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ralph318 · 2021年10月21日

selling price 和 buying price 怎么算的

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

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

这里的价格计算为什么还要加上 10,000,000 × (14/30) × (0.06/12) 这一项


谢谢

1 个答案

品职答疑小助手雍 · 2021年10月22日

同学你好,因为常规的报价(就像本题第一句话的那种直说price)都是clean price,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(和clean price合起来就是dirty price),也就是本题价格加上的部分。

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