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Fourier Analysis of FWLT (Foster Wheeler AG.)


FWLT (Foster Wheeler AG.) appears to have interesting cyclic behaviour every 170 weeks (10.3924*cosine), 170 weeks (9.4475*sine), and 89 weeks (9.0814*cosine).

FWLT (Foster Wheeler AG.) has an average price of 123 (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 6/1/1972 to 12/1/2014 for FWLT (Foster Wheeler AG.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0123.0021   0 
1-122.5294 30.67397 (1*2π)/22142,214 weeks
253.36522 24.51343 (2*2π)/22141,107 weeks
3-42.49838 -43.18541 (3*2π)/2214738 weeks
47.231 16.41774 (4*2π)/2214554 weeks
517.09633 -9.39118 (5*2π)/2214443 weeks
6-4.82465 12.95943 (6*2π)/2214369 weeks
710.49115 1.66663 (7*2π)/2214316 weeks
8-14.2825 -8.08977 (8*2π)/2214277 weeks
93.94436 5.10982 (9*2π)/2214246 weeks
104.70849 -3.98284 (10*2π)/2214221 weeks
11-3.99449 6.75582 (11*2π)/2214201 weeks
126.69795 8.39663 (12*2π)/2214185 weeks
13-10.39241 -9.44748 (13*2π)/2214170 weeks
142.66677 -2.909 (14*2π)/2214158 weeks
15.10692 -1.82651 (15*2π)/2214148 weeks
16.27857 4.74911 (16*2π)/2214138 weeks
17-4.53616 .02729 (17*2π)/2214130 weeks
18-2.8121 2.314 (18*2π)/2214123 weeks
193.03752 -7.16638 (19*2π)/2214117 weeks
203.77672 .68198 (20*2π)/2214111 weeks
21-7.08392 .5313 (21*2π)/2214105 weeks
22.31208 1.23743 (22*2π)/2214101 weeks
23.33141 -5.7937 (23*2π)/221496 weeks
24-3.07499 3.90444 (24*2π)/221492 weeks
259.08144 -4.87383 (25*2π)/221489 weeks
26-4.09903 -.48552 (26*2π)/221485 weeks
271.44644 1.83621 (27*2π)/221482 weeks
28-2.71904 -2.77468 (28*2π)/221479 weeks
291.4039 -.36719 (29*2π)/221476 weeks
30-.79679 -.62316 (30*2π)/221474 weeks
313.87747 2.23791 (31*2π)/221471 weeks
32-1.74541 2.35064 (32*2π)/221469 weeks
33-1.45048 -2.60639 (33*2π)/221467 weeks
342.31299 2.1363 (34*2π)/221465 weeks
35-.12599 -2.40981 (35*2π)/221463 weeks
36-.53472 1.05006 (36*2π)/221462 weeks
371.38751 1.38685 (37*2π)/221460 weeks
38-3.48707 .63569 (38*2π)/221458 weeks
39-.21773 -1.80958 (39*2π)/221457 weeks
40.6184 -1.22949 (40*2π)/221455 weeks
411.82096 3.02549 (41*2π)/221454 weeks
42-2.00693 -3.50371 (42*2π)/221453 weeks
43-.0918 4.02716 (43*2π)/221451 weeks
44.65503 -1.9967 (44*2π)/221450 weeks
45.3921 -1.82806 (45*2π)/221449 weeks
46-.04036 4.23982 (46*2π)/221448 weeks
47.99955 -3.27456 (47*2π)/221447 weeks
48-.99249 1.29714 (48*2π)/221446 weeks
49-1.31655 -1.95162 (49*2π)/221445 weeks
502.09818 -.40061 (50*2π)/221444 weeks
51-1.81368 .93967 (51*2π)/221443 weeks
521.29156 -.61945 (52*2π)/221443 weeks
53-.98414 1.73578 (53*2π)/221442 weeks
54.78892 -2.16808 (54*2π)/221441 weeks
55-2.91567 -.36314 (55*2π)/221440 weeks
564.3635 .69257 (56*2π)/221440 weeks
57-1.41268 -1.06587 (57*2π)/221439 weeks
58-1.2819 2.84006 (58*2π)/221438 weeks
592.50991 -.26332 (59*2π)/221438 weeks
60-2.84441 -2.08095 (60*2π)/221437 weeks
611.46916 .56291 (61*2π)/221436 weeks
621.62183 -.42445 (62*2π)/221436 weeks
63-1.26117 1.88145 (63*2π)/221435 weeks
64-.46327 -.44582 (64*2π)/221435 weeks
65-.23019 .25198 (65*2π)/221434 weeks
66.34487 -.42236 (66*2π)/221434 weeks
67.77097 -.67841 (67*2π)/221433 weeks
68-1.26774 1.24414 (68*2π)/221433 weeks
69.87442 -.41241 (69*2π)/221432 weeks
70-2.01335 -1.84344 (70*2π)/221432 weeks
711.1032 3.57114 (71*2π)/221431 weeks
72.28449 -3.12073 (72*2π)/221431 weeks
73-.55239 2.04645 (73*2π)/221430 weeks
741.32946 .68368 (74*2π)/221430 weeks
75-2.05594 -2.38876 (75*2π)/221430 weeks
76.60818 1.51954 (76*2π)/221429 weeks
77.11806 -.87297 (77*2π)/221429 weeks
78-.00192 .8682 (78*2π)/221428 weeks
79.27784 -.1125 (79*2π)/221428 weeks
80-.56953 -1.03045 (80*2π)/221428 weeks
81-.17407 -.17286 (81*2π)/221427 weeks
822.02944 -.60536 (82*2π)/221427 weeks
83-3.16433 1.19817 (83*2π)/221427 weeks
843.32717 -.35596 (84*2π)/221426 weeks
85-2.13711 .65911 (85*2π)/221426 weeks
86.67802 -1.12064 (86*2π)/221426 weeks
87.28296 .39639 (87*2π)/221425 weeks
88-.31674 -.00673 (88*2π)/221425 weeks
89-1.08374 -.62663 (89*2π)/221425 weeks
901.99783 1.11844 (90*2π)/221425 weeks
91-1.02314 -.39529 (91*2π)/221424 weeks
92.20635 .23418 (92*2π)/221424 weeks
93.08434 -.47723 (93*2π)/221424 weeks
94-.48062 -.71683 (94*2π)/221424 weeks
95.66162 .11464 (95*2π)/221423 weeks
96.89384 .76986 (96*2π)/221423 weeks
97-.68405 -.23829 (97*2π)/221423 weeks
98-.00296 1.01989 (98*2π)/221423 weeks
99-1.00118 -1.06209 (99*2π)/221422 weeks
100.44824 -.17546 (100*2π)/221422 weeks
101-.14111 -.70447 (101*2π)/221422 weeks
102.39103 .96674 (102*2π)/221422 weeks
103-.23773 -.92698 (103*2π)/221421 weeks
104.04997 .76976 (104*2π)/221421 weeks
105-1.02279 .31543 (105*2π)/221421 weeks
106.69999 -1.56153 (106*2π)/221421 weeks
107.19318 1.37446 (107*2π)/221421 weeks
108.38567 -.35291 (108*2π)/221421 weeks
109-.40808 .75781 (109*2π)/221420 weeks
110-1.03837 -.89395 (110*2π)/221420 weeks
1111.6987 -.13136 (111*2π)/221420 weeks
112-.51064 .04018 (112*2π)/221420 weeks
113.17017 .43538 (113*2π)/221420 weeks
114-.11596 .93927 (114*2π)/221419 weeks
115-.16964 -2.00682 (115*2π)/221419 weeks
116-.16758 1.26858 (116*2π)/221419 weeks
1171.46888 -.20613 (117*2π)/221419 weeks
118-1.6386 .8504 (118*2π)/221419 weeks
119.03996 -.54907 (119*2π)/221419 weeks
120-.26942 -.45112 (120*2π)/221418 weeks
121.58858 .31935 (121*2π)/221418 weeks
122-.50185 -.17594 (122*2π)/221418 weeks
123-.01486 .59809 (123*2π)/221418 weeks
124-.55274 -.97713 (124*2π)/221418 weeks
125.42528 -.44261 (125*2π)/221418 weeks
126-.27139 .79667 (126*2π)/221418 weeks
127-.01328 -.92788 (127*2π)/221417 weeks
128-.22526 1.37728 (128*2π)/221417 weeks
129-.39086 -.62211 (129*2π)/221417 weeks
130.60001 -.66327 (130*2π)/221417 weeks
131.63164 -.0588 (131*2π)/221417 weeks
132-.4557 .53714 (132*2π)/221417 weeks
133.04601 -.14909 (133*2π)/221417 weeks
134-1.1143 -.16541 (134*2π)/221417 weeks
135.52075 .06567 (135*2π)/221416 weeks
136.81566 -.60409 (136*2π)/221416 weeks
137-.08288 1.18173 (137*2π)/221416 weeks
138-.43151 -1.18569 (138*2π)/221416 weeks
139.23439 -.06575 (139*2π)/221416 weeks
140-.1071 -.07175 (140*2π)/221416 weeks
141.07421 -.31369 (141*2π)/221416 weeks
142-.02858 .45267 (142*2π)/221416 weeks
143.70705 -.4404 (143*2π)/221415 weeks
144-.78939 .35733 (144*2π)/221415 weeks
1451.05643 -.00912 (145*2π)/221415 weeks
146-1.13453 -.0611 (146*2π)/221415 weeks
147-.00815 .43049 (147*2π)/221415 weeks
148.73924 -.85725 (148*2π)/221415 weeks
149-.57392 .51896 (149*2π)/221415 weeks
150.56918 -.20483 (150*2π)/221415 weeks
151-.07357 .16871 (151*2π)/221415 weeks
152-.20788 .14419 (152*2π)/221415 weeks
153-.21032 -.02626 (153*2π)/221414 weeks
154.49154 .11051 (154*2π)/221414 weeks
155-.76669 -.32377 (155*2π)/221414 weeks
156.5915 .25718 (156*2π)/221414 weeks
157-.69319 .16364 (157*2π)/221414 weeks
158.43892 -.72824 (158*2π)/221414 weeks
159-.24995 .35093 (159*2π)/221414 weeks
160.06497 .23821 (160*2π)/221414 weeks
161.05071 -.4953 (161*2π)/221414 weeks
162-.34604 .58874 (162*2π)/221414 weeks
163.29577 -.0313 (163*2π)/221414 weeks
164-.09282 -.74574 (164*2π)/221414 weeks
165.24466 .25252 (165*2π)/221413 weeks
166.29083 -.09889 (166*2π)/221413 weeks
167-.39062 -.06033 (167*2π)/221413 weeks
168.46149 .1167 (168*2π)/221413 weeks
169-.50477 .23829 (169*2π)/221413 weeks
170.56721 -.34937 (170*2π)/221413 weeks
171-.2577 .27736 (171*2π)/221413 weeks
172-.20766 -.47069 (172*2π)/221413 weeks
173.79844 .62502 (173*2π)/221413 weeks
174-.94273 -.11698 (174*2π)/221413 weeks
175.39184 .02493 (175*2π)/221413 weeks
176-.03324 -.17726 (176*2π)/221413 weeks
177.2852 -.09917 (177*2π)/221413 weeks
178-.03786 .37394 (178*2π)/221412 weeks
179-.41066 -.00771 (179*2π)/221412 weeks
180.15639 -.60614 (180*2π)/221412 weeks
181.00018 .4226 (181*2π)/221412 weeks
182.28871 .07152 (182*2π)/221412 weeks
183-.41427 .18039 (183*2π)/221412 weeks
184.12375 -.52587 (184*2π)/221412 weeks
185-.29139 .28418 (185*2π)/221412 weeks
186.53641 -.35536 (186*2π)/221412 weeks
187-1.14144 .6116 (187*2π)/221412 weeks
188.78659 -.74517 (188*2π)/221412 weeks
189-.29026 .20101 (189*2π)/221412 weeks
190.26917 .40049 (190*2π)/221412 weeks
191-.48074 -.58489 (191*2π)/221412 weeks
192.09633 .21162 (192*2π)/221412 weeks
193-.04094 -.58769 (193*2π)/221411 weeks
194.07312 .26322 (194*2π)/221411 weeks
195.59874 -.58654 (195*2π)/221411 weeks
196-.32652 .54437 (196*2π)/221411 weeks
197-.18101 -.33063 (197*2π)/221411 weeks
198.20836 .14012 (198*2π)/221411 weeks
199.03485 -.63046 (199*2π)/221411 weeks
200.52314 .70338 (200*2π)/221411 weeks
201.35938 .09056 (201*2π)/221411 weeks
202-.64599 -.29821 (202*2π)/221411 weeks
203.15082 .26722 (203*2π)/221411 weeks
204.18864 -.46995 (204*2π)/221411 weeks
205-.18798 .69322 (205*2π)/221411 weeks
206-.09007 -.13788 (206*2π)/221411 weeks
207.18486 .32465 (207*2π)/221411 weeks
208-.13235 -.47607 (208*2π)/221411 weeks
209.01049 .00259 (209*2π)/221411 weeks
210.14907 .36741 (210*2π)/221411 weeks
211-.26909 -.11351 (211*2π)/221410 weeks
212-.02901 -.23351 (212*2π)/221410 weeks
213.19518 .05477 (213*2π)/221410 weeks
214.11088 -.03654 (214*2π)/221410 weeks
215-.35412 .44831 (215*2π)/221410 weeks
216-.38128 -.61365 (216*2π)/221410 weeks
217.30241 .43605 (217*2π)/221410 weeks
218.15242 -.82427 (218*2π)/221410 weeks
219.11809 .84121 (219*2π)/221410 weeks
220-.05081 -.30421 (220*2π)/221410 weeks
221-.55588 -.27854 (221*2π)/221410 weeks
222.19842 .10388 (222*2π)/221410 weeks
223.38708 -.39607 (223*2π)/221410 weeks
224.20333 .42566 (224*2π)/221410 weeks
225.19337 .1805 (225*2π)/221410 weeks
226-.21405 -.13951 (226*2π)/221410 weeks
227-.30174 -.10529 (227*2π)/221410 weeks
228.34515 -.27685 (228*2π)/221410 weeks
229-.13238 .39342 (229*2π)/221410 weeks
230.48527 -.07004 (230*2π)/221410 weeks
231-.35686 .54413 (231*2π)/221410 weeks
232-.02017 -.5202 (232*2π)/221410 weeks
233-.02907 -.15321 (233*2π)/221410 weeks
234.19447 .42706 (234*2π)/22149 weeks
235-.41697 -.08501 (235*2π)/22149 weeks
236-.07297 .03294 (236*2π)/22149 weeks
237-.02304 -.27758 (237*2π)/22149 weeks
238-.01735 .04114 (238*2π)/22149 weeks
239.29573 -.03745 (239*2π)/22149 weeks
240-.74168 .28688 (240*2π)/22149 weeks
241.48887 -.52149 (241*2π)/22149 weeks
242-.09139 .55584 (242*2π)/22149 weeks
243-.12802 -.13277 (243*2π)/22149 weeks
244-.08659 .18604 (244*2π)/22149 weeks
245.11509 -.22094 (245*2π)/22149 weeks
246-.37604 -.19719 (246*2π)/22149 weeks
247.41595 .22477 (247*2π)/22149 weeks
248-.14202 -.10981 (248*2π)/22149 weeks
249-.02406 .13363 (249*2π)/22149 weeks
250-.0609 -.1186 (250*2π)/22149 weeks
251.1608 -.11404 (251*2π)/22149 weeks
252-.16803 -.27689 (252*2π)/22149 weeks
253.45319 .32134 (253*2π)/22149 weeks
254-.08458 -.02158 (254*2π)/22149 weeks
255-.06331 .33344 (255*2π)/22149 weeks
256.18584