| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. 30%. Explanation: The reserve ratio is the percentage of deposits that banks are required to hold in reserve and not lend out. If $1000 is deposited into a checking account and excess reserves increase by $700, that means the bank is required to hold $300 in reserve (1000 - 700 = 300). Therefore, the reserve ratio is 30% (300/1000). |
B |
| deepseekr1 | The question involves determining the reserve ratio when a $1000 deposit leads to a $700 increase in excess reserves. 1. **Total Reserves**: The deposit of $1000 increases the bank's total reserves by $1000. 2. **Excess Reserves Formula**: Excess Reserves = Total Reserves - Required Reserves. 3. **Given**: Excess Reserves = $700. Required Reserves = Reserve Ratio (\(r\)) × Deposit = \(1000r\). 4. **Equation**: \(700 = 1000 - 1000r\). Solving for \(r\): \(1000r = 1000 - 700\) \(1000r = 300\) \(r = 0.3\) or **30%**. Thus, the reserve ratio is **30%**, corresponding to **B**. Answer: B |
B |
| gpto1 | B | B |
| GPT-4o | B. 30%. | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. 30%. Explanation: The reserve ratio is the percentage of deposits that banks are required to hold in reserve and not lend out. If $1000 is deposited into a checking account and excess reserves increase by $700, it means that the bank is required to hold $300 in reserve (1000 - 700 = 300). Therefore, the reserve ratio is 30% (300/1000). |
B |
| DeepSeek-Coder-V2 | B. 30%. | B |
| Qwen2-72B-Instruct | B. 30%. | B |
| baichuan4 | A. 70% | B |
| doubao | B The reserve ratio is the ratio of reserves to deposits. If $1000 is deposited and excess reserves increase by $700, then the required reserves are $1000 - $700 = $300. The reserve ratio is then $300 / $1000 = 30%. |
B |
| minimax | The reserve ratio is the fraction of total deposits that a bank keeps on hand as reserves (either in its vaults or on deposit with the Federal Reserve). If $1000 is deposited into a checking account and excess reserves increase by $700, it means that the bank is required to keep a certain percentage of that $1000 as reserves, and the rest is considered excess reserves. Let's denote the reserve ratio as R. The bank must keep R * $1000 as required reserves, and the remaining (1 - R) * $1000 is excess reserves. According to the question, the excess reserves increase by $700. So we have: (1 - R) * $1000 = $700 Solving for R: 1 - R = $700 / $1000 1 - R = 0.7 R = 1 - 0.7 R = 0.3 or 30% Therefore, the reserve ratio must be 30%. Answer: B. 30%. |
B |
| kimi | To solve this question, we need to understand the concept of the reserve ratio in banking. The reserve ratio is the percentage of a bank's total deposits that must be kept as reserves and not lent out. In this case, when $1000 is deposited into a checking account, and excess reserves increase by $700, it means that the bank is holding $700 more than the required reserves. The formula to calculate the reserve ratio is: \[ \text{Reserve Ratio} = \frac{\text{Required Reserves}}{\text{Total Deposits}} \] Since the excess reserves are $700, it means that the required reserves are $1000 - $700 = $300. Now we can calculate the reserve ratio: \[ \text{Reserve Ratio} = \frac{300}{1000} = 0.30 \text{ or } 30\% \] So the correct answer is: B. 30%. |
B |
| wenxinyiyan | A. 70%. To solve this problem, you can use a simple ratio calculation. The reserve ratio is the percentage of deposits that a bank keeps as reserves (in this case, excess reserves). Given that $1000 is deposited and excess reserves increase by $700, the reserve ratio would be calculated as follows: Reserve Ratio = (Increase in Excess Reserves / Deposit) * 100% = ($700 / $1000) * 100% = 0.7 * 100% = 70% Therefore, the reserve ratio must be 70%, which corresponds to option A. |
B |
| zhipu | To determine the reserve ratio, we need to understand the relationship between the deposit, the excess reserves, and the required reserves. Given: - Total deposit = $1000 - Excess reserves = $700 The reserve ratio is the fraction of deposits that a bank must hold in reserve and not lend out. The total reserves consist of required reserves plus excess reserves. Let's denote the reserve ratio as \( r \). The required reserves can be calculated as: \[ \text{Required Reserves} = r \times \text{Total Deposit} \] Since the total reserves are the sum of required reserves and excess reserves: \[ \text{Total Reserves} = \text{Required Reserves} + \text{Excess Reserves} \] From the problem, we know: \[ \text{Total Reserves} = \text{Required Reserves} + 700 \] And: \[ \text{Required Reserves} = r \times 1000 \] So: \[ r \times 1000 + 700 = \text{Total Reserves} \] Since the total reserves are not explicitly given, we can infer that the total reserves are the amount the bank is holding back from the $1000 deposit. The key is to find \( r \) such that the excess reserves are $700. Rearranging the equation: \[ \text{Total Reserves} = r \times 1000 + 700 \] But we know that the total reserves must also equal the required reserves plus the excess reserves: \[ \text{Total Reserves} = \text{Required Reserves} + 700 \] Since the required reserves are \( r \times 1000 \): \[ \text{Total Reserves} = r \times 1000 + 700 \] To find \( r \), we need to isolate it: \[ r \times 1000 = \text{Total Reserves} - 700 \] Given that the total reserves are the sum of required reserves and excess reserves, and the excess reserves are $700: \[ \text{Required Reserves} = \text{Total Reserves} - 700 \] Since the required reserves are \( r \times 1000 \): \[ r \times 1000 = 1000 - 700 \] \[ r \times 1000 = 300 \] \[ r = \frac{300}{1000} \] \[ r = 0.3 \] So the reserve ratio \( r \) is 30%. Therefore, the correct answer is: B. 30%. |
B |
| gpto1 | B | B |