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Fourier Analysis of BRK-A (Berkshire Hathaway Inc)


BRK-A (Berkshire Hathaway Inc) appears to have interesting cyclic behaviour every 73 weeks (8770.255*sine), 80 weeks (8355.043*sine), and 87 weeks (6840.49*sine).

BRK-A (Berkshire Hathaway Inc) has an average price of 129,906.5 (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 1/3/2000 to 4/16/2018 for BRK-A (Berkshire Hathaway Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0129,906.5   0 
126,196.32 -53,101.49 (1*2π)/955955 weeks
26,552.284 -42,328.71 (2*2π)/955478 weeks
3-581.157 -16,580.41 (3*2π)/955318 weeks
44,513.915 -17,111.42 (4*2π)/955239 weeks
59,054.923 -12,815.81 (5*2π)/955191 weeks
6-3,713.08 -17,382.54 (6*2π)/955159 weeks
73,780.8 -12,381.65 (7*2π)/955136 weeks
8-2,590.287 -13,857.99 (8*2π)/955119 weeks
9643.5953 -6,794.281 (9*2π)/955106 weeks
10-1,449.189 -6,155.87 (10*2π)/95596 weeks
112,458.722 -6,840.49 (11*2π)/95587 weeks
12306.0946 -8,355.043 (12*2π)/95580 weeks
13721.6397 -8,770.255 (13*2π)/95573 weeks
14-1,157.221 -5,091.613 (14*2π)/95568 weeks
15700.4291 -5,329.221 (15*2π)/95564 weeks
16194.8181 -6,277.191 (16*2π)/95560 weeks
17-493.0422 -4,939.918 (17*2π)/95556 weeks
181,051.152 -5,512.584 (18*2π)/95553 weeks
1976.25745 -4,427.948 (19*2π)/95550 weeks
20-1,515.773 -5,394.257 (20*2π)/95548 weeks
21355.9873 -4,590.867 (21*2π)/95545 weeks
22-1,777.103 -3,327.278 (22*2π)/95543 weeks
23-168.2044 -3,921.386 (23*2π)/95542 weeks
24-2,365.435 -3,634.677 (24*2π)/95540 weeks
25-517.5401 -3,052.123 (25*2π)/95538 weeks
26-516.1555 -2,136.124 (26*2π)/95537 weeks
27338.5786 -3,051.077 (27*2π)/95535 weeks
28-604.4073 -2,438.67 (28*2π)/95534 weeks
29133.1107 -3,384.451 (29*2π)/95533 weeks
30-1,173.857 -3,369.736 (30*2π)/95532 weeks
31-295.2035 -2,954.201 (31*2π)/95531 weeks
32109.1555 -3,058.402 (32*2π)/95530 weeks
33-646.9108 -2,789.041 (33*2π)/95529 weeks
34-488.4326 -2,806.506 (34*2π)/95528 weeks
35-1,291.307 -2,556.745 (35*2π)/95527 weeks
36-308.6172 -1,955.997 (36*2π)/95527 weeks
37-686.4063 -2,888.13 (37*2π)/95526 weeks
38-400.7605 -1,598.836 (38*2π)/95525 weeks
39-674.2034 -3,029.906 (39*2π)/95524 weeks
40-537.4928 -1,107.564 (40*2π)/95524 weeks
41-1,036.945 -1,941.87 (41*2π)/95523 weeks
42-652.2797 -1,487.361 (42*2π)/95523 weeks
43-375.1161 -1,984.228 (43*2π)/95522 weeks
44-455.4063 -1,182.247 (44*2π)/95522 weeks
4573.85587 -1,395.991 (45*2π)/95521 weeks
4644.26326 -2,335.178 (46*2π)/95521 weeks
47-798.0351 -1,980.8 (47*2π)/95520 weeks
48-802.3042 -1,558.588 (48*2π)/95520 weeks
49-500.2765 -1,113.886 (49*2π)/95519 weeks
50-310.3944 -1,462.246 (50*2π)/95519 weeks
51-261.098 -867.135 (51*2π)/95519 weeks
52-226.9185 -1,619.916 (52*2π)/95518 weeks
53323.3885 -942.8208 (53*2π)/95518 weeks
54492.1497 -1,721.238 (54*2π)/95518 weeks
5556.62875 -1,701.923 (55*2π)/95517 weeks
56-188.1357 -1,457.077 (56*2π)/95517 weeks
57-477.9121 -1,501.742 (57*2π)/95517 weeks
58-1,138.225 -892.8112 (58*2π)/95516 weeks
59124.0306 -893.8708 (59*2π)/95516 weeks
60-454.9004 -1,385.249 (60*2π)/95516 weeks
61688.1769 -905.6408 (61*2π)/95516 weeks
62-278.7504 -1,003.3 (62*2π)/95515 weeks
63687.2238 -726.6196 (63*2π)/95515 weeks
64-731.5835 -835.2852 (64*2π)/95515 weeks
65729.6198 -792.4637 (65*2π)/95515 weeks
66-236.467 -1,105.532 (66*2π)/95514 weeks
67497.8098 -1,285.08 (67*2π)/95514 weeks
68-134.3672 -1,478.961 (68*2π)/95514 weeks
6980.26725 -1,491.349 (69*2π)/95514 weeks
70-127.7759 -1,054.082 (70*2π)/95514 weeks
71-352.1548 -1,549.211 (71*2π)/95513 weeks
72-440.9836 -721.0043 (72*2π)/95513 weeks
73-457.5652 -1,008.496 (73*2π)/95513 weeks
74-364.7755 -997.1575 (74*2π)/95513 weeks
75-209.5206 -734.2658 (75*2π)/95513 weeks
76-68.53757 -1,066.802 (76*2π)/95513 weeks
77-260.4785 -1,146.233 (77*2π)/95512 weeks
78-360.645 -796.9803 (78*2π)/95512 weeks
79-86.69717 -819.8268 (79*2π)/95512 weeks
80135.2949 -937.7524 (80*2π)/95512 weeks
81177.8792 -1,271.752 (81*2π)/95512 weeks
82-42.42356 -1,476.662 (82*2π)/95512 weeks
83-782.1096 -1,417.772 (83*2π)/95512 weeks
84-277.3861 -650.77 (84*2π)/95511 weeks
85-231.977 -1,035.889 (85*2π)/95511 weeks
86-205.8641 -397.6451 (86*2π)/95511 weeks
87-747.6847 -889.2185 (87*2π)/95511 weeks
88-535.8709 -917.0911 (88*2π)/95511 weeks
89-337.535 -928.3593 (89*2π)/95511 weeks
90-473.1255 -1,117.746 (90*2π)/95511 weeks
91-389.4981 -408.3426 (91*2π)/95510 weeks
92-186.1709 -484.3572 (92*2π)/95510 weeks
93-98.67835 -530.1756 (93*2π)/95510 weeks
94-110.4345 -698.2656 (94*2π)/95510 weeks
95-283.8451 -538.851 (95*2π)/95510 weeks
96-303.1782 -723.6229 (96*2π)/95510 weeks
97-164.968 -783.2463 (97*2π)/95510 weeks
98-435.73 -513.8429 (98*2π)/95510 weeks
99-241.85 -538.2846 (99*2π)/95510 weeks
100-299.7245 -350.3956 (100*2π)/95510 weeks
101-36.13698 -560.3326 (101*2π)/9559 weeks
102-302.4942 -669.6552 (102*2π)/9559 weeks
103-154.3565 -679.2172 (103*2π)/9559 weeks
104-533.8256 -462.6783 (104*2π)/9559 weeks
105-185.6222 -527.0906 (105*2π)/9559 weeks
106-593.587 -691.031 (106*2π)/9559 weeks
107-301.6381 -437.4425 (107*2π)/9559 weeks
108-482.8699 -887.4273 (108*2π)/9559 weeks
109-285.5265 -540.9922 (109*2π)/9559 weeks
110-398.3297 -698.2471 (110*2π)/9559 weeks
11137.42742 -564.5672 (111*2π)/9559 weeks
112-436.9113 -864.5911 (112*2π)/9559 weeks
113-147.5384 -772.703 (113*2π)/9558 weeks
114-715.7375 -529.8783 (114*2π)/9558 weeks
1159.20487 -730.2089 (115*2π)/9558 weeks
116-472.9394 -574.5901 (116*2π)/9558 weeks
117-485.26 -761.7495 (117*2π)/9558 weeks
118-486.2597 -399.5577 (118*2π)/9558 weeks
119-409.1718 -650.818 (119*2π)/9558 weeks
120-302.6771 -542.0978 (120*2π)/9558 weeks
121-360.594 -609.9082 (121*2π)/9558 weeks
122-212.4367 -535.295 (122*2π)/9558 weeks
123-412.1104 -323.5257 (123*2π)/9558 weeks
12413.36087 -572.1901 (124*2π)/9558 weeks
125-416.0818 -303.9103 (125*2π)/9558 weeks
126-58.95126 -439.8953 (126*2π)/9558 weeks
127-170.6548 -182.6014 (127*2π)/9558 weeks
128-124.5419 -335.092 (128*2π)/9557 weeks
129-15.57062 -420.8588 (129*2π)/9557 weeks
130-120.2591 -555.6253 (130*2π)/9557 weeks
131-131.7326 -492.1152 (131*2π)/9557 weeks
13295.34294 -651.395 (132*2π)/9557 weeks
133-71.67773 -518.8485 (133*2π)/9557 weeks
134-195.6179 -424.4445 (134*2π)/9557 weeks
135-3.87466 -345.9554 (135*2π)/9557 weeks
136-283.8364 -664.2076 (136*2π)/9557 weeks
137-12.46474 -114.2473 (137*2π)/9557 weeks
138-135.652 -519.6606 (138*2π)/9557 weeks
139-42.66459 -492.6014 (139*2π)/9557 weeks
140-335.8462 -497.9337 (140*2π)/9557 weeks
14154.68276 -526.747 (141*2π)/9557 weeks
142-161.2643 -390.3357 (142*2π)/9557 weeks
143134.0131 -568.0195 (143*2π)/9557 weeks
144-125.6756 -542.058 (144*2π)/9557 weeks
14570.61252 -754.2534 (145*2π)/9557 weeks
146-152.9706 -535.2198 (146*2π)/9557 weeks
147235.281 -674.7896 (147*2π)/9556 weeks
148-322.3513 -578.4798 (148*2π)/9556 weeks
149160.6693 -648.3328 (149*2π)/9556 weeks
150-267.3934 -735.1659 (150*2π)/9556 weeks
151-95.86757 -584.3441 (151*2π)/9556 weeks
152-359.9661 -623.46 (152*2π)/9556 weeks
15325.98747 -720.0911 (153*2π)/9556 weeks
154-83.81438 -653.3722 (154*2π)/9556 weeks
1557.26691 -784.9687 (155*2π)/9556 weeks
156-138.5445 -628.8602 (156*2π)/9556 weeks
157-331.7529 -760.0574 (157*2π)/9556 weeks
158-357.8185 -456.4384 (158*2π)/9556 weeks
159-324.7304 -479.5604 (159*2π)/9556 weeks
160-228.7789 -474.6858 (160*2π)/9556 weeks
161-304.2015 -686.2172 (161*2π)/9556 weeks
162-325.5724 -490.654 (162*2π)/9556 weeks
163-235.1019 -441.8344 (163*2π)/9556 weeks
164-275.5756 -498.1155 (164*2π)/9556 weeks
165-323.7149 -554.5913 (165*2π)/9556 weeks
166-53.81782 -736.985 (166*2π)/9556 weeks
167-480.7718 -622.5748 (167*2π)/9556 weeks
168-288.0208 -628.8658 (168*2π)/9556 weeks
169-454.7871 -625.238 (169*2π)/9556 weeks
170-385.1173 -576.2162 (170*2π)/9556 weeks
171-577.956 -369.3435 (171*2π)/9556 weeks
172-373.0574 -380.7663 (172*2π)/9556 weeks
173-166.6962 -321.5038 (173*2π)/9556 weeks
174-134.9467 -503.1098 (174*2π)/9555 weeks
175-314.7349 -407.703 (175*2π)/9555 weeks
176-453.2813 -651.9448 (176*2π)/9555 weeks
177-335.3163 -70.23107 (177*2π)/9555 weeks
178-206.9569 -594.9684 (178*2π)/9555 weeks
179-285.5692 -176.124 (179*2π)/9555 weeks
180-296.422 -582.7148 (180*2π)/9555 weeks
181-347.7565 -168.57 (181*2π)/9555 weeks
182-349.8208 -387.3148 (182*2π)/9555 weeks
183-104.8671 -221.8087 (183*2π)/9555 weeks
184-427.9219 -543.094 (184*2π)/9555 weeks
185-203.3988 -307.2413 (185*2π)/9555 weeks
186-594.0627 -156.7016 (186*2π)/9555 weeks
18758.75899 -234.5459 (187*2π)/9555 weeks
188-502.7029 -129.5795 (188*2π)/9555 weeks
1893.91911 -376.9249 (189*2π)/9555 weeks
190-383.9536 -208.9333 (190*2π)/9555 weeks
191125.2793 -366.4567 (191*2π)/9555 weeks
192-402.9224 -334.5562 (192*2π)/9555 weeks
193-245.05 -436.9404 (193*2π)/9555 weeks
194-485.4251 -395.6406 (194*2π)/9555 weeks
195-133.1901 -360.618 (195*2π)/9555 weeks
196-232.0461 -303.179 (196*2π)/9555 weeks
197-380.848 -399.1642 (197*2π)/9555 weeks
198-225.8648 -105.8426 (198*2π)/9555 weeks
199-270.1458 -412.1628 (199*2π)/9555 weeks
200-377.6725 -317.7291 (200*2π)/9555 weeks
201-452.6477 -265.8057 (201*2π)/9555 weeks
202-218.301 -110.6301 (202*2π)/9555 weeks
203-107.5011 -312.5658 (203*2π)/9555 weeks
204-215.7341 -224.8567 (204*2π)/9555 weeks
205-398.0173 -392.8022 (205*2π)/9555 weeks
206-231.0926 -298.9351 (206*2π)/9555 weeks
207-346.3555 -514.1505 (207*2π)/9555 weeks
208-407.1509 -246.6183 (208*2π)/9555 weeks
209-390.8718 -357.9529 (209*2π)/9555 weeks
210-330.5697 -122.7307 (210*2π)/9555 weeks
211-351.701 -355.518 (211*2π)/9555 weeks
212-238.5876 -220.0804 (212*2π)/9555 weeks
213-384.7992 -316.5859 (213*2π)/9554 weeks
214-261.5199 -156.0921 (214*2π)/9554 weeks
215-520.5579 -508.4118 (215*2π)/9554 weeks
216-365.9812 -319.1668 (216*2π)/9554 weeks
217-383.5359 -380.5031 (217*2π)/9554 weeks
218-183.46 -230.6803 (218*2π)/9554 weeks
219-292.4509 -361.3921 (219*2π)/9554 weeks
220-95.639 -202.2672 (220*2π)/9554 weeks
221-376.8867 -223.1677 (221*2π)/9554 weeks
222-74.10669 -219.2508 (222*2π)/9554 weeks
223-285.4517 -251.0679 (223*2π)/9554 weeks
224-131.5518 -244.5404 (224*2π)/9554 weeks
225-224.9137 -106.1694 (225*2π)/9554 weeks
226-233.0938 -270.1628 (226*2π)/9554 weeks
227-285.7168 -166.5963 (227*2π)/9554 weeks
228-227.0933 -261.4889 (228*2π)/9554 weeks
229-133.5153 -428.5018 (229*2π)/9554 weeks
230-326.2607 -261.1843 (230*2π)/9554 weeks
231-335.2446 -580.5018 (231*2π)/9554 weeks
232-429.8726 -295.1987 (232*2π)/9554 weeks
233-347.9614 -378.0824 (233*2π)/9554 weeks
234-387.1707 -156.4577 (234*2π)/9554 weeks
235-284.6056 -200.8062 (235*2π)/9554 weeks
236-275.3012 -244.6366 (236*2π)/9554 weeks
237-465.1837 -358.0861 (237*2π)/9554 weeks
238-195.7669 -324.7214 (238*2π)/9554 weeks
239-441.3675 -262.6204 (239*2π)/9554 weeks
240-111.0232 -318.9715 (240*2π)/9554 weeks
241-276.1587 -249.3057 (241*2π)/9554 weeks
242-234.8131 -221.0092 (242*2π)/9554 weeks
243-181.5632 -285.138 (243*2π)/9554 weeks
244-304.8044 -349.9809 (244*2π)/9554 weeks
245-280.9138 -333.0391 (245*2π)/9554 weeks
246-333.8853 -269.3997 (246*2π)/9554 weeks
247-250.6816 -356.0187 (247*2π)/9554 weeks
248-301.8095 -146.3299 (248*2π)/9554 weeks
249-247.8616 -271.6983 (249*2π)/9554 weeks
250-204.2379 -238.369 (250*2π)/9554 weeks
251-87.16325 -104.7212 (251*2π)/9554 weeks
252-186.7035 -416.0953 (252*2π)/9554 weeks
253-248.481 -108.0623 (253*2π)/9554 weeks
254-285.8156 -289.6736 (254*2π)/9554 weeks
255-210.7541 -83.30489 (255*2π)/9554 weeks
256-376.9413 -221.6814 (256*2π)/9554 weeks
257-127.2247 -201.0751 (257*2π)/9554 weeks
258-213.0065 -264.7356 (258*2π)/9554 weeks
259-298.1234 -264.6015 (259*2π)/9554 weeks
260-469.3344 -184.454 (260*2π)/9554 weeks
261-276.7768 -168.9559 (261*2π)/9554 weeks
262-327.1408 34.80051 (262*2π)/9554 weeks
263-212.5497 -136.5903 (263*2π)/9554 weeks
264-224.3887 -54.97831 (264*2π)/9554 weeks
265-310.6526 -62.3937 (265*2π)/9554 weeks
266-171.2801 -138.9463 (266*2π)/9554 weeks
267-246.1078 -98.40401 (267*2π)/9554 weeks
268-249.6178 -252.2014 (268*2π)/9554 weeks
269-99.37969 -62.75087 (269*2π)/9554 weeks
270-254.8521 -256.6637 (270*2π)/9554 weeks
271-168.6197 -210.754 (271*2π)/9554 weeks
272-337.4064 -80.61232 (272*2π)/9554 weeks
273-147.6884 -59.40136 (273*2π)/9553 weeks
274-228.7667 -2.29249 (274*2π)/9553 weeks
27513.64212 -224.4774 (275*2π)/9553 weeks
276-131.3179 -83.25885 (276*2π)/9553 weeks
27735.17521 -153.899 (277*2π)/9553 weeks
278-220.4091 -215.7109 (278*2π)/9553 weeks
279-40.71589 -277.5987 (279*2π)/9553 weeks
280-164.3541 -229.3658 (280*2π)/9553 weeks
281-232.0797 -303.4357 (281*2π)/9553 weeks
282-59.54972 -133.201 (282*2π)/9553 weeks
283-261.2285 -231.3105 (283*2π)/9553 weeks
284-50.11922 -260.335 (284*2π)/9553 weeks
285-348.9813 -287.4404 (285*2π)/9553 weeks
286-277.812 -100.1867 (286*2π)/9553 weeks
287-274.9876 -195.277 (287*2π)/9553 weeks
288-299.2517 -135.8354 (288*2π)/9553 weeks
289-292.6272 35.51388 (289*2π)/9553 weeks
290-131.8329 -106.9098 (290*2π)/9553 weeks
291-183.1719 -200.1541 (291*2π)/9553 weeks
292-105.8833 -315.2065 (292*2π)/9553 weeks
293-216.0857 -257.2811 (293*2π)/9553 weeks
294-150.9324 -158.243 (294*2π)/9553 weeks
295-233.5098 -104.296 (295*2π)/9553 weeks
29621.09565 -305.636 (296*2π)/9553 weeks
297-170.35 -218.5885 (297*2π)/9553 weeks
298-118.2103 -346.754 (298*2π)/9553 weeks
299-232.273 45.84644 (299*2π)/9553 weeks
300-17.95604 -185.9152 (300*2π)/9553 weeks
301-49.19318 -62.80947 (301*2π)/9553 weeks
302-128.9324 -299.7523 (302*2π)/9553 weeks
303-117.5915 -144.1207 (303*2π)/9553 weeks
304-252.0391 -308.4514 (304*2π)/9553 weeks
305-244.9069 -196.7942 (305*2π)/9553 weeks
306-223.8475 -104.2181 (306*2π)/9553 weeks
307-129.8644 -260.8789 (307*2π)/9553 weeks
308-252.7041 -117.1731 (308*2π)/9553 weeks
309-168.3343 -306.0721 (309*2π)/9553 weeks
310-158.0164 -125.4663 (310*2π)/9553 weeks
311-262.3329 -275.6444 (311*2π)/9553 weeks
312-255.3769 -241.8085 (312*2π)/9553 weeks
313-192.3676 -205.5368 (313*2π)/9553 weeks
314-140.3539 -284.3378 (314*2π)/9553 weeks
315-125.3682 -199.788 (315*2π)/9553 weeks
316-270.162 -317.7621 (316*2π)/9553 weeks
317-95.94282 -20.18585 (317*2π)/9553 weeks
318-265.8168 -326.8612 (318*2π)/9553 weeks
319-228.7772 -192.7285 (319*2π)/9553 weeks
320-284.1393 -215.3065 (320*2π)/9553 weeks
321-195.845 -133.488 (321*2π)/9553 weeks
322-268.6278 -275.0592 (322*2π)/9553 weeks
323-178.0291 -168.4713 (323*2π)/9553 weeks
324-233.0642 -176.5573 (324*2π)/9553 weeks
325-333.5829 -323.0103 (325*2π)/9553 weeks
326-260.9 -195.1672 (326*2π)/9553 weeks
327-230.9756 -296.2935 (327*2π)/9553 weeks
328-234.577 -96.20655 (328*2π)/9553 weeks
329-199.4403 -275.2607 (329*2π)/9553 weeks
330-249.761 -209.4572 (330*2π)/9553 weeks
331-375.7194 -194.2813 (331*2π)/9553 weeks
332-307.4244 -250.9597 (332*2π)/9553 weeks
333-376.2024 -255.9684 (333*2π)/9553 weeks
334-306.477 -219.8349 (334*2π)/9553 weeks
335-182.8725 -148.737 (335*2π)/9553 weeks
336-345.9785 -294.0012 (336*2π)/9553 weeks
337-390.7904 -194.7069 (337*2π)/9553 weeks
338-272.2452 -207.9477 (338*2π)/9553 weeks
339-397.0727 -313.6753 (339*2π)/9553 weeks
340-316.1932 -37.3438 (340*2π)/9553 weeks
341-274.5288 -245.4334 (341*2π)/9553 weeks
342-314.7364 -163.9098 (342*2π)/9553 weeks
343-391.5758 -200.5899 (343*2π)/9553 weeks
344-296.6895 -145.2222 (344*2π)/9553 weeks
345-394.2871 -250.7829 (345*2π)/9553 weeks
346-393.9904 -192.5145 (346*2π)/9553 weeks
347-519.0511 -315.3346 (347*2π)/9553 weeks
348-431.0065 1.328 (348*2π)/9553 weeks
349-315.7681 -90.15334 (349*2π)/9553 weeks
350-290.8763 31.67561 (350*2π)/9553 weeks
351-282.5651 -55.98598 (351*2π)/9553 weeks
352-229.8658 3.8466 (352*2π)/9553 weeks
353-302.3136 -181.8921 (353*2π)/9553 weeks
354-264.3992 15.73169 (354*2π)/9553 weeks
355-168.6556 -192.7221 (355*2π)/9553 weeks
356-310.0161 -153.9404 (356*2π)/9553 weeks
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947-2,590.287 13,857.99