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jacqie · 2022年02月27日

我怎么判断题目里面要我求的是QFP还是FP?

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

从题目我觉得是FP,但答案缺失QFP?

1 个答案

李坏_品职助教 · 2022年02月27日

嗨,从没放弃的小努力你好:


这道题是已经告诉你CDT bond 的信息让你反求 quoted future price (the future price on Aug. 1st,意思是八月份的期货报价),基本原理就是我以现在的价格short 这个债券获得一笔钱(这笔钱是要包含 AI的,因为是实际交易价格),一个月后要把债券从市场上买过来还给别人。


所以先得到 dirty price,dirty price(全价) = quote future price * CF + AI,求出QFP 即可。如果让你求FP的话,问题会明确写“clean price”或者“dirty price”的

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