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Spring1010 · 2025年04月29日

price risk不應該是>0的嗎?

NO.PZ2023052301000047

问题如下:

Hightest Capital purchases a seven-year, 6.4% coupon bond and has an intended investment horizon of four years. The Macaulay duration of the bond is 5.86 years. If interest rates increase by 50 bps immediately after buying the bond, Hightest Capital faces:

选项:

A.

negative price risk.

B.

negative reinvestment risk.

C.

positive price risk.

解释:

A is correct. Hightest Capital’s investment horizon is four years, which is less than the bond’s Macaulay duration of 5.86 years. Therefore, price risk dominates reinvestment risk and Hightest Capital faces price risk from rising interest rates.

B is incorrect because the increase in interest rates is beneficial for coupon reinvestment. Therefore, Hightest Capital has positive reinvestment risk.

C is incorrect because Hightest Capital faces the risk that the price of the bond will fall as a result of the 50 bp increase in interest rates and therefore has negative price risk.

因為持有不到duration,所以主要受到價格影響,利率上升造成價格下跌,不是應該是正的positive risk?

我理解的是negative price risk表示沒有price risk

1 个答案

笛子_品职助教 · 2025年04月30日

嗨,从没放弃的小努力你好:


Hello,亲爱的同学~

麦考利久期=5.86,投资期为四年,因此duration gap为正,此时price risk占主导。interest rates increase by 50 bps,现在利率上升了50bp,price risk害怕的就是利率上升,所以会受到一个负面影响。

因此描述为negative price risk,理解为price risk占主导,并且受到负面影响。

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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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