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anyewumian · 2021年05月07日

问一道题:NO.PZ2016082402000009 [ FRM I ]

问题如下:

A Treasury bond has a coupon rate of 6% per annum (the coupons are paid semiannually) and a semiannually compounded yield of 4% per annum. The bond matures in 18 months and the next coupon will be paid 6 months from now. Which number of years is closest to the bond’s Macaulay duration?

选项:

A.

1.023 years

B.

1.457 years

C.

1.500 years

D.

2.915 years

解释:

ANSWER: B

For coupon-paying bonds, Macaulay duration is slightly less than the maturity, which is 1.5 years here. So, B would be a good guess. Otherwise, we can compute duration exactly.

老师能详细解释一下这道题吗

1 个答案

袁园_品职助教 · 2021年05月08日

题目:

coupon rate = 6%,半年付息

年利率 4%,每半年复利

债券还有18个月到期,下一个付息日是6个月后,问Macaulay Duration


解析:

因为是付息债券,所以Macaulay Duration小于maturity(18个月),所以猜是B

你也可以自己算一下到底是多少