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13#
发表于 2011-7-11 19:45
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This how I see it:
You are the French guy holding UK portfolio.
Any return will be calculated as follows:
Return in domestic/home currency [RDC] = Return in foreign currency [RFC] + Return from exchange rate changes [RXR]
RDC = RFC + RXR
Where RXR can be estimated as RDC - RFC based on the IRP
Now remember that an appreciation of the GBP (in this case) is good for the French investor, as he will be getting more EUR for each GBP he invested, once he converts (translates) his UK portfolio returns into EUR.
Going back to your example
REUR = 5%
RGBP = 1%
From the French guy point of view.
RDC = RFC + RXR ------->>>> REUR = RGBP + RXR
Market Expectation/IRP
RXR = RDC - RFC ------->>>> RXR = REUR - RGBP = 5% - 1% = 4%
(Meaning that the Euro, based on actual market rates should depreciate about 4%, which is a good thing for him)
Manager Expectations
BUT, he has different expectations, and believes that the EUR will depreciate less, let’s say only by 2%.
Now he has two options: to hedge or not to hedge
To hedge
He goes long a forward and “locks up” the exchange rate. He agreed to convert a certain amount of GBP to EUR assuming a depreciation of the EUR relative to the GBP of 4%
RDC = RFC + RXR = RFC + (RDC - RFC) = 1% + (5%- 1%) = 5%
Not to hedge
He does nothing, and if his expectations are correct, at the end of the period the depreciation of the EUR relative to the dollar is only 2%; then his return can be calculated as follows:
RDC = RFC + RXR = 1% + 2% = 3%
By, hedging his position, he has effectively locked up a 5% return, which is higher than the 3%.
UK Point of View
The opposite is true for UK investors holding EUR denominated portfolios. Since the GBP will appreciate, the RXR will be a negative number. Since the expectation is for less depreciation than what the IRP indicates, they are better off by not hedging.
RDC = RFC + RXR
RGBP = REUR + RXR
RXR = RDC - RFC ------->>>> RXR = RGBP – REUR = 1% - 4% = - 4%
Hedging: RDC = RFC + RXR = RFC + (RDC - RFC) = 5% + (1%- 5%) = 1%
Not Hedging: RDC = RFC + RXR = 5% + (-2%) = 3% |
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