Using the following annual returns, calculate the estimates of the arithmetic mean returns, the variances, and the standard deviations for assets X and Y. Also calculate the estimates of the covariance and correlation between X and Y. These five years are a sample of the entire population of returns for X and Y. Year 2001 2002 2003 2004 2005 Returns X 11% 6% -8% 28% 13% Y 36% -7% 2% -12% 43% A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What was its arithmetic mean and geometric mean returns over that period? What was the standard deviation of its returns over this six-year period?

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
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Using the following annual returns, calculate the estimates of the arithmetic mean returns, the
variances, and the standard deviations for assets X and Y. Also calculate the estimates of the
covariance and correlation between X and Y. These five years are a sample of the entire
population of returns for X and Y.
Year
2001
2002
2003
2004
2005
Returns
X
11%
6%
-8%
28%
13%
Y
36%
-7%
2%
-12%
43%
A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What
was its arithmetic mean and geometric mean returns over that period? What was the standard
deviation of its returns over this six-year period?
Transcribed Image Text:Using the following annual returns, calculate the estimates of the arithmetic mean returns, the variances, and the standard deviations for assets X and Y. Also calculate the estimates of the covariance and correlation between X and Y. These five years are a sample of the entire population of returns for X and Y. Year 2001 2002 2003 2004 2005 Returns X 11% 6% -8% 28% 13% Y 36% -7% 2% -12% 43% A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What was its arithmetic mean and geometric mean returns over that period? What was the standard deviation of its returns over this six-year period?
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