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For both the domestic market and the World_ex Domestic market return series data below, calculate the following historical moments using the full sample period provided:

For both the domestic market and the World_ex Domestic market return series data below, calculate the following historical moments using the full sample period provided:

a) Average arithmetic annual return

b) Average annual excess return

c) Annual Volatility - standard deviation of annual returns (not excess returns)

d) Correlation - correlation between annual returns (not excess returns) of the two indexes These are total return indexes so be sure to take % changes to create returns: Rt = ((Vt / Vt-1) - 1) ). Be sure to use the rate from the end of the previous year as the risk-free return for each return year when calculating excess returns (Excess returnt = Returnt - risk-free ratet-1).

Scenario A data
Source MSCI MSCI FED RESERVE
USA Index World_ex USA 1 YR Tbill
Gross Value Index USD Gross Value Index USD APR Percent (USD)
Date be sure to decimalize (0.1008)
Dec 31, 1983 100.00 100.00 10.08
Dec 31, 1984 105.98 103.47 9.22
Dec 31, 1985 140.69 156.65 7.60
Dec 31, 1986 165.34 259.79 5.95
Dec 31, 1987 171.81 323.60 7.10
Dec 31, 1988 199.15 413.56 9.02
Dec 31, 1989 261.61 460.81 7.76
Dec 31, 1990 256.16 355.69 6.82
Dec 31, 1991 336.41 399.92 4.12
Dec 31, 1992 361.17 352.20 3.61
Dec 31, 1993 397.55 467.06 3.63
Dec 31, 1994 405.49 502.75 7.20
Dec 31, 1995 560.34 561.90 5.18
Dec 31, 1996 695.12 602.33 5.51
Dec 31, 1997 932.07 617.77 5.51
Dec 31, 1998 1218.43 735.81 4.53
Dec 31, 1999 1491.13 943.83 5.98
Dec 31, 2000 1304.21 819.65 5.32
Dec 31, 2001 1147.29 646.25 2.17
Dec 31, 2002 886.77 546.01 1.32
Dec 31, 2003 1144.91 764.47 1.26
Dec 31, 2004 1267.57 923.80 2.75
Dec 31, 2005 1340.08 1061.97 4.38
Dec 31, 2006 1545.37 1340.51 5.00
Dec 31, 2007 1638.52 1513.66 3.34
Dec 31, 2008 1030.05 859.28 0.37
Dec 31, 2009 1309.64 1154.76 0.47
Dec 31, 2010 1511.95 1263.69 0.29
Dec 31, 2011 1542.04 1114.78 0.12
Dec 31, 2012 1790.83 1304.51 0.16
Dec 31, 2013 2374.78 1585.93 0.13
Dec 31, 2014 2692.14 1524.43 0.25
Dec 31, 2015 2727.60 1484.77 0.65
Dec 31, 2016 3044.24 1533.63 0.85
Dec 31, 2017 3711.03 1914.16 1.76
Dec 31, 2018 3543.98 1653.12 2.63
Dec 31, 2019 4665.38 2036.04 1.59
Dec 31, 2020 5662.42 2200.77 0.10
Dec 31, 2021 7189.69 2490.62 0.39
Dec 31, 2022 5790.48 2146.32 4.73
Dec 31, 2023 7359.63 2545.45 4.79

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