Question
Lao Chen, the portfolio manager of one of Shanghais largest investment company, China Invest International, is advising local clients on prospective stock investments in the
Lao Chen, the portfolio manager of one of Shanghais largest investment company, China Invest International, is advising local clients on prospective stock investments in the US markets. Since you previously worked for a reputable investment firm in North America and, therefore, have gained extensive knowledge of the US stock markets, Mr. Chen requests your analytical input. Specifically, you are being asked to prepare an overview of the historic risk and return characteristics of the well-known S&P 500 stock index. Mr. Lee would also like you to present a risk/return comparison of large and small company stocks and to prepare a portfolio example to demonstrate to clients the concept of the Security Market Line. To that extent, perform the following tasks using the last 20 years of data provided in the following table:
|
| Annual returns in percent: |
| |
Year | Large Company Stocks | Small Company Stocks | S&P500 Index | Treasury Bills |
1994 | 1.32 | -3.34 | -2.32 | 4.39 |
1995 | 37.58 | 33.21 | 13.73 | 5.61 |
1996 | 22.96 | 16.50 | 46.94 | 5.14 |
1997 | 33.36 | 22.36 | 24.69 | 5.19 |
1998 | 28.58 | -2.55 | 30.54 | 4.86 |
1999 | 21.04 | 21.26 | 8.97 | 4.80 |
2000 | -9.10 | -3.02 | -2.04 | 5.98 |
2001 | -11.89 | -1.03 | -17.26 | 3.33 |
2002 | -22.10 | -21.58 | -24.29 | 1.61 |
2003 | 28.89 | 47.25 | 32.19 | 0.94 |
2004 | 10.88 | 18.33 | 4.43 | 1.14 |
2005 | 4.91 | 4.55 | 8.36 | 2.79 |
2006 | 15.79 | 18.29 | 12.36 | 4.97 |
2007 | 5.49 | 7.42 | -4.15 | 4.52 |
2008 | -37.00 | -40.54 | -38.47 | 1.24 |
2009 | 26.46 | 43.89 | 23.49 | 0.15 |
2010 | 15.06 | 16.91 | 12.64 | 0.14 |
2011 | 5.53 | -1.80 | 0.00 | 0.03 |
2012 | 7.26 | 15.91 | 13.29 | 0.05 |
2013 | 26.50 | 38.32 | 29.60 | 0.07 |
1. Compute the arithmetic mean return for large company stocks and the corresponding standard deviation.
2. Determine the coefficient of variation for large company stocks and interpret your results.
3. Use the return data provided in the box and repeat steps 1 and 2 above for the small company stocks and the S&P 500 index and compare the risk/return relationships based on the coefficient of variation (CV).
4. Calculate the beta of both large and small company stocks relative to the S&P 500 index and interpret your result.
5. Form an equally weighted portfolio of large and small stocks and compute the Reward-to-Risk Ratio (the slope of the Security Market Line).
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