The price of a one-year European call option on a non-dividend-paying stock is $6. The price of a one-year European put option on the same stock is $1. The strike price for both the call and the put is $50. The stock price today is $51 and the continuously compounded risk-free rate is 6% per annum. Use the put-call parity to suggest an arbitrage strategy to earn risk-free profits. Specifically, describe the various short and long positions you need to take in the underlying assets and show all the relevant cash flows from this strategy at both origination and expiration. Use a TABLE to show all of your work.

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

The price of a one-year European call option on a non-dividend-paying stock is $6. The price of a one-year European put option on the same stock is $1. The strike price for both the call and the put is $50. The stock price today is $51 and the continuously compounded risk-free rate is 6% per annum.

Use the put-call parity to suggest an arbitrage strategy to earn risk-free profits. Specifically, describe the various short and long positions you need to take in the underlying assets and show all the relevant cash flows from this strategy at both origination and expiration. Use a TABLE to show all of your work.

 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Exchange Rate Risk
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