Seagull Company and Swan Company are both service compa- nies. Their stock returns for the past three years were: Seagull: -5%, 15%, 20%; Swan: 8%, 8%, 20%. i) Calculate the mean return and variance for each company. ii) Calculate the covariance between the returns of the companies and the standard deviations of the returns to the companies. iii) Calculate the correlation coefficient between the returns of the two companies. iv) If Seagull and Swan are combined into a portfolio with 50% of the funds invested in each stock, calculate the expected return on the portfolio. v) What is the variance and standard deviation of such a portfolio (as described in part iv)?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Seagull Company and Swan Company are both service compa-
nies. Their stock returns for the past three years were: Seagull:
-5%, 15%, 20%; Swan: 8%, 8%, 20%.
i) Calculate the mean return and variance for each company.
ii) Calculate the covariance between the returns of the companies
and the standard deviations of the returns to the companies.
iii) Calculate the correlation coefficient between the returns of
the two companies.
iv) If Seagull and Swan are combined into a portfolio with 50%
of the funds invested in each stock, calculate the expected return
on the portfolio.
v) What is the variance and standard deviation of such a portfolio
(as described in part iv)?
Transcribed Image Text:Seagull Company and Swan Company are both service compa- nies. Their stock returns for the past three years were: Seagull: -5%, 15%, 20%; Swan: 8%, 8%, 20%. i) Calculate the mean return and variance for each company. ii) Calculate the covariance between the returns of the companies and the standard deviations of the returns to the companies. iii) Calculate the correlation coefficient between the returns of the two companies. iv) If Seagull and Swan are combined into a portfolio with 50% of the funds invested in each stock, calculate the expected return on the portfolio. v) What is the variance and standard deviation of such a portfolio (as described in part iv)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Equality of Variances
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman