One of the theories regarding initial public offering (IPO) pricing is that the initial return...
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One of the theories regarding initial public offering (IPO) pricing is that the initial return y (the percentage change from offer to open price) on an IPO depends on the price revision x (the percentage change from pre-offer to offer price). Another factor that may influence the initial return is a high-tech dummy variable that equals 1 for high-tech firms and 0 otherwise. The following table shows a portion of the data on 264 IPO firms from January 2001 through September 2004.
Initial Return
Price Revision
High-Tech
36.42
11.55
0
19.51
23.11
0
-2.67
24.50
1
excel data file:
Initial Return
Price Revision
High-tech
36.42
11.55
0
19.51
-23.11
0
2.35
-0.83
0
6.68
-43.04
1
0
-13.69
0
1.07
0
1
17.45
0
1
0
-24.16
0
0
-20.45
0
0
-3.35
0
-3.54
-7.14
0
13.75
7.97
0
5.89
1.78
0
16.95
9.48
1
6.56
-41.5
1
18.36
-33.1
1
5.11
4.73
1
-0.21
-46.15
1
6.67
-13.58
0
13.83
12.12
1
-28.61
-24.45
0
-10.07
13.52
0
32.57
32.63
1
12.57
-0.35
0
-8.27
-6.01
1
4.36
-45.42
1
3.56
-18.56
1
0
-24.21
0
16.49
9.38
0
8.05
0
1
12.12
0
0
9.79
-6.94
1
4.98
-18.13
0
14.85
-1.54
0
-0.62
-24.66
1
14.84
0
0
1.9
0
1
12.18
10.86
0
24.8
9.45
0
38.76
28.83
0
27.85
9.49
1
0
-6.98
0
3.63
-22.91
1
14.46
-26.65
0
11.05
3.39
0
0
0
0
8.57
6.68
1
-5.7
-3.49
0
10.74
9.8
1
0
2.58
1
1.97
-11.5
0
4.98
-20.83
1
11.65
5.4
1
0
-6.66
0
0.45
-8.04
0
0
-29.52
0
4.1
-7.02
1
31.45
22.05
0
11.48
8.33
0
4.14
-26.97
1
11.42
-26.4
1
0
-0.73
0
7.77
-3.77
0
31.29
19.6
0
39.73
34.03
1
-0.98
-37.03
1
12.62
1.39
0
2.98
0
0
38.05
20.92
0
4.83
-4.8
1
1.86
-18.24
0
0.91
0
0
16.77
6.67
1
0
-22.52
0
-2
-30.29
1
20.69
16.19
1
-13.91
-16.59
1
0
-12.44
0
-2.66
-3.04
1
11.99
0.36
0
25.24
11.04
1
13.59
-41.27
1
41.64
13.34
0
7.3
-37.71
0
11.08
-10.65
0
-2.98
0
0
0
-18.59
0
-0.97
-10.67
0
0
-26.13
1
7.35
-8.08
0
4.15
36.28
0
42.87
14.99
1
17.71
5.1
0
10.7
0
0
33.84
37.79
1
0
-29.54
1
3.06
-10.27
0
7.21
0
0
20.43
7.96
0
1.26
-13.68
0
11.03
3.18
0
12.67
-29.37
1
14.75
7.91
0
17.73
-18.33
1
5.61
8.09
1
8.32
-11.13
0
11.92
1.59
0
5.01
-8.7
0
11.08
-6.34
0
7.15
-0.43
0
1.9
-5.3
1
1.53
-2.64
1
0
0
0
0
-24.07
0
11.82
-34.42
1
40.7
43.44
1
0
-25.35
0
15.92
10.11
1
15.57
19.02
0
38.18
14.48
1
-8.67
-19.13
0
44.49
12.56
1
35
20.54
0
8.18
0.8
0
0
-11.82
0
9.87
0
0
0
-9.46
1
28.51
6.52
0
0
-13.35
0
0.51
-28.8
1
13.96
-24.67
1
0.03
-11.25
1
0
-14.98
0
39.79
-43.31
1
4.22
6.68
1
0
-24.62
0
21.7
-13.33
0
28.39
9.28
0
7.04
8.9
0
6.02
-4.55
1
-3.68
-6.49
0
-2.17
-2.42
0
13.01
-1.46
0
10.64
5.44
1
-0.84
-42.38
1
16.22
0
0
3.04
17.15
0
0
-28.97
0
2.4
-51.56
1
3.49
-23.49
1
9.57
0
1
1.57
-52.41
1
23.12
-0.13
0
-1.45
-9.67
1
4.81
-16.9
1
8.67
-4.89
0
10.44
0
0
22.52
18.26
0
-1.27
-22.35
0
18.41
3.74
1
-2.05
5.29
0
-1.55
-10.51
1
0
-10.17
1
5.08
-9.85
1
9.42
10.84
0
0
7.79
0
17.64
11.01
0
7.65
14.7
0
0
0
0
-0.93
-33.24
1
42.01
-45.93
1
3.24
-25.6
1
37.48
25.52
1
5.27
-5.4
1
3.3
-26.06
0
4.04
-7.58
0
18.21
-1.98
1
4.13
1.52
1
-4.92
-8.6
0
10.9
-24.36
0
1.65
-14.08
0
0
15.13
0
6.61
-7.55
0
8.81
16.72
0
0
-8.64
0
11.99
6.86
0
9.32
-23.95
1
5.48
-8.12
1
6.84
0
0
19.56
-21.4
1
0.04
-8.37
1
-2.19
0
0
8.19
2.67
1
-1.16
-12.55
0
18.18
0
0
-1.5
-1.58
0
-0.1
-16.82
0
12.44
5.66
0
5.18
0
0
12.18
0
0
18.85
7.79
0
3.07
-6.33
0
6.35
-48.81
1
6.02
0
0
-2.76
129.75
0
0
9.28
0
9.57
-10.7
0
2.9
-33.64
1
1.64
-16.83
1
0
-23.6
0
-1
-3.98
0
3.26
-14.88
0
20.52
23.26
1
2.42
-4.09
1
0
-2.31
0
23.97
8.81
1
0
-15.01
0
19.63
6.67
0
6.33
-58.01
0
30.88
-9.44
0
0
2.95
1
0.47
-19.14
0
-2.24
-11.12
0
0
-44.49
1
16.09
9.73
1
4.35
-12.24
0
8.13
0
0
17.19
0
0
4.48
1.63
1
8.48
-10.54
0
7.61
6.83
1
0
-20.84
0
0
-14.31
0
4.97
-27.78
1
16.31
32.94
1
4.66
10.96
0
3.69
-40.38
1
0
0
0
1.25
-27.88
0
3.78
-27.45
0
16.35
-0.68
0
27.52
0
0
-0.08
-29.08
1
-0.95
-1.54
1
16.81
-19.77
1
4
0
0
0
-4.34
0
12.54
12.84
0
6.54
-3.47
0
9.8
10.6
0
21.66
7.37
0
0
-9.9
0
0.97
0.46
0
18.58
-21.38
1
18.4
34.78
0
11.63
-17.97
0
0
-41.27
0
10.11
-39.33
1
10.3
-31.44
1
6.9
7.01
0
31.62
9.44
0
0
-10.78
0
18.89
15.35
0
-2.67
-24.5
1
a-1. Estimate y =o + 1x + 2d + where the dummy variable d equals 1 for firms that are high-tech. (Round your answers to 2 decimal places.)
= + Price Revision + High-Tech
a-2. Use the estimated model to predict the initial return of a high-tech firm with a 10% price revision. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)
Predicted return of a high-tech firm:
Answer & Explanation
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