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EmilyZhou · 2024年08月07日

这个不能用老师讲的算作持有long term吗?

NO.PZ2023052301000041

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:

A is correct. The future value of reinvested coupon interest is

= FV(0.074,6,6.4,0,0) = 46.245.

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

= PV(0.074,2,6.40,100,0) = 98.202,

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


B and C are incorrect, because interest rates have risen and the investor’s investment horizon is not long enough to offset the price decline with additional reinvestment return.

这个不能用老师讲的算作持有long term ,r上升 rr大于ytm吗?

2 个答案

品职答疑小助手雍 · 2024年08月22日

额,是持有6年,但是不影响原始的逻辑。

每期的6.4%的coupon的再投资影响还是很小的。大头还是fv,106.4的金额折现造成的影响更大。

解析里把计算结果都列上去了。

品职答疑小助手雍 · 2024年08月08日

同学你好,不能,持有长期且以YTM再投资获得收益是那个假设的基础。

这题只持有两年,而且更未来的6年没有再投资的收益,还要承受折现利率上升造成的债券价格下降。

如沐春风 · 2024年08月22日

老师,“sells it after six years”不应该是持有6年吗?一共8年,持有6年在卖出,不应该是再投资的收益影响较大吗?

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