Suppose there is an increase in tax payments, T, of $300 billion in this economy. Given your consumption function and no other changes, what is the change in consumption given this change in tax payments?
Consider an individual consumption function, which is the standard textbook consumption function, that is, has a y-intercept of autonomous consumption and is linear in the disposable income. Assume that the slope of this consumption function equals 0.7, and that the autonomous consumption equals $20 billion in the aggregate economy.
Ans: The change in consumption is equal to -$210 billion. To see this consider your consumption function C = a + b(Y – (T – TR)). The only thing that changes in this equation on the right hand side is T. The change in T is $300 billion. So, effectively you are calculating ?C = .7(-?T) = .7(-300) = -$210 billion.
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