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# Fourier Analysis of PETX (Aratana Therapeutics)

PETX (Aratana Therapeutics) appears to have interesting cyclic behaviour every 19 weeks (1.0267*sine), 18 weeks (.7025*cosine), and 16 weeks (.5096*cosine).

PETX (Aratana Therapeutics) has an average price of 10.55 (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.

## Fourier Analysis

Using data from 6/27/2013 to 4/16/2018 for PETX (Aratana Therapeutics), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
010.55051   0
1.45014 5.44666 (1*2π)/252252 weeks
2-.78339 .88148 (2*2π)/252126 weeks
3.35165 3.49502 (3*2π)/25284 weeks
4-2.44491 .14196 (4*2π)/25263 weeks
5-.87753 .71647 (5*2π)/25250 weeks
6-.44014 -.34422 (6*2π)/25242 weeks
7-.16312 .65469 (7*2π)/25236 weeks
8-.95517 -.56784 (8*2π)/25232 weeks
9.61338 -.01175 (9*2π)/25228 weeks
10-.54436 .38548 (10*2π)/25225 weeks
11-.11469 -.3296 (11*2π)/25223 weeks
12.11988 -.2782 (12*2π)/25221 weeks
13.16024 -1.02666 (13*2π)/25219 weeks
14.70251 .1484 (14*2π)/25218 weeks
15.46637 -.11156 (15*2π)/25217 weeks
16.50958 .55079 (16*2π)/25216 weeks
17.0034 .33254 (17*2π)/25215 weeks
18.06785 .38824 (18*2π)/25214 weeks
19.12668 .00939 (19*2π)/25213 weeks
20.23877 .43972 (20*2π)/25213 weeks
21-.29275 .20834 (21*2π)/25212 weeks
22-.07584 .15665 (22*2π)/25211 weeks
23-.13864 .23914 (23*2π)/25211 weeks
24-.08831 .03692 (24*2π)/25211 weeks
25-.08631 .05541 (25*2π)/25210 weeks
26-.10093 -.0193 (26*2π)/25210 weeks
27-.45522 -.05456 (27*2π)/2529 weeks
28.02721 -.26768 (28*2π)/2529 weeks
29.08239 .07474 (29*2π)/2529 weeks
30-.05356 -.0489 (30*2π)/2528 weeks
31.20797 .00294 (31*2π)/2528 weeks
32-.00023 -.07997 (32*2π)/2528 weeks
33.16798 .21099 (33*2π)/2528 weeks
34-.06715 -.1041 (34*2π)/2527 weeks
35.24121 .09496 (35*2π)/2527 weeks
36-.30925 .02044 (36*2π)/2527 weeks
37.15995 -.10488 (37*2π)/2527 weeks
38.00142 .25958 (38*2π)/2527 weeks
39-.09721 -.02381 (39*2π)/2526 weeks
40-.08715 .10305 (40*2π)/2526 weeks
41-.14002 -.09496 (41*2π)/2526 weeks
42-.00485 -.02638 (42*2π)/2526 weeks
43.06977 -.08854 (43*2π)/2526 weeks
44-.01636 -.1194 (44*2π)/2526 weeks
45.11249 -.02796 (45*2π)/2526 weeks
46.17398 -.05332 (46*2π)/2525 weeks
47.03505 .04132 (47*2π)/2525 weeks
48.1208 .03498 (48*2π)/2525 weeks
49-.05421 .12821 (49*2π)/2525 weeks
50.01005 .12606 (50*2π)/2525 weeks
51.01925 .07066 (51*2π)/2525 weeks
52.02822 .13207 (52*2π)/2525 weeks
53-.15158 .21284 (53*2π)/2525 weeks
54-.0579 .00995 (54*2π)/2525 weeks
55-.19158 .01309 (55*2π)/2525 weeks
56-.01527 -.21358 (56*2π)/2525 weeks
57.02467 -.03147 (57*2π)/2524 weeks
58-.00185 -.01595 (58*2π)/2524 weeks
59.05959 .09563 (59*2π)/2524 weeks
60-.18944 .00445 (60*2π)/2524 weeks
61-.01615 -.18803 (61*2π)/2524 weeks
62.00349 -.0198 (62*2π)/2524 weeks
63.13786 -.11078 (63*2π)/2524 weeks
64.14571 .03002 (64*2π)/2524 weeks
65.1562 -.04029 (65*2π)/2524 weeks
66.0667 .20689 (66*2π)/2524 weeks
67.05308 .07038 (67*2π)/2524 weeks
68-.03478 .12994 (68*2π)/2524 weeks
69-.12446 -.06144 (69*2π)/2524 weeks
70.04093 .06696 (70*2π)/2524 weeks
71-.03272 -.07321 (71*2π)/2524 weeks
72.11534 .05624 (72*2π)/2524 weeks
73-.129 .07074 (73*2π)/2523 weeks
74.00182 -.00574 (74*2π)/2523 weeks
75-.04102 -.04778 (75*2π)/2523 weeks
76.04167 -.01602 (76*2π)/2523 weeks
77.01872 -.00011 (77*2π)/2523 weeks
78.09165 -.01485 (78*2π)/2523 weeks
79.01981 .07858 (79*2π)/2523 weeks
80.0785 -.02477 (80*2π)/2523 weeks
81.05313 .11124 (81*2π)/2523 weeks
82-.0282 .006 (82*2π)/2523 weeks
83-.07005 .04123 (83*2π)/2523 weeks
84-.04039 -.09154 (84*2π)/2523 weeks
85.03103 .01205 (85*2π)/2523 weeks
86-.02041 -.0152 (86*2π)/2523 weeks
87.05483 -.04965 (87*2π)/2523 weeks
88-.0534 .01007 (88*2π)/2523 weeks
89.07997 -.00649 (89*2π)/2523 weeks
90.0129 .03327 (90*2π)/2523 weeks
91.04004 -.03203 (91*2π)/2523 weeks
92.00376 .01602 (92*2π)/2523 weeks
93.0578 -.01892 (93*2π)/2523 weeks
94.07801 .02071 (94*2π)/2523 weeks
95.04641 .00292 (95*2π)/2523 weeks
96.06558 .12567 (96*2π)/2523 weeks
97-.06487 .0676 (97*2π)/2523 weeks
98.0362 .08373 (98*2π)/2523 weeks
99-.07144 .08551 (99*2π)/2523 weeks
100-.01073 -.01387 (100*2π)/2523 weeks
101-.06913 .09904 (101*2π)/2522 weeks
102-.05169 -.01154 (102*2π)/2522 weeks
103-.02025 -.07609 (103*2π)/2522 weeks
104.07895 -.04627 (104*2π)/2522 weeks
105.00227 .07802 (105*2π)/2522 weeks
106-.01264 -.05807 (106*2π)/2522 weeks
107-.03753 .00888 (107*2π)/2522 weeks
108-.00577 -.05244 (108*2π)/2522 weeks
109.04798 .06742 (109*2π)/2522 weeks
110-.04344 .03703 (110*2π)/2522 weeks
111-.0155 -.00016 (111*2π)/2522 weeks
112-.02493 -.00921 (112*2π)/2522 weeks
113.03474 -.02785 (113*2π)/2522 weeks
114-.00367 -.02909 (114*2π)/2522 weeks
115.08955 .04268 (115*2π)/2522 weeks
116-.05298 .04131 (116*2π)/2522 weeks
117-.02298 -.04913 (117*2π)/2522 weeks
118.00641 .0258 (118*2π)/2522 weeks
119.06783 -.01452 (119*2π)/2522 weeks
120.01356 .06109 (120*2π)/2522 weeks
121-.06364 .01815 (121*2π)/2522 weeks
122.00589 .04656 (122*2π)/2522 weeks
123-.07777 -.02665 (123*2π)/2522 weeks
124.02601 -.02515 (124*2π)/2522 weeks
125-.00908 .01258 (125*2π)/2522 weeks
126.00041   (126*2π)/2522 weeks
127-.00908 -.01258 (127*2π)/2522 weeks
128.02601 .02515 (128*2π)/2522 weeks
129-.07777 .02665 (129*2π)/2522 weeks
130.00589 -.04656 (130*2π)/2522 weeks
131-.06364 -.01815 (131*2π)/2522 weeks
132.01356 -.06109 (132*2π)/2522 weeks
133.06783 .01452 (133*2π)/2522 weeks
134.00641 -.0258 (134*2π)/2522 weeks
135-.02298 .04913 (135*2π)/2522 weeks
136-.05298 -.04131 (136*2π)/2522 weeks
137.08955 -.04268 (137*2π)/2522 weeks
138-.00367 .02909 (138*2π)/2522 weeks
139.03474 .02785 (139*2π)/2522 weeks
140-.02493 .00921 (140*2π)/2522 weeks
141-.0155 .00016 (141*2π)/2522 weeks
142-.04344 -.03703 (142*2π)/2522 weeks
143.04798 -.06742 (143*2π)/2522 weeks
144-.00577 .05244 (144*2π)/2522 weeks
145-.03753 -.00888 (145*2π)/2522 weeks
146-.01264 .05807 (146*2π)/2522 weeks
147.00227 -.07802 (147*2π)/2522 weeks
148.07895 .04627 (148*2π)/2522 weeks
149-.02025 .07609 (149*2π)/2522 weeks
150-.05169 .01154 (150*2π)/2522 weeks
151-.06913 -.09904 (151*2π)/2522 weeks
152-.01073 .01387 (152*2π)/2522 weeks
153-.07144 -.08551 (153*2π)/2522 weeks
154.0362 -.08373 (154*2π)/2522 weeks
155-.06487 -.0676 (155*2π)/2522 weeks
156.06558 -.12567 (156*2π)/2522 weeks
157.04641 -.00292 (157*2π)/2522 weeks
158.07801 -.02071 (158*2π)/2522 weeks
159.0578 .01892 (159*2π)/2522 weeks
160.00376 -.01602 (160*2π)/2522 weeks
161.04004 .03203 (161*2π)/2522 weeks
162.0129 -.03327 (162*2π)/2522 weeks
163.07997 .00649 (163*2π)/2522 weeks
164-.0534 -.01007 (164*2π)/2522 weeks
165.05483 .04965 (165*2π)/2522 weeks
166-.02041 .0152 (166*2π)/2522 weeks
167.03103 -.01205 (167*2π)/2522 weeks
168-.04039 .09154 (168*2π)/2522 weeks
169-.07005 -.04123 (169*2π)/2521 weeks
170-.0282 -.006 (170*2π)/2521 weeks
171.05313 -.11124 (171*2π)/2521 weeks
172.0785 .02477 (172*2π)/2521 weeks
173.01981 -.07858 (173*2π)/2521 weeks
174.09165 .01485 (174*2π)/2521 weeks
175.01872 .00011 (175*2π)/2521 weeks
176.04167 .01602 (176*2π)/2521 weeks
177-.04102 .04778 (177*2π)/2521 weeks
178.00182 .00574 (178*2π)/2521 weeks
179-.129 -.07074 (179*2π)/2521 weeks
180.11534 -.05624 (180*2π)/2521 weeks
181-.03272 .07321 (181*2π)/2521 weeks
182.04093 -.06696 (182*2π)/2521 weeks
183-.12446 .06144 (183*2π)/2521 weeks
184-.03478 -.12994 (184*2π)/2521 weeks
185.05308 -.07038 (185*2π)/2521 weeks
186.0667 -.20689 (186*2π)/2521 weeks
187.1562 .04029 (187*2π)/2521 weeks
188.14571 -.03002 (188*2π)/2521 weeks
189.13786 .11078 (189*2π)/2521 weeks
190.00349 .0198 (190*2π)/2521 weeks
191-.01615 .18803 (191*2π)/2521 weeks
192-.18944 -.00445 (192*2π)/2521 weeks
193.05959 -.09563 (193*2π)/2521 weeks
194-.00185 .01595 (194*2π)/2521 weeks
195.02467 .03147 (195*2π)/2521 weeks
196-.01527 .21358 (196*2π)/2521 weeks
197-.19158 -.01309 (197*2π)/2521 weeks
198-.0579 -.00995 (198*2π)/2521 weeks
199-.15158 -.21284 (199*2π)/2521 weeks
200.02822 -.13207 (200*2π)/2521 weeks
201.01925 -.07066 (201*2π)/2521 weeks
202.01005 -.12606 (202*2π)/2521 weeks
203-.05421 -.12821 (203*2π)/2521 weeks
204.1208 -.03498 (204*2π)/2521 weeks
205.03505 -.04132 (205*2π)/2521 weeks
206.17398 .05332 (206*2π)/2521 weeks
207.11249 .02796 (207*2π)/2521 weeks
208-.01636 .1194 (208*2π)/2521 weeks
209.06977 .08854 (209*2π)/2521 weeks
210-.00485 .02638 (210*2π)/2521 weeks
211-.14002 .09496 (211*2π)/2521 weeks
212-.08715 -.10305 (212*2π)/2521 weeks
213-.09721 .02381 (213*2π)/2521 weeks
214.00142 -.25958 (214*2π)/2521 weeks
215.15995 .10488 (215*2π)/2521 weeks
216-.30925 -.02044 (216*2π)/2521 weeks
217.24121 -.09496 (217*2π)/2521 weeks
218-.06715 .1041 (218*2π)/2521 weeks
219.16798 -.21099 (219*2π)/2521 weeks
220-.00023 .07997 (220*2π)/2521 weeks
221.20797 -.00294 (221*2π)/2521 weeks
222-.05356 .0489 (222*2π)/2521 weeks
223.08239 -.07474 (223*2π)/2521 weeks
224.02721 .26768 (224*2π)/2521 weeks
225-.45522 .05456 (225*2π)/2521 weeks
226-.10093 .0193 (226*2π)/2521 weeks
227-.08631 -.05541 (227*2π)/2521 weeks
228-.08831 -.03692 (228*2π)/2521 weeks
229-.13864 -.23914 (229*2π)/2521 weeks
230-.07584 -.15665 (230*2π)/2521 weeks
231-.29275 -.20834 (231*2π)/2521 weeks
232.23877 -.43972 (232*2π)/2521 weeks
233.12668 -.00939 (233*2π)/2521 weeks
234.06785 -.38824 (234*2π)/2521 weeks
235.0034 -.33254 (235*2π)/2521 weeks
236.50958 -.55079 (236*2π)/2521 weeks
237.46637 .11156 (237*2π)/2521 weeks
238.70251 -.1484 (238*2π)/2521 weeks
239.16024 1.02666 (239*2π)/2521 weeks
240.11988 .2782 (240*2π)/2521 weeks
241-.11469 .3296 (241*2π)/2521 weeks
242-.54436 -.38548 (242*2π)/2521 weeks
243.61338 .01175 (243*2π)/2521 weeks
244-.95517 .56784 (244*2π)/2521 weeks
245-.16312 -.65469 (245*2π)/2521 weeks
246-.44014 .34422 (246*2π)/2521 weeks
247-.87753 -.71647 (247*2π)/2521 weeks
248-2.44491 -.14196 (248*2π)/2521 weeks
249.35165 -3.49502 (249*2π)/2521 weeks
250-.78339 -.88148 (250*2π)/2521 weeks