标题: [CFA Level 1] 请教一个一级问题 [打印本页]
作者: victor2372 时间: 2009-3-29 10:40 标题: 请教一个一级问题
which of the following statements about covariance and correlation is least likely correct?
A. A zero covariance implies there is no linear relationship between the return on two assets
B. if two assets have perfect negative correlation, the variance of returns for a portfolio that consists of these two assets will equal zero.
敢问高人这题的B为什么是错的,correlation为-1的时候不是可以让风险变成0的吗?
作者: jysavior 时间: 2009-3-29 20:11
呵呵,B是一个容易混淆的概念。
注意, perfect negative correlation导致variance=0的情况,一定要考虑portfolio里两种assets的weight
看公式
if
perfect negative correlation
then
sigma of portfolio= w1*sigma1-w2*sigma2. Do you agree with me? Sigam is the standard deviation, square root of variance.
so, when sigma of portfolio= w1*sigma1-w2*sigma2, 它一定为0?显然不可能,只有通过适当地选择W1和W2才可能是的sigma of portfolio =0。这是个偶然的结论,不总是成立的。
作者: jysavior 时间: 2009-3-29 20:12
W1和W2就是weight
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