Question
You decide to investigate the volatility of John Deere stock price using the Market Model. The market model is Y r = 0 + rXr
You decide to investigate the volatility of John Deere stock price using the "Market Model." The market model is Y r = 0 + rXr + where Y r is the return on the asset (John Deere stock, in this case) and Xr is the return on the market or a suitable proxy such as the S&P 500. In the Practice Final Exam Workbook, you will find 61 monthly returns for the S&P 500 as well as John Deere stock. a. What is your estimated regression equation? Comment on the fit of the model. b. What is the estimated slope parameter (estimate of r ) for John Deere? How would you interpret it? c. Report the hypothesis test for significance of the overall model. Specifically, state your hypothesis, test statistic, and conclusions at = .05 .
Month | JD Stock Price | JD Monthly Stock Return | S&P 500 Monthly Return |
1 | 46.875 | 0.047486 | 0.024828 |
2 | 54.625 | 0.165333 | 0.041518 |
3 | 51.625 | -0.05492 | 0.067281 |
4 | 48.75 | -0.05569 | 0.022203 |
5 | 49.25 | 0.010256 | 0.000346 |
6 | 55.875 | 0.134518 | 0.038577 |
7 | 52 | -0.06935 | -0.04789 |
8 | 51.625 | -0.00721 | 0.044859 |
9 | 51.875 | 0.004843 | 0.019649 |
10 | 53.375 | 0.028916 | -0.01914 |
11 | 56.625 | 0.06089 | 0.01186 |
12 | 48.375 | -0.1457 | -0.04393 |
13 | 48 | -0.00775 | 0.111588 |
14 | 50.125 | 0.044271 | -0.0199 |
15 | 51 | 0.017456 | 0.009565 |
16 | 51.125 | 0.002451 | -0.02183 |
17 | 49.625 | -0.02934 | 0.027893 |
18 | 45.875 | -0.07557 | 0.000964 |
19 | 42.625 | -0.07085 | -0.01736 |
20 | 42 | -0.01466 | 0.039374 |
21 | 38.875 | -0.07441 | -0.024 |
22 | 43.625 | 0.122186 | 0.009106 |
23 | 39.5 | -0.09456 | 0.002106 |
24 | 39.125 | -0.00949 | 0.030262 |
25 | 43.75 | 0.118211 | 0.010108 |
26 | 46.375 | 0.06 | 0.007046 |
27 | 52 | 0.121294 | 0.010484 |
28 | 53.125 | 0.021635 | 0.018697 |
29 | 60.25 | 0.134118 | -0.02542 |
30 | 63.125 | 0.047718 | 0.022717 |
31 | 66.375 | 0.051485 | 0.000755 |
32 | 63.625 | -0.04143 | -0.00533 |
33 | 72.875 | 0.145383 | 0.034432 |
34 | 72.375 | -0.00686 | -0.00999 |
35 | 77.25 | 0.067358 | 0.019393 |
36 | 70.875 | -0.08252 | -0.01291 |
37 | 74 | 0.044092 | 0.010091 |
38 | 80.5 | 0.087838 | 0.032501 |
39 | 84.375 | 0.048137 | -0.03005 |
40 | 84.375 | 0 | -0.04575 |
41 | 76.625 | -0.09185 | 0.011531 |
42 | 69.75 | -0.08972 | 0.012419 |
43 | 67.625 | -0.03047 | -0.02681 |
44 | 70.125 | 0.036969 | 0.031467 |
45 | 74.25 | 0.058824 | 0.037643 |
46 | 68.625 | -0.07576 | -0.0269 |
47 | 71.625 | 0.043716 | 0.020834 |
48 | 64.25 | -0.10297 | -0.03951 |
49 | 66.25 | 0.031128 | 0.012299 |
50 | 71.25 | 0.075472 | 0.024278 |
51 | 76.5 | 0.073684 | 0.036074 |
52 | 81.25 | 0.062091 | 0.027329 |
53 | 82 | 0.009231 | 0.02796 |
54 | 86.5 | 0.054878 | 0.036312 |
55 | 85.625 | -0.01012 | 0.021279 |
56 | 89.875 | 0.049635 | 0.031776 |
57 | 85.625 | -0.04729 | -0.00032 |
58 | 81.375 | -0.04964 | 0.040097 |
59 | 89.375 | 0.09831 | -0.00498 |
60 | 33 | 0.107692 | 0.041049 |
61 | 35.25 | 0.068182 | 0.017444 |
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