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Gabriela · 2024年08月19日

不是应该用3年YTM的平均值

NO.PZ2023052301000028

问题如下:

An analyst is analyzing a three-year, 2.25% annual coupon bond issued by QWE Company. Currently, the bond’s yield-to-maturity is 2.707%. The three-year swap rate is 1.840%. The government spot rates are presented in the table.


The G-Spread (in basis points) for the QWE bond is closest to:

选项:

A.

80

B.

87

C.

135

解释:

A is correct. The G-spread is a yield spread above that of a government bond with the same maturity date. The yield-to-maturity for the corporate bond is 2.7070%. The yield-to-maturity for the government benchmark bond is 1.9036%.

G-spread = 2.707% – 1.904% = 0.8034% = 80.3 bps.

B is incorrect because 87 bps is the I-spread calculated as the yield spread of a bond over the standard swap rate in the same currency and with the same tenor.

C is incorrect because 135 bps is the spread calculated as the difference between the yield-to-maturity of the QWE bond and the average of government rates for all maturities.

求3年期的YTM,难道不应该用S1-S3的平均值吗?

1 个答案

品职答疑小助手雍 · 2024年08月21日

嗨,爱思考的PZer你好:


YTM和spot的关系不是单纯的算数平均。是需要每期现金流用YTM折现得到的PV 和 每期现金流用对应spot rate折现得到的PV相等这个式子来求出YTM的。

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2024-08-11 21:23 1 · 回答

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