Assume that that tax revenues (T) are proportional to income (Y). That means if the tax rate is equal to t, then we have  T = tY. Also, consumption (C) and investment (I) functions are given as the following: C = a + b (Y – T)  [where a and b are constant] I = c – dr.  [where c and d are constant, and r is the interest rate] A) Find the expression of the government purchase multiplier. (Use derivative) B) What will happen to multiplier if tax rate increases? What will happen to multiplier if MPC increases?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter9: Aggregate Expenditures
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Assume that that tax revenues (T) are proportional to income (Y). That means if the tax rate is equal to t, then we have  T = tY.
Also, consumption (C) and investment (I) functions are given as the following:
C = a + b (Y – T)  [where a and b are constant]
I = c – dr.  [where c and d are constant, and r is the interest rate]

A) Find the expression of the government purchase multiplier. (Use derivative)

B) What will happen to multiplier if tax rate increases? What will happen to
multiplier if MPC increases?

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