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Foreign Currency Risk Premium
Reading 68, p. 497, Example 5.
It's taken me a little while to understand this, and I wanted to put it into my own words. Any comments/corrections would be appreciated.
1. Expected return on Arlandian stocks (unhedged)
Swap your dollars for francs. Buy Arlandian stocks.
Arlandian stocks go up by 6%.
Now swap your francs back to dollars. Your francs are worth 3% more dollars than they were before. Gain an extra 3%.
Total gains (dollars): 9%.
2. Expected return on Arlandian stocks (hedged)
To hedge the position in Arlandian stocks, we need to sell francs forward.
The interest rate differential between the US and Arlandia is 2% (5% in US vs 3% in Arlandia).
Holding dollars at 5% should provide the same returns as exchanging for francs, holding them at 3%, and then converting back to dollars.
Therefore the forward rate should be 2% higher than the spot rate. This can be locked in, giving a total hedged return of 6% plus 2% = 8%.
3. Foreign currency risk premium
The expected appreciation of the franc is 3%. However, only 2% can be locked in today. So if you want to hedge your future supply of francs, it will cost you 1% of expected appreciation. Speculators or those who have an ongoing demand for francs can take the other side of the tride, buying them forward for 2% against the dollar. They will most likely have profitable contracts. |
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