Assume these are the stock market and Treasury bill returns for a 5-year period:
Year | Stock Market Return (%) | T-Bill Return (%) | ||||||
2011 | −36.43 | 2.40 | ||||||
2012 | 29.20 | 0.80 | ||||||
2013 | 16.36 | 0.17 | ||||||
2014 | 1.68 | 0.09 | ||||||
2015 | 17.16 | 0.11 | ||||||
A. What was the standard deviation of the risk premium? (
Year | Stock Market Return (%) | T-Bill Return (%) | Risk premium = Market return- t bill return |
2011 | -36.43 | 2.4 | -38.83 |
2012 | 29.2 | 0.8 | 28.4 |
2013 | 16.36 | 0.17 | 16.19 |
2014 | 1.68 | 0.09 | 1.59 |
2015 | 17.16 | 0.11 | 17.05 |
Year | Risk premium |
2011 | -38.83% |
2012 | 28.40% |
2013 | 16.19% |
2014 | 1.59% |
2015 | 17.05% |
Average= | 4.88% |
Standard dev= | 26.22% |
Where | |||
Average or Mean = Sum of all observations/Count of all observations | |||
Sample Standard deviation =((∑k=1 to N (observationk – average))/(N-1))^(1/2) |
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