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.
the net cash flow (in euros) to maintain the desired hedge is paying USD 274,449.18.
To maintain the desired hedge, Delgado will then enter into a new one-month forward contract to sell the USD2,650,000.