备考FRM考试中,做大量的练习题对于考生来说是很重要的,下文是对VAR的例题解析,一起随融跃小编了解一下!希望对备考的你有所帮助!

On December 31, 2006, PortfolioAhad a market value of $2,520,000. The historical standard deviation of daily returns was 1.7%. Assuming that Portfolio A is normally distributed, calculate the daily VAR(2.5%) on a dollar basis and state its interpretation. Daily VAR(2.5%) is equal to:

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A) $83,966, implying that daily portfolio losses will fall short of this amount 2.5% of the time.

B) $70,686, implying that daily portfolio losses will only exceed this amount 2.5% of the time.

C) $83,966, implying that daily portfolio losses will only exceed this amount 2.5% of the time.

D) $70,686, implying that daily portfolio losses will fall short of this amount 2.5% of the time.

答案:C

解析:VAR(2.5%)Percentage Basis = z2.5% × σ = 1.96(0.017) = 0.03332 = 3.332%.

VAR(2.5%)Dollar Basis = VAR(2.5%)Percentage Basis × portfolio value = 0.03332 ×$2,520,000= $83,966.

The appropriate interpretation is that on any given day, there is a 2.5% chance that the portfolio will experience a loss greater than $83,996.Alternatively, we can state that there is a 97.5% chance that on any given day, the observed loss will be less than $83,996.

2006年12月31日,投资组合的市值为2520000美元。日收益率的历史标准差为1.7%。假设投资组合A为正态分布,以美元为基础计算每日VAR(2.5%),并说明其解释。日VAR(2.5%)等于:》》》点我咨询FRM职业发展前景

A) 83966美元,意味着每日投资组合损失将低于这一数额的2.5%。

B) 70686美元,意味着每天的投资组合损失只会超过这个数额的2.5%。

C) 83966美元,意味着每天的投资组合损失只会超过这一数额的2.5%。

D) 70686美元,意味着每日投资组合损失将低于这一数额的2.5%。

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答案解析:

VAR(2.5%)百分比基础=z2.5%×σ=1.96(0.017)=0.03332=3.332%。

VAR(2.5%)美元基础=VAR(2.5%)百分比基础×投资组合价值=0.03332×2520000美元=83966美元。

适当的解释是,在任何一天,投资组合遭受损失的概率为2.5%,大于83996美元。或者,我们可以说,在任何一天,观察到的损失小于83996美元的概率为97.5%。

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