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lion · 2023年04月27日

求解释

NO.PZ2016082402000054

问题如下:

A portfolio consists of two zero-coupon bonds, each with a current value of $10. The first bond has a modified duration of one year and the second has a modified duration of nine years. The yield curve is flat, and all yields are 5%. Assume all moves of the yield curve are parallel shifts. Given that the daily volatility of the yield is 1%, which of the following is the best estimate of the portfolio’s daily value at risk (VAR) at the 95% confidence level?

选项:

A.

USD 1.65

B.

USD 2.33

C.

USD 1.16

D.

USD 0.82

解释:

ANSWER: A

The dollar duration of the portfolio is 1×$10+9×$10=$100\times\$10+9\times\$10=\$100 . Multiplied by 0.01 and 1.65, this gives $1.65.

一个组合包含两个零息债券,每一个债券价格10,第一个债券的MD=1,第二个MD=9,利率全部是5%。假设利率都是平行移动,每日的波动率为1%,请问95%置信区间下的dailyVaR是多少?

VARσ*Z(0.95)=1%*1.65

95%z=1.65

组合的Dollar Duration=1*10+9*10=100

VaR=100*1.65*1%=1.65

一直想问这个平行移动涉及的计算在基础课哪一部分

1 个答案

品职答疑小助手雍 · 2023年04月28日

同学你好,在4. Risk Metrics and Hedges里讲duration的时候有讲这个假设前提的,FRM里cash flow mapping(没听说过的话二级肯定会讲)涉及的计算外,其他关于duration的计算,都是假设利率曲线平行移动的。

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