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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Do bonds reduce the overall risk of an investment portfolio?
Let x be a random variable representing annual percent return for Vanguard
Total Stock Index (all stocks). Let y be a random variable representing annual return
for Vanguard Balanced Index (60% stock and 40% bond). For the past several years,
we have the following data (Reference: Morningstar Research Group, Chicago).
x: 11 0 36 21 31 23 24 11 11 21
y: 10 2 29 14 22 18 14 2 3 10
(a) Compute and
(b) Use the results of part (a) to compute the sample mean, variance, and standard
deviation for x and for y.
(c) Compute a 75% Chebyshev interval around the mean for x values and also for
y values. Use the intervals to compare the two funds.
(d) Compute the coefficient of variation for each fund. Use the coefficients of variation
to compare the two funds. If s represents risks and represents expected
return, then can be thought of as a measure of risk per unit of expected
return. In this case, why is a smaller CV better? Explain.
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