Question
Portfolio return and standard deviationJamie Wong is thinking of building an investment portfolio containing two exchange traded funds (ETFs). Jamie plans to invest $7,000 in
Portfolio return and standard deviationJamie Wong is thinking of building an investment portfolio containing two exchange traded funds (ETFs). Jamie plans to invest
$7,000
in Vanguard S&P 500 ETF
(VOO)
and
$3,000
in Invesco QQQ Trust
(QQQ).
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:
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.a.Calculate the portfolio return,
rp,
for each of the 6 years assuming that
70%
is invested in
VOO
and
30%
is invested in
QQQ.
b. Calculate the average annual return 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.
Question content area bottom
Part 1
a. The portfolio return for year
2014
is
enter your response here%.
(Round to two decimal places.)
Historical return | ||||
Year | VOO | QQQ | ||
2014 | 13.87% | 18.64% | ||
2015 | 2.53% | 9.85% | ||
2016 | 12.69% | 6.91% | ||
2017 | 22.32% | 32.36% | ||
2018 | 3.74% | 0.59% | ||
2019 | 31.59% | 39.34% |
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