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洪铭泉 · 2024年05月17日

Macaulay -investment horizon >0 prick risk 上升,所以是negative吗?

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.

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:

1 个答案

吴昊_品职助教 · 2024年05月17日

嗨,爱思考的PZer你好:


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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