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youmima · 2023年08月14日

forward/ futures平仓

NO.PZ2022123002000002

问题如下:

Rosario Delgado is an investment manager in Spain. Delgado’s client, Max Rivera, seeks assistance with his well-diversified investment portfolio denominated in US dollars.

Rivera’s reporting currency is the euro, and he is concerned about his US dollar exposure. His portfolio IPS requires monthly rebalancing, at a minimum. The portfolio’s market value is USD2.5 million. Given Rivera’s risk aversion, Delgado is considering a monthly hedge using either a one-month forward contract or one-month futures contract.

Assume Rivera’s portfolio was perfectly hedged. It is now time to rebalance the portfolio and roll the currency hedge forward one month. The relevant data for rebalancing are provided in Exhibit 1.


Calculate the net cash flow (in euros) to maintain the desired hedge. Show your calculations.

选项:

解释:

Correct Answer:

When hedging one month ago, Delgado would have sold USD2,500,000 one month forward against the euro. Now, with the US dollar-denominated portfolio increasing in value to USD2,650,000, a mismatched FX swap is needed to settle the initial expiring forward contract and establish a new hedge given the higher market value of the US dollar-denominated portfolio.

To calculate the net cash flow (in euros) to maintain the desired hedge, the following steps are necessary:

1. Buy USD2,500,000 at the spot rate. Buying US dollars against the euro means selling euros, which is the base currency in the EUR/USD spot rate. Therefore, the offer side of the market must be used to calculate the outflow in euros.

USD2,500,000 × 0.8876 = EUR2,219,000.

2. Sell USD2,650,000 at the spot rate adjusted for the one-month forward points (all-in forward rate). Selling the US dollar against the euro means buying euros, which is the base currency in the EUR/USD spot rate. Therefore, the bid side of the market must be used to calculate the inflow in euros.

All-in forward rate = 0.8875 + (20/10,000) = 0.8895.

USD2,650,000 × 0.8895 = EUR2,357,175.

3. Therefore, the net cash flow is equal to EUR2,357,175 – EUR2,219,000, which is equal to EUR138,175.

比如:买了一个一个后月卖出2.5million usd,买入euro的forward(如交割价格为eur/usd=0.8),一个月后需要平仓。

一个月后,假如spot eur/usd=0.9, 我的平仓操作为什么是直接按照spot rate买入2.5million usd;而不是卖出到期合同所获得的euro 2million(=2.5*0.8),然后再买入另外一个一个月后卖出2.65million usd 买入euro的forward呢?

1 个答案

pzqa31 · 2023年08月15日

嗨,从没放弃的小努力你好:


同学,是这样的,用现货平仓还是用期货平仓其实主要是看平仓的时间距离合约到期的时间有多久:

1.     用现货平仓基本是发生在合约马上到期的时候,在现货市场买回标的资产与对手方进行交割 例如 short forward(因为short forward约定了在合约到期的时候是要按照合约价格卖出标的资产的),合约交割是发生在到期的时候。

2.    但如果合约距离到期还有好几个月(例如本题还有三个月),不能发生交割,但是由于对冲资产的规模变化,现在的远期合约头寸确实不合适了,因此只能通过签订反向合约的方式进行平仓操作。


这道题的意思是签订一个月的合约,一个月以后平仓,然后再roll进一份新的合约,不断滚仓,所以是用现货平仓。

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努力的时光都是限量版,加油!

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