5. What are the equilibrium values of the interest rate, r, and investment, 1? (Hint: use the MPR or IS, and I(r) equations.)

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5. What are the equilibrium values of the interest rate, r, and investment, I? (Hint:
use the MPR or IS, and I(r) equations.)
Transcribed Image Text:5. What are the equilibrium values of the interest rate, r, and investment, I? (Hint: use the MPR or IS, and I(r) equations.)
We use the following terminology in this part: aggregate income Y and disposable income
Ya (= Y –T), consumption function C(Ya), planned investment function I(r), government
spending G, and taxation T = tY where t is the marginal tax rate; r% denotes the real
interest rate in the economy. (Note, r is in percentage points, e.g. r = 2 means the interest
rate is 2%. When doing calculations, the interest rate should not simply be inserted in
decimal form. For example, if r = 2 then I(2) = 124 – 2 = 122.)
Consider a hypothetical economy where:
• C(Ya) = 12 + 0.75 × (Y – T)
• I(r) = 124 – 1 × r
• G = 120
• t = 20%
Transcribed Image Text:We use the following terminology in this part: aggregate income Y and disposable income Ya (= Y –T), consumption function C(Ya), planned investment function I(r), government spending G, and taxation T = tY where t is the marginal tax rate; r% denotes the real interest rate in the economy. (Note, r is in percentage points, e.g. r = 2 means the interest rate is 2%. When doing calculations, the interest rate should not simply be inserted in decimal form. For example, if r = 2 then I(2) = 124 – 2 = 122.) Consider a hypothetical economy where: • C(Ya) = 12 + 0.75 × (Y – T) • I(r) = 124 – 1 × r • G = 120 • t = 20%
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