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Fourier Analysis of CURE (DIREXION DAILY HEALTHCARE BULL 3X SHARES DIREXION DAILY HEALTHCARE BULL 3X SHARES)


CURE (DIREXION DAILY HEALTHCARE BULL 3X SHARES DIREXION DAILY HEALTHCARE BULL 3X SHARES) appears to have interesting cyclic behaviour every 30 weeks (1.7482*sine), 28 weeks (1.3231*sine), and 34 weeks (1.271*sine).

CURE (DIREXION DAILY HEALTHCARE BULL 3X SHARES DIREXION DAILY HEALTHCARE BULL 3X SHARES) has an average price of 22.12 (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.

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Fourier Analysis

Using data from 6/15/2011 to 11/6/2017 for CURE (DIREXION DAILY HEALTHCARE BULL 3X SHARES DIREXION DAILY HEALTHCARE BULL 3X SHARES), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
022.12135   0 
1-3.11921 -14.65604 (1*2π)/335335 weeks
23.12038 -3.16185 (2*2π)/335168 weeks
31.65432 -5.96667 (3*2π)/335112 weeks
4-.50254 -2.55075 (4*2π)/33584 weeks
51.61899 -3.03839 (5*2π)/33567 weeks
6-.20543 -3.61758 (6*2π)/33556 weeks
7-.62207 -2.09066 (7*2π)/33548 weeks
8-.24151 -1.16604 (8*2π)/33542 weeks
9.01213 -1.41229 (9*2π)/33537 weeks
10.61804 -1.27105 (10*2π)/33534 weeks
11.13576 -1.74824 (11*2π)/33530 weeks
12-.70936 -1.32315 (12*2π)/33528 weeks
13-.09891 -.63888 (13*2π)/33526 weeks
14-.12879 -1.27994 (14*2π)/33524 weeks
15-.31712 -.49951 (15*2π)/33522 weeks
16.26091 -.59679 (16*2π)/33521 weeks
17.26364 -1.1106 (17*2π)/33520 weeks
18-.55055 -.92134 (18*2π)/33519 weeks
19.18959 -.27599 (19*2π)/33518 weeks
20.16554 -1.1094 (20*2π)/33517 weeks
21-.32018 -.92785 (21*2π)/33516 weeks
22-.27206 -.57427 (22*2π)/33515 weeks
23-.4603 -.77884 (23*2π)/33515 weeks
24-.0884 -.40343 (24*2π)/33514 weeks
25-.40837 -.45545 (25*2π)/33513 weeks
26-.21597 -.34147 (26*2π)/33513 weeks
27-.35488 -.36223 (27*2π)/33512 weeks
28.01648 -.30127 (28*2π)/33512 weeks
29-.29014 -.48795 (29*2π)/33512 weeks
30-.07699 -.33755 (30*2π)/33511 weeks
31-.1719 -.45516 (31*2π)/33511 weeks
32-.34734 -.26666 (32*2π)/33510 weeks
33-.20489 -.15135 (33*2π)/33510 weeks
34.1302 -.12021 (34*2π)/33510 weeks
35-.08573 -.47663 (35*2π)/33510 weeks
36-.03091 -.2306 (36*2π)/3359 weeks
37-.10248 -.39923 (37*2π)/3359 weeks
38-.09302 -.22164 (38*2π)/3359 weeks
39-.09282 -.47123 (39*2π)/3359 weeks
40-.00704 -.27516 (40*2π)/3358 weeks
41-.26522 -.4135 (41*2π)/3358 weeks
42-.27861 -.43161 (42*2π)/3358 weeks
43-.26653 -.12922 (43*2π)/3358 weeks
44-.07233 -.08644 (44*2π)/3358 weeks
45.06588 -.41589 (45*2π)/3357 weeks
46-.20932 -.39696 (46*2π)/3357 weeks
47-.24233 -.31042 (47*2π)/3357 weeks
48-.1303 -.30904 (48*2π)/3357 weeks
49-.24865 -.32146 (49*2π)/3357 weeks
50-.21345 -.21459 (50*2π)/3357 weeks
51-.24804 -.20811 (51*2π)/3357 weeks
52-.11886 -.17098 (52*2π)/3356 weeks
53-.08936 -.16788 (53*2π)/3356 weeks
54-.27437 -.31444 (54*2π)/3356 weeks
55-.29924 -.10443 (55*2π)/3356 weeks
56-.18245 .05566 (56*2π)/3356 weeks
57.06029 -.18234 (57*2π)/3356 weeks
58-.18175 -.10829 (58*2π)/3356 weeks
59-.09448 -.14744 (59*2π)/3356 weeks
60-.16547 -.13606 (60*2π)/3356 weeks
61-.0019 .03923 (61*2π)/3355 weeks
62-.03188 -.27851 (62*2π)/3355 weeks
63-.07028 -.15204 (63*2π)/3355 weeks
64-.15714 -.14334 (64*2π)/3355 weeks
65.05979 -.10879 (65*2π)/3355 weeks
66-.15609 -.29389 (66*2π)/3355 weeks
67-.09226 -.01288 (67*2π)/3355 weeks
68-.02782 -.24898 (68*2π)/3355 weeks
69-.19087 -.12038 (69*2π)/3355 weeks
70-.03478 -.1198 (70*2π)/3355 weeks
71-.04808 -.13518 (71*2π)/3355 weeks
72-.03484 -.24529 (72*2π)/3355 weeks
73-.29038 -.21919 (73*2π)/3355 weeks
74-.03467 -.03586 (74*2π)/3355 weeks
75-.05892 -.15561 (75*2π)/3354 weeks
76-.19885 -.22588 (76*2π)/3354 weeks
77-.0991 -.00861 (77*2π)/3354 weeks
78-.08405 -.24365 (78*2π)/3354 weeks
79-.18415 -.05584 (79*2π)/3354 weeks
80-.09052 -.22432 (80*2π)/3354 weeks
81-.23524 .02536 (81*2π)/3354 weeks
82.10351 -.07412 (82*2π)/3354 weeks
83-.17143 -.21685 (83*2π)/3354 weeks
84-.04961 -.04273 (84*2π)/3354 weeks
85-.01221 -.24145 (85*2π)/3354 weeks
86-.25104 -.26239 (86*2π)/3354 weeks
87-.27761 -.11255 (87*2π)/3354 weeks
88-.15199 .05822 (88*2π)/3354 weeks
89-.07311 -.18194 (89*2π)/3354 weeks
90-.20798 -.04475 (90*2π)/3354 weeks
91-.08303 -.04694 (91*2π)/3354 weeks
92-.12957 -.12485 (92*2π)/3354 weeks
93-.17794 -.07832 (93*2π)/3354 weeks
94-.06522 .00495 (94*2π)/3354 weeks
95-.02283 -.07992 (95*2π)/3354 weeks
96-.11757 -.12447 (96*2π)/3353 weeks
97-.02536 -.08337 (97*2π)/3353 weeks
98-.07648 -.07293 (98*2π)/3353 weeks
99-.01171 -.22276 (99*2π)/3353 weeks
100-.24039 -.10838 (100*2π)/3353 weeks
101-.0791 -.06897 (101*2π)/3353 weeks
102-.15088 -.16466 (102*2π)/3353 weeks
103-.12757 -.04934 (103*2π)/3353 weeks
104-.09833 -.15387 (104*2π)/3353 weeks
105-.24175 -.0712 (105*2π)/3353 weeks
106-.05259 .01513 (106*2π)/3353 weeks
107-.04944 -.15598 (107*2π)/3353 weeks
108-.18683 -.08552 (108*2π)/3353 weeks
109-.10821 -.03447 (109*2π)/3353 weeks
110-.08563 -.08062 (110*2π)/3353 weeks
111-.13655 -.09944 (111*2π)/3353 weeks
112-.10029 .00602 (112*2π)/3353 weeks
113-.02075 -.06964 (113*2π)/3353 weeks
114-.12833 -.12358 (114*2π)/3353 weeks
115-.05021 -.04423 (115*2π)/3353 weeks
116-.13652 -.18605 (116*2π)/3353 weeks
117-.17715 -.06118 (117*2π)/3353 weeks
118-.10938 -.07657 (118*2π)/3353 weeks
119-.16742 -.14002 (119*2π)/3353 weeks
120-.09789 -.0551 (120*2π)/3353 weeks
121-.14219 -.08231 (121*2π)/3353 weeks
122-.11429 -.11302 (122*2π)/3353 weeks
123-.12315 -.07482 (123*2π)/3353 weeks
124-.18135 -.11408 (124*2π)/3353 weeks
125-.21084 .07758 (125*2π)/3353 weeks
126-.00885 -.05658 (126*2π)/3353 weeks
127-.11818 -.04281 (127*2π)/3353 weeks
128-.06356 -.1112 (128*2π)/3353 weeks
129-.23372 -.05555 (129*2π)/3353 weeks
130-.02572 -.01299 (130*2π)/3353 weeks
131-.23296 -.10182 (131*2π)/3353 weeks
132-.11397 .03435 (132*2π)/3353 weeks
133-.0996 -.09249 (133*2π)/3353 weeks
134-.18793 -.04683 (134*2π)/3353 weeks
135-.14358 -.04863 (135*2π)/3352 weeks
136-.19745 -.00769 (136*2π)/3352 weeks
137-.14502 -.00462 (137*2π)/3352 weeks
138-.13074 .07405 (138*2π)/3352 weeks
139-.0571 .00672 (139*2π)/3352 weeks
140-.10117 -.08222 (140*2π)/3352 weeks
141-.18525 .01873 (141*2π)/3352 weeks
142-.08718 -.01375 (142*2π)/3352 weeks
143-.15205 -.01571 (143*2π)/3352 weeks
144-.13662 .06756 (144*2π)/3352 weeks
145.00953 -.01279 (145*2π)/3352 weeks
146-.2035 -.11768 (146*2π)/3352 weeks
147-.16374 .07211 (147*2π)/3352 weeks
148-.03843 -.05309 (148*2π)/3352 weeks
149-.21531 -.02577 (149*2π)/3352 weeks
150-.08395 .10064 (150*2π)/3352 weeks
151-.08602 -.11254 (151*2π)/3352 weeks
152-.14772 .03511 (152*2π)/3352 weeks
153-.12974 -.01492 (153*2π)/3352 weeks
154-.08668 .06167 (154*2π)/3352 weeks
155-.13105 -.02478 (155*2π)/3352 weeks
156-.04745 .064 (156*2π)/3352 weeks
157-.05515 -.03766 (157*2π)/3352 weeks
158-.14097 -.0146 (158*2π)/3352 weeks
159-.03054 .05952 (159*2π)/3352 weeks
160-.11877 -.07606 (160*2π)/3352 weeks
161-.12327 .00727 (161*2π)/3352 weeks
162-.03938 .01511 (162*2π)/3352 weeks
163-.09817 -.00274 (163*2π)/3352 weeks
164-.08242 .00689 (164*2π)/3352 weeks
165-.07125 -.06506 (165*2π)/3352 weeks
166-.21959 -.0434 (166*2π)/3352 weeks
167-.10573 .0544 (167*2π)/3352 weeks
168-.10573 -.0544 (168*2π)/3352 weeks
169-.21959 .0434 (169*2π)/3352 weeks
170-.07125 .06506 (170*2π)/3352 weeks
171-.08242 -.00689 (171*2π)/3352 weeks
172-.09817 .00274 (172*2π)/3352 weeks
173-.03938 -.01511 (173*2π)/3352 weeks
174-.12327 -.00727 (174*2π)/3352 weeks
175-.11877 .07606 (175*2π)/3352 weeks
176-.03054 -.05952 (176*2π)/3352 weeks
177-.14097 .0146 (177*2π)/3352 weeks
178-.05515 .03766 (178*2π)/3352 weeks
179-.04745 -.064 (179*2π)/3352 weeks
180-.13105 .02478 (180*2π)/3352 weeks
181-.08668 -.06167 (181*2π)/3352 weeks
182-.12974 .01492 (182*2π)/3352 weeks
183-.14772 -.03511 (183*2π)/3352 weeks
184-.08602 .11254 (184*2π)/3352 weeks
185-.08395 -.10064 (185*2π)/3352 weeks
186-.21531 .02577 (186*2π)/3352 weeks
187-.03843 .05309 (187*2π)/3352 weeks
188-.16374 -.07211 (188*2π)/3352 weeks
189-.2035 .11768 (189*2π)/3352 weeks
190.00953 .01279 (190*2π)/3352 weeks
191-.13662 -.06756 (191*2π)/3352 weeks
192-.15205 .01571 (192*2π)/3352 weeks
193-.08718 .01375 (193*2π)/3352 weeks
194-.18525 -.01873 (194*2π)/3352 weeks
195-.10117 .08222 (195*2π)/3352 weeks
196-.0571 -.00672 (196*2π)/3352 weeks
197-.13074 -.07405 (197*2π)/3352 weeks
198-.14502 .00462 (198*2π)/3352 weeks
199-.19745 .00769 (199*2π)/3352 weeks
200-.14358 .04863 (200*2π)/3352 weeks
201-.18793 .04683 (201*2π)/3352 weeks
202-.0996 .09249 (202*2π)/3352 weeks
203-.11397 -.03435 (203*2π)/3352 weeks
204-.23296 .10182 (204*2π)/3352 weeks
205-.02572 .01299 (205*2π)/3352 weeks
206-.23372 .05555 (206*2π)/3352 weeks
207-.06356 .1112 (207*2π)/3352 weeks
208-.11818 .04281 (208*2π)/3352 weeks
209-.00885 .05658 (209*2π)/3352 weeks
210-.21084 -.07758 (210*2π)/3352 weeks
211-.18135 .11408 (211*2π)/3352 weeks
212-.12315 .07482 (212*2π)/3352 weeks
213-.11429 .11302 (213*2π)/3352 weeks
214-.14219 .08231 (214*2π)/3352 weeks
215-.09789 .0551 (215*2π)/3352 weeks
216-.16742 .14002 (216*2π)/3352 weeks
217-.10938 .07657 (217*2π)/3352 weeks
218-.17715 .06118 (218*2π)/3352 weeks
219-.13652 .18605 (219*2π)/3352 weeks
220-.05021 .04423 (220*2π)/3352 weeks
221-.12833 .12358 (221*2π)/3352 weeks
222-.02075 .06964 (222*2π)/3352 weeks
223-.10029 -.00602 (223*2π)/3352 weeks
224-.13655 .09944 (224*2π)/3351 weeks
225-.08563 .08062 (225*2π)/3351 weeks
226-.10821 .03447 (226*2π)/3351 weeks
227-.18683 .08552 (227*2π)/3351 weeks
228-.04944 .15598 (228*2π)/3351 weeks
229-.05259 -.01513 (229*2π)/3351 weeks
230-.24175 .0712 (230*2π)/3351 weeks
231-.09833 .15387 (231*2π)/3351 weeks
232-.12757 .04934 (232*2π)/3351 weeks
233-.15088 .16466 (233*2π)/3351 weeks
234-.0791 .06897 (234*2π)/3351 weeks
235-.24039 .10838 (235*2π)/3351 weeks
236-.01171 .22276 (236*2π)/3351 weeks
237-.07648 .07293 (237*2π)/3351 weeks
238-.02536 .08337 (238*2π)/3351 weeks
239-.11757 .12447 (239*2π)/3351 weeks
240-.02283 .07992 (240*2π)/3351 weeks
241-.06522 -.00495 (241*2π)/3351 weeks
242-.17794 .07832 (242*2π)/3351 weeks
243-.12957 .12485 (243*2π)/3351 weeks
244-.08303 .04694 (244*2π)/3351 weeks
245-.20798 .04475 (245*2π)/3351 weeks
246-.07311 .18194 (246*2π)/3351 weeks
247-.15199 -.05822 (247*2π)/3351 weeks
248-.27761 .11255 (248*2π)/3351 weeks
249-.25104 .26239 (249*2π)/3351 weeks
250-.01221 .24145 (250*2π)/3351 weeks
251-.04961 .04273 (251*2π)/3351 weeks
252-.17143 .21685 (252*2π)/3351 weeks
253.10351 .07412 (253*2π)/3351 weeks
254-.23524 -.02536 (254*2π)/3351 weeks
255-.09052 .22432 (255*2π)/3351 weeks
256-.18415 .05584 (256*2π)/3351 weeks
257-.08405 .24365 (257*2π)/3351 weeks
258-.0991 .00861 (258*2π)/3351 weeks
259-.19885 .22588 (259*2π)/3351 weeks
260-.05892 .15561 (260*2π)/3351 weeks
261-.03467 .03586 (261*2π)/3351 weeks
262-.29038 .21919 (262*2π)/3351 weeks
263-.03484 .24529 (263*2π)/3351 weeks
264-.04808 .13518 (264*2π)/3351 weeks
265-.03478 .1198 (265*2π)/3351 weeks
266-.19087 .12038 (266*2π)/3351 weeks
267-.02782 .24898 (267*2π)/3351 weeks
268-.09226 .01288 (268*2π)/3351 weeks
269-.15609 .29389 (269*2π)/3351 weeks
270.05979 .10879 (270*2π)/3351 weeks
271-.15714 .14334 (271*2π)/3351 weeks
272-.07028 .15204 (272*2π)/3351 weeks
273-.03188 .27851 (273*2π)/3351 weeks
274-.0019 -.03923 (274*2π)/3351 weeks
275-.16547 .13606 (275*2π)/3351 weeks
276-.09448 .14744 (276*2π)/3351 weeks
277-.18175 .10829 (277*2π)/3351 weeks
278.06029 .18234 (278*2π)/3351 weeks
279-.18245 -.05566 (279*2π)/3351 weeks
280-.29924 .10443 (280*2π)/3351 weeks
281-.27437 .31444 (281*2π)/3351 weeks
282-.08936 .16788 (282*2π)/3351 weeks
283-.11886 .17098 (283*2π)/3351 weeks
284-.24804 .20811 (284*2π)/3351 weeks
285-.21345 .21459 (285*2π)/3351 weeks
286-.24865 .32146 (286*2π)/3351 weeks
287-.1303 .30904 (287*2π)/3351 weeks
288-.24233 .31042 (288*2π)/3351 weeks
289-.20932 .39696 (289*2π)/3351 weeks
290.06588 .41589 (290*2π)/3351 weeks
291-.07233 .08644 (291*2π)/3351 weeks
292-.26653 .12922 (292*2π)/3351 weeks
293-.27861 .43161 (293*2π)/3351 weeks
294-.26522 .4135 (294*2π)/3351 weeks
295-.00704 .27516 (295*2π)/3351 weeks
296-.09282 .47123 (296*2π)/3351 weeks
297-.09302 .22164 (297*2π)/3351 weeks
298-.10248 .39923 (298*2π)/3351 weeks
299-.03091 .2306 (299*2π)/3351 weeks
300-.08573 .47663 (300*2π)/3351 weeks
301.1302 .12021 (301*2π)/3351 weeks
302-.20489 .15135 (302*2π)/3351 weeks
303-.34734 .26666 (303*2π)/3351 weeks
304-.1719 .45516 (304*2π)/3351 weeks
305-.07699 .33755 (305*2π)/3351 weeks
306-.29014 .48795 (306*2π)/3351 weeks
307.01648 .30127 (307*2π)/3351 weeks
308-.35488 .36223 (308*2π)/3351 weeks
309-.21597 .34147 (309*2π)/3351 weeks
310-.40837 .45545 (310*2π)/3351 weeks
311-.0884 .40343 (311*2π)/3351 weeks
312-.4603 .77884 (312*2π)/3351 weeks
313-.27206 .57427 (313*2π)/3351 weeks
314-.32018 .92785 (314*2π)/3351 weeks
315.16554 1.1094 (315*2π)/3351 weeks
316.18959 .27599 (316*2π)/3351 weeks
317-.55055 .92134 (317*2π)/3351 weeks
318.26364 1.1106 (318*2π)/3351 weeks
319.26091 .59679 (319*2π)/3351 weeks
320-.31712 .49951 (320*2π)/3351 weeks
321-.12879 1.27994 (321*2π)/3351 weeks
322-.09891 .63888 (322*2π)/3351 weeks
323-.70936 1.32315 (323*2π)/3351 weeks
324.13576 1.74824 (324*2π)/3351 weeks
325.61804 1.27105 (325*2π)/3351 weeks
326.01213 1.41229 (326*2π)/3351 weeks
327-.24151 1.16604 (327*2π)/3351 weeks
328-.62207 2.09066 (328*2π)/3351 weeks
329-.20543 3.61758 (329*2π)/3351 weeks
3301.61899 3.03839 (330*2π)/3351 weeks
331-.50254 2.55075 (331*2π)/3351 weeks
3321.65432 5.96667 (332*2π)/3351 weeks
3333.12038 3.16185 (333*2π)/3351 weeks



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