GWD数学

Xiaotongdi · 发表于 2011-4-5 10:50:42

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m.By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?

A.k/m %
B.(k-m) %
C.[100(k-m)]/(100+k) %
D.[100(k-m)]/(100+m) %
E.[100(k-m)]/(100+k+m) %
答案是D，何解？

fanxinchao · 发表于 2011-4-5 11:04:58

price增加k%的话利润增加m%，所以设price为x,price=x(1+k%-(1+m%))=x(k%-m%),earning=x(1+m%)，好像是这么理解的

fanxinchao · 发表于 2011-4-5 11:12:51

又仔细想了想，貌似我的解释很牵强……仅供参考了

Xiaotongdi · 发表于 2011-4-5 11:17:58

(1+k%-(1+m%))，为什么要减那一块？

sdcar2010 · 发表于 2011-4-5 11:39:22

Category 2009 2010
price p (100+k)% * p
earning e (100+m)% * e
p/e p/e [(100+k)/(100+m)] * [p/e]

percentage increase in p/e ratio = 100% * {[(100+k)/(100+m)] * [p/e] - [p/e]} / [p/e]
= 100%* [(100+k)/(100+m) - 1]
= 100% * [(k-m)/(100+m)]

Xiaotongdi · 发表于 2011-4-5 12:26:42

很好，明白了！原来是没读懂，是P/E的增长率！

GWD数学

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