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Nicole Xiang · 2025年01月03日

你好请问

NO.PZ2023120801000066

问题如下:

An investor purchases an eight-year, 6.4% annual coupon eurobond priced at par and sells it after six years. Assuming interest rates rise by 100 bps immediately after purchase, the investor’s rate of return at the end of six years is:

选项:

A.

lower than 6.4%

B.

equal to 6.4%

C.

higher than 6.4%

解释:

Correct Answer: A

The future value of reinvested coupon interest is:

N=6, PV=0, PMT=6.4, I/Y=7.4, CPT→FV=46.245

The sale price of the bond at the end of six years is:

N=2, FV=100, PMT=6.4, I/Y=7.4, CPT→PV=98.202

which results in a six-year horizon yield of 6.32%, which is lower than 6.40%:


这道题目的计算方法能够掌握,此外我还想请问一下如果定性分析的话,怎么分析不通呢?


1,当利率上升100bps的时候, reinvestment 占优势,所以第六年的时候买出total revenue 应该大于 利率没有变化时候的reveune 对吗?

2, pv0*(1+r)6次方=total revenue(大于利率没有变化时候的re venue)

3, 这样应该推出来r 要比6.4%大才合理呢?


1 个答案

笛子_品职助教 · 2025年01月04日

嗨,努力学习的PZer你好:


Hello,亲爱的同学~

债券期限是8年,第6年卖出。

既然是提前卖出,自然是债券价格上涨,更有优势。而不是 reinvestment占优势。

而债券价格上涨,对应利率下降,而不是上升。


因此,如果持有到期收益率是6.4%。

现在价格跌了,还要卖掉,低价卖,自然收益率会低于6.4%。


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