This is an assignment about the stock project. Be sure to read every question in the word document carefully and do not leave out any word
Stock Project Stock Prices
| IBM | MSFT | S&P500 | ||||||
| Date | Adj Close | Returns | Adj Close | Returns | Adj Close | Returns | ||
| 1/1/13 | 83.1630095 | 11.8642395 | 1498.109985 | |||||
| 2/1/13 | 82.245674 | -1.12% | 12.0155115 | 1.26% | 1514.680054 | 1.09% | ||
| 3/1/13 | 87.7201765 | 6.24% | 12.467986 | 3.63% | 1569.189941 | 3.47% | ||
| 4/1/13 | 83.2951125 | -5.31% | 14.4246875 | 13.56% | 1597.569946 | 1.78% | ||
| 5/1/13 | 85.548767 | 2.63% | 15.2091095 | 5.16% | 1630.73999 | 2.03% | ||
| 6/1/13 | 78.9628675 | -8.34% | 15.157777 | -0.34% | 1606.280029 | -1.52% | ||
| 7/1/13 | 80.5866625 | 2.01% | 13.972888 | -8.48% | 1685.72998 | 4.71% | ||
| 8/1/13 | 75.310341 | -7.01% | 14.65749 | 4.67% | 1632.969971 | -3.23% | ||
| 9/1/13 | 76.8952105 | 2.06% | 14.7077415 | 0.34% | 1681.550049 | 2.89% | ||
| 10/1/13 | 74.416176 | -3.33% | 15.6490755 | 6.02% | 1756.540039 | 4.27% | ||
| 11/1/13 | 74.611336 | 0.26% | 16.8511525 | 7.13% | 1805.810059 | 2.73% | ||
| 12/1/13 | 78.305908 | 4.72% | 16.6583385 | -1.16% | 1848.359985 | 2.30% | ||
| 1/1/14 | 73.7596055 | -6.16% | 16.8498115 | 1.14% | 1782.589966 | -3.69% | ||
| 2/1/14 | 77.3039625 | 4.58% | 17.059103 | 1.23% | 1859.449951 | 4.13% | ||
| 3/1/14 | 80.8004225 | 4.33% | 18.3893545 | 7.23% | 1872.339966 | 0.69% | ||
| 4/1/14 | 82.4711 | 2.03% | 18.1246565 | -1.46% | 1883.949951 | 0.62% | ||
| 5/1/14 | 77.3877565 | -6.57% | 18.3669185 | 1.32% | 1923.569946 | 2.06% | ||
| 6/1/14 | 76.5337145 | -1.12% | 18.839857 | 2.51% | 1960.22998 | 1.87% | ||
| 7/1/14 | 80.9246675 | 5.43% | 19.4994795 | 3.38% | 1930.670044 | -1.53% | ||
| 8/1/14 | 81.1906585 | 0.33% | 20.525049 | 5.00% | 2003.369995 | 3.63% | ||
| 9/1/14 | 80.6218035 | -0.71% | 21.0760405 | 2.61% | 1972.290039 | -1.58% | ||
| 10/1/14 | 69.821541 | -15.47% | 21.344263 | 1.26% | 2018.050049 | 2.27% | ||
| 11/1/14 | 68.8744585 | -1.38% | 21.735237 | 1.80% | 2067.560059 | 2.39% | ||
| 12/1/14 | 68.6060715 | -0.39% | 21.250147 | -2.28% | 2058.899902 | -0.42% | ||
| 1/1/15 | 65.557205 | -4.65% | 18.4823665 | -14.98% | 1994.98999 | -3.20% | ||
| 2/1/15 | 69.247505 | 5.33% | 20.0606825 | 7.87% | 2104.5 | 5.20% | ||
| 3/1/15 | 69.113167 | -0.19% | 18.7336905 | -7.08% | 2067.889893 | -1.77% | ||
| 4/1/15 | 73.7594755 | 6.30% | 22.410393 | 16.41% | 2085.51001 | 0.84% | ||
| 5/1/15 | 73.053261 | -0.97% | 21.5902765 | -3.80% | 2107.389893 | 1.04% | ||
| 6/1/15 | 71.11705 | -2.72% | 20.4738675 | -5.45% | 2063.110107 | -2.15% | ||
| 7/1/15 | 70.8241045 | -0.41% | 21.656395 | 5.46% | 2103.840088 | 1.94% | ||
| 8/1/15 | 64.659401 | -9.53% | 20.181717 | -7.31% | 1972.180054 | -6.68% | ||
| 9/1/15 | 63.9089165 | -1.17% | 20.660227 | 2.32% | 1920.030029 | -2.72% | ||
| 10/1/15 | 61.753193 | -3.49% | 24.571949 | 15.92% | 2079.360107 | 7.66% | ||
| 11/1/15 | 61.4622345 | -0.47% | 25.370165 | 3.15% | 2080.409912 | 0.05% | ||
| 12/1/15 | 61.2378005 | -0.37% | 26.072201 | 2.69% | 2043.939941 | -1.78% | ||
| 1/1/16 | 55.5287475 | -10.28% | 25.8889235 | -0.71% | 1940.23999 | -5.34% | ||
| 2/1/16 | 58.305401 | 4.76% | 23.9104805 | -8.27% | 1932.22998 | -0.41% | ||
| 3/1/16 | 68.0802155 | 14.36% | 26.1410675 | 8.53% | 2059.73999 | 6.19% | ||
| 4/1/16 | 65.603363 | -3.78% | 23.6041105 | -10.75% | 2065.300049 | 0.27% | ||
| 5/1/16 | 69.1096345 | 5.07% | 25.085577 | 5.91% | 2096.949951 | 1.51% | ||
| 6/1/16 | 69.54805 | 0.63% | 24.388815 | -2.86% | 2098.860107 | 0.09% | ||
| 7/1/16 | 73.598694 | 5.50% | 27.015009 | 9.72% | 2173.600098 | 3.44% | ||
| 8/1/16 | 72.801399 | -1.10% | 27.386776 | 1.36% | 2170.949951 | -0.12% | ||
| 9/1/16 | 73.4162825 | 0.84% | 27.624613 | 0.86% | 2168.27002 | -0.12% | ||
| 10/1/16 | 71.0314635 | -3.36% | 28.7372705 | 3.87% | 2126.149902 | -1.98% | ||
| 11/1/16 | 74.9738235 | 5.26% | 28.9003315 | 0.56% | 2198.810059 | 3.30% | ||
| 12/1/16 | 77.412178 | 3.15% | 30.003294 | 3.68% | 2238.830078 | 1.79% | ||
| 1/1/17 | 81.3902895 | 4.89% | 31.215212 | 3.88% | 2278.870117 | 1.76% | ||
| 2/1/17 | 83.86203 | 2.95% | 30.891712 | -1.05% | 2363.639893 | 3.59% | ||
| 3/1/17 | 81.855217 | -2.45% | 31.99222 | 3.44% | 2362.719971 | -0.04% | ||
| 4/1/17 | 75.3449705 | -8.64% | 33.2551995 | 3.80% | 2384.199951 | 0.90% | ||
| 5/1/17 | 71.744362 | -5.02% | 33.9255485 | 1.98% | 2411.800049 | 1.14% | ||
| 6/1/17 | 73.014786 | 1.74% | 33.675434 | -0.74% | 2423.409912 | 0.48% | ||
| 7/1/17 | 68.6670225 | -6.33% | 35.51725 | 5.19% | 2470.300049 | 1.90% | ||
| 8/1/17 | 67.888611 | -1.15% | 36.528538 | 2.77% | 2471.649902 | 0.05% | ||
| 9/1/17 | 69.5891955 | 2.44% | 36.585636 | 0.16% | 2519.360107 | 1.89% | ||
| 10/1/17 | 73.896553 | 5.83% | 40.853718 | 10.45% | 2575.26001 | 2.17% | ||
| 11/1/17 | 71.5270235 | -3.31% | 41.3399545 | 1.18% | 2584.840088 | 0.37% | ||
| 12/1/17 | 74.325119 | 3.76% | 42.2238195 | 2.09% | 2673.610107 | 3.32% | ||
| Exercise one | ||||||||
| Average return | -0.32% | 1.96% | 0.94% | |||||
| Standard deviation | 0.05 | 0.06 | 0.03 | |||||
| Variance | 0.26% | 0.33% | 0.07% | |||||
| Covariance | 0.07% | |||||||
| Corelation | 0.23 | |||||||
| Exercise two | ||||||||
| Average return | -0.32% | 1.96% | ||||||
| Standard deviation | 5.14% | 0.06 | ||||||
| Portfolio | 0% | 100% | ||||||
| Average return | 1.96% | |||||||
| Standard deviation | 5.77% | |||||||
| Standard deviation | Expected return | |||||||
| Portfolio | 10% | 90% | 0-100% | 5.77% | 1.96% | |||
| Average return | 1.73% | 10-90% | 5.71% | 1.73% | ||||
| Standard deviation | 5.71% | 20-80% | 5.64% | 1.51% | ||||
| 30-70% | 5.58% | 1.28% | ||||||
| Portfolio | 20.00% | 80.0% | 40-60% | 5.52% | 1.05% | |||
| Average return | 1.51% | 50-50% | 5.46% | 0.82% | ||||
| Standard deviation | 5.64% | 60-40% | 5.39% | 0.59% | ||||
| 70-30% | 5.33% | 0.36% | ||||||
| Portfolio | 30.00% | 70.0% | 80-20% | 5.27% | 0.14% | |||
| Average return | 1.28% | 90-10% | 5.21% | -0.09% | ||||
| Standard deviation | 5.58% | 100-0% | 5.14% | -0.32% | ||||
| Portfolio | 40.00% | 60.0% | ||||||
| Average return | 1.05% | |||||||
| Standard deviation | 5.52% | |||||||
| Portfolio | 50.00% | 50.0% | ||||||
| Average return | 0.82% | |||||||
| Standard deviation | 5.46% | |||||||
| Portfolio | 60.00% | 40.0% | ||||||
| Average return | 0.59% | |||||||
| Standard deviation | 5.39% | |||||||
| Portfolio | 70.00% | 30.0% | ||||||
| Average return | 0.36% | |||||||
| Standard deviation | 5.33% | |||||||
| Portfolio | 80.00% | 20.0% | Standard deviation | Average return | Risk free rate | |||
| Average return | 0.14% | 5.77% | 1.96% | 0.0015 | ||||
| Standard deviation | 5.27% | 5.71% | 1.73% | 0.0015 | ||||
| 5.64% | 1.51% | 0.0015 | ||||||
| Portfolio | 90.00% | 10.0% | 5.58% | 1.28% | 0.0015 | |||
| Average return | -0.09% | 5.52% | 1.05% | 0.0015 | ||||
| Standard deviation | 5.21% | 5.46% | 0.82% | 0.0015 | ||||
| 5.39% | 0.59% | 0.0015 | ||||||
| Portfolio | 100.00% | 0.0% | 5.33% | 0.36% | 0.0015 | |||
| Average return | -0.32% | 5.27% | 0.14% | 0.0015 | ||||
| Standard deviation | 5.14% | 5.21% | -0.09% | 0.0015 | ||||
| Exercise three | ||||||||
| Part 1 | ||||||||
| Minimum variance portfolio | ||||||||
| Portfolio | 80% | 20% | ||||||
| Average return | 0.14% | |||||||
| Standard deviation | 5.27% | |||||||
| Sharpe ratio | -0.15 | |||||||
| Part 11 | ||||||||
| Risk free rate | 0.15% | |||||||
| Optimal portfolio | ||||||||
| CAL | ||||||||
| Returns | Std deviation | |||||||
| 0.14% | 5.27% | |||||||
| 1.96% | 5.77% | |||||||
| CAL | 3.64 | |||||||
| Part 111 | ||||||||
| The market falls at the point 5.27% and the 0.015. |
Returns against standard deviation
0.0576944585278052 0.0570683293589871 0.0564422001901691 0.055816071021351 0.0551899418525329 0.0545638126837148 0.0539376835148967 0.0533115543460786 0.0526854251772605 0.0520592960084425 0.0514331668396244 0.0196196939988989 0.017338129758511 0.015056565518123 0.012775001277735 0.010493437037347 0.00821187279695906 0.00593030855657109 0.00364874431618312 0.00136718007579514 -0.000914384164592835 -0.00319594840498081
Graph of returns against risk
0.0576944585278052 0.0570683293589871 0.0564422001901691 0.055816071021351 0.0551899418525329 0.0545638126837148 0.0539376835148967 0.0533115543460786 0.0526854251772605 0.0520592960084425 0.0196196939988989 0.017338129758511 0.015056565518123 0.012775001277735 0.010493437037347 0.00821187279695906 0.00593030855657109 0.00364874431618312 0.00136718007579514 -0.000914384164592835 0.0576944585278052 0.0570683293589871 0.0564422001901691 0.055816071021351 0.0551899418525329 0.0545638126837148 0.0539376835148967 0.0533115543460786 0.0526854251772605 0.0520592960084425 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015 0.0015
Sheet1
| Question 3 part 1V | |||
| IBM | MSFT | ||
| 2013 | -7.17% | 31.80% | |
| 2014 | -15.10% | 23.73% | |
| 2015 | -12.36% | 15.19% | |
| 2016 | 21.06% | 11.90% | |
| 2017 | -5.29% | 33.13% | |
| Correlation of +1 | |||
| IBM Returns | MSFT | ||
| 2013 | -7.17% | -9.17% | |
| 2014 | -15.10% | -17.10% | |
| 2015 | -12.36% | -14.36% | |
| 2016 | 21.06% | 23.06% | |
| 2017 | -5.29% | -7.29% | |
| Question 3 part V | |||
| Correlation of -1 | |||
| IBM Returns | MSFT | ||
| 2013 | -7.17% | 7.17% | |
| 2014 | -15.10% | 15.10% | |
| 2015 | -12.36% | 12.36% | |
| 2016 | 21.06% | -21.06% | |
| 2017 | -5.29% | 5.29% |
Returns with a positive correlation
IBM Returns 2013.0 2014.0 2015.0 2016.0 2017.0 -0.0717483071302416 -0.150968930867226 -0.123587409892748 0.210639567312847 -0.0528958753165002 MSFT 2013.0 2014.0 2015.0 2016.0 2017.0 -0.0917483071302416 -0.170968930867226 -0.143587409892748 0.230639567312847 -0.0728958753165002
Returns with a negative correlation
IBM Returns 2013.0 2014.0 2015.0 2016.0 2017.0 -0.0717483071302416 -0.150968930867226 -0.123587409892748 0.210639567312847 -0.0528958753165002 MSFT 2013.0 2014.0 2015.0 2016.0 2017.0 0.0717483071302416 0.150968930867226 0.123587409892748 -0.210639567312847 0.0528958753165002