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410140980 · 2023年07月01日

mapping的本质

NO.PZ2018122701000041

问题如下:

Computing VaR on a portfolio containing a very large number of positions can be simplified by mapping these positions to a smaller number of elementary risk factors. Which of the following mappings would be adequate?

选项:

A.

USD/EUR forward contracts are mapped on the USD/JPY spot exchange rate.

B.

Each position in a corporate bond portfolio is mapped on the bond with the closest maturity among a set of government bonds.

C.

Government bonds paying regular coupons are mapped on zero-coupon government bonds.

D.

A position in the stock market index is mapped on a position in a stock within that index.

解释:

C is correct.

考点 Risk Factor

解析 Mapping government bonds paying regular coupons onto zero coupon government bonds is an adequate process, because both categories of bonds are government issued and therefore have a very similar sensitivity to risk factors. However, this is not a perfect mapping since the sensitivity of both classes of bonds to specific risk factors (i.e., changes in interest rates) may differ.

老师这道题我看了一下解析和之前同学的题目,感觉这个mapping就必须是前后两个(被mapping的投资工作和maping的投资工具)的risk factor要尽可能一致才有可能去比较好的mapping?


1 个答案
已采纳答案

李坏_品职助教 · 2023年07月01日

嗨,努力学习的PZer你好:


对,最好是所有risk factors都高度相似,这样mapping的效果最好,当然这是难以做到的。

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