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好好学习向前进 · 2023年07月23日

题中给的QFP是什么?

* 问题详情,请 查看题干

NO.PZ202108100100000303

问题如下:

The equilibrium 10-year Treasury note quoted futures contract price is closest to:

选项:

A.

147.94

B.

148.89

C.

149.78

解释:

A is correct.

The equilibrium 10-year quoted futures contract price based on the carry arbitrage model is calculated as

Q0 = (1/CF) × [FV(B0 + AI0 ) − AIT − FVCI].

CF = 0.7025

B0 = 104.00

AI0 = 0.17

AIT = (120/180 × 0.02*100/2) = 0.67

FVCI = 0.

Q0 =(1/0.7025) × [(1+0.0165)(3/12) (104.17) - 0.67-0]=147.94

中文解析:

本题考察的是求无套利的远期价格Q0 。

按照上述步骤计算即可。需要注意的是在根据公式求得F0 后,要除以转换因子CF,才能得到最终的Q0

另外,AI的计算公式为:


老师,题目算对了,但是题中给的QFP129那个数字是什么QFP啊,和答案里的QFP有什么关系?

1 个答案

Lucky_品职助教 · 2023年07月24日

嗨,从没放弃的小努力你好:


The quoted futures contract price is 129. 这句话是说目前市场上的期货价格是129。但题目让我们求均衡期货价格,即这个期货的理论价格,因此就不需要用到市场期货价格。

用这个条件的题目,一般会问如何进行投资操作,比如我们算出的理论(内在)价格低于市场价格,那就要short市场上现有的期货。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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