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A US-Based Corporation Has Decided to Make an Investment in Norwegian

question 15

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A US-based corporation has decided to make an investment in Norwegian Kroner of NOK 500 Million (NOK = Norwegian Kroner) in 3 months.The company wishes to hedge changes in the the US dollar-NOK exchange rate using forward contracts on either the euro (EUR) or the Swiss Franc (CHF) .The company makes the following estimates: -If EUR forwards are used: The standard deviation of quarterly changes in the USD/NOK spot exchange rate is 0.005,the standard deviation of quarterly changes in the USD/EUR forward rate is 0.025,and the correlation between the changes is 0.90.
-If CHF forwards are used: The standard deviation of quarterly changes in the USD/NOK spot exchange rate is 0.005,the standard deviation of quarterly changes in the USD/CHF forward rate is 0.020,and the correlation between the changes is 0.80.
The current USD/NOK spot rate is 0.160 (i.e. ,USD 0.160 per NOK) ,the current 3-month USD/EUR forward rate is 1.36,and the current 3-month USD/CHF forward rate is 1.04.
If the company wishes to carry out a minimum-variance hedge,which currency should it use for this purpose?


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