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