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magickame · 2022年02月10日

我只想问一下根号5是怎么得来的?

NO.PZ2018122701000049

问题如下:

A portfolio consists of options on Microsoft and AT&T. The options on Microsoft have a delta of 1000, and the options on AT&T have a delta of 20000. The Microsoft share price is $120, and the AT&T share price is $30. Assuming that the daily volatility of Microsoft is 2% and the daily volatility of AT&T is 1% and the correlation between the daily changes is 0.3, the 5-day 95% VaR is

选项:

A.

26193

B.

25193

C.

27193

D.

24193

解释:

A is correct.

考点:Mapping to Option Position

解析:VaRMic= 1.65 × 2% × 120 × 1000 = 3960

VaRAT&T= 1.65 × 1% × 30 × 20000=9900

VARP(5day,95%)=39602+99002+2×0.3×3960×9900×5=26193VAR_{P(5-day,95\%)}=\sqrt{3960^2+9900^2+2\times0.3\times3960\times9900}\times\sqrt5=26193

5我理解应该是天数,但是具体套用的是哪个公式,谢谢

1 个答案

DD仔_品职助教 · 2022年02月10日

嗨,从没放弃的小努力你好:


同学你好,

是的,就是天数。

这个式子融合了两个公式:

第一个是组合var p=(var1^2+var2^2+2*var1*var2*ρ)^0.5

第二个公式是n-days var=根号下n*daily var

我们计算出来的var MIC和var AT是daily的,求出来的组合var也是daily的,答案让我们求的是5天的,所以要再乘根号下5

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努力的时光都是限量版,加油!

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