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ralph318 · 2021年10月21日

value的计算有问题,请老师解答一下

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

The value of the roll (USD) is

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


这个式子里所有项的时间节点是不一样的吧?比如最后一项40000发生在月末,而买入价格和卖出价格分别发生在前一个月14号和后一个月14号,34494发生在后一个月14号,它们之间能直接加减吗


谢谢

1 个答案

DD仔_品职助教 · 2021年10月22日

嗨,爱思考的PZer你好:


同学你好~

这个interest paid at the end of month指的是AI,也就是sell price和buy price后面加的部分。他虽然月末才付,但是总额是根据持有资产的天数14天计算出来的。

这个4000是月中付的,他说的是during the month,也就是14号。

那么这些现金流其实都是在14号发生的,因为这个是dollar roll,在每月的14号,是有卖也有买的,所以现金流其实都是14号发生的。只有AI是月末才给你付。

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