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咖啡巧克力 · 2024年09月28日

gain

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NO.PZ202208260100000502

问题如下:

One of Ace’s investor clients has entered a long six-month forward transaction with Ace on 100 shares of Xenaliya (XLYA), a non-dividend-paying technology stock. The stock’s spot price per share, S0, is €85, and the risk-free rate is a constant 1% for all maturities. Ace has hedged the client transaction with a long six-month XLYA futures contract at a price f0(T) of €85.42 and posted initial margin of €1,000. Three months after the forward and futures contracts are initiated, XYLA announces a strategic partnership with a major global technology firm, and its spot share price jumps €15 on the day’s trading to close at €123. Which of the following statements best characterizes the impact of the day’s trading on the MTM value of the forward versus the futures contract?

选项:

A.

Ace’s client realizes an MTM gain of approximately €1,500 (= €15×100) on its margin account, which Ace must deposit at the end of the day to cover its margin call.

B.

Ace’s client benefits from an MTM unrealized gain on its forward contract with Ace, and Ace has a corresponding MTM gain of approximately €1,500 (= €15×100) deposited in its margin account by the exchange.

C.

Because Ace has entered a hedge of its client’s long forward position on XLYA by executing a futures contract with otherwise identical terms, the two contract MTM values exactly offset one another and no cash is exchanged on either transaction.

解释:

Solution

B is correct.

The long investor client forward position with Ace benefits from an MTM gain on its forward contract with Ace, but no cash is exchanged until maturity. Ace receives a deposit in its futures margin account equal to the daily MTM futures contract gain, which if spot and futures prices change by approximately the same amount will be equal to €1,500 (€15 × 100).

中文解析:

本题中Ace的客户,后面我们简称为客户,他与Ace签订的是forward合约;而Ace为了对冲这笔交易,又进入了一个期货合约。

所以本题实际考察的是远期合约与期货合约在合约期间MTM是否结算的对比。

由于标的股票一天内涨了15美元,对于客户来说,标的涨了自然会有gain,但由于他签订的是远期合约,到期才能结算,所以这个gain是未实现的收益。

而对于Ace来说,由于进入的是期货合约,每日盯市结算,因此当天的收益直接会划至其保证金账户内,实现真正的收益即15美元*100=1,500美元。

因此选择B

盈利为何不是以3个月现价对比签订的远期价格呢?

1 个答案

李坏_品职助教 · 2024年09月28日

嗨,从没放弃的小努力你好:


这个题目中是有两笔交易:

  1. 客户与Ace签订了forward contract,客户是多头,Ace是空头。
  2. Ace为了对冲上面那笔交易的风险,做多了(long)一份futures contract。


题目问的是,在当天的交易之后,对forward contract以及futures contract分别有何影响?就是只考虑这一天的股票交易带来的影响,题目说这一天股价上涨了15美元,那么当天Ace在futures上面的盈利也就是15 * 100 = 1500美元。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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