问题如下:
1.Based on Exhibit 1 and assuming annual compounding, the arbitrage profit on the bond futures contract is closest to:
选项:
A.0.4158
B.0.5356
C.0.6195
解释:
B is correct.
The no-arbitrage futures price is equal to the following:
F0(T) = FV0,T(T)[B0(T + Y) + Al0 – PVCI0,T]
F0(T) = (1 + 0.003)0.25(112.00 + 0.08 - 0)
F0(T) = (1 + 0.003)0.25 (112.08) = 112.1640
The adjusted price of the futures contract is equal to the conversion factor multiplied by the quoted futures price:
F0(T)=CF(T)QF0(T)
F0(T) = (0.90)(125) = 112.50
Adding the accrued interest of 0.20 in three months (futures contract expiration) to the adjusted price of the futures contract gives a total price of 112.70.
This difference means that the futures contract is overpriced by 112.70 - 112.1640 = 0.5360. The available arbitrage profit is the present value of this difference: 0.5360/(1.003)0.25 = 0.5356.
老师您好,针对本题及解析,看完后有如下理解,如有不对之处,请指正,谢谢:
1. 题目给的underlying bond的quoted price,是初始时刻的,因此,要结合AI0、PVC0复利到T时刻,得到终值。
2. accrued interest at futures contract expiration:0.20,是T(3个月后)加在futures上的。不是看表格它在underlying bond一列下面,就是underlying的。
3. 终值做差后折现回初始时刻。是否可以不用给underlying bond求终值,直接折现futures后,在0时刻做差?
4. 不是单利!要总结什么时候是单利、什么时候是复利?