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曼妙游离lyy · 2020年02月24日

问一道题:NO.PZ2015121802000027 [ CFA I ]

问题如下:

Calculate the portfolio's standard deviation according to the data in the following table:

选项:

A.

12.78%

B.

10.92%

C.

8.67%

解释:

C is correct.

Correct answer:

l(0.30)2(0.10)2+(0.70)2(0.15)2+2(0.30)(0.70)(0.10)(0.15)(0.70)=0.0009+0.0110250.00441=0.007515=0.0867=8.67%{l}\sqrt {{{(0.30)}^2}{{(0.10)}^2} + {{(0.70)}^2}{{(0.15)}^2} + 2(0.30)(0.70)(0.10)(0.15)(-0.70)} = \\\sqrt {0.0009 + 0.011025 - 0.00441} = \sqrt {0.007515} = 0.0867 = 8.67\%

Incorrect answer:

l(0.30)2(0.10)2+(0.70)2(0.15)2+2(0.30)(0.70)(0.10)(0.15)(0.70)=0.0009+0.011025+0.00441=0.016335=0.1278=12.78%{l}\sqrt {{{(0.30)}^2}{{(0.10)}^2} + {{(0.70)}^2}{{(0.15)}^2} + 2(0.30)(0.70)(0.10)(0.15)(0.70)} = \\\sqrt {0.0009 + 0.011025 + 0.00441} = \sqrt {0.016335} = 0.1278 = 12.78\%

l(0.30)2(0.10)2+(0.70)2(0.15)2=0.0009+0.011025=0.011925=0.1092=10.92%{l}\sqrt {{{(0.30)}^2}{{(0.10)}^2} + {{(0.70)}^2}{{(0.15)}^2}} = \\\sqrt {0.0009 + 0.011025} = \sqrt {0.011925} = 0.1092 = 10.92\%

请问计算错在哪里?得到的是12.78
1 个答案

丹丹_品职答疑助手 · 2020年02月24日

同学您好,根据题干,correlation coefficient是-0.7,请知悉