Alex has a portfolio consisting of the below: A borrowing of €100 at the risk-free rate, a long position in a six-month put option on stock AA with an exercise price of €200 (1.e., EX = €200), and . a short position in a six-month put option on stock AA with an exercise price of €100 (i.e., EX = €100). Provide two other combinations of loans, options, and the underlying stock that would give Alex the same payoffs.

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
Question
3.
Alex has a portfolio consisting of the below:
A borrowing of €100 at the risk-free rate,
a long position in a six-month put option on stock AA with an exercise price
of €200 (1.e., EX = €200), and
a short position in a six-month put option on stock AA with an exercise price
of €100 (i.e., EX = €100).
a.
Provide two other combinations of loans, options, and the underlying stock that
would give Alex the same payoffs.
b. Today is 16 December 2021. A pension fund has a $50 million obligation due
exactly 7 years from now and pays 3% interest (compounded annually) on this
obligation. Assume that the term structure is flat.
How many AAPL and MSFT bonds should the pension fund buy to form a portfolio
that will ensure that the pension fund will meet its obligation in 7 years' time?
AAPL bond has a modified duration of 19.85 and MSFT bond has a modified
duration of 3.65.
Use the information provided in the table below. Note that the quoted price is the
clean price.
MSFT
AAPL
Price ($)
Yield (%)
Par value ($)
Modified duration (%)
Last coupon date
Coupon frequency
Day count principle
Maturity
967.606
3
1,000
19.85
08 Aug 2021
annually
30/360
08 Aug 2050
1065.597
3
1,000
3.65
03 May 2021
annually
30/360
03 May 2025
Transcribed Image Text:3. Alex has a portfolio consisting of the below: A borrowing of €100 at the risk-free rate, a long position in a six-month put option on stock AA with an exercise price of €200 (1.e., EX = €200), and a short position in a six-month put option on stock AA with an exercise price of €100 (i.e., EX = €100). a. Provide two other combinations of loans, options, and the underlying stock that would give Alex the same payoffs. b. Today is 16 December 2021. A pension fund has a $50 million obligation due exactly 7 years from now and pays 3% interest (compounded annually) on this obligation. Assume that the term structure is flat. How many AAPL and MSFT bonds should the pension fund buy to form a portfolio that will ensure that the pension fund will meet its obligation in 7 years' time? AAPL bond has a modified duration of 19.85 and MSFT bond has a modified duration of 3.65. Use the information provided in the table below. Note that the quoted price is the clean price. MSFT AAPL Price ($) Yield (%) Par value ($) Modified duration (%) Last coupon date Coupon frequency Day count principle Maturity 967.606 3 1,000 19.85 08 Aug 2021 annually 30/360 08 Aug 2050 1065.597 3 1,000 3.65 03 May 2021 annually 30/360 03 May 2025
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Bonds
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