| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. decrease by $200 million. Explanation: When the FED sells government securities in an open market operation, it is essentially taking money out of the economy, which reduces the money supply. The reserve requirement is the percentage of deposits that banks must hold in reserve and not lend out. In this case, the reserve requirement is 5%, which means that for every dollar deposited, banks can lend out 95 cents. When the FED sells $10 million worth of government securities, it is taking $10 million out of the economy. This reduces the amount of money available for banks to lend, which in turn reduces the money supply. To calculate the potential decrease in the money supply, we can use the money multiplier formula: Money Multiplier = 1 / Reserve Requirement Money Multiplier = 1 / 0.05 Money Multiplier = 20 This means that for every dollar taken out of the economy, the money supply can potentially decrease by 20 times that amount. Therefore, if the FED sells $10 million worth of government securities, the money supply can potentially decrease by: $10 million x 20 = $200 million So, the correct answer is B. decrease by $200 million. |
B |
| deepseekr1 | The reserve requirement is 5%, so the money multiplier is 1/0.05 = 20. When the Fed sells $10 million of government securities, it withdraws reserves from the banking system. This reduction in reserves leads to a contraction of the money supply by the multiplier effect: $10 million × 20 = $200 million. Since the Fed’s action removes money from circulation, the money supply **decreases** by $200 million. Answer: B |
B |
| gpto1 | B | B |
| GPT-4o | B. decrease by $200 million. | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B |
B |
| DeepSeek-Coder-V2 | B. decrease by $200 million. | B |
| Qwen2-72B-Instruct | B. decrease by $200 million. When the FED sells government securities, it removes money from the banking system, decreasing bank reserves. With a reserve requirement of 5%, the money supply can contract by a multiple of the initial decrease in reserves. The money supply can potentially decrease by $200 million if the entire $10 million withdrawn from the banking system was previously being held in excess reserves and could have been lent out. The formula to calculate the potential change in the money supply is the initial change in reserves multiplied by the money multiplier, which is 1/(reserve requirement). In this case, the money multiplier is 1/0.05 = 20. Thus, the potential decrease in the money supply is $10 million * 20 = $200 million. |
B |
| baichuan4 | D | B |
| doubao | B When the Fed sells government securities in an open market operation, it withdraws money from the economy. The money multiplier is the reciprocal of the reserve requirement. In this case, the money multiplier is 1 / 0.05 = 20. So, a $10 million reduction in the monetary base can potentially lead to a $10 million * 20 = $200 million decrease in the money supply. |
B |
| minimax | B. decrease by $200 million. When the Federal Reserve sells government securities in an open market operation, it is conducting a contractionary monetary policy. This action removes money from the banking system. If the reserve requirement is five percent, the sale of $10 million in securities would lead to a decrease in the money supply by a multiple of the reserve requirement. The money multiplier is the inverse of the reserve requirement, which in this case is 1/0.05 = 20. Therefore, the $10 million taken out of the system would potentially decrease the money supply by $10 million * 20 = $200 million. |
B |
| kimi | A. increase by $200 million. Explanation: When the Federal Reserve sells government securities, it receives money from the public in exchange for the securities. This action reduces the amount of money in the public's hands. However, the question is about the potential effect on the money supply, which is influenced by the reserve requirement. The reserve requirement is the percentage of deposits that banks must hold in reserve at the Fed. In this case, it's 5%. When the Fed sells $10 million in securities, it removes $10 million from the banking system. However, this money is not just removed; it's replaced by an equivalent amount of reserves that the banks now hold. Since the reserve requirement is 5%, for every $100 in reserves, banks can lend out $95 (assuming no excess reserves). The initial $10 million in reserves can be multiplied through the money creation process (also known as the money multiplier), which is the reciprocal of the reserve requirement. The money multiplier is calculated as: \[ \text{Money Multiplier} = \frac{1}{\text{Reserve Requirement}} = \frac{1}{0.05} = 20 \] So, the initial $10 million in reserves can potentially be turned into $10 million * 20 = $200 million in money supply through the lending process. This is the potential increase in the money supply, not the actual increase, as actual lending depends on banks' willingness to lend and the demand for loans. Therefore, the correct answer is A. increase by $200 million, which represents the potential maximum increase in the money supply. |
B |
| wenxinyiyan | B. decrease by $200 million. Explanation: The reserve requirement is the percentage of deposits that a bank must hold in reserve and not lend out. In this case, it is five percent. When the FED sells government securities in an open market operation, it removes cash from the banking system (because banks or other institutions pay cash to the FED for the securities). This reduction in cash held by banks reduces their ability to make loans, which in turn reduces the money supply. The money multiplier is the inverse of the reserve requirement. In this case, the money multiplier is 1 / 0.05 = 20. This means that every dollar of reserves can potentially support $20 of money supply. If the FED sells $10 million worth of government securities, this removes $10 million from the banking system. Using the money multiplier, this can potentially reduce the money supply by $10 million * 20 = $200 million. |
B |
| zhipu | B. decrease by $200 million. When the Federal Reserve sells government securities in an open market operation, it removes money from the banking system. Given a reserve requirement of 5%, the money multiplier is 1/0.05 = 20. Therefore, selling $10 million worth of securities can potentially reduce the money supply by $10 million * 20 = $200 million. |
B |
| gpto1 | B | B |