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蜗牛也是牛Megan · 2025年06月13日

有点搞混了折现率

* 问题详情,请 查看题干

NO.PZ202304070100000702

问题如下:

Buy a four-year, zero-coupon corporate bond and then sell it after two years. Smith illustrates the returns from this strategy using the swap rate as a proxy for corporate yields. He should show an annual return closest to:

选项:

A.

4.31%

B.

5.42%

C.

6.53%

解释:

Correct Answer: C

The swap spread is a common way to indicate credit spreads in a market. The four-year swap rate (fixed leg of an interest rate swap) can be used as an indication of the four-year corporate yield. Riding the yield curve by purchasing a four-year zero-coupon bond with a yield of 4.75% {i.e., 4.05% + 0.70%, [P4 = 100/(1 + 0.0475)^4 =83.058]} and then selling it when it becomes a two-year zero-coupon bond with a yield of 3.00% {i.e., 2.70% +0.30%, [P2 = 100/(1 + 0.0300)^2 = 94.260]} produces an annual return of 6.53%: (94.260/83.058)^0.5 – 1.0 = 0.0653.

这道题的折现率为什么只用了最后一期的4.75%,而不是分别用每一年的SWAP RATE 来折现呢

1 个答案

吴昊_品职助教 · 2025年06月13日

嗨,努力学习的PZer你好:


four-year, zero-coupon corporate bond,现在的债券是四年的零息债券,也就是说前面几年都是没有现金流的。就只有第四年才有现金流,那这一笔现金流在折现的时候就使用最后一期swap rate,而swap rate就是用government spot rate加上swap spread得到的。

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