A U.S. broker has posted the following quotes (in USD) for the share of an electronic firm:
Buying rate =100 and selling rate =110.
The exchange rates for one euro are: Buying (bid) $1.4550 and Selling (ask) = $1.4950 net.
Assume you are an investor living in Europe and answer the following questions:
How much will you pay in dollars if you buy 1000 shares of that firm? How much will you pay in euro?
Buying 1000 shares at $ 100 per share, paying in Dollars
100 * 1000 = 100000
= $ 100000
Buying 1000 shares at $ 100 per share, paying in Euros
100 * 1000 = 100000
= 100000 / 1.455
= € 68729 How much will you receive (dollars and euros) if you sell 1000 shares?
Selling 1000 shares at $ 110 per share, receiving in Dollars
110 * 1000 = 110000
= $ 110000
Selling 1000 shares at $ 110 per share, receiving in Euros
110 * 1000 = 110000
= 110000 / 1.455
= € 73579
What will be the total costs and net proceeds in each case (dollar and euros), if the broker charges a 0.2% commission for each transaction?
When Buying Shares
Transaction in Dollars
100000 x 0.2 % = $ 200
100000 + 200 = $ 100200
Transaction in Euros
68729 * 0.2 % = € 137
68729 + 137 = € 68866
When Selling Shares
Transaction in Dollars
110000 x 0.2 % = $ 220
110000 + 220 = $ 110220
Transaction in Euros
73579 * 0.2 % = € 147
73579 + 147 = € 73726
You are the manager of an American pension fund and decide, on January 5, to buy ten thousand shares of British Airways listed in London. You sell them on February 5. Here are the quotes that you can use:
January 5
British Airways share price (£): Buying = 3.50 and selling = 3.52
Exchange rate (dollars per pound): Buying =1.5000 and selling = 1.5040
February 5
British Airways share price (£): Buying = 3.81 and selling 3.83
Exchange rate (dollars per pound): Buying =1.4500 and selling = 1.4540
You must pay the U.K. broker a commission of 0.2% of the transaction value (on the purchase and on the sale).
What is your sterling rate of return on the operation?
Shares bought on Jan 5
10000 x 3.5
= £ 35000
Broker Commission
35000 x 0.2 % = £ 70
Total Cot when Buying Shares
35000 + 70 = £ 35070
Shares Sold on Feb 5
10000 x 3.83
= £ 38300
Broker Commission
38300 x 0.2 % = £ 76.6
Total Cost when Selling Shares
38300 + 76.6 = £ 38376.6
Profit
38376.6 - 35070 = £ 3306.6
Rate of Return
Profit / initial investment x 100
Rate of Return = 3306.6 / 35070 x 100
R = 9.4 %
What is your dollar rate of return on the operation?