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Ch17 Allocating Goods Over Time

ch17-allocating-goods-over-time-1.png

Interest_Model Interest_equilibrium Interest_RA Interest_Recardian_Eq

interest rate

A 是貸款人
目標:今天放款,日後收取更多錢 i.e. r > 0
B是借款人
目標:想買東西,目前錢不夠,先貸款,提早享受,之後願意付更多錢

interest rate = 現在幣值 : 未來幣值

e.g.
某沙發可用四年,對你的價值為 $100/year (in each year's stantard)
interst rate = 10%/year
if 現在賣 $100*(1+1/r+1/r**2+1/r**3) = $349 以下
則該買

interest equilibrium

ch17-allocating-goods-over-time-2.png ch17-allocating-goods-over-time-3.png ch17-allocating-goods-over-time-4.png

Repesentative Agent

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technology breakthrough

以傳統模型解釋

ch17-allocating-goods-over-time-6.png

以 Repesentative Agent 解釋

ch17-allocating-goods-over-time-7.png

Recardian Equilibrium

ch17-allocating-goods-over-time-8.png 政府不論用何種方式(稅 or 公債)籌措財源,
對市場造成的利率上漲幅度是一樣的

利率 = 你願意用多少未來的錢換取現在的錢 
i.e. 現在的錢對未來的錢的價值比
so 當現在的錢總量變少,利率就上升

HW

P6

image-20200606135157562

P8

可轉售

image-20200606135302329

P15 (You could assume a linear market demand)

image-20200606135342844

可參考看看這個 Monopoly and the Rate of Extraction of Exhaustible Resources

P20

image-20200606135419888

#5

image-20200606135441242

#6

image-20200606135515372 image-20200606135539507