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:
A.
USD 39,494
B.
USD 40,000
C.
USD 34,494
D.
USD 45,000
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
有一个dollar rool,面值10m,30年,6%利息的资产池,卖价是103.25,买价是102.8。每月的14号进行结算,利息每个月月底进行支付。卖了之后可以以4%年利率,每月复利来进行再投资。资产池每月需要支付的利息和本金是面值的0.4%。求这个dollar roll的价格?
真实的买卖价格需要考虑accrual interest:
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.
卖价可以以4%月利率再进行投资,那么投资1个月的利息是:
Investment of proceeds yields in USD 10,348,333 × 0.04/12 = 34,494.
支付的利息与本金:
Payments on the pool would be USD 40,000.
The value of the roll (USD):
10,348,333 − 10,303,333 + 34,494 − 40,000 = 39,494
错过的资金池现金流0.4%是什么钱?资金池为啥要给这个钱,不是已经给了票息了吗?是因为提前还款产生的提前支付现金流吗?