Question

The 1 year forward rate is CAD 1.36/Euro. The Canadian risk free rate is 3.4%, the...

The 1 year forward rate is CAD 1.36/Euro. The Canadian risk free rate is 3.4%, the Euro risk free rate is 2.6%. If the Law of One Price holds, what should the spot exchange rate be, in CAD per Euro?

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Answer #1

Forward rate = Spot rate (1+ Ci) /(1+Ei)

1.36 = Spot rate (1+ .034) /(1+.026)

1.36 =spot rate * 1.034 /1.026

Spot rate = 1.36*1.026 /1.034

             = CAD 1.34948 per Euro (rounded to 1.3495 )

Note:

since the quote asked for in question is CAD per Euro so we will take Canadian interest rate in numerator and Euro in denominator .

Formula :

Forward rate x/y = spot rate x/y [(1+ix)/(1+iy)]

where X =CAD

Y=Euro

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