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Fourier Analysis of APAM (Artisan Partners Asset Management Inc)


APAM (Artisan Partners Asset Management Inc) appears to have interesting cyclic behaviour every 25 weeks (.8842*sine), 19 weeks (.8252*sine), and 20 weeks (.7023*cosine).

APAM (Artisan Partners Asset Management Inc) has an average price of 34.35 (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 3/7/2013 to 11/6/2017 for APAM (Artisan Partners Asset Management Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
034.3477   0 
1-.36949 9.52134 (1*2π)/245245 weeks
2-.99918 .49638 (2*2π)/245123 weeks
3-1.87342 -.65184 (3*2π)/24582 weeks
4.43084 -1.06984 (4*2π)/24561 weeks
5.00323 -.40101 (5*2π)/24549 weeks
6.69936 .15683 (6*2π)/24541 weeks
7-.49427 -.30154 (7*2π)/24535 weeks
8-.9347 -.1868 (8*2π)/24531 weeks
9-.51138 -.05351 (9*2π)/24527 weeks
10.38987 -.88418 (10*2π)/24525 weeks
11-.43652 -.37598 (11*2π)/24522 weeks
12.70228 -.54605 (12*2π)/24520 weeks
13-.01858 -.82517 (13*2π)/24519 weeks
14.32259 .04477 (14*2π)/24518 weeks
15.12054 -.59119 (15*2π)/24516 weeks
16.18396 -.20463 (16*2π)/24515 weeks
17-.06877 -.41149 (17*2π)/24514 weeks
18.02105 -.24293 (18*2π)/24514 weeks
19.25701 -.09055 (19*2π)/24513 weeks
20-.22493 -.04901 (20*2π)/24512 weeks
21-.16891 -.58351 (21*2π)/24512 weeks
22.1139 -.3212 (22*2π)/24511 weeks
23.12798 .21938 (23*2π)/24511 weeks
24-.21567 .20097 (24*2π)/24510 weeks
25.03491 .02756 (25*2π)/24510 weeks
26.03467 -.34479 (26*2π)/2459 weeks
27.02386 -.19462 (27*2π)/2459 weeks
28-.02669 .12457 (28*2π)/2459 weeks
29.0245 .30399 (29*2π)/2458 weeks
30-.22028 -.06537 (30*2π)/2458 weeks
31-.24155 -.2559 (31*2π)/2458 weeks
32-.09204 -.14105 (32*2π)/2458 weeks
33.25136 -.16037 (33*2π)/2457 weeks
34-.17826 -.07281 (34*2π)/2457 weeks
35-.03829 -.02466 (35*2π)/2457 weeks
36-.13103 -.0716 (36*2π)/2457 weeks
37-.17158 -.0238 (37*2π)/2457 weeks
38-.07359 -.01443 (38*2π)/2456 weeks
39.10939 .12551 (39*2π)/2456 weeks
40-.38865 -.12713 (40*2π)/2456 weeks
41-.14183 .00521 (41*2π)/2456 weeks
42-.00406 -.12175 (42*2π)/2456 weeks
43.04695 -.1906 (43*2π)/2456 weeks
44.11203 -.10144 (44*2π)/2456 weeks
45.06954 -.2123 (45*2π)/2455 weeks
46-.22051 -.13136 (46*2π)/2455 weeks
47-.03352 -.07287 (47*2π)/2455 weeks
48.02379 -.30714 (48*2π)/2455 weeks
49.17652 -.14986 (49*2π)/2455 weeks
50.17197 .13593 (50*2π)/2455 weeks
51-.15071 -.05371 (51*2π)/2455 weeks
52.11153 -.037 (52*2π)/2455 weeks
53-.07127 -.10424 (53*2π)/2455 weeks
54.03515 .04083 (54*2π)/2455 weeks
55.02084 .0999 (55*2π)/2454 weeks
56-.29802 .05491 (56*2π)/2454 weeks
57.11694 -.0624 (57*2π)/2454 weeks
58-.06487 -.0042 (58*2π)/2454 weeks
59-.32641 .12154 (59*2π)/2454 weeks
60.04436 -.1248 (60*2π)/2454 weeks
61-.1479 -.18694 (61*2π)/2454 weeks
62.14579 -.02088 (62*2π)/2454 weeks
63-.08087 -.20438 (63*2π)/2454 weeks
64-.06209 -.09647 (64*2π)/2454 weeks
65.07933 -.13247 (65*2π)/2454 weeks
66-.00966 -.02202 (66*2π)/2454 weeks
67.00398 -.03772 (67*2π)/2454 weeks
68-.0982 -.09588 (68*2π)/2454 weeks
69.08381 -.10879 (69*2π)/2454 weeks
70.01808 -.0125 (70*2π)/2454 weeks
71-.03797 -.03459 (71*2π)/2453 weeks
72.02493 -.03595 (72*2π)/2453 weeks
73-.11636 .1007 (73*2π)/2453 weeks
74-.0476 -.05128 (74*2π)/2453 weeks
75.02664 -.0475 (75*2π)/2453 weeks
76-.05071 .02083 (76*2π)/2453 weeks
77-.18219 -.0765 (77*2π)/2453 weeks
78-.06807 -.07218 (78*2π)/2453 weeks
79-.09007 -.02065 (79*2π)/2453 weeks
80-.06157 -.0842 (80*2π)/2453 weeks
81.05729 -.1375 (81*2π)/2453 weeks
82-.1226 .02159 (82*2π)/2453 weeks
83.01155 -.0045 (83*2π)/2453 weeks
84.05239 .07339 (84*2π)/2453 weeks
85-.08324 -.03031 (85*2π)/2453 weeks
86.00282 -.06246 (86*2π)/2453 weeks
87-.0835 -.06439 (87*2π)/2453 weeks
88.00971 -.08451 (88*2π)/2453 weeks
89.10133 .00525 (89*2π)/2453 weeks
90.06145 .0667 (90*2π)/2453 weeks
91-.16956 .06595 (91*2π)/2453 weeks
92-.03533 -.09209 (92*2π)/2453 weeks
93-.02965 -.05607 (93*2π)/2453 weeks
94-.04757 -.05999 (94*2π)/2453 weeks
95.09707 .03538 (95*2π)/2453 weeks
96-.04479 .01473 (96*2π)/2453 weeks
97-.03144 .00489 (97*2π)/2453 weeks
98-.00444 .04155 (98*2π)/2453 weeks
99-.08299 -.06563 (99*2π)/2452 weeks
100-.04084 -.01363 (100*2π)/2452 weeks
101-.04906 .0316 (101*2π)/2452 weeks
102.03365 .05114 (102*2π)/2452 weeks
103-.07262 .08908 (103*2π)/2452 weeks
104-.01822 .02343 (104*2π)/2452 weeks
105-.02111 -.02411 (105*2π)/2452 weeks
106.03983 .14008 (106*2π)/2452 weeks
107-.2132 .02921 (107*2π)/2452 weeks
108-.09567 -.06902 (108*2π)/2452 weeks
109-.01072 -.07984 (109*2π)/2452 weeks
110.15727 .07618 (110*2π)/2452 weeks
111-.08189 -.00723 (111*2π)/2452 weeks
112-.12408 -.02386 (112*2π)/2452 weeks
113.0855 -.09515 (113*2π)/2452 weeks
114.00176 .03908 (114*2π)/2452 weeks
115-.06142 .02575 (115*2π)/2452 weeks
116-.0207 -.03457 (116*2π)/2452 weeks
117-.09819 -.00184 (117*2π)/2452 weeks
118.04804 .03947 (118*2π)/2452 weeks
119-.06413 -.03059 (119*2π)/2452 weeks
120.00453 .06554 (120*2π)/2452 weeks
121-.02323 -.08112 (121*2π)/2452 weeks
122-.0701 .00316 (122*2π)/2452 weeks
123-.0701 -.00316 (123*2π)/2452 weeks
124-.02323 .08112 (124*2π)/2452 weeks
125.00453 -.06554 (125*2π)/2452 weeks
126-.06413 .03059 (126*2π)/2452 weeks
127.04804 -.03947 (127*2π)/2452 weeks
128-.09819 .00184 (128*2π)/2452 weeks
129-.0207 .03457 (129*2π)/2452 weeks
130-.06142 -.02575 (130*2π)/2452 weeks
131.00176 -.03908 (131*2π)/2452 weeks
132.0855 .09515 (132*2π)/2452 weeks
133-.12408 .02386 (133*2π)/2452 weeks
134-.08189 .00723 (134*2π)/2452 weeks
135.15727 -.07618 (135*2π)/2452 weeks
136-.01072 .07984 (136*2π)/2452 weeks
137-.09567 .06902 (137*2π)/2452 weeks
138-.2132 -.02921 (138*2π)/2452 weeks
139.03983 -.14008 (139*2π)/2452 weeks
140-.02111 .02411 (140*2π)/2452 weeks
141-.01822 -.02343 (141*2π)/2452 weeks
142-.07262 -.08908 (142*2π)/2452 weeks
143.03365 -.05114 (143*2π)/2452 weeks
144-.04906 -.0316 (144*2π)/2452 weeks
145-.04084 .01363 (145*2π)/2452 weeks
146-.08299 .06563 (146*2π)/2452 weeks
147-.00444 -.04155 (147*2π)/2452 weeks
148-.03144 -.00489 (148*2π)/2452 weeks
149-.04479 -.01473 (149*2π)/2452 weeks
150.09707 -.03538 (150*2π)/2452 weeks
151-.04757 .05999 (151*2π)/2452 weeks
152-.02965 .05607 (152*2π)/2452 weeks
153-.03533 .09209 (153*2π)/2452 weeks
154-.16956 -.06595 (154*2π)/2452 weeks
155.06145 -.0667 (155*2π)/2452 weeks
156.10133 -.00525 (156*2π)/2452 weeks
157.00971 .08451 (157*2π)/2452 weeks
158-.0835 .06439 (158*2π)/2452 weeks
159.00282 .06246 (159*2π)/2452 weeks
160-.08324 .03031 (160*2π)/2452 weeks
161.05239 -.07339 (161*2π)/2452 weeks
162.01155 .0045 (162*2π)/2452 weeks
163-.1226 -.02159 (163*2π)/2452 weeks
164.05729 .1375 (164*2π)/2451 weeks
165-.06157 .0842 (165*2π)/2451 weeks
166-.09007 .02065 (166*2π)/2451 weeks
167-.06807 .07218 (167*2π)/2451 weeks
168-.18219 .0765 (168*2π)/2451 weeks
169-.05071 -.02083 (169*2π)/2451 weeks
170.02664 .0475 (170*2π)/2451 weeks
171-.0476 .05128 (171*2π)/2451 weeks
172-.11636 -.1007 (172*2π)/2451 weeks
173.02493 .03595 (173*2π)/2451 weeks
174-.03797 .03459 (174*2π)/2451 weeks
175.01808 .0125 (175*2π)/2451 weeks
176.08381 .10879 (176*2π)/2451 weeks
177-.0982 .09588 (177*2π)/2451 weeks
178.00398 .03772 (178*2π)/2451 weeks
179-.00966 .02202 (179*2π)/2451 weeks
180.07933 .13247 (180*2π)/2451 weeks
181-.06209 .09647 (181*2π)/2451 weeks
182-.08087 .20438 (182*2π)/2451 weeks
183.14579 .02088 (183*2π)/2451 weeks
184-.1479 .18694 (184*2π)/2451 weeks
185.04436 .1248 (185*2π)/2451 weeks
186-.32641 -.12154 (186*2π)/2451 weeks
187-.06487 .0042 (187*2π)/2451 weeks
188.11694 .0624 (188*2π)/2451 weeks
189-.29802 -.05491 (189*2π)/2451 weeks
190.02084 -.0999 (190*2π)/2451 weeks
191.03515 -.04083 (191*2π)/2451 weeks
192-.07127 .10424 (192*2π)/2451 weeks
193.11153 .037 (193*2π)/2451 weeks
194-.15071 .05371 (194*2π)/2451 weeks
195.17197 -.13593 (195*2π)/2451 weeks
196.17652 .14986 (196*2π)/2451 weeks
197.02379 .30714 (197*2π)/2451 weeks
198-.03352 .07287 (198*2π)/2451 weeks
199-.22051 .13136 (199*2π)/2451 weeks
200.06954 .2123 (200*2π)/2451 weeks
201.11203 .10144 (201*2π)/2451 weeks
202.04695 .1906 (202*2π)/2451 weeks
203-.00406 .12175 (203*2π)/2451 weeks
204-.14183 -.00521 (204*2π)/2451 weeks
205-.38865 .12713 (205*2π)/2451 weeks
206.10939 -.12551 (206*2π)/2451 weeks
207-.07359 .01443 (207*2π)/2451 weeks
208-.17158 .0238 (208*2π)/2451 weeks
209-.13103 .0716 (209*2π)/2451 weeks
210-.03829 .02466 (210*2π)/2451 weeks
211-.17826 .07281 (211*2π)/2451 weeks
212.25136 .16037 (212*2π)/2451 weeks
213-.09204 .14105 (213*2π)/2451 weeks
214-.24155 .2559 (214*2π)/2451 weeks
215-.22028 .06537 (215*2π)/2451 weeks
216.0245 -.30399 (216*2π)/2451 weeks
217-.02669 -.12457 (217*2π)/2451 weeks
218.02386 .19462 (218*2π)/2451 weeks
219.03467 .34479 (219*2π)/2451 weeks
220.03491 -.02756 (220*2π)/2451 weeks
221-.21567 -.20097 (221*2π)/2451 weeks
222.12798 -.21938 (222*2π)/2451 weeks
223.1139 .3212 (223*2π)/2451 weeks
224-.16891 .58351 (224*2π)/2451 weeks
225-.22493 .04901 (225*2π)/2451 weeks
226.25701 .09055 (226*2π)/2451 weeks
227.02105 .24293 (227*2π)/2451 weeks
228-.06877 .41149 (228*2π)/2451 weeks
229.18396 .20463 (229*2π)/2451 weeks
230.12054 .59119 (230*2π)/2451 weeks
231.32259 -.04477 (231*2π)/2451 weeks
232-.01858 .82517 (232*2π)/2451 weeks
233.70228 .54605 (233*2π)/2451 weeks
234-.43652 .37598 (234*2π)/2451 weeks
235.38987 .88418 (235*2π)/2451 weeks
236-.51138 .05351 (236*2π)/2451 weeks
237-.9347 .1868 (237*2π)/2451 weeks
238-.49427 .30154 (238*2π)/2451 weeks
239.69936 -.15683 (239*2π)/2451 weeks
240.00323 .40101 (240*2π)/2451 weeks
241.43084 1.06984 (241*2π)/2451 weeks
242-1.87342 .65184 (242*2π)/2451 weeks
243-.99918 -.49638 (243*2π)/2451 weeks



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