| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. 25% $750 M = 4 Explanation: * Reserve ratio = Required reserves / Total deposits = $250 / $1000 = 0.25 or 25% * Excess reserves = Total deposits - Required reserves = $1000 - $250 = $750 * Money multiplier (M) = 1 / Reserve ratio = 1 / 0.25 = 4 Therefore, the correct answer is C. 25% $750 M = 4. |
C |
| deepseekr1 | The reserve ratio is calculated as required reserves divided by total deposits: $250 / $1000 = 25%. The money multiplier is the reciprocal of the reserve ratio: 1 / 0.25 = 4. Excess reserves depend on the bank's total reserves. If the bank holds $1000 in reserves (matching its deposits), excess reserves would be total reserves ($1000) minus required reserves ($250) = $750. Though holding 100% reserves is atypical, this assumption aligns with the provided answer options. **Answer: C** |
C |
| gpto1 | C | C |
| GPT-4o | Answer: C | C |
| llama3.1-70B-Instruct | The correct answer is C. 25% $750 M = 4. Explanation: * The reserve ratio is the percentage of deposits that the bank is required to hold in reserve. In this case, the bank is required to reserve $250 out of $1000 in checking deposits, so the reserve ratio is 25% ($250 ÷ $1000). * The excess reserves are the amount of deposits that the bank has above the required reserve amount. In this case, the bank has $1000 in checking deposits and is required to reserve $250, so the excess reserves are $750 ($1000 - $250). * The money multiplier (M) is the reciprocal of the reserve ratio. In this case, the reserve ratio is 25%, so the money multiplier is 4 (1 ÷ 0.25). |
C |
| llama3.1-405B-Instruct | C. 25% $750 M = 4 Explanation: * Reserve ratio = Required reserves / Total deposits = $250 / $1000 = 0.25 or 25% * Excess reserves = Total deposits - Required reserves = $1000 - $250 = $750 * Money multiplier (M) = 1 / Reserve ratio = 1 / 0.25 = 4 Therefore, the correct answer is C. 25% $750 M = 4. |
C |
| DeepSeek-Coder-V2 | C. 25% $750 M = 4 | C |
| Qwen2-72B-Instruct | C. 25% $750 M = 4 | C |
| baichuan4 | A. 25% $750 M = ¼ | C |
| doubao | C The reserve ratio is the required reserve divided by the deposit amount, so 250/1000 = 25%. The excess reserve is the deposit amount minus the required reserve, so 1000 - 250 = 750. The money multiplier is 1/reserve ratio, so 1/0.25 = 4. |
C |
| minimax | The reserve ratio is the fraction of total deposits that a bank keeps on hand as reserves (either in its vault or on deposit with the Federal Reserve). In this case, the bank is required to reserve $250 out of $1000 in checking deposits. Reserve Ratio = Required Reserves / Total Deposits Reserve Ratio = $250 / $1000 Reserve Ratio = 0.25 or 25% The bank has excess reserves when it holds more than the required minimum. Since the bank has $250 in required reserves and $1000 in total deposits, the excess reserves would be the difference between the total deposits and the required reserves. Excess Reserves = Total Deposits - Required Reserves Excess Reserves = $1000 - $250 Excess Reserves = $750 The money multiplier (M) is the inverse of the reserve ratio. It indicates how much the money supply can increase for each dollar of reserves. The formula for the money multiplier is: Money Multiplier (M) = 1 / Reserve Ratio So, if the reserve ratio is 25% or 0.25, the money multiplier would be: Money Multiplier (M) = 1 / 0.25 Money Multiplier (M) = 4 Therefore, the correct answer is: C. 25% $750 M = 4 |
C |
| kimi | To answer this question, let's break down the information provided and the concepts involved: 1. **Reserve Ratio**: This is the percentage of a bank's total deposits that it is required to hold as reserves. It is calculated by dividing the required reserves by the total deposits. 2. **Excess Reserves**: This is the amount by which a bank's actual reserves exceed the required reserves. 3. **Money Multiplier**: This is the factor by which the money supply can be expanded through the banking system. It is calculated as 1 divided by the reserve ratio. Given: - Total deposits = $1000 - Required reserves = $250 **Step 1: Calculate the Reserve Ratio** \[ \text{Reserve Ratio} = \frac{\text{Required Reserves}}{\text{Total Deposits}} = \frac{250}{1000} = 0.25 \text{ or } 25\% \] **Step 2: Calculate Excess Reserves** Since the question doesn't provide the actual reserves, we can't calculate excess reserves directly. However, if we assume that the bank only holds the required reserves, then there would be no excess reserves. **Step 3: Calculate the Money Multiplier** \[ \text{Money Multiplier} = \frac{1}{\text{Reserve Ratio}} = \frac{1}{0.25} = 4 \] Now, let's match these calculations with the given options: - Reserve Ratio: 25% - Excess Reserves: We cannot determine this from the given information, but if we assume no excess reserves, it would be $0. - Money Multiplier: 4 The correct answer should reflect a 25% reserve ratio and a money multiplier of 4. However, none of the options exactly match this because they all include an incorrect amount for excess reserves. But if we ignore the excess reserves and focus on the reserve ratio and money multiplier, the closest answer is: C. 25% $750 M = 4 This answer is incorrect regarding the excess reserves, but it correctly identifies the reserve ratio and the money multiplier. If we had to choose from the given options, C would be the best choice, but with the understanding that the excess reserves part is not correct. |
C |
| wenxinyiyan | C. 25% $750 M = 4 Explanation: 1. Reserve Ratio: The reserve ratio is the percentage of deposits that a bank must hold as reserves and not lend out. In this case, the bank has $1000 in checking deposits and is required to reserve $250. Reserve Ratio = (Required Reserves / Total Deposits) * 100 Reserve Ratio = ($250 / $1000) * 100 = 25% 2. Excess Reserves: Excess reserves are the reserves held by a bank that are in excess of the required reserves. Excess Reserves = Total Reserves - Required Reserves Since the question does not mention any additional reserves apart from the required reserves, we can assume that the bank only has the required reserves of $250. However, this is a tricky part of the question because we need to calculate the excess reserves based on the total deposits of $1000. Excess Reserves = Total Deposits - Required Reserves Excess Reserves = $1000 - $250 = $750 Note: This $750 is not additional cash that the bank has but rather represents the amount of deposits that the bank can lend out (since only $250 is required to be kept as reserves). 3. Money Multiplier: The money multiplier is the ratio of the total amount of money in the economy (including deposits in banks and currency in circulation) to the amount of base money (currency in circulation and banks' reserves with the central bank). In a simplified model, it is the reciprocal of the reserve ratio. Money Multiplier = 1 / Reserve Ratio Money Multiplier = 1 / 0.25 = 4 Therefore, the answer is C: 25% $750 M = 4 |
C |
| zhipu | To answer this question, let's break it down into the three parts: 1. **Reserve Ratio:** The reserve ratio is the fraction of deposits that a bank must keep in reserve. Given that the bank has $1000 in checking deposits and is required to reserve $250: \[ \text{Reserve Ratio} = \frac{\text{Reserves}}{\text{Deposits}} = \frac{250}{1000} = 0.25 \text{ or } 25\% \] 2. **Excess Reserves:** Excess reserves are the reserves held above the required amount. The bank's total reserves are $250, and the required reserves are also $250. Thus, there are no excess reserves: \[ \text{Excess Reserves} = \text{Total Reserves} - \text{Required Reserves} = 250 - 250 = 0 \] However, if the question asks how much money is available for lending (which seems to be the implied question for excess reserves here), it would be: \[ \text{Available for Lending} = \text{Total Deposits} - \text{Required Reserves} = 1000 - 250 = 750 \] 3. **Money Multiplier:** The money multiplier is the inverse of the reserve ratio: \[ \text{Money Multiplier} = \frac{1}{\text{Reserve Ratio}} = \frac{1}{0.25} = 4 \] Now let's match these calculations with the options provided: - **Option A: 25% $750 M = ¼** - Reserve Ratio: 25% (Correct) - Excess Reserves: $750 (Incorrect, as it should be $0) - Money Multiplier: ¼ (Incorrect, it should be 4) - **Option B: 75% $250 M = 4** - Reserve Ratio: 75% (Incorrect) - Excess Reserves: $250 (Incorrect) - Money Multiplier: 4 (Correct) - **Option C: 25% $750 M = 4** - Reserve Ratio: 25% (Correct) - Excess Reserves: $750 (Incorrect) - Money Multiplier: 4 (Correct) - **Option D: 75% $750 M = ¼** - Reserve Ratio: 75% (Incorrect) - Excess Reserves: $750 (Incorrect) - Money Multiplier: ¼ (Incorrect) Given the closest correct interpretation of the excess reserves (if we consider it as the amount available for lending), the best fit is: **Option C: 25% $750 M = 4** Thus, the answer is: **C** |
C |
| gpto1 | C | C |