Reader, it is difficult to overstate just how incredibly bad the “Liberation Day” tariff scheme is. Top to bottom, it is incoherent. When the plan was announced on April 2 with Donald Trump holding up a board of seemingly-random numbers, economists had to scramble to figure out what, exactly, these figures came from. They seemed utterly divorced from reality and had nothing to do with reciprocity. Folks figured the numbers were the bilateral trade deficit divided by imports to that country. This prompted the USTR to deny that claim and release their actual calculations. Somehow, it was worse than what people thought.
One would think that a model on “reciprocal” tariffs would include tariffs from the other country. Indeed, there are already well-established methods in US law and economic theory in determining what reciprocal tariffs should be in the face of unfair trading practices. Section 301 of the Trade Act of 1974 lays out various remedies, as does the Reciprocal Tariff Act. Countervailing duty calculations already exist; this new model serves no purpose when it comes to reciprocity or even correcting “unfair” trade practices since it doesn’t take into account any tariffs or nontariff barriers.
Rather, the model treats bilateral trade deficits as per se evidence of unfair practices. One could make an argument that overall trade deficits are bad (but even that is a stretch as such an argument is conditional, not per se, and made even weaker when a nation is the international reserve currency). But bilateral? Absolutely not. There is no reason to think that trade between any two partners would be equally balanced; we do not live in a barter economy. The entire point of money is to facilitate these bilateral trade imbalances. I have a trade surplus with my employer. That is not per se evidence that I am ripping them off. Likewise, I have trade deficits with the grocer, the butcher, the brewer, and so on. That is not per se evidence that Rouses Supermarket, Bourgeois Meat Market, nor Abita Brewing is ripping me off. If it weren’t for money, we would have to have bilateral trade balance: I would need to find exactly what Rouses wants for my daily meals (I am willing to bet they do not want economics research). So, the premise of the entire model fundamentally misunderstands the very foundations of monetary economic exchange.
But, for the sake of argument, let us assume that the model’s premise is valid. Let us take a look at the model itself. The USTR reports the model as the balance of trade with a given country divided by price elasticity of imports (ε) times tariff passthrough (φ) times imports. This model means nothing; it hides this meaninglessness behind Greek letters, but there is no interpretable meaning to this model. It’s not obvious it will even do what the authors want it to do. Reader, you will not find this model in any economics textbook or paper and, at least as of this writing, no one has released an in-depth report on the logic of the model. So, even if the premise was valid, there is no prima facie reason to think the model itself has anything to do with the premise.
But, for the sake of argument, let’s assume that the model is valid. The model parameters chosen are illogical. For ε and φ, the USTR chose the same values for each country. But there is no reason to assume ε and φ would be identical for each country, or even for each good within each country. Both ε and φ depend on exchange-specific factors. For example, goods with many substitutes, ε will be higher (or lower if the good has few substitutes). Consequently, this implies that the calculated tariff rate is likely incorrect; it may be too high and it may be too low.
But, for the sake of argument, let us assume that every country in the world has the exact same ε and φ. The numbers chosen for these parameters are incorrect. The authors state:
Recent evidence suggests the elasticity is near 2 in the long run (Boehm et al., 2023), but estimates of the elasticity vary. To be conservative, studies that find higher elasticities near 3-4 (e.g., Broda and Weinstein 2006; Simonovska and Waugh 2014; Soderbery 2018) were drawn on.
Those are some estimates, sure. But, despite the statement that ε of 4 is “conservative,” it’s actually not. Many studies find that ε is upwards of 5-7, especially after a trade shock (see, eg, here). Furthermore, they just set φ at 0.25.* No citation given. The only justification given is:
The recent experience with U.S. tariffs on China has demonstrated that tariff passthrough to retail prices was low (Cavallo et al, 2021). [link added]
But retail prices are not the relevant measure here. We need total passthrough. Here is what Alberto Cavallo et al actually say (emphasis added):
At the border, import tariff pass-through is much higher than exchange rate pass-through. Chinese exporters did not lower their dollar prices by much, despite the recent appreciation of the dollar. By contrast, US exporters significantly lowered prices affected by foreign retaliatory tariffs. In US stores, the price impact is more limited, suggesting that retail margins have fallen. Our results imply that, so far, the tariffs’ incidence has fallen in large part on US firms.
The authors of the report get Cavallo et al exactly backward. Rather than showing low passthrough, they actually show nearly complete passthrough and that the tariff passthrough was borne by Americans. This is a horrific case of cherry-picking by the USTR. Oh, and by the way, research shows φ is closer to 0.8, not 0.25. Consequently, both ε and φ are underestimated, indicating the tariff calculation is systematically too high.
But, for the sake of argument, let us assume that their choices for ε and φ are accurate. We get to the real kicker. The authors write:
“Assuming that offsetting exchange rate and general equilibrium effects are small enough to be ignored…”
This assumption is huge. Their whole model falls apart if the assumption does not hold. Here’s the problem: The entire point of the tariffs is to have exchange rate and general equilibrium effects! They state so multiple times in their report and the Trump Administration’s economic advisors have said so as well. Thus, the core necessary assumptions of the model never held, meaning the whole thing is bunk ab initio. Indeed, not 24 hours after the tariff scheme was released, the stock market had its worst two days on record and the dollar depreciated. I don’t think I’ve ever seen a model get proven wrong so fast. 24 hours has got to be some kind of record. Even the COVID lockdown models, as bad as they were, took a few months to blow up.
I repeat again: it is hard to overstate just how bad this model is. Start to finish, it is incoherent and rife with bad assumptions, bad parameters, and no logic. This is not the result of reasoned thinking. It is a shameful display of scientism.
*By the way, this is why folks initially thought that the model was just the trade balance divided by imports. If ε = 4 and φ = 0.25 and the denominator is ε * φ * imports, then ε * φ = 1 and the whole denominator reduces to just imports. The fact the USTR didn’t see that is problematic.
READER COMMENTS
Alan
Apr 6 2025 at 1:30pm
Bravo, Jon!! Well stated, thank you.
Jon Murphy
Apr 6 2025 at 11:18pm
Thank you!
Warren Platts
Apr 6 2025 at 2:53pm
The 0.25 elasticity is conservative. Last I checked, the elasticity of oil is 0.1, entailing a 1% change in supply or demand causes a 10% change in price.
Jon Murphy
Apr 6 2025 at 7:15pm
[I accidentally posted my response below]
Bob
Apr 6 2025 at 3:00pm
Under their model, the only fair trade is the company store from the old mining towns. Maybe the commissary in an an army base when one is sent abroad.
we can also model it as a Soviet citizen buying all their goods from the state. So socialism, but in an international trade environment. The new International Socialism.
Jon Murphy
Apr 6 2025 at 3:11pm
Yeah. It’s a model that reeks of (poorly thought out) central planning
Student
Apr 7 2025 at 10:08am
It doesn’t just reek of central planning… it is central planning.
Thus the recent dictat… I know better than the markets, drink the medicine I am forcing you to drink and shut up and like it.
And…. if you dare to price things as you see fit after these tariffs rather than price things as I see fit, you will be hearing from me and you won’t like it.
Jon Murphy
Apr 6 2025 at 3:10pm
First, your description of elasticity is wrong. It’s a percent change in quantity supplied or demanded, not a change in supply or demand.
Second, your interpretation is incorrect. It’d be a 10% change in price causes a 1% change quantity supplied/demanded.
Third, note that I address your supposed objection in my post as a reason why their model is incorrect:
Fourth, their estimate is for the elasticity of all imports, not a single product.
Fifth, the 0.25 is the tariff pass through, not elasticity. Elasticity is 4 in their model.
Six, the 0.25 passthrough is not “conservative.” It is asserted and the study they cite actually estimates passthrough closer to 1.
Points 1-3 are rudimentary Econ 101 mistakes. Expected of principles level students, but they will not pass my class if they routinely make them.
3-6 are rudimentary reading mistakes. I strongly encourage you to read the posts (and linked material) far more carefully in the future.
David Henderson
Apr 6 2025 at 4:55pm
Excellent post, Jon.
The big new learning for me relates to this:
I was one of those “folks,” Now I see that it wasn’t that.
Jon Murphy
Apr 6 2025 at 7:21pm
I was too. It wasn’t until I dug into the model until I saw what was happening
steve
Apr 7 2025 at 10:41am
Wonder if that was just a coincidence. If you were some economist trying to explain this to Trump wouldn’t it be a lot easier to tell him it was trade balance divided by imports? Or give him the choice between two options and let him choose? The whole thing is pretty opaque and we dont really know who is in on the planning and decision making but there are a number of Trump people who have decent training. Are they just excluding all of those people or are they being asked to give Trump choices with plausible explanations?
Steve
Mactoul
Apr 7 2025 at 2:27am
Either one sticks with the paradigm that all trading is between individuals and then it isn’t clear what these unfair trading practices are.
Other one sticks with the establishment view that trade is between countries and is managed by governments and bilateral/multilateral agreements between them.
Jon Murphy
Apr 7 2025 at 5:59am
There can be unfair trade among individuals and a subsequent government role to correct it (eg fraud). So, I’m not sure what this “either-or” point you’re trying to make is.
Regardless, my point in those lines (poorly conveyed) is that legal and coherent methods already exist for dealing with the alleged issues the Trump Administration claims. This new reciprocal tariff model serves no purpose.
Speed
Apr 7 2025 at 9:31am
Maybe everyone is over thinking this …
Perhaps Trump’s plan is to put high import tariffs on foreign goods so US businesses and households reduce by a lot the amount of such goods imported and purchased by US citizens and businesses thereby damaging foreign manufacturers.
No fancy modeling or calculations … just an incredibly high number that will cause serious harm to foreign businesses and economies.
US businesses and households will be inconvenienced while the foreign manufactures will lose sales and if in place long enough the tariffs will cause serious damage to the foreign manufactures, workers, citizens and economies.
And … to end or prevent such damage, foreign nations will seriously reduce or eliminate their export tariffs … or so President Trump believes. Is he holding the high hand? We’ll see.
steve
Apr 7 2025 at 10:52am
We will not just be inconvenienced. We will be harmed in proportion to the harm caused to other countries. Our prices will also go up and we will become a less wealthy country. As others have pointed out here the US will be seen as a poor trading partner so we likely lose partners and its not as if those other countries cant find other to trade with. These will be effects that linger past the tariffs, assuming they go away at some point. We wont be rich as an autarky.
Steve