Find an Effective Hedge Financial Hedge If a U P* = Pound Sterling Price of the Asset Held by an Asset
Find an effective hedge financial hedge if a U.S.firm holds an asset in Great Britain and faces the following scenario:
P* = Pound sterling price of the asset held by the U.S.firm
P = Dollar price of the same asset
The CFO runs a regression of the form P = a + b × S + e
The regression coefficient beta is calculated as b = Where
Cov(P,S) = 0.25 × ($6,600 - $5,050) × ($2.20 - $2.00) + 0.50 × ($5,000 - $5,050) × ($2.00 - $2.00) + 0.25 × ($3,600 - $5,050) × ($1.80 - $2.00) Cov(P,S) = 77.50 + 0 + 72.50
Cov(P,S) = 150
B = = 7,500
The variance of the exchange rate is calculated as
E(S) = 0.25 × $2.20 + 0.50 × $2.00 + 0.25 × $1.80
= $.55 + $1 + $.45
= $2.00
VAR(S) = 0.25 + 0.50 + 0.25 = 0.01 + 0 + 0.01
= 0.02
The expected value of the investment in U.S.dollars is:
E[P] = 0.25 × $6,600 + 0.50 × $5,000 + 0.25 × $3,600 = $5,050
Which of the following is the most effective hedge financial hedge?
A) Sell £7,500 forward at the 1-year forward rate,F1($/£) ,that prevails at time zero.
B) Buy £7,500 forward at the 1-year forward rate,F1($/£) ,that prevails at time zero.
C) Sell £2,500 forward at the 1-year forward rate,F1($/£) ,that prevails at time zero.
D) 0.25 × £3,000 + 0.50 × £2,500 + 0.25 × £2,000 = £2,500
Correct Answer:
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