Online Posts Unveil the Formula Behind Trump's Tariffs -->

Online Posts Unveil the Formula Behind Trump's Tariffs

Kamis, 03 April 2025, April 03, 2025

On April 2, 2025 U.S. President Donald Trump unveiled a significant collection of tariffs , or taxes on imported products, applied by essentially every other nation globally. During his announcement, Trump referred to the tariffs as " kind [and] reciprocal implying the tariffs were flexible, customized for each specific nation, and aimed at aligning the importing charges so they match what other countries impose on products from the USA. (As Trump stated, Mutual. It implies that actions are performed reciprocally; what happens to one party also happens back to the other. ")

However, according to some posts On the social media platform X, Trump's tariff rates were not aimed at aligning U.S. tariffs with those of other countries. Rather, according to the posts, these new rates were determined by taking a nation’s trade deficit with the U.S.—which is what they sold to America minus what they bought from America—and then dividing this figure by the total amount the U.S. imported from said country. In essence, this was the method used for their calculations. were not based Regarding foreign tariff rates altogether.

The postings were accurate, even though White House Deputy Press Secretary Kush Desai did not contradict them. responding to one of them , " No, we actually computed both tariff and non-tariff barriers." Below is an explanation:

Trade Economics 101

To start with, let’s review some fundamental terms: Imports refer to products brought into a nation, whereas exports denote items dispatched from that nation. The difference between these two figures—exports minus imports—is what determines a country's trade balance.

For instance, according to the website of the United States Trade Representative In 2024, the U.S. exported $143.5 billion worth of products to China and imported $438.9 billion worth of goods from them. This resulted in a trade deficit of -$295.4 billion.

Should the figure be negative—as shown in the earlier instance—indicating that a nation imported more goods than it exported, then the importing entity (in this case, the U.S.) experiences a trade deficit. Conversely, should the number be positive, suggesting that exports surpass imports, the trading country will have a trade surplus. According to these computations, the U.S. faces a trade deficit when compared to China, which consequently enjoys a trade surplus against the U.S.

The real formula, as per social media postings

Social media posts suggested that the new tariffs were determined by using figures such as the U.S. trade deficit with China divided by the total imports from China. For instance, they stated that since the U.S. had a trade gap of $295.4 billion with China out of importing $438.9 billion worth of goods, this equates to roughly 67%.

The White House X account Posted tables that can be utilized to verify the work: The percentage aligns with the column titled "Tariffs applied to the U.S.A., factoring in currency manipulation and trade barriers."

Next, the "U.S.A. discounted reciprocal tariffs" column halved those figures and then rounded up to establish a base rate of 10% for nations with lower percentages. (This reduction probably corresponds to what Trump meant when he described the tariffs as being "kind".)

Another example: T The trade gap between the U.S. and Norway amounted to $2 billion (with $4.6 billion in exports from the U.S. and $6.6 billion in imports). When you divide $2 billion by $6.6 billion, you get approximately 30%, which matches the figure shown on the White House’s chart under “Tariffs imposed on the U.S.”

The Trade Representative's formula

The The U.S. Trade Representative's site published the formula Used for calculating tariffs. To demonstrate that the social media posts were accurate, we'll try to simplify the following equation to “trade deficit divided by imports.”

(official website of the U.S. Trade Representative)

The site also provided an explanation for what each variable stands for as follows:

In a scenario where the US imposes a tariff rate of Ï„_i on nation i, and ∆Ï„_i denotes the alteration in this tariff rate, we can define several factors: ε < 0 as the responsiveness of imported goods to changes in price; φ > 0 as how much these tariffs affect import costs; m_i > 0 representing all imports coming from nation i; and x_i > 0 indicating total exports going out. Consequently, when tariffs shift by ∆Ï„_i, the reduction in imports equates to ∆Ï„_i * ε * φ * m_i < 0. Supposing minor influences from fluctuating currency values and broader economic shifts, the counter-tariff leading to balanced two-way commerce would meet the condition wherein:

The sum of (xi - mi) equates to "total exports" subtracted from "total imports," as per the equation. This precisely defines a trade deficit. Step one completed.

The bottom (epsilon ( ε) * phi ( φ) * mi) is equal to the " elasticity of imports" times "the tariff pass-through to import prices" times "total imports." Put simply, this means it’s total imports multiplied by two additional components. We're nearly at our simplified version since we already have imports factored into the denominator here. Now, let's break down those remaining two elements.

There's a lot of complex economics involved here, but we can steer clear of it. According to the trade representative’s website, epsilon is set at 4. although based on economic papers , it should be -4) And phi is equal to 0.25. Since 0.25 multiplied by 4 equals 1 (or -1 when epsilon is -4), the Pass-through and elasticity negate each other and do not influence the formula. To put it another way, the only factor in the denominator that counts is imports—indicating that the overall equation essentially mirrors what was shared by users on social media platforms.

To provide a somewhat more comprehensive clarification, Matt Levine, who writes opinions for Bloomberg, divided it up this way (brackets ours):

Do not concern yourself with the delta before the tau, or the subscript. i Those are merely decorative elements. More importantly, the USTR has included an epsilon and a phi in the denominator of the formula. These variables stand for specific values: epsilon corresponds to “minus four,” and phi stands for “zero point two five.” When multiplied, they yield negative one. Thus, it’s the identical equation as before—surplus over exports—but now includes additional Greek symbols.

Why did the USTR use “epsilon times phi” for a negative symbol? There’s a rationale behind this choice. Here, epsilon stands for "the elasticity of imports concerning the import price,” whereas phi represents "the impact of tariffs on the import price.” These two factors balance each other out perfectly: If tariffs rise by 1%, it leads to a 0.25% hike in import costs due to passthrough effects, but at the same time, such an increase cuts down import demand by about 1% because of elasticity. Thus, setting a tariff equivalent (percentage-wise) to the nation's trade surplus with the US would nullify that surplus entirely. The USTR references certain research papers for support. not discovering those results, and subsequently fabricates figures for simplified calculations.

Levine decided to change the viewpoint from within the U.S. to outside perspectives, which led him to use the phrases "surplus" and "exports" rather than "deficit" and "imports." Nonetheless, the mathematical calculations remain the same.

What is the actual impact of these tariffs?

As explained by the Trade Representative, the tariff rates were determined with the aim to " The economic strategy aimed to ensure that the U.S. exports an equal amount of goods as it imports, effectively eliminating the bilateral trade deficit.

The Financial Times I spoke with economic specialists who determined that the reasoning was "severely lacking from an economic standpoint" and indicated that the tariffs would fail to achieve their intended objective of reducing the bilateral trade deficit to zero.

Oleksandr Shepotylo, an econometrician from Aston University in Birmingham, informed The Financial Times that the tariffs seemed "to align somewhat with economic principles." However, they lack practical justification. He explained, “The formula ... calculates a tariff rate aimed at eliminating the bilateral trade deficit entirely. It’s an irrational aim because there isn’t any economic rationale for achieving perfectly balanced trade across all nations.”

Sources:

Boehm, Christoph E., and others. "The Long and Short (Run) of Trade Elasticities." American Economic Review, vol. 113, no. 4, April 2023, pp. 861–905. www.aeaweb.org , https://doi.org/10.1257/aer.20210225 .

Bohannon, Molly. "This Is the Complete List of Trump's Reciprocal Tariffs Announced on Wednesday." Forbes, https://www.forbes.com/sites/mollybohannon/2025/04/02/heres-the-full-list-of-trumps-reciprocal-tariffs-announced-wednesday/ Accessed April 3, 2025.

Chua, Neelabh Chaturvedi, Asriel. "How Has the U.S. Determined Its Tariff Amounts?" CNBC, April 3, 2025, https://www.cnbc.com/2025/04/03/how-did-the-us-arrive-at-its-tariff-figures-.html .

Foster, Peter, and Sam Fleming. "Economists Stunned as Donald Trump Unveils His Tariff Strategy." Financial Times, 3 Apr. 2025.

Goldberg, P. K., and N. Pavcnik. "Chapter 3 - The Impact of Trade Policy." Handbook of Commercial Policy, edited by Kyle Bagwell and Robert W. Staiger, vol. 1, North-Holland, 2016, pp. 161–206. ScienceDirect, https://doi.org/10.1016/bs.hescop.2016.04.002 .

Goldman, David. "Here's How Trump Unveiled His Questionable 'Reciprocal' Tariffs - CNN Business." CNN, April 3, 2025. https://www.cnn.com/2025/04/03/economy/reciprocal-tariff-math/index.html .

Nagle, Toby. "The Most Foolish Graph of Your Day." Financial Times, 3 Apr. 2025.

"Mutual Tariff Computations." United States Trade Representative, https://ustr.gov/issue-areas/reciprocal-tariff-calculations Accessed April 3, 2025.

Redmond, Nora. " Trump's Approach to Tariffs Reveals What Really Matters to Him: Trade Deficits." Business Insider, https://www.businessinsider.com/the-math-used-to-calculate-trump-tariffs-2025-4 . Accessed April 3, 2025.

"The Implementation of Mutually Responsive Tariffs on Imported Goods Aimed at Correcting Trade Activities Contributing to Significant and Ongoing Annual U.S. Merchandise Trade Shortfalls." The White House, 2 Apr. 2025, https://www.whitehouse.gov/presidential-actions/2025/04/regulating-imports-with-a-reciprocal-tariff-to-rectify-trade-practices-that-contribute-to-large-and-persistent-annual-united-states-goods-trade-deficits/ .

Schulz, Jessica Guynn, and Bailey. "What Is a Reciprocal Tariff? Explaining Trump's Tariff Strategies." USA TODAY, https://www.usatoday.com/story/money/2025/04/02/what-are-reciprocal-tariffs/82782451007/ . Retrieved on April 3, 2025.

"The People's Republic of China." U.S. Trade Representative, https://ustr.gov/countries-regions/china-mongolia-taiwan/peoples-republic-china Accessed April 3, 2025.

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