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Joanne🍒 · 2023年05月04日

计算Var

No.PZ2016082402000054 (选择题)

来源:

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?


这个题目给的答案是:


VaR= Z*Sigma*Value*Duration=1.65*1%*(10*1+10*9)=1.65

我不是很明白为什么要计算Duration进去。


Var的公式不就是z*sigma*value吗?请老师帮忙解答一下,谢谢。



1 个答案

pzqa27 · 2023年05月04日

嗨,努力学习的PZer你好:


VaR的本质是衡量变化量的情况的,因此对于fixed income的产品来说,daily change的线性变化是用duration来衡量的,因此需要乘上duration

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努力的时光都是限量版,加油!

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