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李建强 · 2020年02月29日

问一道题:NO.PZ201720190200000306

* 问题详情,请 查看题干

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%.

为什么collateral return要乘以0.25?

2 个答案

xiaowan_品职助教 · 2020年07月22日

嗨,努力学习的PZer你好:


@ 三金,同学你好:

collateral return是把大宗商品作为抵押物投资在政府债券上的收益率,收益率一般就是无风险利率,所以题目中给出的利率基本都是年化表达的。


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努力的时光都是限量版,加油!


xiaowan_品职助教 · 2020年03月01日

嗨,从没放弃的小努力你好:


同学你好,因为Exhibit2呈现出的是一个3个月的position,而3%是年化收益率,所以要*0.25年。


-------------------------------
努力的时光都是限量版,加油!


三金 · 2020年07月22日

老师,题目哪里看出这个collateral return是年化的?

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NO.PZ201720190200000306问题如下6. Baseon Exhibit 2, the totreturn from the long position in naturgfutures is closest to:A.1.46%B.3.71%C.4.14%A is correct. The totreturn for a fully collateralizeposition is the sum of the prireturn, the roll return, anthe collaterreturn:Prireturn = (Current pri– Previous price)/Previous pri= (2.99 – 2.93)/2.93 = 2.05%.Roll return = (Near-term futures closing pri– Farther-term futures closing price)/Near-term futures closing pri× Percentage of position in futures contrabeing rolle= [(2.99 – 3.03)/2.99] × 100% = –1.34%.Collaterreturn = Annurate × Periolength a fraction of the ye= 3% × 0.25 = 0.75%.Therefore, the totreturn for three months = 2.05% – 1.34% + 0.75% = 1.46%.哪里可以看到roll return的position是100%

2023-04-17 10:09 1 · 回答

NO.PZ201720190200000306 问题如下 6. Baseon Exhibit 2, the totreturn from the long position in naturgfutures is closest to: A.1.46% B.3.71% C.4.14% A is correct. The totreturn for a fully collateralizeposition is the sum of the prireturn, the roll return, anthe collaterreturn:Prireturn = (Current pri– Previous price)/Previous pri= (2.99 – 2.93)/2.93 = 2.05%.Roll return = (Near-term futures closing pri– Farther-term futures closing price)/Near-term futures closing pri× Percentage of position in futures contrabeing rolle= [(2.99 – 3.03)/2.99] × 100% = –1.34%.Collaterreturn = Annurate × Periolength a fraction of the ye= 3% × 0.25 = 0.75%.Therefore, the totreturn 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colletrreturn 是不是应该用3%乘以0.5呢

2023-03-06 21:07 1 · 回答

NO.PZ201720190200000306 老师好 prireturn = (FP 未来 - FP 初) / FP 初, FP 初 是否指 在futures里锁定的价格? 也就是这里道德2.93 谢谢 这样理解对吗?

2021-11-08 06:12 1 · 回答