Dee is an American speculator, who currently has capital (her total wealth) to the amount of USD$200,000.
Question:
Dee is an American speculator, who currently has capital (her total wealth) to
the amount of USD$200,000. Suppose in February 2020, the spot rate for
pound sterling (GBP) is EFeb=GBP/USD=1.23841 ( ). She thinks there
is a good chance that GBP will appreciate in the next four months, and she
builds up a long GBP position worth 100,000, by buying a GBP futures with a
price of F=1.22000, with settlement date at the end of June 2020.
(a) Suppose Dee holds this future until settlement date and finds that the spot
price in June has become EJun=1.18252. If we ignore transaction costs, how
much wealth will she have, in US dollar terms, after settling this contract?
(10 marks)
Suppose instead in April 2020, Dee reads about new developments in the
financial markets and changes her mind. She now thinks GBP will depreciate
instead and her long GBP position will likely lose money. She hedges by going
short 100,000 on GBP to close her net position with settlement date in June
2020. Unfortunately, at this time, she can only find GBP futures with price
F=1.20000.
(b) Given Dee holds these two contracts, ignoring transaction costs, how much
wealth will she have (in US dollar terms) after settling these two contracts?
Has her hedge been successful?
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba