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I might not get this right but this is my understanding:
Statement 1
“As a result, movements in world oil prices in U.S. dollar terms and the U.S. dollar value of the home country’s currency are strongly positively correlated.”
Would mean:
oil price up (down) <--> domestic currency against USD up (down)
Statement 2
“A decline in oil prices would reduce the com- pany’s sales in U.S. dollar terms, all else being equal”
Would mean:
oil prices up (down) <--> company’s sales in USD up (down)
Statement 3
“On the other hand, the appreciation of the home country’s currency relative to the U.S. dollar would reduce the company’s sales in terms of the home currency.”
Would mean:
domestic currency against USD up (down) <--> company’s sales in domestic currency down (up)
Hence:
domestic currency against USD down -> oil price down -> company’s sales in USD down
Hedge Market Risk:
domestic currency against USD down -> oil price down (hedged) -> company’s sales in USD down
Even if you hedged the oil price, the company’s sale in USD will still go down as mentioned in Statement 2 (oil prices is positively correlated with company’s sales in USD)
Hedge Currency Risk:
domestic currency against USD down (hedged) -> oil price down -> company’s sales in USD down
The company may hedged the domestic currency against USD for the amount of sale, however though the amount is hedged when domestic currency depreciates oil prices will go down which will affect the company’s sales in USD. Though you may argue that the depreciated domestic currency (stronger USD will result in higher domestic currency amount after conversion) might offset the reduce company’s sales in USD.
Hope that helps.