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YAO Monica · 2024年05月17日

利率将要降低,怎么和yield curve联系到一起?

NO.PZ2023040701000076

问题如下:

Domestic economic activity has been weakening recently. Government yields have remained low for an extended period, and Smith suggests considering investment-grade corporate bonds to provide additional yield above government debt issues. In light of recent poor employment figures and two consecutive quarters of negative GDP growth, the consensus forecast among economists is that the central bank, at its next meeting this month, will take actions that will lead to lower interest rates.

Smith and Carter review par, spot, and one-year forward rates (Exhibit 1) and four fixed-rate investment-grade bonds issued by Alpha Corporation which are being considered for investment (Exhibit 2).

Exhibit 1. Par, Spot, and One-Year Forward Rates (annual coupon payments)

Exhibit 2. Selected Fixed-Rate Bonds of Alpha Corporation

Note: All bonds in Exhibit 2 have remaining maturities of exactly three years

If the Brown and Company forecast comes true, which of the following is most likely to occur? The value of the embedded option in:

选项:

A.

Bond 3 decreases.

B.

Bond 4 decreases.

C.

both Bond 3 and Bond 4 increases.

解释:

Correct Answer: A

All else being equal, the value of a put option decreases as the yield curve moves from being upward sloping to flat to downward sloping (inverted). Alternatively, a call option’s value increases as the yield curve flattens and increases further if the yield curve inverts. Therefore, if the yield curve became inverted, the value of the embedded option in Bond 3 (putable) would decrease and the value of the embedded option in Bond 4 (Callable) would increase.

利率将要降低,怎么和yield curve联系到一起?yield curve又是怎么和嵌入式期权联系到一起的?

请解惑,谢谢

1 个答案
已采纳答案

吴昊_品职助教 · 2024年05月17日

嗨,从没放弃的小努力你好:


1、Exhibit 1里面给了现在的一些利率是upward的,说明这个inverted代表的是downward。另外,表格上面那段说的是央行将采取措施,这些措施会导致利率下降。换言之,这些措施还没采取,利率还没有下降。表格下面那段,Brown and Company预测,yield curve将在6个月反转,也就是由最初的向上倾斜变成6个月之后的向下倾斜。

2、利率下降的情况下,call option更有价值,价值上升,因为其行权可能性增加。反之,put option没有意义,价值下降,因为在利率下降的时候put option不可能行权。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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