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