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The following table contains the historic returns from large stocks and long-term Treasury bonds over the last 20 years. Analyze the risk-return trade-off that would

The following table contains the historic returns from large stocks and long-term Treasury bonds over the last 20 years. Analyze the risk-return trade-off that would have characterized these portfolios.

Year Large Stock Long-Term T-Bonds T-Bills
2000 11.71 14.49 5.89
2001 11.42 4.03 3.78
2002 21.13 14.66 1.63
2003 31.77 1.28 1.02
2004 11.92 5.19 1.20
2005 6.05 3.10 2.96
2006 15.39 2.27 4.79
2007 5.71 9.64 4.67
2008 36.87 17.67 1.47
2009 28.36 5.83 0.10
2010 17.49 7.45 0.12
2011 0.48 16.60 0.04
2012 16.34 3.59 0.06
2013 35.23 6.90 0.03
2014 11.72 10.15 0.02
2015 0.08 1.07 0.01
2016 13.49 0.70 0.1886
2017 22.29 2.80 0.7914
2018 5.22 0.04 1.7066
2019 30.43 8.2622 2.15

Required:

a. Calculate the average rate of return and standard deviation of the "Excess returns" after a continuous compounding transformation was performed. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Weiight in Stocks Weigfht in bonds

0 1

.1 .9

.2 .8

.3 .7

.4 .6

.5 .5

.6 .4

.7 .3

.8 .2

.9 .1

1 0

d. What were the average return and standard deviation of the minimum-variance combination of stocks and bonds? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Weight in stocks weight in bonds portfolio mean Portfolio standard dev.

Minimum Variance: .1938 .8062

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