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My question is when given the nominal rate and inflation do we always adjust for inflation by subtracting (the approximation)? In this case it is close 9% vs 8.91%, but would it ever make a difference between two answer choices on the test?

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You want to use the real required rate of return, so just subtract out inflation. they do the same thing in derivatives where they use the linear approximation for currency appreciation/depreciation instead of using the exact calculation.

Inflation in US 5%
Inflation in UK 2%

thus you expect UK to appreciate by 3% even though the exact calc is

[1+rDC/1+rFC] - 1= [1.05/1.03] -1 = 2.94%

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