Let's say a bank offers the following exchange rates between US Dollar ($), Euro (€), British Pound (£) and Japanese Yen (¥): $/€ 1.20 i.e., €1 equals $1.20 $/£1.40 i.e., £1 equals $1.40 €/£1,16 i.e., £1 equals €1.16 ¥/$120 i.e., $1 equals 120¥ ¥/€140 i.e., €1 equals 140¥ Show how you can make a profit with triangular arbitrage by trading at the above exchange rates by following two alternative strategies. More specifically, the first strategy should only use transactions/conversions between dollar ($), Euro (€) and poundsterling (£), while the second strategy should only use transactions/conversions between dollar ($), Euro (€) and Japanese yen (¥). In both strategies, suppose you start with $1 ($) in your hands. Calculate the profit of each strategy. Which of the two strategies is more advantageous?
Let's say a bank offers the following exchange rates between US Dollar ($), Euro (€), British Pound (£) and Japanese Yen (¥): $/€ 1.20 i.e., €1 equals $1.20 $/£1.40 i.e., £1 equals $1.40 €/£1,16 i.e., £1 equals €1.16 ¥/$120 i.e., $1 equals 120¥ ¥/€140 i.e., €1 equals 140¥ Show how you can make a profit with triangular arbitrage by trading at the above exchange rates by following two alternative strategies. More specifically, the first strategy should only use transactions/conversions between dollar ($), Euro (€) and poundsterling (£), while the second strategy should only use transactions/conversions between dollar ($), Euro (€) and Japanese yen (¥). In both strategies, suppose you start with $1 ($) in your hands. Calculate the profit of each strategy. Which of the two strategies is more advantageous?
Chapter3: International Financial Markets
Section: Chapter Questions
Problem 1IEE
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Let's say a bank offers the following exchange rates between US Dollar ($), Euro (€), British Pound (£) and Japanese Yen (¥):
$/€ 1.20 i.e., €1 equals $1.20
$/£1.40 i.e., £1 equals $1.40
€/£1,16 i.e., £1 equals €1.16
¥/$120 i.e., $1 equals 120¥
¥/€140 i.e., €1 equals 140¥
- Show how you can make a profit with triangular arbitrage by trading at the above exchange rates by following two alternative strategies. More specifically, the first strategy should only use transactions/conversions between dollar ($), Euro (€) and poundsterling (£), while the second strategy should only use transactions/conversions between dollar ($), Euro (€) and Japanese yen (¥). In both strategies, suppose you start with $1 ($) in your hands. Calculate the profit of each strategy. Which of the two strategies is more advantageous?
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