Portfolio return and standard deviation Jamie Wong is thinking of building an investment portfolio containing two exchange traded funds (ETFs), Jamie plans to invest $6,000 in Vanguard S&P 500 ETF (VOO) and $4,000 in Invesco QQQ Trust (QQ0) Jamie has decided to analyze some historical returns to get a sense for her portfolio's possible future risk and return. Six years of historical annual returns for each ETF are shown in the following table a Calculate the portfolio retum, p. for each of the 6 years assuming that 60% is invested in VOO and 40% is invested in QQQ. b. Calculate the average annual retum for each ETF and the portfolio over the six-year period. e. Calculate the standard deviation of annual retums for each ETF and the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual ETFs? d. Calculate the correlation coefficient for the two ETFs. How would you characterize the correlation of returns of the two ETFs? e. Discuss any likely benefits of diversification achieved by Jamie through creation of the portfolio. a. The portfolio return for year 2014 is%. (Round to two decimal places.) CER

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

Ee 52.

Portfolio return and standard deviation Jamie Wong is thinking of building an investment portfolio containing two exchange traded funds (ETFs). Jamie plans to invest $6,000 in Vanguard S&P
500 ETF (VOO) and $4,000 in Invesco QQQ Trust (QQ0) Jamie has decided to analyze some historical returns to get a sense for her portfolio's possible future risk and return. Six years of historical
annual returns for each ETF are shown in the following table:
a. Calculate the portfolio retur, f. for each of the 6 years assuming that 60% is invested in VOO and 40% is invested in QQQ.
b. Calculate the average annual retum for each ETF and the portfolio over the six-year period.
c. Calculate the standard deviation of annual returns for each ETF and the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual ETFS?
d. Calculate the correlation coefficient for the two ETFs. How would you characterize the correlation of returns of the two ETFs?
e. Discuss any likely benefits of diversification achieved by Jamie through creation of the portfolio
a. The portfolio return for year 2014 is%. (Round to two decimal places.)
Transcribed Image Text:Portfolio return and standard deviation Jamie Wong is thinking of building an investment portfolio containing two exchange traded funds (ETFs). Jamie plans to invest $6,000 in Vanguard S&P 500 ETF (VOO) and $4,000 in Invesco QQQ Trust (QQ0) Jamie has decided to analyze some historical returns to get a sense for her portfolio's possible future risk and return. Six years of historical annual returns for each ETF are shown in the following table: a. Calculate the portfolio retur, f. for each of the 6 years assuming that 60% is invested in VOO and 40% is invested in QQQ. b. Calculate the average annual retum for each ETF and the portfolio over the six-year period. c. Calculate the standard deviation of annual returns for each ETF and the portfolio. How does the portfolio standard deviation compare to the standard deviations of the individual ETFS? d. Calculate the correlation coefficient for the two ETFs. How would you characterize the correlation of returns of the two ETFs? e. Discuss any likely benefits of diversification achieved by Jamie through creation of the portfolio a. The portfolio return for year 2014 is%. (Round to two decimal places.)
Data table
(Click on the icon here in order to copy the contents of the data table below
into a spreadsheet.)
Year
2014
2015
2016
2017
2018
2019
Historical return
VOO
12.55%
2.99%
12.71%
22.25%
-3.32%
31.89%
QQQ
19.44%
8.73%
6.59%
32.67%
-1.72%
39.57%
Transcribed Image Text:Data table (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Year 2014 2015 2016 2017 2018 2019 Historical return VOO 12.55% 2.99% 12.71% 22.25% -3.32% 31.89% QQQ 19.44% 8.73% 6.59% 32.67% -1.72% 39.57%
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Investment in Stocks
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.
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