Question
The following six (6) questions are based on the following data: Year Rp Rm Rf 2000 18.1832 -24.9088 5.112 2001 -3.454 -15.1017 5.051 2002 47.5573
The following six (6) questions are based on the following data:
Year | Rp | Rm | Rf |
2000 | 18.1832 | -24.9088 | 5.112 |
2001 | -3.454 | -15.1017 | 5.051 |
2002 | 47.5573 | 20.784 | 3.816 |
2003 | 28.7035 | 9.4163 | 4.2455 |
2004 | 29.8613 | 8.7169 | 4.2182 |
2005 | 11.2167 | 16.3272 | 4.3911 |
2006 | 32.2799 | 14.5445 | 4.7022 |
2007 | -41.0392 | -36.0483 | 4.0232 |
2008 | 17.6082 | 9.7932 | 2.2123 |
2009 | 14.1058 | 16.5089 | 3.8368 |
2010 | 16.1978 | 8.0818 | 3.2935 |
2011 | 11.558 | 15.1984 | 1.8762 |
2012 | 42.993 | 27.1685 | 1.7574 |
2013 | 18.8682 | 17.2589 | 3.0282 |
2014 | -1.4678 | 5.1932 | 2.1712 |
2015 | 9.2757 | 4.4993 | 2.2694 |
2016 | 8.5985 | 23.624 | 2.4443 |
When performing calculations in the following problems, use the numbers in the table as-is. I.e., do NOT convert 8.5985 to 8.5985% (or 0.085985). Just use plain 8.5985.
1. Using the basic market model regression, R p = + R m + , what is the beta of this portfolio? Yes, this is an opportunity to practice regression analysis. You can use Excel or other tool of choice.
2. For precision, find the portfolio beta using the excess return market model:
R p R f = + ( R m R f ) +
[Hint: compute annual excess returns first, then run regression.]
3. Using the excess return beta from the previous problem, what is Jensen's alpha for the portfolio?
[Hint: use Equation (17.6) from Moore (2015)]
4. What is the portfolio's M2 measure?
5. What is the Sharpe Ratio of the portfolio using the following equation:
6. Following Equation (22-10) of the Jones (2015) book, compute the Sortino Ratio of the portfolio using a minimal acceptable return of R M A = 3. To calculate D D p:
- Compute R p R M A each year.
- n = number of years R p R M A < 0.
- D D p = 1 n 1 ( R p R M A ) 2 for the years when
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