move to a weekly horizon. Next to it, look at the funding rate and its monthly rank — that is the second half of the calculation, and it is known in advance.

About volatility and NATR
Exercise

Recompute your last trade as a weekly one

Take your last intraday trade and recompute it as a weekly one. Take the instrument's daily NATR, multiply by the square root of seven — that is the approximate weekly travel. Place the stop based on that travel, compute position size from your acceptable money risk, and add seven days of funding at the current rate. Compare two figures: the share of costs in the target for the daily trade and for the weekly one. For most people the second is several times smaller — and that is the one argument for a long horizon that does not depend on any skill at guessing.

Check yourself

Travel is 2% an hour and 8% a day. Why not 48%?

Because price does not go one way for twenty-four hours — it moves back and forth, and part of the moves cancel each other out. That is why travel grows roughly like the square root of time rather than proportionally to it: the square root of 24 is 4.9, and eight percent against two fits that order nicely. There is one practical conclusion and it matters: a longer horizon gives you more travel, but NOT by the factor by which you hold longer. Expecting linear growth is a reliable way to set an unreachable target and get stopped out before reaching it.

Check yourself

If a long horizon is cheaper on costs, why doesn't everyone swing trade?

Because costs are not the only price. A long horizon is paid for with funding, with the inability to intervene and, above all, with time: a weekly trade takes a week of your life and your capital, and the result arrives rarely and slowly. Then psychology: sitting three days in the red is harder than closing a loss in ten minutes, even though the money lost is the same. Arithmetic says a long horizon is cheaper; it does not say you will be able to endure it — and that is a question for the next course.