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王昕彤 · 2023年03月06日

关于colletral return

* 问题详情,请 查看题干

NO.PZ201720190200000306

问题如下:

6. Based on Exhibit 2, the total return from the long position in natural gas futures is closest to:

选项:

A.

1.46%

B.

3.71%

C.

4.14%

解释:

A is correct.

The total return for a fully collateralized position is the sum of the price return, the roll return, and the collateral return:
Price return = (Current price – Previous price)/Previous price = (2.99 – 2.93)/2.93 = 2.05%.
Roll return = (Near-term futures closing price – Farther-term futures closing price)/Near-term futures closing price × Percentage of position in futures contract being rolled = [(2.99 – 3.03)/2.99] × 100% = –1.34%.
Collateral return = Annual rate × Period length as a fraction of the year = 3% × 0.25 = 0.75%.

Therefore, the total return for three months = 2.05% – 1.34% + 0.75% = 1.46%.

老师,题干说这个futures是三个月以前进入的,那么代表这个futures是六个月的,那么colletral return 是不是应该用3%乘以0.5呢

1 个答案

Lucky_品职助教 · 2023年03月09日

嗨,从没放弃的小努力你好:


本题是站在当前时点计算三个return,所以Price return 和Collateral return的计算都是从3个月前到当前时点算的,Roll return按照题目给出的条件取的近期和远期合约报价,如果用6个月的话,应该是站在6个月时点计算了~

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