| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. $4,500 Explanation: When a new customer deposits $500, the bank is required to hold 10% of that amount in reserve, which is $50. The remaining $450 can be lent out to other customers. As the money is lent out, it is deposited into other banks, which also hold 10% in reserve and lend out the remaining 90%. This process continues, creating new money through the money multiplier effect. The money multiplier formula is: Money Multiplier = 1 / Reserve Ratio Money Multiplier = 1 / 0.10 Money Multiplier = 10 The maximum amount of money created is the initial deposit multiplied by the money multiplier: Maximum Money Created = Initial Deposit x Money Multiplier Maximum Money Created = $500 x 10 Maximum Money Created = $5,000 However, the question asks for the maximum amount of money created, excluding the initial deposit. Therefore, the correct answer is: Maximum Money Created = $5,000 - $500 Maximum Money Created = $4,500 So, the correct answer is B. $4,500. |
B |
| deepseekr1 | B. $4,500 The reserve ratio of 10% means the bank keeps $50 (10% of $500) as reserves and can loan out $450. The money multiplier (1/reserve ratio) is 10, so the maximum money created through lending is $450 × 10 = $4,500. This represents the new money generated by the banking system, excluding the initial deposit. Thus, the answer is **B**. |
B |
| gpto1 | B | B |
| GPT-4o | B. $4,500 | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. $4,500 Explanation: When a new customer deposits $500, the bank is required to hold 10% of that amount in reserve, which is $50. The remaining $450 can be lent out to other customers. As the money is lent out, it is deposited into other banks, which also hold 10% in reserve and lend out the remaining 90%. This process continues, creating new money through the money multiplier effect. The money multiplier formula is: Money Multiplier = 1 / Reserve Ratio Money Multiplier = 1 / 0.10 Money Multiplier = 10 The maximum amount of money created is the initial deposit multiplied by the money multiplier: Maximum Money Created = Initial Deposit x Money Multiplier Maximum Money Created = $500 x 10 Maximum Money Created = $5,000 However, the question asks for the maximum amount of money created, excluding the initial deposit. Therefore, the correct answer is: Maximum Money Created = $5,000 - $500 Maximum Money Created = $4,500 So, the correct answer is B. $4,500. |
B |
| DeepSeek-Coder-V2 | B. $4,500 | B |
| Qwen2-72B-Instruct | B. $4,500 | B |
| baichuan4 | B. $4,500 | B |
| doubao | C The money multiplier is 1/reserve ratio = 1/0.1 = 10. The initial deposit of $500 can create a total of $500 * 10 = $5000 in new money. |
B |
| minimax | B. $4,500 The maximum amount of money that can be created through the banking system is determined by the reserve ratio. If the reserve ratio is 10 percent, banks are required to keep 10 percent of deposits as reserves and can lend out the remaining 90 percent. When a new customer deposits $500, the bank can lend out $450 (90% of $500). This $450, when deposited into another bank, can be loaned out again, minus the reserve requirement, and so on, until the entire $500 has been loaned out in increments of 90 percent. The total amount of money created would be the initial deposit ($500) divided by the reserve ratio (10%), which equals $5,000. However, since the bank can only lend out $450 initially, the maximum amount of money created in the system would be $500 (initial deposit) + $450 (first round of loans) + $405 (second round of loans, 90% of $450) + ... and so on, until the $500 has been fully loaned out. The sum of this infinite geometric series is $5,000, but the maximum amount that can be loaned out in any single round is $4,500. |
B |
| kimi | B. $4,500 | B |
| wenxinyiyan | C. $5,000 Explanation: The reserve ratio is the percentage of deposits that a bank must keep as reserves and cannot lend out. In this case, the reserve ratio is 10%, which means that the bank can lend out 90% of any new deposits. When a new customer deposits $500, the bank keeps $50 (10% of $500) as reserves and can lend out the remaining $450. However, when this $450 is lent out and spent, it eventually gets deposited in another bank, which can then lend out 90% of that amount, and so on. This process is known as the money multiplier effect, and it continues until the maximum amount of money is created in the economy. To calculate the maximum amount of money created, you use the following formula: Maximum money created = Initial deposit / Reserve ratio In this case: Maximum money created = $500 / 0.10 = $5,000 So, the maximum amount of money created is $5,000. |
B |
| zhipu | The reserve ratio is the fraction of deposits that a bank is required to keep in reserve and not lend out. In this case, the reserve ratio is 10 percent (or 0.10). To find the maximum amount of money created from a new deposit, we can use the money multiplier formula: \[ \text{Money Multiplier} = \frac{1}{\text{Reserve Ratio}} \] Given the reserve ratio is 10 percent (0.10): \[ \text{Money Multiplier} = \frac{1}{0.10} = 10 \] The maximum amount of money created is then the initial deposit multiplied by the money multiplier: \[ \text{Maximum Money Created} = \text{Initial Deposit} \times \text{Money Multiplier} \] \[ \text{Maximum Money Created} = \$500 \times 10 = \$5,000 \] However, this $5,000 includes the original $500 deposit. To find the new money created, we subtract the original deposit: \[ \text{New Money Created} = \$5,000 - \$500 = \$4,500 \] So, the correct answer is: B. $4,500 |
B |
| gpto1 | B | B |