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vvnsw · 2024年06月20日

为什么是16期

  1. CFA I
  2. Quantitative

NO.PZ2023052407000001

问题如下：

Grupo Ignacia issued 10-year corporate bonds two years ago. The bonds pay an annualized coupon of 10.7 percent on a semiannual basis, and the current annualized YTM is 11.6 percent. The current price of Grupo Ignacia’s bonds (per MXN100 of par value) is closest to:

选项：

A.

MXN95.47

B.

MXN97.18

C.

MXN95.39

解释：

C is correct. The coupon payments are 5.35 (=10.7/2), the discount rate is 5.8 percent (=11.6%/2) per period, and the number of periods is 16 (=8×2). Using Equation 6, the calculation is as follows:


Alternatively, using the Microsoft Excel or Google Sheets PV function (PV(0.058,16,5.35,100,0)) also yields a result of MXN95.39.

A is incorrect. MXN95.47 is the result when incorrectly using coupon payments of 10.7, a discount rate of 11.6 percent, and 8 as the number of periods.

B is incorrect. MXN97.18 is the result when using the correct semiannual coupons and discount rate, but incorrectly using 8 as the number of periods.

题目不是说2年前 不是用4年期算？

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1 个答案

品职助教_七七 · 2024年06月20日

嗨，爱思考的PZer你好：


债券的期限一共是10年（10-year corporate bond），现在已经过了两年（... two years ago），还剩10-2=8年。

（任何金融产品都是未来现金流折现，过去产生的现金流不需要考虑。所以之前的两年需要减掉）。


由于每半年计息一次（on a semiannual basis），即未来还有（10-2）*2=16期。

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虽然现在很辛苦，但努力过的感觉真的很好，加油！

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