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偶偶子 · 2023年09月12日

D的计算公式

NO.PZ2022062761000027

问题如下:

A portfolio manager uses a valuation model to estimate the value of a bond portfolio at USD 125.00 million. The term structure is flat. Using the same model, the portfolio manager estimates that the value of the portfolio would increase to USD 127.70 million if all interest rates fall by 20 bps and would decrease to USD 122.20 million if all interest rates rise by 20 bps. Using these estimates, which of the following is the effective duration of the bond portfolio closest to?

选项:

A.

5.5

B.

11

C.

22

D.

44

解释:

中文解析:

duration的计算,过程如下:


选B

Duration is the approximate percentage change in price for every 100 bp change in rates. The calculation follows:


A is incorrect. 5.5 is the result of using switching the prices of USD 122.20 and USD 125.00 in the formula.

C is incorrect. 22 is the result when the “2” multiple in the denominator is not applied.

D is incorrect. 44 is the result obtained if the “2” multiple is applied to the numerator instead of the denominator.

老师好,请问这里为什么不用d=v_+v+ -2v/y²✖️v,这个公式?

1 个答案

李坏_品职助教 · 2023年09月12日

嗨,从没放弃的小努力你好:


本题让我们求effective duration,参考基础班讲义的公式:

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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