A U.S. firm holds an asset in France and faces the following scenario: State 1 State 2 State 3 State 4 Probability Spot rate p* P $ € $ 25 1.45 1,500 1,900 % /€ $ € $ 25 1.35 1,400 1,640 % /€ 25 $ 1.25 € 1,300 $ 1,350 % /€ 25 $ 1.15 € 1,200 $ 1,130 % /€ In the above table, P* is the euro price of the asset held by the U.S. firm and Pis the dollar price of the asset. a. Compute the exchange exposure faced by the U.S. firm. b. What is the variance of the dollar price of this asset if the U.S. firm remains unhedged against this exposure? c. If the U.S. firm hedges against this exposure using a forward contract, what is the variance of the dollar value of the hedged position?

International Financial Management
14th Edition
ISBN:9780357130698
Author:Madura
Publisher:Madura
Chapter8: Relationships Among Inflation, Interest Rates, And Exchange Rates
Section: Chapter Questions
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A U.S. firm holds an asset in France and faces the following scenario:
State 1
State 2 State 3
State 4
Probability
Spot rate
p*
P
$
€
$
25
1.45
1,500
1,900
%
/€
$
€
$
25
1.35
1,400
1,640
%
/€
25
$ 1.25
€
1,300
$1,350
%
25
/€ $ 1.15
€ 1,200
$ 1,130
%
/€
In the above table, P* is the euro price of the asset held by the U.S. firm and Pis the dollar price of the asset.
a. Compute the exchange exposure faced by the U.S. firm.
b. What is the variance of the dollar price of this asset if the U.S. firm remains unhedged against this exposure?
c. If the U.S. firm hedges against this exposure using a forward contract, what is the variance of the dollar value of the
hedged position?
Transcribed Image Text:A U.S. firm holds an asset in France and faces the following scenario: State 1 State 2 State 3 State 4 Probability Spot rate p* P $ € $ 25 1.45 1,500 1,900 % /€ $ € $ 25 1.35 1,400 1,640 % /€ 25 $ 1.25 € 1,300 $1,350 % 25 /€ $ 1.15 € 1,200 $ 1,130 % /€ In the above table, P* is the euro price of the asset held by the U.S. firm and Pis the dollar price of the asset. a. Compute the exchange exposure faced by the U.S. firm. b. What is the variance of the dollar price of this asset if the U.S. firm remains unhedged against this exposure? c. If the U.S. firm hedges against this exposure using a forward contract, what is the variance of the dollar value of the hedged position?
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