The relationship between spot and forward is as follows:
F = S (1+r1/1+r2)T
where:
F = forward rate
S = spot rate
r1 = simple interest rate of the term currency
r2 = simple interest rate of the base currency
T = tenor (calculated according to the appropriate day count convention)
The forward points or swap points are quoted as the difference between forward and spot, F - S, and is expressed as the following:
F - S = S [(1+r1/1+r2)T - 1] ~ S (e ((r1-r2)T) - 1)
where r1 and r2 are small. Thus, the absolute value of the swap points increases when the interest rate differential gets larger, and vice versa.
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