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Fourier Analysis of WRB (W. R. Berkley Corporation)


WRB (W. R. Berkley Corporation) appears to have interesting cyclic behaviour every 210 weeks (2.3707*sine), 175 weeks (2.1495*sine), and 191 weeks (2.0968*sine).

WRB (W. R. Berkley Corporation) has an average price of 12.2 (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 3/17/1980 to 7/6/2020 for WRB (W. R. Berkley Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.19693   0 
19.37781 -11.96722 (1*2π)/21042,104 weeks
23.57547 -7.36629 (2*2π)/21041,052 weeks
33.45163 -6.80407 (3*2π)/2104701 weeks
4.30792 -5.5967 (4*2π)/2104526 weeks
51.13756 -3.25075 (5*2π)/2104421 weeks
61.2709 -4.0127 (6*2π)/2104351 weeks
7.16894 -3.51552 (7*2π)/2104301 weeks
8.05697 -2.31503 (8*2π)/2104263 weeks
9.70673 -2.70085 (9*2π)/2104234 weeks
10-.11253 -2.37074 (10*2π)/2104210 weeks
11.21803 -2.09684 (11*2π)/2104191 weeks
12.17875 -2.14953 (12*2π)/2104175 weeks
13-.07636 -1.96607 (13*2π)/2104162 weeks
14-.02948 -1.54546 (14*2π)/2104150 weeks
15.01394 -1.90998 (15*2π)/2104140 weeks
16-.23464 -1.58922 (16*2π)/2104132 weeks
17-.18644 -1.66044 (17*2π)/2104124 weeks
18-.4827 -1.60447 (18*2π)/2104117 weeks
19-.53854 -1.16847 (19*2π)/2104111 weeks
20-.39881 -1.10481 (20*2π)/2104105 weeks
21-.45103 -.93506 (21*2π)/2104100 weeks
22-.27523 -.8237 (22*2π)/210496 weeks
23-.23426 -.92435 (23*2π)/210491 weeks
24-.37677 -.90975 (24*2π)/210488 weeks
25-.27823 -.83415 (25*2π)/210484 weeks
26-.39152 -.77049 (26*2π)/210481 weeks
27-.41745 -.67175 (27*2π)/210478 weeks
28-.3271 -.57297 (28*2π)/210475 weeks
29-.34707 -.63014 (29*2π)/210473 weeks
30-.4801 -.42177 (30*2π)/210470 weeks
31-.27812 -.42004 (31*2π)/210468 weeks
32-.37404 -.30273 (32*2π)/210466 weeks
33-.15662 -.21162 (33*2π)/210464 weeks
34-.07077 -.20036 (34*2π)/210462 weeks
35.00678 -.31578 (35*2π)/210460 weeks
36-.04243 -.39193 (36*2π)/210458 weeks
37-.09232 -.35156 (37*2π)/210457 weeks
38-.07515 -.28479 (38*2π)/210455 weeks
39.07734 -.29055 (39*2π)/210454 weeks
40-.02127 -.46923 (40*2π)/210453 weeks
41-.07618 -.26753 (41*2π)/210451 weeks
42.05441 -.34607 (42*2π)/210450 weeks
43-.0671 -.42898 (43*2π)/210449 weeks
44-.05378 -.30078 (44*2π)/210448 weeks
45-.00105 -.38184 (45*2π)/210447 weeks
46-.15079 -.36055 (46*2π)/210446 weeks
47-.04948 -.16975 (47*2π)/210445 weeks
48.07903 -.26404 (48*2π)/210444 weeks
49.05336 -.34205 (49*2π)/210443 weeks
50-.01728 -.45193 (50*2π)/210442 weeks
51-.08601 -.37434 (51*2π)/210441 weeks
52-.0909 -.2776 (52*2π)/210440 weeks
53-.10889 -.38249 (53*2π)/210440 weeks
54-.18465 -.2601 (54*2π)/210439 weeks
55-.13506 -.13443 (55*2π)/210438 weeks
56-.00018 -.17576 (56*2π)/210438 weeks
57-.08158 -.23441 (57*2π)/210437 weeks
58-.03615 -.12573 (58*2π)/210436 weeks
59.0695 -.1632 (59*2π)/210436 weeks
60.03847 -.28245 (60*2π)/210435 weeks
61-.04937 -.20891 (61*2π)/210434 weeks
62.00675 -.26584 (62*2π)/210434 weeks
63-.10171 -.22216 (63*2π)/210433 weeks
64-.06057 -.10928 (64*2π)/210433 weeks
65.0118 -.11478 (65*2π)/210432 weeks
66.04857 -.1272 (66*2π)/210432 weeks
67.09048 -.20552 (67*2π)/210431 weeks
68-.01487 -.22322 (68*2π)/210431 weeks
69-.00012 -.11996 (69*2π)/210430 weeks
70.0785 -.13753 (70*2π)/210430 weeks
71.10473 -.23113 (71*2π)/210430 weeks
72-.01201 -.18331 (72*2π)/210429 weeks
73.07927 -.16031 (73*2π)/210429 weeks
74.03405 -.26702 (74*2π)/210428 weeks
75-.01587 -.1711 (75*2π)/210428 weeks
76.04535 -.13742 (76*2π)/210428 weeks
77.01336 -.16147 (77*2π)/210427 weeks
78.06106 -.10916 (78*2π)/210427 weeks
79.10672 -.12248 (79*2π)/210427 weeks
80.14456 -.2337 (80*2π)/210426 weeks
81.01919 -.21062 (81*2π)/210426 weeks
82.08501 -.14893 (82*2π)/210426 weeks
83.08346 -.17614 (83*2π)/210425 weeks
84.11326 -.20648 (84*2π)/210425 weeks
85.03553 -.20511 (85*2π)/210425 weeks
86.07289 -.18703 (86*2π)/210424 weeks
87.08863 -.17057 (87*2π)/210424 weeks
88.0889 -.1855 (88*2π)/210424 weeks
89.07917 -.17367 (89*2π)/210424 weeks
90.13631 -.16314 (90*2π)/210423 weeks
91.14129 -.229 (91*2π)/210423 weeks
92.0974 -.22007 (92*2π)/210423 weeks
93.17046 -.19904 (93*2π)/210423 weeks
94.15934 -.3104 (94*2π)/210422 weeks
95.07239 -.31478 (95*2π)/210422 weeks
96.08189 -.28567 (96*2π)/210422 weeks
97.07483 -.29533 (97*2π)/210422 weeks
98.05004 -.32027 (98*2π)/210421 weeks
99.02408 -.32844 (99*2π)/210421 weeks
100-.04379 -.2801 (100*2π)/210421 weeks
101-.00567 -.2463 (101*2π)/210421 weeks
102-.00997 -.27418 (102*2π)/210421 weeks
103-.04016 -.18261 (103*2π)/210420 weeks
104.07574 -.20135 (104*2π)/210420 weeks
105.05702 -.28636 (105*2π)/210420 weeks
106-.02201 -.27488 (106*2π)/210420 weeks
107.00836 -.21955 (107*2π)/210420 weeks
108.03357 -.28841 (108*2π)/210419 weeks
109-.06066 -.26155 (109*2π)/210419 weeks
110-.00097 -.19201 (110*2π)/210419 weeks
111.01394 -.24669 (111*2π)/210419 weeks
112.03119 -.2485 (112*2π)/210419 weeks
113-.0083 -.28816 (113*2π)/210419 weeks
114-.04104 -.26306 (114*2π)/210418 weeks
115.00983 -.23711 (115*2π)/210418 weeks
116-.03307 -.33805 (116*2π)/210418 weeks
117-.13149 -.27079 (117*2π)/210418 weeks
118-.08846 -.18893 (118*2π)/210418 weeks
119-.06264 -.21141 (119*2π)/210418 weeks
120-.06889 -.17521 (120*2π)/210418 weeks
121-.00067 -.19363 (121*2π)/210417 weeks
122-.01708 -.24813 (122*2π)/210417 weeks
123-.04872 -.25119 (123*2π)/210417 weeks
124-.09746 -.26334 (124*2π)/210417 weeks
125-.09517 -.20173 (125*2π)/210417 weeks
126-.08645 -.20842 (126*2π)/210417 weeks
127-.11609 -.20994 (127*2π)/210417 weeks
128-.11173 -.15349 (128*2π)/210416 weeks
129-.03496 -.12252 (129*2π)/210416 weeks
130-.04854 -.23173 (130*2π)/210416 weeks
131-.10904 -.18426 (131*2π)/210416 weeks
132-.06768 -.15121 (132*2π)/210416 weeks
133-.03725 -.21113 (133*2π)/210416 weeks
134-.12456 -.21566 (134*2π)/210416 weeks
135-.10859 -.1574 (135*2π)/210416 weeks
136-.09219 -.17725 (136*2π)/210415 weeks
137-.1366 -.16341 (137*2π)/210415 weeks
138-.09768 -.13753 (138*2π)/210415 weeks
139-.11536 -.14166 (139*2π)/210415 weeks
140-.11118 -.15404 (140*2π)/210415 weeks
141-.15046 -.11193 (141*2π)/210415 weeks
142-.11591 -.06749 (142*2π)/210415 weeks
143-.07825 -.04993 (143*2π)/210415 weeks
144-.02606 -.08814 (144*2π)/210415 weeks
145-.05982 -.10991 (145*2π)/210415 weeks
146-.04941 -.09969 (146*2π)/210414 weeks
147-.04091 -.12546 (147*2π)/210414 weeks
148-.06315 -.11945 (148*2π)/210414 weeks
149-.05539 -.12418 (149*2π)/210414 weeks
150-.05403 -.12869 (150*2π)/210414 weeks
151-.08236 -.12384 (151*2π)/210414 weeks
152-.08004 -.11558 (152*2π)/210414 weeks
153-.07711 -.12569 (153*2π)/210414 weeks
154-.09956 -.11025 (154*2π)/210414 weeks
155-.09542 -.09477 (155*2π)/210414 weeks
156-.09046 -.06879 (156*2π)/210413 weeks
157-.06122 -.06639 (157*2π)/210413 weeks
158-.06392 -.08932 (158*2π)/210413 weeks
159-.08316 -.08691 (159*2π)/210413 weeks
160-.07058 -.05924 (160*2π)/210413 weeks
161-.06089 -.08271 (161*2π)/210413 weeks
162-.06958 -.05927 (162*2π)/210413 weeks
163-.06187 -.07784 (163*2π)/210413 weeks
164-.0953 -.04841 (164*2π)/210413 weeks
165-.07245 -.01731 (165*2π)/210413 weeks
166-.03209 -.01931 (166*2π)/210413 weeks
167-.0064 -.02571 (167*2π)/210413 weeks
168-.00549 -.05616 (168*2π)/210413 weeks
169-.01596 -.05107 (169*2π)/210412 weeks
170-.01004 -.03848 (170*2π)/210412 weeks
171.01896 -.06195 (171*2π)/210412 weeks
172-.00455 -.07437 (172*2π)/210412 weeks
173.02258 -.08195 (173*2π)/210412 weeks
174-.02238 -.10654 (174*2π)/210412 weeks
175-.03409 -.05327 (175*2π)/210412 weeks
176.00528 -.0661 (176*2π)/210412 weeks
177.00826 -.07612 (177*2π)/210412 weeks
178.00164 -.07201 (178*2π)/210412 weeks
179.02556 -.10518 (179*2π)/210412 weeks
180-.0119 -.11067 (180*2π)/210412 weeks
181-.02762 -.11236 (181*2π)/210412 weeks
182-.03953 -.08591 (182*2π)/210412 weeks
183-.0259 -.07682 (183*2π)/210411 weeks
184-.03087 -.08238 (184*2π)/210411 weeks
185-.01845 -.05701 (185*2π)/210411 weeks
186-.01789 -.08316 (186*2π)/210411 weeks
187-.02648 -.07207 (187*2π)/210411 weeks
188-.02752 -.04842 (188*2π)/210411 weeks
189.0019 -.02912 (189*2π)/210411 weeks
190.02735 -.0577 (190*2π)/210411 weeks
191.03447 -.064 (191*2π)/210411 weeks
192.02866 -.08541 (192*2π)/210411 weeks
193.02935 -.07838 (193*2π)/210411 weeks
194.03979 -.10749 (194*2π)/210411 weeks
195.01977 -.10183 (195*2π)/210411 weeks
196.03596 -.11765 (196*2π)/210411 weeks
197-.00488 -.13058 (197*2π)/210411 weeks
198-.0124 -.10922 (198*2π)/210411 weeks
199-.01318 -.09517 (199*2π)/210411 weeks
200.02591 -.08167 (200*2π)/210411 weeks
201.02409 -.11655 (201*2π)/210410 weeks
202.01843 -.13054 (202*2π)/210410 weeks
203.00452 -.11563 (203*2π)/210410 weeks
204.02649 -.13407 (204*2π)/210410 weeks
205-.00723 -.15983 (205*2π)/210410 weeks
206-.02264 -.14256 (206*2π)/210410 weeks
207-.01275 -.14062 (207*2π)/210410 weeks
208-.03169 -.14295 (208*2π)/210410 weeks
209-.04876 -.13746 (209*2π)/210410 weeks
210-.036 -.10324 (210*2π)/210410 weeks
211-.02288 -.14275 (211*2π)/210410 weeks
212-.05205 -.12811 (212*2π)/210410 weeks
213-.04365 -.11483 (213*2π)/210410 weeks
214-.03214 -.11931 (214*2π)/210410 weeks
215-.05086 -.12588 (215*2π)/210410 weeks
216-.06117 -.11008 (216*2π)/210410 weeks
217-.05349 -.10459 (217*2π)/210410 weeks
218-.04278 -.10158 (218*2π)/210410 weeks
219-.03507 -.10179 (219*2π)/210410 weeks
220-.04233 -.09807 (220*2π)/210410 weeks
221-.01857 -.11297 (221*2π)/210410 weeks
222-.03112 -.1271 (222*2π)/21049 weeks
223-.05515 -.14614 (223*2π)/21049 weeks
224-.07686 -.11404 (224*2π)/21049 weeks
225-.05687 -.10471 (225*2π)/21049 weeks
226-.05076 -.11727 (226*2π)/21049 weeks
227-.06822 -.11616 (227*2π)/21049 weeks
228-.05482 -.11867 (228*2π)/21049 weeks
229-.08537 -.1327 (229*2π)/21049 weeks
230-.10154 -.09928 (230*2π)/21049 weeks
231-.08036 -.08798 (231*2π)/21049 weeks
232-.07192 -.09843 (232*2π)/21049 weeks
233-.09167 -.10827 (233*2π)/21049 weeks
234-.09255 -.09047 (234*2π)/21049 weeks
235-.10246 -.08032 (235*2π)/21049 weeks
236-.08407 -.06641 (236*2π)/21049 weeks
237-.08863 -.09353 (237*2π)/21049 weeks
238-.11299 -.07261 (238*2π)/21049 weeks
239-.09728 -.05121 (239*2π)/21049 weeks
240-.08968 -.05316 (240*2π)/21049 weeks
241-.08449 -.05216 (241*2π)/21049 weeks
242-.09931 -.05615 (242*2π)/21049 weeks
243-.09518 -.03667 (243*2π)/21049 weeks
244-.09239 -.03229 (244*2π)/21049 weeks
245-.0786 -.01501 (245*2π)/21049 weeks
246-.05478 -.01856 (246*2π)/21049 weeks
247-.04763 -.04309 (247*2π)/21049 weeks
248-.0723 -.04802 (248*2π)/21048 weeks
249-.06088 -.03422 (249*2π)/21048 weeks
250-.06863 -.06123 (250*2π)/21048 weeks
251-.09632 -.03442 (251*2π)/21048 weeks
252-.07577 -.00798 (252*2π)/21048 weeks
253-.06311 -.02588 (253*2π)/21048 weeks
254-.06984 -.01478 (254*2π)/21048 weeks
255-.05067 -.01778 (255*2π)/21048 weeks
256-.06543 -.04044 (256*2π)/21048 weeks
257-.09731 -.01917 (257*2π)/21048 weeks
258-.07187 .02606 (258*2π)/21048 weeks
259-.05374 .01925 (259*2π)/21048 weeks
260-.02574 .01649 (260*2π)/21048 weeks
261-.03298 -.00568 (261*2π)/21048 weeks
262-.037 .00811 (262*2π)/21048 weeks
263-.01989 .01375 (263*2π)/21048 weeks
264-.00246 .00878 (264*2π)/21048 weeks
265-.00313 -.01345 (265*2π)/21048 weeks
266.00757 -.01729 (266*2π)/21048 weeks
267-.01083 -.04036 (267*2π)/21048 weeks
268-.01962 -.01979 (268*2π)/21048 weeks
269.00014 -.03018 (269*2π)/21048 weeks
270-.02165 -.04868 (270*2π)/21048 weeks
271-.04198 -.01481 (271*2π)/21048 weeks
272.00429 -.0136 (272*2π)/21048 weeks
273-.01043 -.05287 (273*2π)/21048 weeks
274-.03745 -.03172 (274*2π)/21048 weeks
275-.01957 -.02471 (275*2π)/21048 weeks
276-.0339 -.0255 (276*2π)/21048 weeks
277-.02392 -.01 (277*2π)/21048 weeks
278-.00553 -.01994 (278*2π)/21048 weeks
279-.0194 -.028 (279*2π)/21048 weeks
280-.02259 -.01317 (280*2π)/21048 weeks
281-.01001 -.02761 (281*2π)/21047 weeks
282-.0132 .00096 (282*2π)/21047 weeks
283.01466 -.03589 (283*2π)/21047 weeks
284-.03575 -.04344 (284*2π)/21047 weeks
285-.02409 .01224 (285*2π)/21047 weeks
286.00891 -.00654 (286*2π)/21047 weeks
287-.00147 -.02675 (287*2π)/21047 weeks
288.01269 -.00685 (288*2π)/21047 weeks
289.00106 -.03653 (289*2π)/21047 weeks
290-.00746 .00329 (290*2π)/21047 weeks
291.03459 -.00951 (291*2π)/21047 weeks
292.02119 -.04497 (292*2π)/21047 weeks
293.00726 -.03809 (293*2π)/21047 weeks
294.01129 -.03267 (294*2π)/21047 weeks
295.01504 -.02708 (295*2π)/21047 weeks
296.02142 -.03383 (296*2π)/21047 weeks
297.0314 -.04742 (297*2π)/21047 weeks
298-.01032 -.06187 (298*2π)/21047 weeks
299.00236 -.02635 (299*2π)/21047 weeks
300.04194 -.04481 (300*2π)/21047 weeks
301.00135 -.06913 (301*2π)/21047 weeks
302-.00539 -.04198 (302*2π)/21047 weeks
303.01753 -.04134 (303*2π)/21047 weeks
304.00085 -.06337 (304*2π)/21047 weeks
305-.01286 -.04286 (305*2π)/21047 weeks
306.00015 -.03302 (306*2π)/21047 weeks
307.01446 -.03195 (307*2π)/21047 weeks
308.01654 -.0431 (308*2π)/21047 weeks
309.0131 -.03044 (309*2π)/21047 weeks
310.0385 -.03574 (310*2π)/21047 weeks
311.0431 -.07148 (311*2π)/21047 weeks
312.02209 -.08053 (312*2π)/21047 weeks
313.01447 -.07651 (313*2π)/21047 weeks
314.00559 -.08729 (314*2π)/21047 weeks
315-.0073 -.07823 (315*2π)/21047 weeks
316-.01661 -.06588 (316*2π)/21047 weeks
317-.00593 -.06795 (317*2π)/21047 weeks
318-.02307 -.05827 (318*2π)/21047 weeks
319-.00716 -.05258 (319*2π)/21047 weeks
320.0024 -.05418 (320*2π)/21047 weeks
321-.00131 -.05091 (321*2π)/21047 weeks
322.00666 -.068 (322*2π)/21047 weeks
323-.01459 -.06392 (323*2π)/21047 weeks
324-.00124 -.05697 (324*2π)/21046 weeks
325-.0058 -.06558 (325*2π)/21046 weeks
326-.01243 -.05475 (326*2π)/21046 weeks
327.00274 -.04212 (327*2π)/21046 weeks
328.02436 -.07177 (328*2π)/21046 weeks
329-.0056 -.07578 (329*2π)/21046 weeks
330-.01153 -.06542 (330*2π)/21046 weeks
331.00039 -.07616 (331*2π)/21046 weeks
332-.0099 -.07964 (332*2π)/21046 weeks
333-.02748 -.06077 (333*2π)/21046 weeks
334-.00371 -.05964 (334*2π)/21046 weeks
335-.01099 -.08006 (335*2π)/21046 weeks
336-.03527 -.06634 (336*2π)/21046 weeks
337-.02241 -.0416 (337*2π)/21046 weeks
338.00144 -.05483 (338*2π)/21046 weeks
339-.00825 -.0534 (339*2π)/21046 weeks
340-.00507 -.06261 (340*2π)/21046 weeks
341-.00016 -.05843 (341*2π)/21046 weeks
342.00918 -.07565 (342*2π)/21046 weeks
343-.01833 -.08316 (343*2π)/21046 weeks
344-.01692 -.06118 (344*2π)/21046 weeks
345.00511 -.07628 (345*2π)/21046 weeks
346-.02313 -.09527 (346*2π)/21046 weeks
347-.03495 -.06776 (347*2π)/21046 weeks
348-.01538 -.07199 (348*2π)/21046 weeks
349-.03619 -.08141 (349*2π)/21046 weeks
350-.03249 -.05714 (350*2π)/21046 weeks
351-.02213 -.06644 (351*2π)/21046 weeks
352-.03098 -.06694 (352*2π)/21046 weeks
353-.03017 -.07054 (353*2π)/21046 weeks
354-.0402 -.0652 (354*2π)/21046 weeks
355-.04239 -.05499 (355*2π)/21046 weeks
356-.03071 -.04499 (356*2π)/21046 weeks
357-.02625 -.0589 (357*2π)/21046 weeks
358-.03813 -.04752 (358*2π)/21046 weeks
359-.0182 -.04006 (359*2π)/21046 weeks
360-.02018 -.06314 (360*2π)/21046 weeks
361-.02838 -.04557 (361*2π)/21046 weeks
362-.00874 -.05908 (362*2π)/21046 weeks
363-.02717 -.06368 (363*2π)/21046 weeks
364-.02225 -.05378 (364*2π)/21046 weeks
365-.01812 -.07225 (365*2π)/21046 weeks
366-.04044 -.06951 (366*2π)/21046 weeks
367-.0393 -.05877 (367*2π)/21046 weeks
368-.04496 -.0602 (368*2π)/21046 weeks
369-.04795 -.04454 (369*2π)/21046 weeks
370-.03661 -.03724 (370*2π)/21046 weeks
371-.03269 -.03518 (371*2π)/21046 weeks
372-.02304 -.03803 (372*2π)/21046 weeks
373-.01931 -.04594 (373*2π)/21046 weeks
374-.03077 -.04019 (374*2π)/21046 weeks
375-.00906 -.03923 (375*2π)/21046 weeks
376-.01642 -.06476 (376*2π)/21046 weeks
377-.03168 -.04974 (377*2π)/21046 weeks
378-.01978 -.05227 (378*2π)/21046 weeks
379-.02666 -.05724 (379*2π)/21046 weeks
380-.03955 -.05327 (380*2π)/21046 weeks
381-.02535 -.02989 (381*2π)/21046 weeks
382-.01191 -.06035 (382*2π)/21046 weeks
383-.03507 -.05927 (383*2π)/21045 weeks
384-.02911 -.04697 (384*2π)/21045 weeks
385-.02917 -.05562 (385*2π)/21045 weeks
386-.03521 -.04744 (386*2π)/21045 weeks
387-.03414 -.04452 (387*2π)/21045 weeks
388-.03387 -.04431 (388*2π)/21045 weeks
389-.02863 -.04107 (389*2π)/21045 weeks
390-.02036 -.0466 (390*2π)/21045 weeks
391-.0294 -.04916 (391*2π)/21045 weeks
392-.02985 -.04754 (392*2π)/21045 weeks
393-.02888 -.05226 (393*2π)/21045 weeks
394-.04171 -.05332 (394*2π)/21045 weeks
395-.0467 -.02907 (395*2π)/21045 weeks
396-.02141 <