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Serena · 2020年10月04日

问一道题:NO.PZ2016031001000056 [ CFA I ]

问题如下:

A zero-coupon bond matures in 15 years. At a market discount rate of 4.5% per year and assuming annual compounding, the price of the bond per 100 of par value is closest to:

选项:

A.

51.30.

B.

51.67.

C.

71.62.

解释:

B is correct.

The price of the zero-coupon bond is closest to 51.67. The price is determined in the following manner:

PV=100(1+r)NPV=\frac{100}{{(1+r)}^N}

where:

PV = present value, or the price of the bond

r = market discount rate, or required rate of return per period

N = number of evenly spaced periods to maturity

PV=100(1+0.045)15PV=\frac{100}{{(1+0.045)}^{15}}

PV = 51.67

虽然答案做对了,但是美国市场上的零息债券不是都半年计息么?那其实应该N=15*2=30而不是15 
1 个答案

吴昊_品职助教 · 2020年10月04日

同学你好:

根据题干信息“assuming annual compounding”,这道题中的债券是一年付息一次,而非半年付息一次。所以要根据题目的实际情况来解答。