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轨迹 · 2020年11月27日

问一道题:NO.PZ2016031001000121

问题如下:

A bond portfolio consists of the following three fixed-rate bonds. Assume annual coupon payments and no accrued interest on the bonds. Prices are per 100 of par value.

The bond portfolio’s modified duration is closest to:

选项:

A.

7.62.

B.

8.08.

C.

8.20.

解释:

A is correct.

The portfolio’s modified duration is closest to 7.62.Portfolio duration is commonly estimated as the market-value-weighted average of the yield durations of the individual bonds that compose the portfolio.

The total market value of the bond portfolio is 170,000 + 120,000 + 100,000 = 390,000.

The portfolio duration is 5.42 × (170,000/390,000) + 8.44 × (120,000/390,000) + 10.38 × (100,000/390,000) = 7.62.

为什么用Market Value, 而不用Price?

什么情况下,A和B的Market Value 比 Price 大了那么多?

1 个答案

WallE_品职答疑助手 · 2020年11月27日

MV和price的关系

就好比,一股股票100块钱 和一手股票(100股)。之所以这里用MV而不是price就是因为组合里面肯定不是只有1份债券,而是很多份债券。

一般情况下MV肯定是远远大于price的。