請益對數有關的問題 - 經濟

Table of Contents


Suppose the monthly demand for coffee is estimated as

ln(Q) = 7.5 - .1 ln(P) + .3 ln(I)

where Q is the quantity, P is the price, I is community income, and ln
denotes the natural logarithm. If price rises by 20 percent and income rises
by 10 percent, the quantity of coffee demanded will fall.

a. The above statement is true.
b. The above statement is false.
c. The above statement may be true or false.

原先第一次寫的時候沒有注意到logarithm這個字所以帶了兩組數字進去得到答案c XD
但是答案是B (表示Q應該要上升才對?) 請問這種含有ln的式子該怎麼看或者快速判讀?

感謝


--

All Comments

Ula avatarUla2013-07-09
所得彈性0.3~看係數
Ida avatarIda2013-07-11
彈性公式再看熟一點~
Zanna avatarZanna2013-07-14
dlnQ=dQ/Q,也就是代表"變動量"
Catherine avatarCatherine2013-07-18
若將題目的式子全微分,會得到:dln(Q)=-0.1dln(P)+0.3dln
Bennie avatarBennie2013-07-20
dln(Q)=-0.1dln(P)+0.3dln(I)
Daniel avatarDaniel2013-07-24
再根據題意:P變動了0.2,I變動了0.1
Poppy avatarPoppy2013-07-25
代入上式得dln(Q)=-0.1*0.2+0.3*0.1
Ula avatarUla2013-07-29
dln(Q)=0.01>0,代表Q的變動為正
Joe avatarJoe2013-07-30
也就是Q會上升
Erin avatarErin2013-08-03
只要記得dlnX代表X的變動量
Annie avatarAnnie2013-08-04
感謝