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?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
icon
Related questions
icon
Concept explainers
Question

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¥

  1. 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?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Instruments of Foreign Exchange Market
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education