| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. expansionary 4 -3 | B |
| deepseekr1 | The government increases both spending and taxes by the same amount. The expenditure multiplier is calculated as \( \frac{1}{1 - MPC} = \frac{1}{0.25} = 4 \). The tax multiplier is \( -\frac{MPC}{1 - MPC} = -\frac{0.75}{0.25} = -3 \). Although taxes rise (contractionary), the net effect of equal spending and tax increases is expansionary because the expenditure multiplier (4) exceeds the tax multiplier's magnitude (3). Thus, the policy is **expansionary** with multipliers **4** and **-3**. Answer: **B** |
B |
| gpto1 | B | B |
| GPT-4o | B. expansionary 4 -3 | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | A nice macroeconomics question! To answer this question, let's break it down step by step: 1. The government increases government spending and taxes by the same amount to keep a balanced budget. This means that the government is not increasing the overall level of aggregate demand, as the increase in spending is offset by the increase in taxes. 2. The MPC (Marginal Propensity to Consume) is 0.75, which means that for every additional dollar of disposable income, households will spend 75 cents and save 25 cents. 3. Since the government is increasing taxes by the same amount as spending, the net effect on disposable income is zero. Therefore, there is no change in consumption or aggregate demand. 4. The expenditure multiplier (k) is the ratio of the change in equilibrium GDP to the change in autonomous spending. Since there is no change in aggregate demand, the expenditure multiplier is not relevant in this case. 5. The tax multiplier (t) is the ratio of the change in equilibrium GDP to the change in taxes. Since the increase in taxes is offset by the increase in spending, the tax multiplier is also not relevant in this case. Now, let's look at the answer choices: A. Expansionary | 4 | 3: Incorrect, as there is no increase in aggregate demand. B. Expansionary | 4 | -3: Incorrect, as there is no increase in aggregate demand, and the tax multiplier is not relevant. C. Contractionary | 4 | 3: Incorrect, as there is no decrease in aggregate demand. D. Contractionary | 4 | -3: Correct! Since there is no change in aggregate demand, the policy is contractionary (i.e., it has no effect on the economy). The expenditure multiplier and tax multiplier are not relevant in this case. Therefore, the correct answer is: D. contractionary | 4 | -3 |
B |
| DeepSeek-Coder-V2 | B | B |
| Qwen2-72B-Instruct | B. expansionary 4 -3 | B |
| baichuan4 | D | B |
| doubao | B The expenditure multiplier is 1 / (1 - MPC) = 1 / (1 - 0.75) = 4. The tax multiplier is -MPC / (1 - MPC) = -0.75 / (1 - 0.75) = -3. Increasing government spending by a certain amount has an expansionary effect, but increasing taxes by the same amount has a contractionary effect. Since the magnitudes of the multipliers are different, the overall effect is expansionary. |
B |
| minimax | B. expansionary 4 -3 When the government increases spending by the same amount it increases taxes, the net effect on aggregate demand depends on the relative strengths of the expenditure multiplier and the tax multiplier. The expenditure multiplier is positive and greater than 1 because an increase in government spending directly increases aggregate demand. The tax multiplier is negative because an increase in taxes decreases disposable income and thus decreases consumption, which in turn decreases aggregate demand. Given that the MPC (Marginal Propensity to Consume) is 0.75, the expenditure multiplier (k) can be calculated using the formula: k = 1 / (1 - MPC) Plugging in the MPC of 0.75: k = 1 / (1 - 0.75) = 1 / 0.25 = 4 The tax multiplier (t) is calculated using the formula: t = -MPC / (1 - MPC) t = -0.75 / (1 - 0.75) = -0.75 / 0.25 = -3 Since the expenditure multiplier (4) is greater than the absolute value of the tax multiplier (3), the net effect of the policy is expansionary. Therefore, the correct answer is B. |
B |
| kimi | B. expansionary 4 -3 Explanation: - The government is increasing both spending and taxes by the same amount, which means the budget remains balanced. - The MPC (Marginal Propensity to Consume) is 0.75, which means that for every extra dollar of income, consumers will spend 75 cents of it. - The expenditure multiplier is calculated as 1 / (1 - MPC). So, the expenditure multiplier is 1 / (1 - 0.75) = 4. - The tax multiplier is the negative of the expenditure multiplier because an increase in taxes reduces disposable income and thus spending. So, the tax multiplier is -4. - Since the government is increasing spending, this is an expansionary policy, even though taxes are also increasing. The net effect on the economy depends on the relative sizes of the spending and tax increases, but since they are equal, the multipliers are applied to the same amount. Therefore, the correct answer is B, which indicates that the policy is expansionary, the expenditure multiplier is 4, and the tax multiplier is -3. |
B |
| wenxinyiyan | B Explanation: 1. Policy Direction: * When the government increases both spending and taxes by the same amount, the initial impact on the economy is expansionary due to the increase in government spending. This is because government spending directly adds to aggregate demand. 2. Expenditure Multiplier: * The expenditure multiplier (also known as the government spending multiplier) measures the change in equilibrium output caused by a change in government spending. * It is calculated as 1 / (1 - MPC), where MPC is the marginal propensity to consume. * Given MPC = 0.75, the expenditure multiplier is 1 / (1 - 0.75) = 1 / 0.25 = 4. 3. Tax Multiplier: * The tax multiplier measures the change in equilibrium output caused by a change in taxes. * It is calculated as -MPC / (1 - MPC). * Given MPC = 0.75, the tax multiplier is -0.75 / (1 - 0.75) = -0.75 / 0.25 = -3. Therefore, the correct answer is B: expansionary policy with an expenditure multiplier of 4 and a tax multiplier of -3. |
B |
| zhipu | The correct answer is B. Here's the reasoning: 1. **Policy Direction**: - An increase in government spending is typically expansionary because it directly increases aggregate demand. - An increase in taxes is typically contractionary because it reduces disposable income and thus reduces consumption. - However, the government is increasing both spending and taxes by the same amount to maintain a balanced budget. The net effect on aggregate demand depends on the relative magnitudes of the government spending multiplier and the tax multiplier. 2. **Expenditure Multiplier**: - The expenditure multiplier is calculated using the formula \( \frac{1}{1 - MPC} \). - Given MPC = 0.75, the expenditure multiplier is \( \frac{1}{1 - 0.75} = 4 \). 3. **Tax Multiplier**: - The tax multiplier is calculated using the formula \( -\frac{MPC}{1 - MPC} \). - Given MPC = 0.75, the tax multiplier is \( -\frac{0.75}{1 - 0.75} = -3 \). Since the expenditure multiplier (4) is larger in magnitude than the tax multiplier (-3), the net effect of increasing both government spending and taxes by the same amount is expansionary. Thus, the correct choice is: B. expansionary 4 -3 |
B |
| gpto1 | B | B |