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Principles of Microeconomics / Unit 11   MIC 1010 worked example, 60 to 90 seconds

Who Sells and Who Buys Permits

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The idea

Given each firm's emissions, its abatement cost per ton and an equal permit allocation under a cap, predict the trades. A firm whose abatement cost is below the permit price abates beyond its allocation and sells the surplus; one whose cost is above the price abates nothing and buys. The permit price settles between the low and high abatement costs. Total emissions equal the cap whoever trades; trades decide only who abates, and they cut total cost against a rule making every firm cut equally.

In practice

Worked example: three plants each emit three hundred tons, and abatement costs ten, thirty and sixty dollars a ton. A cap of four hundred fifty tons gives each one hundred fifty permits. At a permit price of thirty dollars, the ten-dollar plant abates all three hundred tons for three thousand dollars and sells its one hundred fifty permits; the sixty-dollar plant abates nothing and buys them; the thirty-dollar plant abates its own one hundred fifty. Total abatement is four hundred fifty tons at a cost of seven thousand five hundred dollars. Making each plant cut one hundred fifty would have cost fifteen thousand.

Where people slip

The cap sets the environmental outcome; the trades set only the cost. And the permit price is not tax revenue: it moves between firms; a government that sold permits rather than giving them away would collect it instead.

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