开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

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。

  • 1

    回答
  • 0

    关注
  • 225

    浏览
相关问题

NO.PZ2016082402000054 问题如下 A portfolio consists of two zero-coupon bon, eawith a current value of $10. The first bonha mofieration of one yeanthe seconha mofieration of nine years. The yielcurve is flat, anall yiel are 5%. Assume all moves of the yielcurve are parallel shifts. Given ththe ily volatility of the yielis 1%, whiof the following is the best estimate of the portfolio’s ily value risk (VAR) the 95% confinlevel? US1.65 US2.33 US1.16 US0.82 ANSWER: AThe llration of the portfolio is 1×$10+9×$10=$100\times\$10+9\times\$10=\$100×$10+9×$10=$100 . Multiplie0.01 an1.65, 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M1,第二个M9,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ilyVaR是多少?%VAR=σ*Z(0.95)=1%*1.6595%时z=1.65组合的llration=1*10+9*10=100VaR=100*1.65*1%=1.65 助教你好这题把ration和VaR结合起来之后让我不知从何下手。我首先想到llVaR这个式子,z=1.65,sigma=0.01,asset value=20,可是这样算的话就没答案。题干给出了两只债券各自的ration,要怎么用上这个条件?我还看见这同学问到了讲义上没有的llration https://class.pzacamy.com/qa/97506。所以我想了解,拿到这道题之后,我首先该往哪个方向去思考?谢谢。

2023-07-25 18:18 1 · 回答

NO.PZ2016082402000054问题如下 A portfolio consists of two zero-coupon bon, eawith a current value of $10. The first bonha mofieration of one yeanthe seconha mofieration of nine years. The yielcurve is flat, anall yiel are 5%. Assume all moves of the yielcurve are parallel shifts. Given ththe ily volatility of the yielis 1%, whiof the following is the best estimate of the portfolio’s ily value risk (VAR) the 95% confinlevel? US1.65 US2.33 US1.16 US0.82 ANSWER: AThe llration of the portfolio is 1×$10+9×$10=$100\times\$10+9\times\$10=\$100×$10+9×$10=$100 . Multiplie0.01 an1.65, 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M1,第二个M9,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ilyVaR是多少?%VAR=σ*Z(0.95)=1%*1.6595%时z=1.65组合的llration=1*10+9*10=100VaR=100*1.65*1%=1.65 老师,为什么要乘以llvalue,而不是乘以各自的value10?

2023-04-28 11:58 2 · 回答

NO.PZ2016082402000054问题如下 A portfolio consists of two zero-coupon bon, eawith a current value of $10. The first bonha mofieration of one yeanthe seconha mofieration of nine years. The yielcurve is flat, anall yiel are 5%. Assume all moves of the yielcurve are parallel shifts. Given ththe ily volatility of the yielis 1%, whiof the following is the best estimate of the portfolio’s ily value risk (VAR) the 95% confinlevel? US1.65 US2.33 US1.16 US0.82 ANSWER: AThe llration of the portfolio is 1×$10+9×$10=$100\times\$10+9\times\$10=\$100×$10+9×$10=$100 . Multiplie0.01 an1.65, 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M1,第二个M9,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ilyVaR是多少?%VAR=σ*Z(0.95)=1%*1.6595%时z=1.65组合的llration=1*10+9*10=100VaR=100*1.65*1%=1.65 ​平均ration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。。。

2023-04-27 16:09 1 · 回答

NO.PZ2016082402000054问题如下 A portfolio consists of two zero-coupon bon, eawith a current value of $10. The first bonha mofieration of one yeanthe seconha mofieration of nine years. The yielcurve is flat, anall yiel are 5%. Assume all moves of the yielcurve are parallel shifts. Given ththe ily volatility of the yielis 1%, whiof the following is the best estimate of the portfolio’s ily value risk (VAR) the 95% confinlevel? US1.65 US2.33 US1.16 US0.82 ANSWER: AThe llration of the portfolio is 1×$10+9×$10=$100\times\$10+9\times\$10=\$100×$10+9×$10=$100 . Multiplie0.01 an1.65, this gives $1.65.讲义中提到的都是ration和01,一个是%的概念,一个是llar的概念,但是没有提到过llration,所以llration就是ration*market value?

2022-04-05 17:43 1 · 回答