Bus5Sbf Statistics For Business And Assessment Answer
b. What is the probability of observing average return of at least 4% in both stocks
c. What is the likelihood of loss in a sample of 36 periods for both stocks
Before investing in one of the two stocks based on higher risk-return relationship, you further want to determine
whether both stocks have same population average return. Perform an appropriate hypothesis test using information in your actual sample of 56 observations and report your findings. Also, which stock will you prefer and why.
Create two new columns in Excel for excess return on your preferred stock (yt) and excess market return (xt) by subtracting the 10-year T-Bill rate from both series as follows.
Excess return on your preferred stock: yt = rt - rf,t
Excess return on market: xt = rM,t - rf,t.
Date | Yahoo | S&P 500 | Close | Yahoo Returns | Google Returns | S & P Retuns | Excess returns (Market) | Excess returns -Yahoo (Preferable Stock) | |
01-06-2012 | 15.83 | 578.481812 | 1362.160034 | 1.659 | 0.0632 | 8.7274 | 1.2519 | -0.2401 | -1.4288 |
01-07-2012 | 15.84 | 631.236938 | 1379.319946 | 1.492 | -7.8098 | 7.9127 | 1.9571 | 0.3951 | -9.3718 |
01-08-2012 | 14.65 | 683.214233 | 1406.579956 | 1.562 | 8.6898 | 9.6505 | 2.3947 | 0.7577 | 7.0528 |
01-09-2012 | 15.98 | 752.434204 | 1440.670044 | 1.637 | 5.2419 | -10.3521 | -1.9988 | -3.6848 | 3.5559 |
01-10-2012 | 16.84 | 678.437378 | 1412.160034 | 1.686 | 10.8503 | 2.6215 | 0.2843 | -1.3217 | 9.2443 |
01-11-2012 | 18.77 | 696.457886 | 1416.180054 | 1.606 | 5.8460 | 1.2819 | 0.7043 | -1.0517 | 4.0900 |
01-12-2012 | 19.9 | 705.443237 | 1426.189941 | 1.756 | -1.3661 | 6.6063 | 4.9198 | 2.9348 | -3.3511 |
01-01-2013 | 19.629999 | 753.620972 | 1498.109985 | 1.985 | 8.2117 | 5.8479 | 1.1000 | -0.7880 | 6.3237 |
01-02-2013 | 21.309999 | 799.006348 | 1514.680054 | 1.888 | 9.9100 | -0.8788 | 3.5355 | 1.6835 | 8.0580 |
01-03-2013 | 23.530001 | 792.015564 | 1569.189941 | 1.852 | 4.9741 | 3.7539 | 1.7924 | 0.1174 | 3.2991 |
01-04-2013 | 24.73 | 822.312378 | 1597.569946 | 1.675 | 6.1552 | 5.5032 | 2.0550 | -0.1090 | 3.9912 |
01-05-2013 | 26.299999 | 868.834656 | 1630.73999 | 2.164 | -4.5507 | 1.0448 | -1.5113 | -3.9893 | -7.0287 |
01-06-2013 | 25.129999 | 877.959595 | 1606.280029 | 2.478 | 11.1351 | 0.8348 | 4.8278 | 2.2348 | 8.5421 |
01-07-2013 | 28.09 | 885.319397 | 1685.72998 | 2.593 | -3.5142 | -4.7108 | -3.1798 | -5.9288 | -6.2632 |
01-08-2013 | 27.120001 | 844.581238 | 1632.969971 | 2.749 | 20.1374 | 3.3681 | 2.9316 | 0.3166 | 17.5224 |
01-09-2013 | 33.169998 | 873.511841 | 1681.550049 | 2.615 | -0.6958 | 16.2614 | 4.3630 | 1.8210 | -3.2378 |
01-10-2013 | 32.939999 | 1027.758301 | 1756.540039 | 2.542 | 11.5690 | 2.7760 | 2.7663 | 0.0253 | 8.8280 |
01-11-2013 | 36.98 | 1056.688843 | 1805.810059 | 2.741 | 8.9442 | 5.6080 | 2.3289 | -0.6971 | 5.9182 |
01-12-2013 | 40.439999 | 1117.641602 | 1848.359985 | 3.026 | -11.6023 | 5.2374 | -3.6231 | -6.2911 | -14.2703 |
01-01-2014 | 36.009998 | 1177.736572 | 1782.589966 | 2.668 | 7.1267 | 2.8943 | 4.2213 | 1.5633 | 4.4687 |
01-02-2014 | 38.669998 | 1212.321655 | 1859.449951 | 2.658 | -7.4327 | -8.6376 | 0.6908 | -2.0322 | -10.1557 |
01-03-2014 | 35.900002 | 1112.000977 | 1872.339966 | 2.723 | 0.1392 | -75.0103 | 0.6182 | -2.0298 | -2.5088 |
01-04-2014 | 35.950001 | 525.218018 | 1883.949951 | 2.648 | -3.6831 | 6.1185 | 2.0812 | -0.3758 | -6.1401 |
01-05-2014 | 34.650002 | 558.357056 | 1923.569946 | 2.457 | 1.3758 | 2.7117 | 1.8879 | -0.6281 | -1.1402 |
01-06-2014 | 35.130001 | 573.704895 | 1960.22998 | 2.516 | 1.9172 | -0.6417 | -1.5195 | -4.0755 | -0.6388 |
01-07-2014 | 35.810001 | 570.034973 | 1930.670044 | 2.556 | 7.2691 | 0.0000 | 3.6964 | 1.3534 | 4.9261 |
01-08-2014 | 38.509998 | 570.034973 | 2003.369995 | 2.343 | 5.6538 | 1.0026 | -1.5635 | -4.0715 | 3.1458 |
01-09-2014 | 40.75 | 575.779175 | 1972.290039 | 2.508 | 12.2272 | -3.2173 | 2.2936 | -0.0414 | 9.8922 |
01-10-2014 | 46.049999 | 557.549255 | 2018.050049 | 2.335 | 11.6503 | -3.1340 | 2.4237 | 0.2297 | 9.4563 |
01-11-2014 | 51.740002 | 540.346497 | 2067.560059 | 2.194 | -2.4060 | -2.8891 | -0.4197 | -2.5897 | -4.5760 |
01-12-2014 | 50.509998 | 524.95874 | 2058.899902 | 2.17 | -13.8209 | 1.5308 | -3.1533 | -4.8283 | -15.4959 |
01-01-2015 | 43.990002 | 533.056519 | 1994.98999 | 1.675 | 0.6571 | 4.3706 | 5.3439 | 3.3419 | -1.3449 |
01-02-2015 | 44.279999 | 556.871094 | 2104.5 | 2.002 | 0.3607 | -1.8800 | -1.7549 | -3.6889 | -1.5733 |
01-03-2015 | 44.439999 | 546.499573 | 2067.889893 | 1.934 | -4.2990 | -1.6902 | 0.8485 | -1.1975 | -6.3450 |
01-04-2015 | 42.57 | 537.340027 | 2085.51001 | 2.046 | 0.8654 | -0.9781 | 1.0437 | -1.0513 | -1.2296 |
01-05-2015 | 42.939999 | 532.109985 | 2107.389893 | 2.095 | -8.8834 | -2.2041 | -2.1236 | -4.4586 | -11.2184 |
01-06-2015 | 39.290001 | 520.51001 | 2063.110107 | 2.335 | -6.9011 | 18.3918 | 1.9550 | -0.2500 | -9.1061 |
01-07-2015 | 36.669998 | 625.609985 | 2103.840088 | 2.205 | -8.4758 | 1.9000 | -6.4625 | -8.6625 | -10.6758 |
01-08-2015 | 33.689999 | 637.609985 | 1972.180054 | 2.2 | -15.3013 | -4.6861 | -2.6799 | -4.7399 | -17.3613 |
01-09-2015 | 28.91 | 608.419983 | 1920.030029 | 2.06 | 20.8720 | 15.5540 | 7.9719 | 5.8209 | 18.7210 |
01-10-2015 | 35.619999 | 710.809998 | 2079.360107 | 2.151 | -5.2151 | 4.3752 | 0.0505 | -2.1675 | -7.4331 |
01-11-2015 | 33.810001 | 742.599976 | 2080.409912 | 2.218 | -1.6401 | 2.1686 | -1.7686 | -4.0376 | -3.9091 |
01-12-2015 | 33.259998 | 758.880005 | 2043.939941 | 2.269 | -11.9626 | -2.1215 | -5.2068 | -7.1378 | -13.8936 |
01-01-2016 | 29.51 | 742.950012 | 1940.23999 | 1.931 | 7.4423 | -6.2739 | -0.4137 | -2.1537 | 5.7023 |
01-02-2016 | 31.790001 | 697.77002 | 1932.22998 | 1.74 | 14.6618 | 6.5428 | 6.3905 | 4.6045 | 12.8758 |
01-03-2016 | 36.810001 | 744.950012 | 2059.73999 | 1.786 | -0.5721 | -7.2273 | 0.2696 | -1.5494 | -2.3911 |
01-04-2016 | 36.599998 | 693.01001 | 2065.300049 | 1.819 | 3.5958 | 5.9805 | 1.5208 | -0.3132 | 1.7618 |
01-05-2016 | 37.939999 | 735.719971 | 2096.949951 | 1.834 | -1.0066 | -6.1119 | 0.0911 | -1.3969 | -2.4946 |
01-06-2016 | 37.560001 | 692.099976 | 2098.860107 | 1.488 | 1.6634 | 10.5087 | 3.4990 | 2.0410 | 0.2054 |
01-07-2016 | 38.189999 | 768.789978 | 2173.600098 | 1.458 | 11.2796 | -0.2266 | -0.1220 | -1.6900 | 9.7116 |
01-08-2016 | 42.75 | 767.049988 | 2170.949951 | 1.568 | 0.8154 | 1.3262 | -0.1235 | -1.7315 | -0.7926 |
01-09-2016 | 43.099998 | 777.289978 | 2168.27002 | 1.608 | -3.6625 | 0.9284 | -1.9617 | -3.7957 | -5.4965 |
01-10-2016 | 41.549999 | 784.539978 | 2126.149902 | 1.834 | -1.2838 | -3.4361 | 3.3604 | 0.9924 | -3.6518 |
01-11-2016 | 41.02 | 758.039978 | 2198.810059 | 2.368 | -5.8996 | 1.8015 | 1.8037 | -0.6753 | -8.3786 |
01-12-2016 | 38.669998 | 771.820007 | 2238.830078 | 2.479 | 0.5930 | 4.5823 | 0.8451 | -1.6049 | -1.8570 |
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