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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

平均duration是(1*10+9*10)/20=5 请问这个是在讲义的哪一页有讲到?完全不记得了。。。

1 个答案

DD仔_品职助教 · 2023年04月28日

嗨,从没放弃的小努力你好:


同学你好,

这不就是组合求duration吗。。。

组合duration=权重*各自duration再加总,你写的只不过是把权重提出来了,(1*10+9*10)/20=1*10/20+9*10/20,10/20是权重,1和9是duration。

----------------------------------------------
努力的时光都是限量版,加油!

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