题目
A risk manager gathers five years of historical returns to calculate the Kendall τ correlation coefficient for stocks X and Y. The stock returns for X and Y from 2010 to 2014 are as follows:「huixue_img/importSubject/1564169387240460288.png」What is the Kendall τ correlation coefficient for the stock returns of X and Y?
选项
A.-0.3
B.-0.2
C.-0.6
D.0.4
答案
C
解析
The following table provides the ranking of pairs with respect to X.「huixue_img/importSubject/1564169387274014720.png」There are two concordant pairs and eight discordant pairs shown as follows: Concordant Pairs{(3,1), (4,3)}; {(3,1), (5,2)}Discordant Pairs{(1,5), (2,4)};{(1,5), (3,1)};{(1,5), (4,3)};{(1,5), (5,2)};{(2,4), (3,1)};{(2,4), (4,3)};{(2,4), (5,2)};{(4,3), (5,2)}Thus, the Kendall τ correlation coefficient is -0.2「huixue_img/importSubject/1564169387311763456.png」