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# Fourier Analysis of FBC (Flagstar Bancorp)

FBC (Flagstar Bancorp) appears to have interesting cyclic behaviour every 80 weeks (35.7447*cosine), 87 weeks (33.2922*sine), and 43 weeks (23.2162*cosine).

FBC (Flagstar Bancorp) has an average price of 535.62 (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 FBC (Flagstar Bancorp), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0535.6227   0
1-107.4211 814.567 (1*2π)/955955 weeks
2-367.9853 -125.1406 (2*2π)/955478 weeks
351.4234 -71.68924 (3*2π)/955318 weeks
411.884 -30.67113 (4*2π)/955239 weeks
576.88078 48.92873 (5*2π)/955191 weeks
6-64.16861 66.1709 (6*2π)/955159 weeks
7-23.88961 -30.35655 (7*2π)/955136 weeks
8-3.51005 -3.41953 (8*2π)/955119 weeks
97.39369 -14.96879 (9*2π)/955106 weeks
1021.70804 2.70106 (10*2π)/95596 weeks
1110.87445 33.29218 (11*2π)/95587 weeks
12-35.74471 13.96997 (12*2π)/95580 weeks
13-8.39586 -22.17341 (13*2π)/95573 weeks
1412.36704 -13.09426 (14*2π)/95568 weeks
1519.08275 10.06901 (15*2π)/95564 weeks
16-7.7861 12.74073 (16*2π)/95560 weeks
173.98741 1.72106 (17*2π)/95556 weeks
18-13.05306 13.30349 (18*2π)/95553 weeks
19-10.15192 -15.99351 (19*2π)/95550 weeks
203.71324 -8.39693 (20*2π)/95548 weeks
2114.33808 -14.68193 (21*2π)/95545 weeks
2223.21618 7.99587 (22*2π)/95543 weeks
239.22214 17.84394 (23*2π)/95542 weeks
24-7.53805 18.01089 (24*2π)/95540 weeks
25-14.45246 -6.4646 (25*2π)/95538 weeks
2615.00373 -11.71935 (26*2π)/95537 weeks
2714.03018 21.1533 (27*2π)/95535 weeks
28-16.81099 8.35614 (28*2π)/95534 weeks
293.99583 -7.18216 (29*2π)/95533 weeks
30-.10545 4.44602 (30*2π)/95532 weeks
3113.94647 -5.2882 (31*2π)/95531 weeks
325.34246 24.64342 (32*2π)/95530 weeks
33-9.083 .50512 (33*2π)/95529 weeks
342.3486 14.09645 (34*2π)/95528 weeks
35-13.42487 -2.38817 (35*2π)/95527 weeks
367.22721 3.95862 (36*2π)/95527 weeks
37-8.20838 5.74149 (37*2π)/95526 weeks
38-.50891 3.38066 (38*2π)/95525 weeks
39-8.20255 2.0979 (39*2π)/95524 weeks
40-1.16222 1.73113 (40*2π)/95524 weeks
41-13.93035 1.84377 (41*2π)/95523 weeks
42-3.0056 -15.7403 (42*2π)/95523 weeks
438.43061 -.27098 (43*2π)/95522 weeks
44-.64534 2.32327 (44*2π)/95522 weeks
45-5.62029 2.37495 (45*2π)/95521 weeks
46-6.82681 -12.83689 (46*2π)/95521 weeks
478.78394 -11.56575 (47*2π)/95520 weeks
4815.37594 -3.90632 (48*2π)/95520 weeks
4910.19439 13.29282 (49*2π)/95519 weeks
50-7.08247 5.8473 (50*2π)/95519 weeks
51-2.73611 -5.03477 (51*2π)/95519 weeks
529.1066 -8.54524 (52*2π)/95518 weeks
5311.85022 8.87667 (53*2π)/95518 weeks
542.44103 3.65295 (54*2π)/95518 weeks
554.76033 11.90998 (55*2π)/95517 weeks
56-8.78517 .16562 (56*2π)/95517 weeks
5710.24134 .16277 (57*2π)/95517 weeks
58-1.37372 9.10487 (58*2π)/95516 weeks
594.33958 3.6855 (59*2π)/95516 weeks
60-5.02355 12.91698 (60*2π)/95516 weeks
61-6.18262 -1.44535 (61*2π)/95516 weeks
621.69978 5.0843 (62*2π)/95515 weeks
63-6.74666 5.47856 (63*2π)/95515 weeks
64-5.66817 1.23436 (64*2π)/95515 weeks
65-8.26829 1.13228 (65*2π)/95515 weeks
66-7.43557 -7.36426 (66*2π)/95514 weeks
67.51068 -5.47703 (67*2π)/95514 weeks
68-2.70257 -5.09839 (68*2π)/95514 weeks
693.85549 -7.98605 (69*2π)/95514 weeks
705.38246 -2.38836 (70*2π)/95514 weeks
715.32769 .02507 (71*2π)/95513 weeks
72-.76583 1.90897 (72*2π)/95513 weeks
73.72464 -8.29473 (73*2π)/95513 weeks
7414.62945 -2.94436 (74*2π)/95513 weeks
755.67312 11.8065 (75*2π)/95513 weeks
76-3.20479 1.1871 (76*2π)/95513 weeks
773.03602 -1.44011 (77*2π)/95512 weeks
787.89566 -1.70238 (78*2π)/95512 weeks
799.62465 9.74154 (79*2π)/95512 weeks
80-1.31762 8.99309 (80*2π)/95512 weeks
81.14392 5.96402 (81*2π)/95512 weeks
82-2.94044 4.97594 (82*2π)/95512 weeks
831.56169 2.09757 (83*2π)/95512 weeks
84.4135 10.273 (84*2π)/95511 weeks
85-7.77699 6.15657 (85*2π)/95511 weeks
86-5.27861 3.38 (86*2π)/95511 weeks
87-8.3633 .91457 (87*2π)/95511 weeks
88-4.64204 -.94507 (88*2π)/95511 weeks
89-7.22402 -3.59452 (89*2π)/95511 weeks
901.76017 -4.55075 (90*2π)/95511 weeks
91-3.7874 2.20477 (91*2π)/95510 weeks
92-4.53192 -5.19843 (92*2π)/95510 weeks
93-1.10298 -4.27838 (93*2π)/95510 weeks
94-1.21407 -6.93402 (94*2π)/95510 weeks
955.98727 -6.62551 (95*2π)/95510 weeks
964.40299 .42127 (96*2π)/95510 weeks
971.79392 -2.12188 (97*2π)/95510 weeks
983.01258 -2.24176 (98*2π)/95510 weeks
996.24626 -3.27106 (99*2π)/95510 weeks
1007.27244 4.03338 (100*2π)/95510 weeks
101.41362 1.9435 (101*2π)/9559 weeks
1024.68193 .13214 (102*2π)/9559 weeks
1033.26188 1.42845 (103*2π)/9559 weeks
1047.09355 1.58529 (104*2π)/9559 weeks
1055.86713 7.30127 (105*2π)/9559 weeks
1062.41649 9.3029 (106*2π)/9559 weeks
107-4.78768 8.87999 (107*2π)/9559 weeks
108-3.42575 .55225 (108*2π)/9559 weeks
109-.35535 4.27514 (109*2π)/9559 weeks
110-2.76982 2.05211 (110*2π)/9559 weeks
111-.05021 4.17399 (111*2π)/9559 weeks
112-4.65526 4.04295 (112*2π)/9559 weeks
113-3.22927 3.40681 (113*2π)/9558 weeks
114-10.08129 1.99963 (114*2π)/9558 weeks
115-4.35626 -6.78323 (115*2π)/9558 weeks
116-2.21629 -1.18599 (116*2π)/9558 weeks
117-2.44941 -6.11411 (117*2π)/9558 weeks
1181.40953 -1.95432 (118*2π)/9558 weeks
119-1.11039 -3.83175 (119*2π)/9558 weeks
1201.99684 -2.14172 (120*2π)/9558 weeks
121.14273 -4.5363 (121*2π)/9558 weeks
1226.24952 -.29709 (122*2π)/9558 weeks
123-3.51791 .11571 (123*2π)/9558 weeks
1244.58866 -7.39348 (124*2π)/9558 weeks
1255.44237 .13614 (125*2π)/9558 weeks
1266.10323 -1.52317 (126*2π)/9558 weeks
1276.8641 3.67741 (127*2π)/9558 weeks
1283.50957 4.29018 (128*2π)/9557 weeks
1292.05708 4.70818 (129*2π)/9557 weeks
130.00707 2.23977 (130*2π)/9557 weeks
1313.7453 1.76146 (131*2π)/9557 weeks
1323.09861 5.52179 (132*2π)/9557 weeks
133.83371 6.93088 (133*2π)/9557 weeks
134-3.24441 5.85426 (134*2π)/9557 weeks
135-1.76771 2.6183 (135*2π)/9557 weeks
136-1.18396 5.33811 (136*2π)/9557 weeks
137-5.94728 5.8203 (137*2π)/9557 weeks
138-7.34968 .39129 (138*2π)/9557 weeks
139-5.66998 -.77565 (139*2π)/9557 weeks
140-4.54493 -3.59851 (140*2π)/9557 weeks
141-2.16825 -1.7666 (141*2π)/9557 weeks
142-4.01532 -3.71181 (142*2π)/9557 weeks
143-1.00224 -4.29463 (143*2π)/9557 weeks
144-1.02959 -5.13133 (144*2π)/9557 weeks
1452.20456 -4.45137 (145*2π)/9557 weeks
146.84117 -4.37791 (146*2π)/9557 weeks
1475.6865 -4.43994 (147*2π)/9556 weeks
1482.91357 -.79593 (148*2π)/9556 weeks
1496.94825 -3.34001 (149*2π)/9556 weeks
1504.89325 4.36151 (150*2π)/9556 weeks
1511.94203 -.12863 (151*2π)/9556 weeks
1523.85927 1.37899 (152*2π)/9556 weeks
1534.18575 .20223 (153*2π)/9556 weeks
1546.15439 4.31688 (154*2π)/9556 weeks
1551.63707 5.38181 (155*2π)/9556 weeks
1562.28207 4.49972 (156*2π)/9556 weeks
157-.65399 5.08237 (157*2π)/9556 weeks
1582.20892 2.86991 (158*2π)/9556 weeks
159.95266 9.62338 (159*2π)/9556 weeks
160-6.74213 7.82701 (160*2π)/9556 weeks
161-8.16112 2.15536 (161*2π)/9556 weeks
162-4.89977 -1.9251 (162*2π)/9556 weeks
163-1.87985 1.30844 (163*2π)/9556 weeks
164-6.77016 1.05573 (164*2π)/9556 weeks
165-4.9855 -3.62935 (165*2π)/9556 weeks
166-3.06321 -3.07279 (166*2π)/9556 weeks
167-2.94173 -4.14994 (167*2π)/9556 weeks
168-.95716 -4.38917 (168*2π)/9556 weeks
169-1.48738 -4.8611 (169*2π)/9556 weeks
1701.9111 -6.24211 (170*2π)/9556 weeks
1713.02093 -4.17438 (171*2π)/9556 weeks
1725.21816 -3.60443 (172*2π)/9556 weeks
1734.27411 .29563 (173*2π)/9556 weeks
1742.56801 -.94352 (174*2π)/9555 weeks
1752.67704 -1.56248 (175*2π)/9555 weeks
1765.70786 -2.32387 (176*2π)/9555 weeks
1775.94832 1.76133 (177*2π)/9555 weeks
1785.07323 1.93063 (178*2π)/9555 weeks
1794.39515 3.00512 (179*2π)/9555 weeks
1806.65884 3.90659 (180*2π)/9555 weeks
1812.9889 10.14709 (181*2π)/9555 weeks
182-2.27544 6.14454 (182*2π)/9555 weeks
183-.81047 5.89222 (183*2π)/9555 weeks
184-3.67124 4.7759 (184*2π)/9555 weeks
185-2.75404 4.3478 (185*2π)/9555 weeks
186-5.7345 3.04045 (186*2π)/9555 weeks
187-4.35325 1.13377 (187*2π)/9555 weeks
188-5.31568 -.07316 (188*2π)/9555 weeks
189-3.93878 -.85627 (189*2π)/9555 weeks
190-4.35795 -2.66833 (190*2π)/9555 weeks
191-1.7901 -2.62902 (191*2π)/9555 weeks
192-3.03641 -2.43817 (192*2π)/9555 weeks
193-1.77542 -4.72386 (193*2π)/9555 weeks
194.07085 -4.48043 (194*2π)/9555 weeks
1951.98902 -3.98299 (195*2π)/9555 weeks
196.7162 -1.92418 (196*2π)/9555 weeks
1972.26242 -5.01677 (197*2π)/9555 weeks
1983.16303 -.95984 (198*2π)/9555 weeks
1992.45341 -5.04958 (199*2π)/9555 weeks
2008.55629 -.42401 (200*2π)/9555 weeks
2012.45176 2.70906 (201*2π)/9555 weeks
2023.54123 -1.08275 (202*2π)/9555 weeks
2034.96596 1.25174 (203*2π)/9555 weeks
2045.23692 1.47452 (204*2π)/9555 weeks
2056.03656 4.96128 (205*2π)/9555 weeks
2062.81099 7.17352 (206*2π)/9555 weeks
207-.37075 7.35935 (207*2π)/9555 weeks
208-2.88879 4.02435 (208*2π)/9555 weeks
209.62013 3.17048 (209*2π)/9555 weeks
210-2.11305 6.96732 (210*2π)/9555 weeks
211-4.22021 3.57608 (211*2π)/9555 weeks
212-5.42675 4.98972 (212*2π)/9555 weeks
213-8.11621 -1.35307 (213*2π)/9554 weeks
214-2.7888 -1.11041 (214*2π)/9554 weeks
215-5.9366 -2.00827 (215*2π)/9554 weeks
216-1.34701 -3.86393 (216*2π)/9554 weeks
217-3.30938 -1.24064 (217*2π)/9554 weeks
218-2.67083 -5.34437 (218*2π)/9554 weeks
219-.33056 -4.43345 (219*2π)/9554 weeks
2201.27186 -5.8641 (220*2π)/9554 weeks
2213.76715 -2.00739 (221*2π)/9554 weeks
222.39225 -2.35002 (222*2π)/9554 weeks
2232.7595 -4.08067 (223*2π)/9554 weeks
2244.48563 -2.4959 (224*2π)/9554 weeks
2254.25028 -1.34683 (225*2π)/9554 weeks
2265.85076 -.64261 (226*2π)/9554 weeks
2274.30767 2.62071 (227*2π)/9554 weeks
2283.24189 .45806 (228*2π)/9554 weeks
2295.45557 2.25666 (229*2π)/9554 weeks
2303.81887 3.85856 (230*2π)/9554 weeks
2314.14288 5.70635 (231*2π)/9554 weeks
232-.89256 7.28455 (232*2π)/9554 weeks
233-.77822 3.24853 (233*2π)/9554 weeks
234-.83779 5.6407 (234*2π)/9554 weeks
235-2.70806 4.06007 (235*2π)/9554 weeks
236-3.7398 4.79283 (236*2π)/9554 weeks
237-6.10873 1.39972 (237*2π)/9554 weeks
238-3.66638 .24624 (238*2π)/9554 weeks
239-4.93089 .37437 (239*2π)/9554 weeks
240-4.89274 -2.57056 (240*2π)/9554 weeks
241-2.55607 -2.84965 (241*2π)/9554 weeks
242-2.63677 -3.29491 (242*2π)/9554 weeks
243-1.04539 -3.17792 (243*2π)/9554 weeks
244-1.96944 -4.21543 (244*2π)/9554 weeks
2451.53737 -4.82843 (245*2π)/9554 weeks
246.50588 -2.8054 (246*2π)/9554 weeks
2471.73903 -5.56107 (247*2π)/9554 weeks
2484.77823 -3.42059 (248*2π)/9554 weeks
2494.63719 -1.98778 (249*2π)/9554 weeks
2504.99567 -.23029 (250*2π)/9554 weeks
2513.29698 -.35208 (251*2π)/9554 weeks
2525.91476 -1.03969 (252*2π)/9554 weeks
2536.19651 2.20627 (253*2π)/9554 weeks
2546.68813 4.1938 (254*2π)/9554 weeks
2552.03365 8.06591 (255*2π)/9554 weeks
256-.0313 3.20425 (256*2π)/9554 weeks
2571.80264 5.6413 (257*2π)/9554 weeks
258-.74795 4.5534 (258*2π)/9554 weeks
259-.35627 6.68379 (259*2π)/9554 weeks
260-5.60797 4.92347 (260*2π)/9554 weeks
261-3.94845 1.6206 (261*2π)/9554 weeks
262-3.96613 1.51786 (262*2π)/9554 weeks
263-2.98884 1.17581 (263*2π)/9554 weeks
264-5.25249 1.59543 (264*2π)/9554 weeks
265-5.23389 -1.81289 (265*2π)/9554 weeks
266-4.71026 -2.66835 (266*2π)/9554 weeks
267-2.12445 -5.19576 (267*2π)/9554 weeks
268-.65407 -2.42028 (268*2π)/9554 weeks
269-1.48562 -4.17968 (269*2π)/9554 weeks
270.32462 -3.06147 (270*2π)/9554 weeks
271-.91185 -4.24501 (271*2π)/9554 weeks
2721.98847 -4.97442 (272*2π)/9554 weeks
2732.42893 -4.05271 (273*2π)/9553 weeks
2744.95431 -4.23856 (274*2π)/9553 weeks
2755.22149 -.89548 (275*2π)/9553 weeks
2764.91315 -1.69535 (276*2π)/9553 weeks
2776.73944 .85278 (277*2π)/9553 weeks
2785.52556 2.92027 (278*2π)/9553 weeks
2793.87147 4.23365 (279*2π)/9553 weeks
2802.55453 3.83027 (280*2π)/9553 weeks
2812.67022 4.32143 (281*2π)/9553 weeks
282.94173 5.78589 (282*2π)/9553 weeks
283-.82039 4.09874 (283*2π)/9553 weeks
284-.04095 4.77866 (284*2π)/9553 weeks
285-2.74538 4.82078 (285*2π)/9553 weeks
286-2.72325 3.48754 (286*2π)/9553 weeks
287-4.25799 3.86749 (287*2π)/9553 weeks
288-5.99822 1.56646 (288*2π)/9553 weeks
289-5.0683 -1.68393 (289*2π)/9553 weeks
290-2.32422 -.959 (290*2π)/9553 weeks
291-4.67159 -.84417 (291*2π)/9553 weeks
292-2.85408 -3.43799 (292*2π)/9553 weeks
293-2.7125 -2.75164 (293*2π)/9553 weeks
294-1.78617 -4.37586 (294*2π)/9553 weeks
295-.76801 -4.50335 (295*2π)/9553 weeks
296.91234 -4.596 (296*2π)/9553 weeks
297.8236 -4.35972 (297*2π)/9553 weeks
2983.27856 -5.15123 (298*2π)/9553 weeks
2994.27981 -3.22667 (299*2π)/9553 weeks
3005.78433 -2.63531 (300*2π)/9553 weeks
3015.79138 .54528 (301*2π)/9553 weeks
3024.25816 .42803 (302*2π)/9553 weeks
3035.48812 .84735 (303*2π)/9553 weeks
3045.92528 3.09031 (304*2π)/9553 weeks
3054.18427 5.80055 (305*2π)/9553 weeks
3061.37685 5.38196 (306*2π)/9553 weeks
3071.21212 5.52644 (307*2π)/9553 weeks
308-1.31665 5.62396 (308*2π)/9553 weeks
309-1.43484 4.13448 (309*2π)/9553 weeks
310-2.64203 5.1488 (310*2π)/9553 weeks
311-5.03261 3.23941 (311*2π)/9553 weeks
312-4.52989 .58505 (312*2π)/9553 weeks
313-3.00693 .1959 (313*2π)/9553 weeks
314-3.48655 .83653 (314*2π)/9553 weeks
315-4.46185 -.60701 (315*2π)/9553 weeks
316-3.60489 -2.13895 (316*2π)/9553 weeks
317-2.49049 -2.06582 (317*2π)/9553 weeks
318-3.69634 -2.28856 (318*2π)/9553 weeks
319-2.79514 -5.33742 (319*2π)/9553 weeks
320.07415 -5.37607 (320*2π)/9553 weeks
3211.40991 -4.25707 (321*2π)/9553 weeks
322.65599 -3.88226 (322*2π)/9553 weeks
3232.9241 -5.72529 (323*2π)/9553 weeks
3244.60978 -3.04773 (324*2π)/9553 weeks
3255.47602 -3.64792 (325*2π)/9553 weeks
3267.45191 .65862 (326*2π)/9553 weeks
3274.37603 1.73695 (327*2π)/9553 weeks
3284.753 1.93107 (328*2π)/9553 weeks
3294.00916 2.3074 (329*2π)/9553 weeks
3305.22851 3.79165 (330*2π)/9553 weeks
3312.77541 6.46737 (331*2π)/9553 weeks
332.76578 6.36236 (332*2π)/9553 weeks
333-2.49265 6.20882 (333*2π)/9553 weeks
334-2.97962 2.35737 (334*2π)/9553 weeks
335-.81227 2.82912 (335*2π)/9553 weeks
336-2.58085 4.15707 (336*2π)/9553 weeks
337-3.76018 2.21969 (337*2π)/9553 weeks
338-3.88654 2.44418 (338*2π)/9553 weeks
339-5.41421 -.04289 (339*2π)/9553 weeks
340-3.24258 -1.00003 (340*2π)/9553 weeks
341-3.67375 -.56419 (341*2π)/9553 weeks
342-4.09022 -1.6042 (342*2π)/9553 weeks
343-4.70998 -2.98642 (343*2π)/9553 weeks
344-2.68115 -6.22525 (344*2π)/9553 weeks
345-.05405 -4.23018 (345*2π)/9553 weeks
346-1.14338 -5.83883 (346*2π)/9553 weeks
3473.06692 -5.87874 (347*2π)/9553 weeks
3482.71455 -3.76915 (348*2π)/9553 weeks
3494.49731 -4.3472 (349*2π)/9553 weeks
3505.04229 -1.78473 (350*2π)/9553 weeks
3515.77312 -2.48979 (351*2π)/9553 weeks
3527.68525 2.49482 (352*2π)/9553 weeks
3532.47907 2.94011 (353*2π)/9553 weeks
3544.97935 1.75026 (354*2π)/9553 weeks
3552.09687 5.18552 (355*2π)/9553 weeks
3561.52416 .95534 (356*2π)/9553 weeks
3574.73992 4.77239 (357*2π)/9553 weeks
358.23023 5.95441 (358*2π)/9553 weeks
359.14026 6.23874 (359*2π)/9553 weeks
360-4.77066 5.18818 (360*2π)/9553 weeks
361-2.47425 1.44517 (361*2π)/9553 weeks
362-2.8701 3.29445 (362*2π)/9553 weeks
363-3.36711 1.7658 (363*2π)/9553 weeks
364-4.46006 3.11331 (364*2π)/9553 weeks
365-7.16436 -1.1283 (365*2π)/9553 weeks
366-2.73523 -2.30918 (366*2π)/9553 weeks
367-5.38034 -1.31235 (367*2π)/9553 weeks
368-3.03117 -5.08999 (368*2π)/9553 weeks
369-2.84963 -3.3433 (369*2π)/9553 weeks
370-1.59652 -7.19746 (370*2π)/9553 weeks
3711.75313 -4.7359 (371*2π)/9553 weeks
3721.06442 -5.96789 (372*2π)/9553 weeks
3735.33162 -4.09528 (373*2π)/9553 weeks
3743.0281 -2.22418 (374*2π)/9553 weeks
3755.02817 -3.04475 (375*2π)/9553 weeks
3765.33642 -.53336 (376*2π)/9553 weeks
3774.91031 .18761 (377*2π)/9553 weeks
3785.17489 1.26837 (378*2π)/9553 weeks
3794.34024 2.5456 (379*2π)/9553 weeks
3804.49144 3.35453 (380*2π)/9553 weeks
3812.3947 4.91918 (381*2π)/9553 weeks
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