Asset Market - 經濟

※ 引述《baimoo (大腸)》之銘言：
: 學校:暨南大學
: 教師:賴法才
: 科目:microeconomics
: 題目:Asset Market
: You buy a painting for $1280. its market value will rise by $80 per year
: for the next 30 years. It is worth $80 a year to you to have it hanging on
: the wall. The interest rate is 10%. In how many years will you sell it?
: A.30
: B.Immediately
: c.8
: d.4
: e.5

這一題跟4102篇的題目類似
1.買畫的成本現值為1280
2.在第N年把畫賣掉的收益現值為(1280+80N)*D^N where D=1/(1+R)
3.在這N年裡，把畫掛在牆上對你的價值現值為80*D+80*D^2+...+80*D^N

所以在第N年把畫賣出的淨價值為 (2)+(3)-(1)

當N介於4-5之間時，淨價值達到最大，所以答案應該是d




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