Hi. Professional mathematician here. This formula is fucking stupid.
Let me start off by saying that, just because I don't recognize a formula, doesn't mean it's never used. Duh. But I work closely with the biology, chemistry, physics and, yes, business schools here, since my math classes are prereqs for them. And I haven't seen this.
But it turns out, not only had nobody else, but that was by design. Basically every news source has said the same thing: all Trump did was find a percentage. Trade gap / imports -> % tariffs. Dividing by two might be one of those denominator variables, but since it was 2 for everyone, why make it a variable, and what's the other one doing? And the 10% minimum isn't shown.
The use more than two variables, Greek letters no less, to express that is like calculationg the distance between each knuckle and the next when pressing 1 to cast Arcane Missiles in Vanilla.
That annotated formula comes from Axios. So is this description:
To quote Reuters:The official formula for calculating the "reciprocal" tariffs on countries, as published by the U.S. Trade Representative, is much less complicated than it looks at first glance.
The word "reciprocal" notwithstanding, there's nothing in the formula that represents tariffs or any other trade barriers imposed on U.S. exports.
That's despite the White House insisting that "we literally calculated tariff and non tariff barriers."
Once you fight your way through the thicket of Greek letters, the formula is really very simple.
To quote the NYTimes:Asked about its methodology, White House Deputy Press Secretary Kush Desai posted on X that "we literally calculated tariff and non-tariff barriers" and included a screenshot of a White House paper setting out the algebra behind the formula.
Asked on CNBC how the Trump administration came up with the formula, Commerce Secretary Howard Lutnick did not directly explain it but said United States Trade Representative (USTR) economists had worked for years on a metric that reflected all trade barriers set up by a given country.
But economists across the world rushed to point out that the terms cancelled each other out in such a way that it could be reduced to a simple quotient of goods trade deficit over goods trade exports.
"There is really no methodology there," said Mary Lovely, Senior Fellow at the Peterson Institute. "It is like finding you have cancer and finding the medication is based on your weight divided by your age. The word 'reciprocal' is deeply misleading."
Robert Kahn, managing director, global macro for Eurasia Group consultancy, agreed that it produced "a lot of these kind of nonsense numbers that aren't material".
"It sends a signal ... that we are pulling back from our relationships and alliances with them and is a cold shower to a lot of our traditional allies," he told Reuters.
"Cheating" of course being an abstract term that (a) could be used to justify anything due to its unspecified nature, and (b) was apparently not even used at all.James Surowiecki, a financial writer and book author, first pointed out the trend in a post on X. His comment set off widespread speculation, given that Mr. Trump previously said each nation’s tariff rate would be “the combined rate of all their tariffs, non-monetary barriers and other forms of cheating.”
Those non-monetary barriers include a host of hard-to-quantify laws and other policies that Mr. Trump sees as the primary reason that the U.S. experiences such trade imbalances in the first place. (There are exceptions: Some nations face only a standard 10 percent minimum tariff starting this month.)
In an earlier briefing with reporters, White House officials said the figures were calculated by the Council of Economic Advisers using well-established methodologies. The official added the model was based on the concept that the trade deficit that we have with any given country is the sum of all the unfair trade practices and “cheating” that country has done.
The White House later clarified its methodology in this post. Though it uses some mathematical symbols that might be hard to parse, it confirms that the formula is essentially based on the U.S. trade deficit with a foreign country, divided by the country’s exports.
“It was always going to be a really difficult exercise to come up with a very precise reciprocal tariff rate,” said Emily Kilcrease, the director of the Energy, Economics and Security Program at the Center for a New American Security and a former deputy assistant U.S. trade representative.
“Given what seems to be their desire to get something out quickly, it appears what they’ve done is come up with an approximation that is consistent with their policy goals,” she said.
And let's look at (as one article I read today said) Madagascar, which exports $750 million, mostly vanilla. They can't afford to import $750 million. They cannot afford to close the trade gap, and also, are not "cheating" by raising crops and selling them. That's just business. To the best of my knowledge, Madagascar does not impose a stiff tariff on US imports, as the average salary of a Madagascar citizen is about $500 a year.
Bear in mind, tariffs were put on countries with whom we have a surplus. These are not "reciprocal". They are not driven by the other countries' governments. They are based on the American consumers wanting goods from those countries, and the more we want them, the harsher the penalty. Trump is lying.
Oh, and Trump left out services. Why? The US is a net exporter of services. Basically, Trump watched as the US took in a $20 meal, traded it for a $20 oil change, then complained that the meal was $20 and demanded his money back.
All Trump does is lie. Lying by holding up a sign with Greek letters, pointing to it, and saying "we did the math!" changes nothing.

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