写一段Python的代码,表示丁伯根宏观经济模型
时间: 2024-09-25 20:04:13 浏览: 66
丁伯根宏观经济模型(Tobin's q Model)是一种经典的资本积累理论模型,它考虑了企业和投资者如何决策投资与储蓄的问题,其中q是一个重要的概念,代表资本存量与市场价值的比例。以下是一个简单的Python代码示例,展示了一个基本的丁伯根模型框架:
```python
import numpy as np
class TobinModel:
def __init__(self, initial_capital, investment_rate, discount_rate, market_value):
self.capital = initial_capital
self.investment_rate = investment_rate
self.discount_rate = discount_rate
self.market_value = market_value
def update(self):
new_investment = self.investment_rate * self.capital
new_market_value = self.capital + new_investment
q = new_market_value / self.capital
# 更新资本存量
self.capital += new_investment - (self.discount_rate * self.capital)
return q
# 使用示例
initial_capital = 10000
investment_rate = 0.15
discount_rate = 0.05
market_value_ratio = 1.2 # 假设市场给予的资本价值溢价
model = TobinModel(initial_capital, investment_rate, discount_rate, market_value_ratio)
for _ in range(10): # 模拟10期
q = model.update()
print(f"第{__}期,资本存量q={q}")
#
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