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?