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jacqie · 2022年03月31日

买回来的时候不是已经付过一次本息了么?

NO.PZ2020011303000037

问题如下:

In a dollar roll a USD 10,000,000 30-year 6% pool is sold for 103.25 and bought for 102.80. The settlement is on the fourteenth of the month for both months. The interest is paid at the end of the month. The proceeds of the sale can be invested at 4% per year (compounded monthly), and interest and principal payments on the pool during the month of the roll would amount to 0.4% of the par value. What is the value of the roll?

选项:

解释:

USD selling price is 10,325,000 + 10,000,000 × (14/30) × (0.06/12) = 10,348,333.

USD buying price is 10,280,000 + 10,000,000 × (14/30) × (0.06/12) = 10,303,333.

Investment of proceeds yields in USD 10,348,333 × 0.04/12 = 34,494.

Payments on the pool would be USD 40,000.

The value of the roll (USD) is

10,348,333 10,303,333 + 34,494 40,000 = 39,494

这道题首先没有说价格时clean还是dirty,一般考试怎么判断

另外买回来的时候不是付过本息了么?那么买回来的加各种利息是不是应该扣除偿还本金后计算?

1 个答案

DD仔_品职助教 · 2022年03月31日

嗨,爱思考的PZer你好:


同学你好,

1,报价一般都是clean price,一般不会说明,默认是clean price

2,买价是未来预期现金流的折现求和,预期的现金流是coupon和本金。

但是由于settlement的时间距离上一个付息日(上个月底)晚了14天,所以交割的是等了14天的债券,其中就包含了递延的利息,也就是6%年化coupon的14天的利息,这个利息就是我们说的AI。

不管买还是卖都一样,都是给出的clean price,没有考虑因为交易晚了而应该支付的利息。

dirty price就是报价clean price+等这么多天应该再拿到的AI.

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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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