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lion · 2023年05月08日

求解释

NO.PZ2020011303000068

问题如下:

Consider a position consisting of a USD 10,000 investment in asset X and a USD 20,000 investment in asset Y. Assume that the daily volatilities of X and Y are 1% and 2% and that the coefficient of correlation between their returns is 0.3. What is the five-day VaR with a 97% confidence level?

解释:

The standard deviation of the daily changes in the assets are (in USD) 100 and 400. The standard deviation of the daily change in the portfolio is (100^2+400^2+2×100×400×0.3)^0.5=440.5

The standard deviation of the five-day change is the square root of 5 multiplied by the one-day standard deviation, which is USD 984.9. The 97% VaR is 1.88 times this, which is USD 1852.4.

题目问:有一个头寸包含10,000$的资产X20,000$的资产Y,假设每日波动是1%2%,相关系数是0.3,求597%VaR?

每日波动的dollar值:X=10,000*1%=100Y=20,000*2%=400

组合每日的波动=(100^2+400^2+2×100×400×0.3)^0.5=440.5

597%VAR=440.5*(5)^0.5*1.88=1852.4

97%1.88是怎么来的求画图。。。

1 个答案

pzqa27 · 2023年05月09日

嗨,从没放弃的小努力你好:


那1.88是查表查的,肯定不是自己算的,表也附在下面供同学参考了,考试的时候会提供Z表的,不用担心

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努力的时光都是限量版,加油!

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