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

Fourier Analysis of PGRX (PROSPECT GBL RS CMN)


PGRX (PROSPECT GBL RS CMN) appears to have interesting cyclic behaviour every 28 weeks (13.6928*cosine), 23 weeks (12.4524*sine), and 25 weeks (11.9948*sine).

PGRX (PROSPECT GBL RS CMN) has an average price of 81.3 (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 3/22/2011 to 1/9/2017 for PGRX (PROSPECT GBL RS CMN), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
081.30079   0 
189.90565 111.509 (1*2π)/304304 weeks
2-14.2913 98.44312 (2*2π)/304152 weeks
3-41.40612 37.01079 (3*2π)/304101 weeks
4-25.61889 5.01903 (4*2π)/30476 weeks
5-8.09093 -3.84046 (5*2π)/30461 weeks
65.03458 2.44659 (6*2π)/30451 weeks
7.08438 13.51274 (7*2π)/30443 weeks
8-11.79654 7.15132 (8*2π)/30438 weeks
9-7.82898 -7.17506 (9*2π)/30434 weeks
106.22219 -8.9309 (10*2π)/30430 weeks
1113.69279 1.09007 (11*2π)/30428 weeks
129.26685 11.99477 (12*2π)/30425 weeks
13-2.20761 12.45241 (13*2π)/30423 weeks
14-5.56495 2.44203 (14*2π)/30422 weeks
152.55932 -1.75723 (15*2π)/30420 weeks
166.68716 4.98293 (16*2π)/30419 weeks
171.70543 9.07369 (17*2π)/30418 weeks
18-1.81632 7.36069 (18*2π)/30417 weeks
19-3.99802 5.96259 (19*2π)/30416 weeks
20-5.81083 1.66492 (20*2π)/30415 weeks
21-2.17049 -2.39398 (21*2π)/30414 weeks
221.91435 -.80742 (22*2π)/30414 weeks
231.9993 1.75183 (23*2π)/30413 weeks
241.19428 2.87175 (24*2π)/30413 weeks
25-.91301 3.46933 (25*2π)/30412 weeks
26-2.63575 .5015 (26*2π)/30412 weeks
27.36366 -2.02213 (27*2π)/30411 weeks
283.19214 -.0025 (28*2π)/30411 weeks
292.67687 2.64059 (29*2π)/30410 weeks
30.55124 3.74264 (30*2π)/30410 weeks
31-2.1687 2.26383 (31*2π)/30410 weeks
32-1.34806 -1.77014 (32*2π)/30410 weeks
333.22424 -1.54674 (33*2π)/3049 weeks
343.37698 2.65125 (34*2π)/3049 weeks
35.13991 2.79059 (35*2π)/3049 weeks
36.47955 .53554 (36*2π)/3048 weeks
372.13732 1.54512 (37*2π)/3048 weeks
38.93546 3.03985 (38*2π)/3048 weeks
39-.51838 2.65979 (39*2π)/3048 weeks
40-1.75661 1.76361 (40*2π)/3048 weeks
41-2.34743 -.9259 (41*2π)/3047 weeks
42.58237 -3.65662 (42*2π)/3047 weeks
435.14404 -2.18208 (43*2π)/3047 weeks
446.45752 2.82283 (44*2π)/3047 weeks
452.87537 7.13595 (45*2π)/3047 weeks
46-3.18195 6.41686 (46*2π)/3047 weeks
47-5.56168 .90034 (47*2π)/3046 weeks
48-2.67403 -3.35746 (48*2π)/3046 weeks
491.29409 -3.90723 (49*2π)/3046 weeks
504.47143 -2.22213 (50*2π)/3046 weeks
515.82712 1.69318 (51*2π)/3046 weeks
523.09259 5.27124 (52*2π)/3046 weeks
53-.88846 4.70006 (53*2π)/3046 weeks
54-2.07498 2.01112 (54*2π)/3046 weeks
55-1.33254 .36845 (55*2π)/3046 weeks
56-.38814 -.27018 (56*2π)/3045 weeks
57.44579 -.36448 (57*2π)/3045 weeks
581.10799 -.2101 (58*2π)/3045 weeks
591.76266 .18972 (59*2π)/3045 weeks
602.24899 1.13887 (60*2π)/3045 weeks
611.81371 2.50498 (61*2π)/3045 weeks
62.30077 3.21654 (62*2π)/3045 weeks
63-1.59918 2.53677 (63*2π)/3045 weeks
64-2.33309 .04726 (64*2π)/3045 weeks
65.05396 -1.94698 (65*2π)/3045 weeks
662.66817 .01273 (66*2π)/3045 weeks
671.20718 2.64952 (67*2π)/3045 weeks
68-1.09765 1.76061 (68*2π)/3044 weeks
69-.79871 .10906 (69*2π)/3044 weeks
70-.10701 .01633 (70*2π)/3044 weeks
71-.05552 -.20367 (71*2π)/3044 weeks
72.6133 -.54566 (72*2π)/3044 weeks
731.35344 .01824 (73*2π)/3044 weeks
741.25911 .87594 (74*2π)/3044 weeks
75.55157 1.38555 (75*2π)/3044 weeks
76-.48349 .99388 (76*2π)/3044 weeks
77-.58371 -.27865 (77*2π)/3044 weeks
78.49404 -1.01703 (78*2π)/3044 weeks
791.76894 -.52639 (79*2π)/3044 weeks
802.08108 .85708 (80*2π)/3044 weeks
811.08535 1.82777 (81*2π)/3044 weeks
82-.03128 1.454 (82*2π)/3044 weeks
83-.03798 .76741 (83*2π)/3044 weeks
84.0598 .97502 (84*2π)/3044 weeks
85-.78855 .91503 (85*2π)/3044 weeks
86-1.21437 -.3348 (86*2π)/3044 weeks
87-.32179 -1.43379 (87*2π)/3043 weeks
88.9188 -1.4783 (88*2π)/3043 weeks
891.70823 -.83737 (89*2π)/3043 weeks
901.88606 -.10488 (90*2π)/3043 weeks
911.89717 .36655 (91*2π)/3043 weeks
921.92258 1.11162 (92*2π)/3043 weeks
931.10405 2.09387 (93*2π)/3043 weeks
94-.70233 1.98962 (94*2π)/3043 weeks
95-1.78901 .02673 (95*2π)/3043 weeks
96-.61652 -2.26122 (96*2π)/3043 weeks
972.34685 -2.73321 (97*2π)/3043 weeks
984.8136 -.13816 (98*2π)/3043 weeks
993.73227 3.85147 (99*2π)/3043 weeks
100-.4939 4.80123 (100*2π)/3043 weeks
101-2.98467 1.81681 (101*2π)/3043 weeks
102-1.95591 -1.02895 (102*2π)/3043 weeks
103.14079 -1.52367 (103*2π)/3043 weeks
1041.11726 -.48118 (104*2π)/3043 weeks
105.59359 .16403 (105*2π)/3043 weeks
106.39479 -.62504 (106*2π)/3043 weeks
1071.8426 -.83116 (107*2π)/3043 weeks
1082.6351 1.03289 (108*2π)/3043 weeks
1091.04909 2.71186 (109*2π)/3043 weeks
110-1.36999 2.18028 (110*2π)/3043 weeks
111-2.34269 -.43127 (111*2π)/3043 weeks
112-.30773 -2.79546 (112*2π)/3043 weeks
1132.78889 -2.02767 (113*2π)/3043 weeks
1143.5377 .82682 (114*2π)/3043 weeks
1151.82423 2.69707 (115*2π)/3043 weeks
116-.25855 2.51393 (116*2π)/3043 weeks
117-1.28476 1.15312 (117*2π)/3043 weeks
118-1.07053 -.3109 (118*2π)/3043 weeks
119.14847 -1.01317 (119*2π)/3043 weeks
1201.25766 -.33996 (120*2π)/3043 weeks
1211.12041 .83379 (121*2π)/3043 weeks
122.05684 1.15402 (122*2π)/3042 weeks
123-.63611 .38283 (123*2π)/3042 weeks
124-.26419 -.43474 (124*2π)/3042 weeks
125.31814 -.28588 (125*2π)/3042 weeks
126-.05321 -.0231 (126*2π)/3042 weeks
127-.39162 -.95639 (127*2π)/3042 weeks
128.92162 -1.98006 (128*2π)/3042 weeks
1292.90491 -.94652 (129*2π)/3042 weeks
1302.87683 1.68253 (130*2π)/3042 weeks
131.30218 2.99037 (131*2π)/3042 weeks
132-2.1211 1.13784 (132*2π)/3042 weeks
133-1.3435 -1.7883 (133*2π)/3042 weeks
1341.37845 -2.10468 (134*2π)/3042 weeks
1352.58335 -.13782 (135*2π)/3042 weeks
1361.64389 1.574 (136*2π)/3042 weeks
137-.03854 1.69726 (137*2π)/3042 weeks
138-.9833 .52187 (138*2π)/3042 weeks
139-.47089 -.72756 (139*2π)/3042 weeks
140.50832 -.5928 (140*2π)/3042 weeks
141.24497 -.07022 (141*2π)/3042 weeks
142-.2004 -.85078 (142*2π)/3042 weeks
1431.07612 -1.77873 (143*2π)/3042 weeks
1442.76066 -.47322 (144*2π)/3042 weeks
1452.02729 1.85498 (145*2π)/3042 weeks
146-.6195 2.03081 (146*2π)/3042 weeks
147-1.72594 -.58103 (147*2π)/3042 weeks
148.56892 -2.46703 (148*2π)/3042 weeks
1493.04645 -.74259 (149*2π)/3042 weeks
1502.13262 2.0683 (150*2π)/3042 weeks
151-.6066 2.18864 (151*2π)/3042 weeks
152-1.84408   (152*2π)/3042 weeks
153-.6066 -2.18864 (153*2π)/3042 weeks
1542.13262 -2.0683 (154*2π)/3042 weeks
1553.04645 .74259 (155*2π)/3042 weeks
156.56892 2.46703 (156*2π)/3042 weeks
157-1.72594 .58103 (157*2π)/3042 weeks
158-.6195 -2.03081 (158*2π)/3042 weeks
1592.02729 -1.85498 (159*2π)/3042 weeks
1602.76066 .47322 (160*2π)/3042 weeks
1611.07612 1.77873 (161*2π)/3042 weeks
162-.2004 .85078 (162*2π)/3042 weeks
163.24497 .07022 (163*2π)/3042 weeks
164.50832 .5928 (164*2π)/3042 weeks
165-.47089 .72756 (165*2π)/3042 weeks
166-.9833 -.52187 (166*2π)/3042 weeks
167-.03854 -1.69726 (167*2π)/3042 weeks
1681.64389 -1.574 (168*2π)/3042 weeks
1692.58335 .13782 (169*2π)/3042 weeks
1701.37845 2.10468 (170*2π)/3042 weeks
171-1.3435 1.7883 (171*2π)/3042 weeks
172-2.1211 -1.13784 (172*2π)/3042 weeks
173.30218 -2.99037 (173*2π)/3042 weeks
1742.87683 -1.68253 (174*2π)/3042 weeks
1752.90491 .94652 (175*2π)/3042 weeks
176.92162 1.98006 (176*2π)/3042 weeks
177-.39162 .95639 (177*2π)/3042 weeks
178-.05321 .0231 (178*2π)/3042 weeks
179.31814 .28588 (179*2π)/3042 weeks
180-.26419 .43474 (180*2π)/3042 weeks
181-.63611 -.38283 (181*2π)/3042 weeks
182.05684 -1.15402 (182*2π)/3042 weeks
1831.12041 -.83379 (183*2π)/3042 weeks
1841.25766 .33996 (184*2π)/3042 weeks
185.14847 1.01317 (185*2π)/3042 weeks
186-1.07053 .3109 (186*2π)/3042 weeks
187-1.28476 -1.15312 (187*2π)/3042 weeks
188-.25855 -2.51393 (188*2π)/3042 weeks
1891.82423 -2.69707 (189*2π)/3042 weeks
1903.5377 -.82682 (190*2π)/3042 weeks
1912.78889 2.02767 (191*2π)/3042 weeks
192-.30773 2.79546 (192*2π)/3042 weeks
193-2.34269 .43127 (193*2π)/3042 weeks
194-1.36999 -2.18028 (194*2π)/3042 weeks
1951.04909 -2.71186 (195*2π)/3042 weeks
1962.6351 -1.03289 (196*2π)/3042 weeks
1971.8426 .83116 (197*2π)/3042 weeks
198.39479 .62504 (198*2π)/3042 weeks
199.59359 -.16403 (199*2π)/3042 weeks
2001.11726 .48118 (200*2π)/3042 weeks
201.14079 1.52367 (201*2π)/3042 weeks
202-1.95591 1.02895 (202*2π)/3042 weeks
203-2.98467 -1.81681 (203*2π)/3041 weeks
204-.4939 -4.80123 (204*2π)/3041 weeks
2053.73227 -3.85147 (205*2π)/3041 weeks
2064.8136 .13816 (206*2π)/3041 weeks
2072.34685 2.73321 (207*2π)/3041 weeks
208-.61652 2.26122 (208*2π)/3041 weeks
209-1.78901 -.02673 (209*2π)/3041 weeks
210-.70233 -1.98962 (210*2π)/3041 weeks
2111.10405 -2.09387 (211*2π)/3041 weeks
2121.92258 -1.11162 (212*2π)/3041 weeks
2131.89717 -.36655 (213*2π)/3041 weeks
2141.88606 .10488 (214*2π)/3041 weeks
2151.70823 .83737 (215*2π)/3041 weeks
216.9188 1.4783 (216*2π)/3041 weeks
217-.32179 1.43379 (217*2π)/3041 weeks
218-1.21437 .3348 (218*2π)/3041 weeks
219-.78855 -.91503 (219*2π)/3041 weeks
220.0598 -.97502 (220*2π)/3041 weeks
221-.03798 -.76741 (221*2π)/3041 weeks
222-.03128 -1.454 (222*2π)/3041 weeks
2231.08535 -1.82777 (223*2π)/3041 weeks
2242.08108 -.85708 (224*2π)/3041 weeks
2251.76894 .52639 (225*2π)/3041 weeks
226.49404 1.01703 (226*2π)/3041 weeks
227-.58371 .27865 (227*2π)/3041 weeks
228-.48349 -.99388 (228*2π)/3041 weeks
229.55157 -1.38555 (229*2π)/3041 weeks
2301.25911 -.87594 (230*2π)/3041 weeks
2311.35344 -.01824 (231*2π)/3041 weeks
232.6133 .54566 (232*2π)/3041 weeks
233-.05552 .20367 (233*2π)/3041 weeks
234-.10701 -.01633 (234*2π)/3041 weeks
235-.79871 -.10906 (235*2π)/3041 weeks
236-1.09765 -1.76061 (236*2π)/3041 weeks
2371.20718 -2.64952 (237*2π)/3041 weeks
2382.66817 -.01273 (238*2π)/3041 weeks
239.05396 1.94698 (239*2π)/3041 weeks
240-2.33309 -.04726 (240*2π)/3041 weeks
241-1.59918 -2.53677 (241*2π)/3041 weeks
242.30077 -3.21654 (242*2π)/3041 weeks
2431.81371 -2.50498 (243*2π)/3041 weeks
2442.24899 -1.13887 (244*2π)/3041 weeks
2451.76266 -.18972 (245*2π)/3041 weeks
2461.10799 .2101 (246*2π)/3041 weeks
247.44579 .36448 (247*2π)/3041 weeks
248-.38814 .27018 (248*2π)/3041 weeks
249-1.33254 -.36845 (249*2π)/3041 weeks
250-2.07498 -2.01112 (250*2π)/3041 weeks
251-.88846 -4.70006 (251*2π)/3041 weeks
2523.09259 -5.27124 (252*2π)/3041 weeks
2535.82712 -1.69318 (253*2π)/3041 weeks
2544.47143 2.22213 (254*2π)/3041 weeks
2551.29409 3.90723 (255*2π)/3041 weeks
256-2.67403 3.35746 (256*2π)/3041 weeks
257-5.56168 -.90034 (257*2π)/3041 weeks
258-3.18195 -6.41686 (258*2π)/3041 weeks
2592.87537 -7.13595 (259*2π)/3041 weeks
2606.45752 -2.82283 (260*2π)/3041 weeks
2615.14404 2.18208 (261*2π)/3041 weeks
262.58237 3.65662 (262*2π)/3041 weeks
263-2.34743 .9259 (263*2π)/3041 weeks
264-1.75661 -1.76361 (264*2π)/3041 weeks
265-.51838 -2.65979 (265*2π)/3041 weeks
266.93546 -3.03985 (266*2π)/3041 weeks
2672.13732 -1.54512 (267*2π)/3041 weeks
268.47955 -.53554 (268*2π)/3041 weeks
269.13991 -2.79059 (269*2π)/3041 weeks
2703.37698 -2.65125 (270*2π)/3041 weeks
2713.22424 1.54674 (271*2π)/3041 weeks
272-1.34806 1.77014 (272*2π)/3041 weeks
273-2.1687 -2.26383 (273*2π)/3041 weeks
274.55124 -3.74264 (274*2π)/3041 weeks
2752.67687 -2.64059 (275*2π)/3041 weeks
2763.19214 .0025 (276*2π)/3041 weeks
277.36366 2.02213 (277*2π)/3041 weeks
278-2.63575 -.5015 (278*2π)/3041 weeks
279-.91301 -3.46933 (279*2π)/3041 weeks
2801.19428 -2.87175 (280*2π)/3041 weeks
2811.9993 -1.75183 (281*2π)/3041 weeks
2821.91435 .80742 (282*2π)/3041 weeks
283-2.17049 2.39398 (283*2π)/3041 weeks
284-5.81083 -1.66492 (284*2π)/3041 weeks
285-3.99802 -5.96259 (285*2π)/3041 weeks
286-1.81632 -7.36069 (286*2π)/3041 weeks
2871.70543 -9.07369 (287*2π)/3041 weeks
2886.68716 -4.98293 (288*2π)/3041 weeks
2892.55932 1.75723 (289*2π)/3041 weeks
290-5.56495 -2.44203 (290*2π)/3041 weeks
291-2.20761 -12.45241 (291*2π)/3041 weeks
2929.26685 -11.99477 (292*2π)/3041 weeks
29313.69279 -1.09007 (293*2π)/3041 weeks
2946.22219 8.9309 (294*2π)/3041 weeks
295-7.82898 7.17506 (295*2π)/3041 weeks
296-11.79654 -7.15132 (296*2π)/3041 weeks
297.08438 -13.51274 (297*2π)/3041 weeks
2985.03458 -2.44659 (298*2π)/3041 weeks
299-8.09093 3.84046 (299*2π)/3041 weeks
300-25.61889 -5.01903 (300*2π)/3041 weeks
301-41.40612 -37.01079 (301*2π)/3041 weeks
302-14.2913 -98.44312 (302*2π)/3041 weeks

Problems, Comments, Suggestions? Click here to contact Greg Thatcher

Please read my Disclaimer





Copyright (c) 2013 Thatcher Development Software, LLC. All rights reserved. No claim to original U.S. Gov't works.