Suppose you are given the following exchange rates:
0.0094/0.0098 $/¥
60.7492/60.7512 ¥/CHF
0.5837/0.5841 $/CHF
Find the triangular arbitrage profit and describe the steps involved if you can start with 1 million CHF
Answer-
Given
The following are
Bid/ Ask prices
0.0094 / 0.0098 $/¥
60.7492 / 60.7512 ¥/CHF
0.5837 / 0.5841 $/CHF
We follow up the bid and multiply and down the ask and divide rule
Sarting with 1 million CHF
Converting CHF to $
This is up the bid and multiply
we get 1 million x 0.5837 = 1000000 x 0.5837 = $
583700
Now we convert $ to ¥
This is down the ask and divide
we get $ 583700 / 0.0098 = ¥ 59561224.49
Now we convert ¥ back to CHF
This is down the ask and divide rule
we get 59561224.49 / 60.7512 = CHF 980412.3127
We ge an arbitrage loss of CHF 1000000 - 980412.3127 = - CHF 19587.687
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