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Lareina · 2025年06月21日

关于美元折算欧元的问题

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.

To calculate the net cash flow (in euros) today, the following steps are necessary:

1. Sell USD2,500,000 at the one-month forward rate stated in the forward contract. Selling US dollars against the euro means buying euros, which is the base currency in the USD/EUR forward rate. Therefore, the offer side of the market must be used to calculate the inflow in euros.

All-in forward rate = 1.1714 + (10/10,000) = 1.1724

USD2,500,000 / 1.1724 = EUR2,132,378.03.

2. Buy USD2,500,000 at the spot rate to offset the USD sold in Step 1 above. Buying the US dollar against the euro means selling euros, which is the base currency in the USD/EUR spot rate. Therefore, the bid side of the market must be used to calculate the inflow in euros.

USD2,500,000 / 1.1575 = EUR2,159,827.21.

3. Therefore, the net cash flow is equal to EUR2,132,378.03 – EUR2,159,827.21, which is equal to a net outflow of EUR27,449.18.

To maintain the desired hedge, Delgado will then enter into a new forward contract to sell the USD2,650,000. There will be no additional cash flow today arising from the new forward contract.

老师,把美元按即期汇率折现成欧元,相当于要和做市商换成欧元,为什么不是用ask的价格呢,有点绕晕了。

1 个答案

pzqa35 · 2025年06月23日

嗨,从没放弃的小努力你好:


我们forward是卖出美元,买入欧元,所以是ask price。

在即期市场,我们需要平仓这个合约,所以是相反的操作,买入美元,卖出欧元,所以对应的是dealer买欧元,用的是bid price。

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