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# Fourier Analysis of PJNQX (JENNISON NATURAL RESOURCES FUND)

PJNQX (JENNISON NATURAL RESOURCES FUND) appears to have interesting cyclic behaviour every 27 weeks (1.2971*sine), 35 weeks (.8316*sine), and 32 weeks (.5708*cosine).

PJNQX (JENNISON NATURAL RESOURCES FUND) has an average price of 43.86 (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 12/27/2010 to 4/23/2018 for PJNQX (JENNISON NATURAL RESOURCES FUND), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
043.85563   0
1-.06896 8.05335 (1*2π)/383383 weeks
25.45613 -.2889 (2*2π)/383192 weeks
3-1.44151 3.44684 (3*2π)/383128 weeks
41.77341 2.08924 (4*2π)/38396 weeks
5.79266 1.87569 (5*2π)/38377 weeks
6.65025 -.28131 (6*2π)/38364 weeks
7-.24812 1.85961 (7*2π)/38355 weeks
8.65801 .49209 (8*2π)/38348 weeks
9-1.6841 1.49471 (9*2π)/38343 weeks
10-.48727 .06295 (10*2π)/38338 weeks
11-.55776 .83164 (11*2π)/38335 weeks
12.57075 -.20824 (12*2π)/38332 weeks
13.20205 .05764 (13*2π)/38329 weeks
14.02587 1.29706 (14*2π)/38327 weeks
15-.21502 .376 (15*2π)/38326 weeks
16-.36331 .15861 (16*2π)/38324 weeks
17.14684 .54005 (17*2π)/38323 weeks
18.47116 .19946 (18*2π)/38321 weeks
19-.4775 .62281 (19*2π)/38320 weeks
20-.278 .39757 (20*2π)/38319 weeks
21.10882 .22221 (21*2π)/38318 weeks
22-.13998 .1082 (22*2π)/38317 weeks
23.12727 -.07242 (23*2π)/38317 weeks
24.25796 -.1048 (24*2π)/38316 weeks
25.4584 -.00274 (25*2π)/38315 weeks
26.39014 .22638 (26*2π)/38315 weeks
27.40101 .32811 (27*2π)/38314 weeks
28.23103 .25275 (28*2π)/38314 weeks
29.08558 .33029 (29*2π)/38313 weeks
30-.01746 .04455 (30*2π)/38313 weeks
31-.15714 .05585 (31*2π)/38312 weeks
32.06012 .00827 (32*2π)/38312 weeks
33-.19911 -.06766 (33*2π)/38312 weeks
34.25297 .21893 (34*2π)/38311 weeks
35-.25626 .19862 (35*2π)/38311 weeks
36.03564 .22588 (36*2π)/38311 weeks
37-.07375 .0152 (37*2π)/38310 weeks
38.02137 .13265 (38*2π)/38310 weeks
39-.0939 -.12198 (39*2π)/38310 weeks
40.12031 .24568 (40*2π)/38310 weeks
41-.06312 .00003 (41*2π)/3839 weeks
42.18619 -.05999 (42*2π)/3839 weeks
43.13158 .14183 (43*2π)/3839 weeks
44.27743 .17848 (44*2π)/3839 weeks
45-.13225 .22892 (45*2π)/3839 weeks
46.29253 .40204 (46*2π)/3838 weeks
47-.02096 .2182 (47*2π)/3838 weeks
48-.01535 -.03056 (48*2π)/3838 weeks
49.06271 -.35548 (49*2π)/3838 weeks
50-.05281 -.03551 (50*2π)/3838 weeks
51.25357 -.23697 (51*2π)/3838 weeks
52.23943 -.05092 (52*2π)/3837 weeks
53.34177 -.13445 (53*2π)/3837 weeks
54.17699 .216 (54*2π)/3837 weeks
55.38905 .1105 (55*2π)/3837 weeks
56.11569 .30591 (56*2π)/3837 weeks
57.07961 .33993 (57*2π)/3837 weeks
58-.20405 .09318 (58*2π)/3837 weeks
59-.11114 .05164 (59*2π)/3836 weeks
60-.11444 -.03424 (60*2π)/3836 weeks
61.05131 .13893 (61*2π)/3836 weeks
62.0539 -.09671 (62*2π)/3836 weeks
63.04012 .03039 (63*2π)/3836 weeks
64.02584 .04192 (64*2π)/3836 weeks
65.03864 .14447 (65*2π)/3836 weeks
66.14127 .08924 (66*2π)/3836 weeks
67-.16365 .08381 (67*2π)/3836 weeks
68.0638 .08041 (68*2π)/3836 weeks
69.09606 .01976 (69*2π)/3836 weeks
70-.01715 -.03649 (70*2π)/3835 weeks
71-.08761 .10878 (71*2π)/3835 weeks
72.17461 .0901 (72*2π)/3835 weeks
73.08645 .09362 (73*2π)/3835 weeks
74-.06161 .21005 (74*2π)/3835 weeks
75.01057 .098 (75*2π)/3835 weeks
76.05302 -.02165 (76*2π)/3835 weeks
77.06445 .09076 (77*2π)/3835 weeks
78.09622 .07807 (78*2π)/3835 weeks
79-.03405 .06729 (79*2π)/3835 weeks
80-.12253 -.00726 (80*2π)/3835 weeks
81.04764 -.0116 (81*2π)/3835 weeks
82-.03418 .02054 (82*2π)/3835 weeks
83-.01242 -.01883 (83*2π)/3835 weeks
84.07092 -.06378 (84*2π)/3835 weeks
85.04724 -.00676 (85*2π)/3835 weeks
86.07867 -.15848 (86*2π)/3834 weeks
87.13184 .13004 (87*2π)/3834 weeks
88.10235 -.01559 (88*2π)/3834 weeks
89.06682 .02894 (89*2π)/3834 weeks
90.05492 -.0315 (90*2π)/3834 weeks
91.06408 .12646 (91*2π)/3834 weeks
92.00876 -.0727 (92*2π)/3834 weeks
93.01071 .06424 (93*2π)/3834 weeks
94.20802 .07753 (94*2π)/3834 weeks
95.03741 .14197 (95*2π)/3834 weeks
96-.01171 .19329 (96*2π)/3834 weeks
97-.02056 .21356 (97*2π)/3834 weeks
98-.0749 .08368 (98*2π)/3834 weeks
99-.1519 .07353 (99*2π)/3834 weeks
100.00086 .05607 (100*2π)/3834 weeks
101-.02699 -.05946 (101*2π)/3834 weeks
102.05543 .03751 (102*2π)/3834 weeks
103.08928 .03534 (103*2π)/3834 weeks
104.11053 .1236 (104*2π)/3834 weeks
105-.01456 .16282 (105*2π)/3834 weeks
106.06064 .09276 (106*2π)/3834 weeks
107.00136 -.01307 (107*2π)/3834 weeks
108-.01568 .04436 (108*2π)/3834 weeks
109.01468 .01886 (109*2π)/3834 weeks
110.02752 -.05715 (110*2π)/3833 weeks
111.02625 -.01627 (111*2π)/3833 weeks
112.04867 .00167 (112*2π)/3833 weeks
113.03135 .00155 (113*2π)/3833 weeks
114-.01727 .05146 (114*2π)/3833 weeks
115.08324 -.03145 (115*2π)/3833 weeks
116.13325 .00471 (116*2π)/3833 weeks
117.07563 .02025 (117*2π)/3833 weeks
118.05065 .07738 (118*2π)/3833 weeks
119-.04084 .04038 (119*2π)/3833 weeks
120.13441 .04092 (120*2π)/3833 weeks
121.02813 -.00363 (121*2π)/3833 weeks
122-.01474 .01833 (122*2π)/3833 weeks
123.01079 .05506 (123*2π)/3833 weeks
124-.03299 -.00882 (124*2π)/3833 weeks
125-.03385 -.08619 (125*2π)/3833 weeks
126-.00699 -.03295 (126*2π)/3833 weeks
127.01935 -.01022 (127*2π)/3833 weeks
128-.00681 .07787 (128*2π)/3833 weeks
129-.00623 .04 (129*2π)/3833 weeks
130.01899 -.05087 (130*2π)/3833 weeks
131.02654 .00155 (131*2π)/3833 weeks
132.09681 -.04284 (132*2π)/3833 weeks
133.02223 .02335 (133*2π)/3833 weeks
134.15123 .06634 (134*2π)/3833 weeks
135.08334 .05619 (135*2π)/3833 weeks
136.08367 .17036 (136*2π)/3833 weeks
137-.00523 .12229 (137*2π)/3833 weeks
138.04528 .04149 (138*2π)/3833 weeks
139.01411 .02674 (139*2π)/3833 weeks
140.02374 -.09782 (140*2π)/3833 weeks
141.07581 -.07271 (141*2π)/3833 weeks
142.16387 .00711 (142*2π)/3833 weeks
143.11787 .0794 (143*2π)/3833 weeks
144.0879 .00981 (144*2π)/3833 weeks
145.05772 .08946 (145*2π)/3833 weeks
146.08996 .01078 (146*2π)/3833 weeks
147.01628 .02897 (147*2π)/3833 weeks
148-.01483 .05558 (148*2π)/3833 weeks
149-.02338 -.03837 (149*2π)/3833 weeks
150.03306 -.07922 (150*2π)/3833 weeks
151.07353 -.01618 (151*2π)/3833 weeks
152.02533 -.01857 (152*2π)/3833 weeks
153.01619 .00319 (153*2π)/3833 weeks
154-.00405 -.04989 (154*2π)/3832 weeks
155.06702 -.01851 (155*2π)/3832 weeks
156.06505 -.05807 (156*2π)/3832 weeks
157.12334 -.09027 (157*2π)/3832 weeks
158.03429 -.01937 (158*2π)/3832 weeks
159.10266 .05591 (159*2π)/3832 weeks
160.03932 -.03552 (160*2π)/3832 weeks
161.01865 .12623 (161*2π)/3832 weeks
162.0676 -.00361 (162*2π)/3832 weeks
163.05981 -.00719 (163*2π)/3832 weeks
164.08351 -.07129 (164*2π)/3832 weeks
165.05893 .00317 (165*2π)/3832 weeks
166.08188 -.09429 (166*2π)/3832 weeks
167.1872 .03105 (167*2π)/3832 weeks
168.14617 .08383 (168*2π)/3832 weeks
169-.00771 .06838 (169*2π)/3832 weeks
170.03531 .04351 (170*2π)/3832 weeks
171-.01485 .02555 (171*2π)/3832 weeks
172.03329 .04913 (172*2π)/3832 weeks
173.00456 -.05833 (173*2π)/3832 weeks
174.04698 .05418 (174*2π)/3832 weeks
175.02076 -.06739 (175*2π)/3832 weeks
176.0803 -.00701 (176*2π)/3832 weeks
177.05004 -.09438 (177*2π)/3832 weeks
178.11948 .06035 (178*2π)/3832 weeks
179.05003 .04627 (179*2π)/3832 weeks
180.02008 .11861 (180*2π)/3832 weeks
181.05254 .00411 (181*2π)/3832 weeks
182-.04139 .03626 (182*2π)/3832 weeks
183.15146 .01545 (183*2π)/3832 weeks
184-.037 -.03458 (184*2π)/3832 weeks
185.00198 .00955 (185*2π)/3832 weeks
186.03107 -.06479 (186*2π)/3832 weeks
187.09538 .0185 (187*2π)/3832 weeks
188.02039 .00479 (188*2π)/3832 weeks
189.11888 .01895 (189*2π)/3832 weeks
190.02217 .02123 (190*2π)/3832 weeks
191-.03459 .07863 (191*2π)/3832 weeks
192-.03459 -.07863 (192*2π)/3832 weeks
193.02217 -.02123 (193*2π)/3832 weeks
194.11888 -.01895 (194*2π)/3832 weeks
195.02039 -.00479 (195*2π)/3832 weeks
196.09538 -.0185 (196*2π)/3832 weeks
197.03107 .06479 (197*2π)/3832 weeks
198.00198 -.00955 (198*2π)/3832 weeks
199-.037 .03458 (199*2π)/3832 weeks
200.15146 -.01545 (200*2π)/3832 weeks
201-.04139 -.03626 (201*2π)/3832 weeks
202.05254 -.00411 (202*2π)/3832 weeks
203.02008 -.11861 (203*2π)/3832 weeks
204.05003 -.04627 (204*2π)/3832 weeks
205.11948 -.06035 (205*2π)/3832 weeks
206.05004 .09438 (206*2π)/3832 weeks
207.0803 .00701 (207*2π)/3832 weeks
208.02076 .06739 (208*2π)/3832 weeks
209.04698 -.05418 (209*2π)/3832 weeks
210.00456 .05833 (210*2π)/3832 weeks
211.03329 -.04913 (211*2π)/3832 weeks
212-.01485 -.02555 (212*2π)/3832 weeks
213.03531 -.04351 (213*2π)/3832 weeks
214-.00771 -.06838 (214*2π)/3832 weeks
215.14617 -.08383 (215*2π)/3832 weeks
216.1872 -.03105 (216*2π)/3832 weeks
217.08188 .09429 (217*2π)/3832 weeks
218.05893 -.00317 (218*2π)/3832 weeks
219.08351 .07129 (219*2π)/3832 weeks
220.05981 .00719 (220*2π)/3832 weeks
221.0676 .00361 (221*2π)/3832 weeks
222.01865 -.12623 (222*2π)/3832 weeks
223.03932 .03552 (223*2π)/3832 weeks
224.10266 -.05591 (224*2π)/3832 weeks
225.03429 .01937 (225*2π)/3832 weeks
226.12334 .09027 (226*2π)/3832 weeks
227.06505 .05807 (227*2π)/3832 weeks
228.06702 .01851 (228*2π)/3832 weeks
229-.00405 .04989 (229*2π)/3832 weeks
230.01619 -.00319 (230*2π)/3832 weeks
231.02533 .01857 (231*2π)/3832 weeks
232.07353 .01618 (232*2π)/3832 weeks
233.03306 .07922 (233*2π)/3832 weeks
234-.02338 .03837 (234*2π)/3832 weeks
235-.01483 -.05558 (235*2π)/3832 weeks
236.01628 -.02897 (236*2π)/3832 weeks
237.08996 -.01078 (237*2π)/3832 weeks
238.05772 -.08946 (238*2π)/3832 weeks
239.0879 -.00981 (239*2π)/3832 weeks
240.11787 -.0794 (240*2π)/3832 weeks
241.16387 -.00711 (241*2π)/3832 weeks
242.07581 .07271 (242*2π)/3832 weeks
243.02374 .09782 (243*2π)/3832 weeks
244.01411 -.02674 (244*2π)/3832 weeks
245.04528 -.04149 (245*2π)/3832 weeks
246-.00523 -.12229 (246*2π)/3832 weeks
247.08367 -.17036 (247*2π)/3832 weeks
248.08334 -.05619 (248*2π)/3832 weeks
249.15123 -.06634 (249*2π)/3832 weeks
250.02223 -.02335 (250*2π)/3832 weeks
251.09681 .04284 (251*2π)/3832 weeks
252.02654 -.00155 (252*2π)/3832 weeks
253.01899 .05087 (253*2π)/3832 weeks
254-.00623 -.04 (254*2π)/3832 weeks
255-.00681 -.07787 (255*2π)/3832 weeks
256.01935 .01022 (256*2π)/3831 weeks
257-.00699 .03295 (257*2π)/3831 weeks
258-.03385 .08619 (258*2π)/3831 weeks
259-.03299 .00882 (259*2π)/3831 weeks
260.01079 -.05506 (260*2π)/3831 weeks
261-.01474 -.01833 (261*2π)/3831 weeks
262.02813 .00363 (262*2π)/3831 weeks
263.13441 -.04092 (263*2π)/3831 weeks
264-.04084 -.04038 (264*2π)/3831 weeks
265.05065 -.07738 (265*2π)/3831 weeks
266.07563 -.02025 (266*2π)/3831 weeks
267.13325 -.00471 (267*2π)/3831 weeks
268.08324 .03145 (268*2π)/3831 weeks
269-.01727 -.05146 (269*2π)/3831 weeks
270.03135 -.00155 (270*2π)/3831 weeks
271.04867 -.00167 (271*2π)/3831 weeks
272.02625 .01627 (272*2π)/3831 weeks
273.02752 .05715 (273*2π)/3831 weeks
274.01468 -.01886 (274*2π)/3831 weeks
275-.01568 -.04436 (275*2π)/3831 weeks
276.00136 .01307 (276*2π)/3831 weeks
277.06064 -.09276 (277*2π)/3831 weeks
278-.01456 -.16282 (278*2π)/3831 weeks
279.11053 -.1236 (279*2π)/3831 weeks
280.08928 -.03534 (280*2π)/3831 weeks
281.05543 -.03751 (281*2π)/3831 weeks
282-.02699 .05946 (282*2π)/3831 weeks
283.00086 -.05607 (283*2π)/3831 weeks
284-.1519 -.07353 (284*2π)/3831 weeks
285-.0749 -.08368 (285*2π)/3831 weeks
286-.02056 -.21356 (286*2π)/3831 weeks
287-.01171 -.19329 (287*2π)/3831 weeks
288.03741 -.14197 (288*2π)/3831 weeks
289.20802 -.07753 (289*2π)/3831 weeks
290.01071 -.06424 (290*2π)/3831 weeks
291.00876 .0727 (291*2π)/3831 weeks
292.06408 -.12646 (292*2π)/3831 weeks
293.05492 .0315 (293*2π)/3831 weeks
294.06682 -.02894 (294*2π)/3831 weeks
295.10235 .01559 (295*2π)/3831 weeks
296.13184 -.13004 (296*2π)/3831 weeks
297.07867 .15848 (297*2π)/3831 weeks
298.04724 .00676 (298*2π)/3831 weeks
299.07092 .06378 (299*2π)/3831 weeks
300-.01242 .01883 (300*2π)/3831 weeks
301-.03418 -.02054 (301*2π)/3831 weeks
302.04764 .0116 (302*2π)/3831 weeks
303-.12253 .00726 (303*2π)/3831 weeks
304-.03405 -.06729 (304*2π)/3831 weeks
305.09622 -.07807 (305*2π)/3831 weeks
306.06445 -.09076 (306*2π)/3831 weeks
307.05302 .02165 (307*2π)/3831 weeks
308.01057 -.098 (308*2π)/3831 weeks
309-.06161 -.21005 (309*2π)/3831 weeks
310.08645 -.09362 (310*2π)/3831 weeks
311.17461 -.0901 (311*2π)/3831 weeks
312-.08761 -.10878 (312*2π)/3831 weeks
313-.01715 .03649 (313*2π)/3831 weeks
314.09606 -.01976 (314*2π)/3831 weeks
315.0638 -.08041 (315*2π)/3831 weeks
316-.16365 -.08381 (316*2π)/3831 weeks
317.14127 -.08924 (317*2π)/3831 weeks
318.03864 -.14447 (318*2π)/3831 weeks
319.02584 -.04192 (319*2π)/3831 weeks
320.04012 -.03039 (320*2π)/3831 weeks
321.0539 .09671 (321*2π)/3831 weeks
322.05131 -.13893 (322*2π)/3831 weeks
323-.11444 .03424 (323*2π)/3831 weeks
324-.11114 -.05164 (324*2π)/3831 weeks
325-.20405 -.09318 (325*2π)/3831 weeks
326.07961 -.33993 (326*2π)/3831 weeks
327.11569 -.30591 (327*2π)/3831 weeks
328.38905 -.1105 (328*2π)/3831 weeks
329.17699 -.216 (329*2π)/3831 weeks
330.34177 .13445 (330*2π)/3831 weeks
331.23943 .05092 (331*2π)/3831 weeks
332.25357 .23697 (332*2π)/3831 weeks
333-.05281 .03551 (333*2π)/3831 weeks
334.06271 .35548 (334*2π)/3831 weeks
335-.01535 .03056 (335*2π)/3831 weeks
336-.02096 -.2182 (336*2π)/3831 weeks
337.29253 -.40204 (337*2π)/3831 weeks
338-.13225 -.22892 (338*2π)/3831 weeks
339.27743 -.17848 (339*2π)/3831 weeks
340.13158 -.14183 (340*2π)/3831 weeks
341.18619 .05999 (341*2π)/3831 weeks
342-.06312 -.00003 (342*2π)/3831 weeks
343.12031 -.24568 (343*2π)/3831 weeks
344-.0939 .12198 (344*2π)/3831 weeks
345.02137 -.13265 (345*2π)/3831 weeks
346-.07375 -.0152 (346*2π)/3831 weeks
347.03564 -.22588 (347*2π)/3831 weeks
348-.25626 -.19862 (348*2π)/3831 weeks
349.25297 -.21893 (349*2π)/3831 weeks
350-.19911 .06766 (350*2π)/3831 weeks
351.06012 -.00827 (351*2π)/3831 weeks
352-.15714 -.05585 (352*2π)/3831 weeks
353-.01746 -.04455 (353*2π)/3831 weeks
354.08558 -.33029 (354*2π)/3831 weeks
355.23103 -.25275 (355*2π)/3831 weeks
356.40101 -.32811 (356*2π)/3831 weeks
357.39014 -.22638 (357*2π)/3831 weeks
358.4584 .00274 (358*2π)/3831 weeks
359.25796 .1048 (359*2π)/3831 weeks
360.12727 .07242 (360*2π)/3831 weeks
361-.13998 -.1082 (361*2π)/3831 weeks
362.10882 -.22221 (362*2π)/3831 weeks
363-.278 -.39757 (363*2π)/3831 weeks
364-.4775 -.62281 (364*2π)/3831 weeks
365.47116 -.19946 (365*2π)/3831 weeks
366.14684 -.54005 (366*2π)/3831 weeks
367-.36331 -.15861 (367*2π)/3831 weeks
368-.21502 -.376 (368*2π)/3831 weeks
369.02587 -1.29706 (369*2π)/3831 weeks
370.20205 -.05764 (370*2π)/3831 weeks
371.57075 .20824 (371*2π)/3831 weeks
372-.55776 -.83164 (372*2π)/3831 weeks
373-.48727 -.06295 (373*2π)/3831 weeks
374-1.6841 -1.49471 (374*2π)/3831 weeks
375.65801 -.49209 (375*2π)/3831 weeks
376-.24812 -1.85961 (376*2π)/3831 weeks
377.65025 .28131 (377*2π)/3831 weeks
378.79266 -1.87569 (378*2π)/3831 weeks
3791.77341 -2.08924 (379*2π)/3831 weeks
380-1.44151 -3.44684 (380*2π)/3831 weeks
3815.45613 .2889 (381*2π)/3831 weeks