NO.PZ2020021204000036
问题如下：
Assume that the bond that will be cheapest to deliver in a Treasury bond futures contract pays semi-annual coupons at the rate of 10% per annum on May 1 and November 1 and will be delivered on September 1. The bond's quoted price on August 1 is 130.00 and its conversion factor is 1.2341. Estimate the futures price on August 1 assuming that all interest rates are 4% (continuously compounded).
选项：
解释：
There are 92 days between May 1 and August 1 (30, 30,31, and 1 in May, June, July, and August, respectively) and 184 days between May 1 and November 1 (30, 30, 31, 31, 30, 31, 1 in May, June, July, August, September, October, and November, respectively). The dirty price of the bond is therefore:
130 + 5 X 92/184 = 132.5
No coupons will be paid in the 31-day period between August 1 and September 1. The time to delivery is 31/365 = 0.0849 years. The dirty futures price is therefore:
132.5e0.0849X0.04=132.9509
The accrued interest on September 1 is 5 X 123/184= 3.3423. The clean futures price is therefore:
132.9509 - 3.3423 = 129.6086
Dividing by the conversion factor we obtain the estimated futures price as:
129.6086/1.2341= 105.0227
the bond that will be cheapest to deliver in a Treasury bond futures contract pays semi-annual coupons at the rate of 10% per annum on May 1 and November 1 and will be delivered on September 1.
有一个T-bond futures在9.1日交割，且为CTDbond，每5.1和11.1按5%半年给一次coupon 。
The bond's quoted price on August 1 is 130.00 and its conversion factor is 1.2341. 债券在8.1的价格为130*1.2341+AI。
Estimate the futures price on August 1 assuming that all interest rates are 4% (continuously compounded).假设复利4%，计算期货价格。
也就是8月1日签1个月的债券期货合约，合约价格是130*1.2341+AI；9月1日合约到期交割，求9月1日的债券期货价格。
想请问，1、T-bond面值不是10million吗，在计算半年coupon时为什么是假设100面值，直接折算为5呢？
2、8月1日的价格不就是债券期货价格吗？3、不理解这个场景的背后逻辑。
