Some unhealthy information after which some excellent news after which some unhealthy information.
Dangerous Information
On January 21, on his first full day in workplace, President Trump threatened to impose a ten% tariff price on imports from China. His beef is that “China,” no matter which means (cue co-blogger Pierre Lemieux), is sending to Mexico chemical substances (precursor chemical substances) which might be used to make fentanyl.
I used to be slightly stunned by this—not that Trump did it, however that the tariff price he proposes is “solely” 10 p.c. Why was I stunned? Through the marketing campaign, he threatened to impose a 60% tariff on Chinese language imports. Ten p.c is just one sixth of 60%. Furthermore, he threatens 10% on Chinese language imports on the identical time he threatens a whopping 25% tariff price on imports from Mexico and Canada.
Good Information
There may be excellent news right here. The harm performed by a ten% tariff will not be 1/6 of the harm performed by a 60% tariff. It’s just one/36.
How do I get that? There’s a fundamental theorem in economics, one which I taught my college students with easy algebra, that claims the deadweight loss from a tax is proportional, to not the tax price, however to the sq. of the tax price. If Trump had been to impose a 60% tax price, subsequently, the deadweight loss (DWL) from that may be 36 occasions the DWL from a ten% tax price.
The deadweight loss is the loss in client surplus and producer surplus from a tax.
Dangerous information
It’s additionally essential to notice that imports of products from China had been about $440 billion. Imports of products from Canada and Mexico collectively had been about $410 billion (Canada) plus about $500 billion (Mexico) for a complete of over $900 billion. In different phrases, imports of products from Canada and Mexico had been about double imports of products from China.
The deadweight loss from a tax is proportional to the amount of the merchandise taxed. The worth of imports equals the amount occasions the worth. However in working the DWL system we will roughly cancel out worth from China on the one hand and Mexico and Canada on the opposite.
So right here’s the underside line. If Trump goes forward with the ten% tariff on China and the 25% tariff on Canada and Mexico, the DWL from the tariffs on Canada and Mexico can be 6.25 occasions 2 occasions the DWL on tariffs on China. I get 6.25 by squaring 2.5 (25% divided by 10%) and a couple of from $900 billion divided by $440 billion. 6.25 * 2 and = 12.5. So the deadweight loss from Trump’s proposal tariffs on Canada and Mexico is roughly 12.5 occasions the DWL from the proposed 10% tariff on China.
Notes: For simplicity, I’m assuming that the baseline tariff price earlier than these proposed tariffs is 0. That’s not fairly true and the outcomes would change slightly if I made it extra correct. Additionally, the triangle within the image is the deadweight loss from a tax.
