Albert Wulf, CFA, is a portfolio manager with Upsala Asset Management, a regional financial services firm that
handles investments for small businesses in Northern Germany. For the most part, Wulf has been handling
locally concentrated investments in European securities. Due to a lack of expertise in currency management he
works closely with James Bauer, a foreign exchange expert who manages international exposure in some of
Upsala's portfolios. Both individuals are committed to managing portfolio assets within the guidelines of client
investment policy statements.
To achieve global diversification, Wulf's portfolio invests in securities from developed nations including the
United States, Japan, and Great Britain. Due to recent currency market turmoil, translation risk has become a
huge concern for Upsala's managers. The U.S. dollar has recently plummeted relative to the euro, while the
Japanese yen and British pound have appreciated slightly relative to the euro. Wulf and Bauer meet to discuss
hedging strategies that will hopefully mitigate some of the concerns regarding future currency fluctuations.
Wulf currently has a $1,000,000 investment in a U.S. oil and gas corporation. This position was taken with the
expectation that demand for oil in the U.S. would increase sharply over the short-run. Wulf plans to exit this
position 125 days from today. In order to hedge the currency exposure to the U.S. dollar, Bauer enters into a
90-day U.S. dollar futures contract, expiring in September. Bauer comments to Wulf that this futures contract
guarantees that the portfolio will not take any unjustified risk in the volatile dollar.
Wulf recently started investing in securities from Japan. He has been particularly interested in the growth of
technology firms in that country. Wulf decides to make an investment of ¥25,000,000 in a small technology
enterprise that is in need of start-up capital. The spot exchange rate for the Japanese yen at the time of the
investment is ¥135/€. The expected spot rate in 90 days is ¥132/€. Given the expected appreciation of the yen,
Bauer purchases put options that provide insurance against any deprecation of the euro. While delta-hedging
this position, Bauer discovers that current at-the-money yen put options sell for €1 with a delta of -0.85. He
mentions to Wulf that, in general, put options will provide a cheaper alternative to hedging than with futures
since put options are only exercised if the local currency depreciates.
The exposure of Wulf’s portfolio to the British pound results from a 180-day pound-denominated investment of
£5,000,000. The spot exchange rate for the British pound is £0.78/€. The value of the investment is expected to
increase to £5,100,000 at the end of the 180 day period. Bauer informs Wulf that due to the minimal expected
exchange rate movement, it would be in the best interest of their clients, from a cost-benefit standpoint, to
hedge only the principal of this investment.
Before entering into currency futures and options contracts, Wulf and Bauer discuss the possibility of also
hedging market risk due to changes in the value of the assets. Bauer suggests that in order to hedge against a
possible loss in the value of an asset Wulf should short a given foreign market index. Wulf is interested in
executing index hedging strategies that are perfectly correlated with foreign investments. Bauer, however,
cautions Wulf regarding the increase in trading costs that would result from these additional hedging activities.
Regarding the Japanese investment in the technology company, determine the appropriate transaction in put
options to adjust the current delta hedge, given that the delta changes to -0.92. Assume that each yen put
allows the right to self ¥1,000,000.