You are a U.S. investor and wish to buy 10,000 shares of Baguette Inc. You can buy them on the Paris Stock Exchange or on London Stock Exchange. You ask the brokers to quote you net prices (no commissions paid). There are no taxes on foreign shares listed in London. Here are the quotes:
London (in pounds) 56 3/4 - 57 1/4
Paris (in euros) 78 1/2 - 78 3/4
dollars per pound 1.5000 - 1.5040
euros per dollar 0.91100 - 0.91200
What is your total dollar cost if you buy the Baguette shares at
the cheaper place?
Are there arbitrage opportunities between London and Paris?
Explain.
USA | Paris | London | ||
Dollars | Euros | Pounds | ||
Stock | Buy | 78.75 | 57.25 | |
Sell | 78.5 | 56.75 | ||
Dollars per pound | Buy | 1.504 | ||
Sell | 1.5 | |||
Euros per Dollar | Buy | 0.912 | ||
Sell | 0.911 | |||
If bought in pounds, Pound required = 10,000 * 57.25 | ||||
572500 | ||||
Pound | $ | |||
1 | 1.504 | |||
572500 | 8,61,040 | |||
If bought in Euros, Eurosrequired = 10,000 * 78.75 | ||||
787500 | ||||
Euros | $ | |||
0.912 | 1 | |||
787500 | 8,63,487 | |||
Thus, Pound option is cheaper. | ||||
Dollar Cost = 8,61,040 $ |
There are arbitrage Opportunities since costs under both the options are not same.
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