Question
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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