Back to list of Stocks    See Also: Seasonal Analysis of TPCGenetic Algorithms Stock Portfolio Generator, and Fourier Calculator

Fourier Analysis of TPC (Tutor Perini Corporation Common)


TPC (Tutor Perini Corporation Common) appears to have interesting cyclic behaviour every 228 weeks (2.3005*sine), 152 weeks (2.0876*sine), and 163 weeks (1.8155*cosine).

TPC (Tutor Perini Corporation Common) has an average price of 14.71 (topmost row, frequency = 0).



Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 5/3/1973 to 1/17/2017 for TPC (Tutor Perini Corporation Common), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
014.7144   0 
1.28087 -.51748 (1*2π)/22812,281 weeks
2-5.65839 -9.61448 (2*2π)/22811,141 weeks
3.59639 -.27907 (3*2π)/2281760 weeks
42.43097 1.80612 (4*2π)/2281570 weeks
51.38498 -4.0637 (5*2π)/2281456 weeks
6-.45782 -2.88535 (6*2π)/2281380 weeks
7-2.30051 -.87788 (7*2π)/2281326 weeks
8.29176 .28334 (8*2π)/2281285 weeks
9.40598 .30227 (9*2π)/2281253 weeks
10-.47992 -2.30049 (10*2π)/2281228 weeks
11-.23076 -.2941 (11*2π)/2281207 weeks
12-1.78237 1.18148 (12*2π)/2281190 weeks
13.78793 1.06096 (13*2π)/2281175 weeks
141.8155 .66224 (14*2π)/2281163 weeks
15.45781 -2.0876 (15*2π)/2281152 weeks
16.43309 -.65449 (16*2π)/2281143 weeks
17-.36965 .38328 (17*2π)/2281134 weeks
18.39341 -.23142 (18*2π)/2281127 weeks
19.91922 -.34079 (19*2π)/2281120 weeks
20.09432 -1.10114 (20*2π)/2281114 weeks
21-.27703 -.90198 (21*2π)/2281109 weeks
22-.17979 .41016 (22*2π)/2281104 weeks
23.63385 -.02671 (23*2π)/228199 weeks
24.43653 -1.02433 (24*2π)/228195 weeks
25-.35113 -.95076 (25*2π)/228191 weeks
26-.25102 -.2029 (26*2π)/228188 weeks
27-.06887 .56728 (27*2π)/228184 weeks
28.48412 -.43776 (28*2π)/228181 weeks
29.06886 -.62949 (29*2π)/228179 weeks
30-.55932 -.45109 (30*2π)/228176 weeks
31.41847 -.07638 (31*2π)/228174 weeks
32.17899 .20704 (32*2π)/228171 weeks
33-.20234 -1.1405 (33*2π)/228169 weeks
34-.0369 -.33629 (34*2π)/228167 weeks
35-.16062 .15743 (35*2π)/228165 weeks
36.29753 -.04488 (36*2π)/228163 weeks
37.37456 -.6573 (37*2π)/228162 weeks
38-.36757 -.62599 (38*2π)/228160 weeks
39-.32544 -.45981 (39*2π)/228158 weeks
40-.13864 .01359 (40*2π)/228157 weeks
41-.09014 -.23295 (41*2π)/228156 weeks
42-.22308 -.09138 (42*2π)/228154 weeks
43-.2187 -.28747 (43*2π)/228153 weeks
44.18596 .2514 (44*2π)/228152 weeks
45.02057 .02145 (45*2π)/228151 weeks
46.20487 -.28593 (46*2π)/228150 weeks
47.05842 -.18989 (47*2π)/228149 weeks
48-.21012 -.55986 (48*2π)/228148 weeks
49-.25745 .17259 (49*2π)/228147 weeks
50-.11707 .14642 (50*2π)/228146 weeks
51.50153 .12387 (51*2π)/228145 weeks
52-.13706 -.3018 (52*2π)/228144 weeks
53.03806 -.35848 (53*2π)/228143 weeks
54-.01337 .17075 (54*2π)/228142 weeks
55.04494 -.03734 (55*2π)/228141 weeks
56.13334 -.24128 (56*2π)/228141 weeks
57-.22874 -.2982 (57*2π)/228140 weeks
58-.06112 -.23254 (58*2π)/228139 weeks
59-.01646 .21371 (59*2π)/228139 weeks
60.07658 -.0138 (60*2π)/228138 weeks
61.24458 -.08731 (61*2π)/228137 weeks
62-.27124 -.3491 (62*2π)/228137 weeks
63-.32485 .01083 (63*2π)/228136 weeks
64.32281 .15042 (64*2π)/228136 weeks
65.26528 -.04828 (65*2π)/228135 weeks
66-.01616 -.23048 (66*2π)/228135 weeks
67-.08149 .07991 (67*2π)/228134 weeks
68.09448 -.08 (68*2π)/228134 weeks
69.09713 -.03363 (69*2π)/228133 weeks
70.17605 -.20578 (70*2π)/228133 weeks
71.18809 -.11313 (71*2π)/228132 weeks
72-.03008 -.1178 (72*2π)/228132 weeks
73-.0528 -.33747 (73*2π)/228131 weeks
74-.0404 .07973 (74*2π)/228131 weeks
75.04242 -.01746 (75*2π)/228130 weeks
76.24651 -.03522 (76*2π)/228130 weeks
77.19379 -.11008 (77*2π)/228130 weeks
78.07558 -.2891 (78*2π)/228129 weeks
79-.07454 -.18025 (79*2π)/228129 weeks
80.02764 .08456 (80*2π)/228129 weeks
81.13315 -.12046 (81*2π)/228128 weeks
82.27196 -.39996 (82*2π)/228128 weeks
83.0547 -.16598 (83*2π)/228127 weeks
84-.16209 -.06626 (84*2π)/228127 weeks
85.11725 -.16898 (85*2π)/228127 weeks
86.10189 -.23492 (86*2π)/228127 weeks
87-.10198 -.31944 (87*2π)/228126 weeks
88-.07407 -.18888 (88*2π)/228126 weeks
89-.08532 .08105 (89*2π)/228126 weeks
90.00586 -.1457 (90*2π)/228125 weeks
91.25452 -.26033 (91*2π)/228125 weeks
92-.0563 -.21007 (92*2π)/228125 weeks
93-.1924 -.18076 (93*2π)/228125 weeks
94-.05282 .07264 (94*2π)/228124 weeks
95.02636 -.06859 (95*2π)/228124 weeks
96.09837 -.25749 (96*2π)/228124 weeks
97-.08759 -.16739 (97*2π)/228124 weeks
98.11636 .05512 (98*2π)/228123 weeks
99-.04347 -.03943 (99*2π)/228123 weeks
100.02429 -.22698 (100*2π)/228123 weeks
101-.1074 -.24647 (101*2π)/228123 weeks
102-.07859 -.1224 (102*2π)/228122 weeks
103.01618 -.04629 (103*2π)/228122 weeks
104.04608 .0486 (104*2π)/228122 weeks
105-.0307 -.07752 (105*2π)/228122 weeks
106-.14979 -.33661 (106*2π)/228122 weeks
107-.05573 .00726 (107*2π)/228121 weeks
108-.03142 .30121 (108*2π)/228121 weeks
109.2387 -.0388 (109*2π)/228121 weeks
110.12052 -.36959 (110*2π)/228121 weeks
111-.16514 -.27398 (111*2π)/228121 weeks
112-.05249 .07711 (112*2π)/228120 weeks
113.08064 .03189 (113*2π)/228120 weeks
114.09501 -.14726 (114*2π)/228120 weeks
115.02858 -.33877 (115*2π)/228120 weeks
116-.05586 -.18871 (116*2π)/228120 weeks
117-.1275 -.00998 (117*2π)/228119 weeks
118-.08307 -.00419 (118*2π)/228119 weeks
119.1221 -.089 (119*2π)/228119 weeks
120-.07209 -.18249 (120*2π)/228119 weeks
121-.10576 -.29257 (121*2π)/228119 weeks
122-.07975 -.04124 (122*2π)/228119 weeks
123-.06575 .13369 (123*2π)/228119 weeks
124.04767 .01038 (124*2π)/228118 weeks
125.04744 -.11215 (125*2π)/228118 weeks
126-.0524 -.24492 (126*2π)/228118 weeks
127-.03207 -.11438 (127*2π)/228118 weeks
128-.11727 -.00755 (128*2π)/228118 weeks
129-.10452 -.07499 (129*2π)/228118 weeks
130.05733 -.1301 (130*2π)/228118 weeks
131-.06986 -.01344 (131*2π)/228117 weeks
132-.02225 -.07993 (132*2π)/228117 weeks
133-.09395 -.03975 (133*2π)/228117 weeks
134-.11182 -.1214 (134*2π)/228117 weeks
135-.05132 .04006 (135*2π)/228117 weeks
136.06476 .05878 (136*2π)/228117 weeks
137.11266 -.15548 (137*2π)/228117 weeks
138-.02995 -.26869 (138*2π)/228117 weeks
139-.22337 -.07699 (139*2π)/228116 weeks
140-.10035 .16836 (140*2π)/228116 weeks
141.07466 .05575 (141*2π)/228116 weeks
142.22513 -.21519 (142*2π)/228116 weeks
143.00156 -.14484 (143*2π)/228116 weeks
144-.23966 -.12506 (144*2π)/228116 weeks
145-.07812 .02256 (145*2π)/228116 weeks
146.07918 -.00496 (146*2π)/228116 weeks
147.06675 -.1505 (147*2π)/228116 weeks
148-.12552 -.0521 (148*2π)/228115 weeks
149-.1183 -.0651 (149*2π)/228115 weeks
150.05398 .04308 (150*2π)/228115 weeks
151-.03173 -.03934 (151*2π)/228115 weeks
152.04887 -.17399 (152*2π)/228115 weeks
153-.08677 -.01459 (153*2π)/228115 weeks
154-.06399 -.02501 (154*2π)/228115 weeks
155.06036 -.05963 (155*2π)/228115 weeks
156.02692 -.03376 (156*2π)/228115 weeks
157-.07378 -.1113 (157*2π)/228115 weeks
158-.0149 -.03268 (158*2π)/228114 weeks
159-.03163 .00828 (159*2π)/228114 weeks
160-.00783 -.14922 (160*2π)/228114 weeks
161.01368 -.06475 (161*2π)/228114 weeks
162-.09654 -.08868 (162*2π)/228114 weeks
163.03938 -.04333 (163*2π)/228114 weeks
164-.09505 -.04035 (164*2π)/228114 weeks
165-.05704 -.10193 (165*2π)/228114 weeks
166-.01987 -.02768 (166*2π)/228114 weeks
167.0162 .0145 (167*2π)/228114 weeks
168.03072 -.06913 (168*2π)/228114 weeks
169-.02859 -.16185 (169*2π)/228113 weeks
170-.06176 -.05087 (170*2π)/228113 weeks
171-.0844 .03179 (171*2π)/228113 weeks
172-.02495 -.10319 (172*2π)/228113 weeks
173-.02733 -.0634 (173*2π)/228113 weeks
174-.09573 .00381 (174*2π)/228113 weeks
175.01776 -.03277 (175*2π)/228113 weeks
176.03264 -.03261 (176*2π)/228113 weeks
177-.07544 -.05215 (177*2π)/228113 weeks
178-.13089 -.15431 (178*2π)/228113 weeks
179-.05357 .05133 (179*2π)/228113 weeks
180-.07727 .08068 (180*2π)/228113 weeks
181.05381 -.00289 (181*2π)/228113 weeks
182.03086 .05182 (182*2π)/228113 weeks
183.02779 -.08256 (183*2π)/228112 weeks
184.0175 -.03436 (184*2π)/228112 weeks
185-.11874 -.08649 (185*2π)/228112 weeks
186.01012 .00619 (186*2π)/228112 weeks
187-.00941 .06954 (187*2π)/228112 weeks
188.03897 -.12593 (188*2π)/228112 weeks
189-.01066 -.07788 (189*2π)/228112 weeks
190-.15284 -.0349 (190*2π)/228112 weeks
191.0567 .03892 (191*2π)/228112 weeks
192.01227 .06328 (192*2π)/228112 weeks
193-.0117 -.15856 (193*2π)/228112 weeks
194.00397 -.00714 (194*2π)/228112 weeks
195-.09789 .12895 (195*2π)/228112 weeks
196-.00098 -.03437 (196*2π)/228112 weeks
197.09327 .06171 (197*2π)/228112 weeks
198.01674 -.10253 (198*2π)/228112 weeks
199.02182 -.04533 (199*2π)/228111 weeks
200-.00246 -.00909 (200*2π)/228111 weeks
201.10285 .02032 (201*2π)/228111 weeks
202.0298 -.03828 (202*2π)/228111 weeks
203.02605 -.19144 (203*2π)/228111 weeks
204-.01631 -.08666 (204*2π)/228111 weeks
205-.09446 -.08274 (205*2π)/228111 weeks
206-.02842 -.06102 (206*2π)/228111 weeks
207-.0514 -.04699 (207*2π)/228111 weeks
208-.12683 -.04522 (208*2π)/228111 weeks
209-.08427 .0275 (209*2π)/228111 weeks
210.02228 .10139 (210*2π)/228111 weeks
211.06491 -.01356 (211*2π)/228111 weeks
212.01714 -.1237 (212*2π)/228111 weeks
213-.11552 -.0788 (213*2π)/228111 weeks
214-.03192 -.00418 (214*2π)/228111 weeks
215.03877 .06285 (215*2π)/228111 weeks
216-.03685 -.05466 (216*2π)/228111 weeks
217-.05674 -.10055 (217*2π)/228111 weeks
218-.01786 -.0116 (218*2π)/228110 weeks
219.00797 .03369 (219*2π)/228110 weeks
220.04026 -.0438 (220*2π)/228110 weeks
221.03331 -.03159 (221*2π)/228110 weeks
222-.07841 -.05828 (222*2π)/228110 weeks
223-.09588 -.06988 (223*2π)/228110 weeks
224-.00573 -.00317 (224*2π)/228110 weeks
225-.03709 -.03925 (225*2π)/228110 weeks
226.01724 -.02015 (226*2π)/228110 weeks
227-.05571 .01498 (227*2π)/228110 weeks
228.01177 -.0187 (228*2π)/228110 weeks
229.04328 -.05447 (229*2π)/228110 weeks
230-.03166 -.07924 (230*2π)/228110 weeks
231-.06311 -.01725 (231*2π)/228110 weeks
232-.04855 -.05158 (232*2π)/228110 weeks
233-.07184