Homework Answers
| Answer 1 | ||
| Year | Return (%) | worth of one dollar at the end of the year |
| 2001 | -11.85 | 0.8815 |
| 2002 | -21.97 | 0.6618 |
| 2003 | 28.36 | 0.9454 |
| 2004 | 10.74 | 1.0528 |
| 2005 | 4.83 | 1.1011 |
| 2006 | 15.61 | 1.2572 |
| 2007 | 5.48 | 1.312 |
| 2008 | -36.55 | 0.9465 |
| 2009 | 26.94 | 1.2159 |
| 2010 | 18 | 1.3959 |
From the above calculation it is stated that Investment in one dollar on January 2001 will become 1.3959 dollar ten years later.
| 2. Geometric Average Return | ||||
| Year | Return (%) | 1+R | (1+R1)(1+R2)………..(1+R10) | [(1+R1)(1+R2)………..(1+R10)]^(1/n) |
| 2001 | -11.85 | 0.8815 | 1.187904116 | 1.01736815 |
| 2002 | -21.97 | 0.7803 | ||
| 2003 | 28.36 | 1.2836 | ||
| 2004 | 10.74 | 1.1074 | ||
| 2005 | 4.83 | 1.0483 | ||
| 2006 | 15.61 | 1.1561 | ||
| 2007 | 5.48 | 1.0548 | ||
| 2008 | -36.55 | 0.6345 | ||
| 2009 | 26.94 | 1.2694 | ||
| 2010 | 18 | 1.18 | ||
Geometric Average return for the 10 years is 1.73% per year.
| 3. Arithmetic Average Return | |||
| Year | Return (%) | Total return | Average Annual Return |
| 2001 | -11.85 | 39.59 | 3.959 |
| 2002 | -21.97 | ||
| 2003 | 28.36 | ||
| 2004 | 10.74 | ||
| 2005 | 4.83 | ||
| 2006 | 15.61 | ||
| 2007 | 5.48 | ||
| 2008 | -36.55 | ||
| 2009 | 26.94 | ||
| 2010 | 18 | ||
Arithmetic Average return for 10 years 3.959%
| 4. Standard Deviation | |||
| Year | Return (%) | R-R Bar | Square |
| 2001 | -11.85 | -15.809 | 249.924481 |
| 2002 | -21.97 | -25.929 | 672.313041 |
| 2003 | 28.36 | 24.401 | 595.408801 |
| 2004 | 10.74 | 10.74 | 115.3476 |
| 2005 | 4.83 | 4.83 | 23.3289 |
| 2006 | 15.61 | 15.61 | 243.6721 |
| 2007 | 5.48 | 5.48 | 30.0304 |
| 2008 | -36.55 | -36.55 | 1335.9025 |
| 2009 | 26.94 | 26.94 | 725.7636 |
| 2010 | 18 | 18 | 324 |
| Sum | 4315.691423 | ||
| Variance | 479.5212692 | ||
| Standard Deviation | 21.89797409 | ||
Answer 5.
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