Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $98.00 and expires in 95 days. The current price of Up stock is $115.36, and the stock has a standard deviation of 37% per year. The risk-free interest rate is 6.29% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)

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
Topic Video
Question
Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $98.00 and expires in 95 days. The current price of Up stock is $115.36, and the stock has a standard deviation of 37% per year. The risk-free interest rate is 6.29% per year. Up stock pays
no dividends. Use a 365-day year.
a. Using the Black-Scholes formula, compute the price of the call.
b. Use put-call parity to compute the price of the put with the same strike and expiration date.
(Note: Make sure to round all intermediate calculations to at least five decimal places.)
Transcribed Image Text:Rebecca is interested in purchasing a European call on a hot new stock, Up, Inc. The call has a strike price of $98.00 and expires in 95 days. The current price of Up stock is $115.36, and the stock has a standard deviation of 37% per year. The risk-free interest rate is 6.29% per year. Up stock pays no dividends. Use a 365-day year. a. Using the Black-Scholes formula, compute the price of the call. b. Use put-call parity to compute the price of the put with the same strike and expiration date. (Note: Make sure to round all intermediate calculations to at least five decimal places.)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Stock Valuation
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
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