Suppose you are given the following exchange rates:
0.0094/0.0098 $/¥
60.7492/60.7512 ¥/CHF
0.5837/0.5841 $/CHF
Is there a triangular arbitrage opportunity?
No there is no triangular opportunity.
Lets us invest 1 $ with that amount of CHF that can be bought
=1/0.5841=1.7120 CHF
Amount of Yen purchased with CHF =1.7120*60.7492 =104.0048
Yen
Amount of Dollars obtained from 104.0048 Yen =104.0048*0.0094
=0.977645
So there is loss in dollar
Another way is Lets us invest 1 $ with that amount of YEN that can
be bought =1/0.0.0098=102.0408 Yen
Amount of CHF purchased with Yen =102.0408/60.7512=1.6797 CHF
Amount of Dollars obtained from 1.6797 CHF =1.6797*0.5837
=0.9804
So there is loss in dollar in both cases
Hence there is no triangular opportunity
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