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比夏 · 2024年10月28日

本题中各个品种的return的均值并不是0,计算VaR为什么不用考虑均值?

NO.PZ2019042401000057

问题如下:

An investment fund uses risk budgeting as part of its risk management process. Risk is calculated and monitored using delta-normal VaR at the 99% confidence level. The fund’s total principal of EUR 100 million is invested across four asset classes comprised of European stocks, non-European stocks, European bonds, and non-European bonds. The total volatility profile of the fund is maintained at 10%. Information on the four asset classes is given below:


What is the sum of the risk budgets that should be allocated to the four asset classes?

选项:

A.

EUR 22.12 million

B.

EUR 11.64 million

C.

EUR 38.86 million

D.

EUR 100.0 million

解释:

A is correct:


B is incorrect. EUR 11.64 million is the VaR of the fund: 100 x 5% x 2.33 = 11.64

C is incorrect. EUR 38.86 million is found when volatilities are multiplied by EUR 100 million and added together.

D is incorrect. EUR 100 million is the principal amount.

如题

1 个答案

pzqa39 · 2024年10月28日

嗨,爱思考的PZer你好:


在Delta-Normal VaR方法中,假设资产的收益分布是正态分布。虽然各个资产类别的平均收益率不为0,但题目中使用的Delta-Normal VaR方法只考虑资产的波动性和分布特性。通过将资产的波动率和权重结合,得出每个资产类别的VaR贡献,进而计算整体的风险预算。

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