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momo · 2023年11月18日

four

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NO.PZ202305230100004906

问题如下:

The portfolio manager is interested in comparing the interest rate risk of Bond Three to that of Bond Four, a floating-rate note that resets every six months. On 1 June 2026, both bonds were priced to yield 5%. If the yield changes from 5% to 5.25% halfway through the first coupon period, which bond has the greater Macaulay duration?

选项:

A.

Bond Three

B.

Bond Four

C.

Neither: The Macaulay duration is the same for both bonds.

解释:

A is correct. The Macaulay duration for Bond Three is 3.6747. The Macaulay duration for Bond Four is 0.5 because there is exposure to interest rate changes for one-half of the coupon period.

bond four为什么duration是0.5

1 个答案

吴昊_品职助教 · 2023年11月19日

嗨,爱思考的PZer你好:


债券4是一个浮动利率债券,浮动利率的duration=(T-t)/T=(0.5-0.25)/0.5=0.5

其中,0.5代表的是半年付息一次,T=0.5,t代表的是距离下一个付息日还有多少日子,halfway through the first coupon period,所以还剩下六个月的一半,即三个月,所以t=0.25

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