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# Fourier Analysis of ARDNA (Arden Group, Inc.)

ARDNA (Arden Group, Inc.) appears to have interesting cyclic behaviour every 155 weeks (4.6996*sine), 144 weeks (3.3749*sine), and 201 weeks (3.3341*sine).

ARDNA (Arden Group, Inc.) has an average price of 35.26 (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 6/1/1972 to 2/17/2014 for ARDNA (Arden Group, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
035.26104   0
122.5397 -43.49244 (1*2π)/20102,010 weeks
2-4.92584 -25.01347 (2*2π)/20101,005 weeks
3-5.2452 -8.05252 (3*2π)/2010670 weeks
4-2.62307 -3.52953 (4*2π)/2010503 weeks
53.81989 -.32553 (5*2π)/2010402 weeks
65.10154 -4.62584 (6*2π)/2010335 weeks
74.83336 -5.64794 (7*2π)/2010287 weeks
81.88692 -8.01289 (8*2π)/2010251 weeks
9-.59142 -5.59617 (9*2π)/2010223 weeks
10-.26905 -3.3341 (10*2π)/2010201 weeks
11.45142 -3.32907 (11*2π)/2010183 weeks
121.27593 -2.0751 (12*2π)/2010168 weeks
131.67674 -4.69961 (13*2π)/2010155 weeks
14-1.26523 -3.37487 (14*2π)/2010144 weeks
15.49318 -1.16526 (15*2π)/2010134 weeks
161.75777 -2.72433 (16*2π)/2010126 weeks
17.51181 -3.3438 (17*2π)/2010118 weeks
18.16152 -2.84651 (18*2π)/2010112 weeks
19-.09477 -2.17013 (19*2π)/2010106 weeks
20.70909 -2.09868 (20*2π)/2010101 weeks
21.43658 -2.82401 (21*2π)/201096 weeks
22-.09536 -2.37133 (22*2π)/201091 weeks
23.04923 -2.3719 (23*2π)/201087 weeks
24-.59301 -2.05998 (24*2π)/201084 weeks
25.06585 -1.55426 (25*2π)/201080 weeks
26-.09399 -1.98802 (26*2π)/201077 weeks
27-.15761 -1.57882 (27*2π)/201074 weeks
28-.21496 -1.57232 (28*2π)/201072 weeks
29.39015 -1.25964 (29*2π)/201069 weeks
30.16127 -2.2701 (30*2π)/201067 weeks
31-.68586 -1.65587 (31*2π)/201065 weeks
32-.10582 -1.2817 (32*2π)/201063 weeks
33-.39851 -1.5027 (33*2π)/201061 weeks
34-.07262 -.86831 (34*2π)/201059 weeks
35.24375 -1.41709 (35*2π)/201057 weeks
36-.12791 -1.58211 (36*2π)/201056 weeks
37.07067 -1.4277 (37*2π)/201054 weeks
38-.48734 -2.27395 (38*2π)/201053 weeks
39-1.29139 -1.14456 (39*2π)/201052 weeks
40-1.2078 -.5475 (40*2π)/201050 weeks
41.08112 .2911 (41*2π)/201049 weeks
42.69103 -.81242 (42*2π)/201048 weeks
43.35113 -1.73085 (43*2π)/201047 weeks
44-.54549 -1.53253 (44*2π)/201046 weeks
45-.78449 -1.22421 (45*2π)/201045 weeks
46-.91169 -.84055 (46*2π)/201044 weeks
47-.968 -.26841 (47*2π)/201043 weeks
48-.26959 .10867 (48*2π)/201042 weeks
49.25318 -.12306 (49*2π)/201041 weeks
50.40698 -.59191 (50*2π)/201040 weeks
51.30153 -.91255 (51*2π)/201039 weeks
52-.00832 -1.29085 (52*2π)/201039 weeks
53-.91286 -1.01652 (53*2π)/201038 weeks
54-.7062 -.03885 (54*2π)/201037 weeks
55-.11156 -.03377 (55*2π)/201037 weeks
56.0291 .02033 (56*2π)/201036 weeks
57.75688 .00982 (57*2π)/201035 weeks
58.83562 -1.01518 (58*2π)/201035 weeks
59.21579 -1.34731 (59*2π)/201034 weeks
60-.47337 -1.0517 (60*2π)/201034 weeks
61-.32121 -.62429 (61*2π)/201033 weeks
62-.18997 -.44402 (62*2π)/201032 weeks
63-.10266 -.51763 (63*2π)/201032 weeks
64.10908 -.54651 (64*2π)/201031 weeks
65-.23661 -.80433 (65*2π)/201031 weeks
66-.50372 -.3084 (66*2π)/201030 weeks
67.28427 -.02374 (67*2π)/201030 weeks
68.13578 -.70771 (68*2π)/201030 weeks
69-.06953 -.41854 (69*2π)/201029 weeks
70.11355 -.34785 (70*2π)/201029 weeks
71.28509 -.52856 (71*2π)/201028 weeks
72.22629 -.74136 (72*2π)/201028 weeks
73-.18717 -.90298 (73*2π)/201028 weeks
74-.30358 -.41248 (74*2π)/201027 weeks
75-.11636 -.30135 (75*2π)/201027 weeks
76.23655 -.30945 (76*2π)/201026 weeks
77.11528 -.70347 (77*2π)/201026 weeks
78-.19694 -.46474 (78*2π)/201026 weeks
79.23309 -.26982 (79*2π)/201025 weeks
80.28251 -.89163 (80*2π)/201025 weeks
81-.56234 -.82348 (81*2π)/201025 weeks
82-.25498 -.06188 (82*2π)/201025 weeks
83.03787 -.16908 (83*2π)/201024 weeks
84.26278 -.24521 (84*2π)/201024 weeks
85.46702 -.54213 (85*2π)/201024 weeks
86-.01426 -.93215 (86*2π)/201023 weeks
87-.15714 -.45259 (87*2π)/201023 weeks
88.00242 -.38285 (88*2π)/201023 weeks
89.27091 -.46164 (89*2π)/201023 weeks
90.20676 -.74882 (90*2π)/201022 weeks
91-.08975 -.91221 (91*2π)/201022 weeks
92-.29094 -.69118 (92*2π)/201022 weeks
93-.28437 -.5408 (93*2π)/201022 weeks
94-.25324 -.49389 (94*2π)/201021 weeks
95-.28378 -.42352 (95*2π)/201021 weeks
96-.30097 -.25327 (96*2π)/201021 weeks
97-.00156 -.16965 (97*2π)/201021 weeks
98.06583 -.35539 (98*2π)/201021 weeks
99.16128 -.43723 (99*2π)/201020 weeks
100-.01077 -.73434 (100*2π)/201020 weeks
101-.30357 -.55175 (101*2π)/201020 weeks
102-.25049 -.43756 (102*2π)/201020 weeks
103-.29265 -.26992 (103*2π)/201020 weeks
104-.07733 -.16267 (104*2π)/201019 weeks
105.13087 -.35063 (105*2π)/201019 weeks
106-.0619 -.40627 (106*2π)/201019 weeks
107.10762 -.61876 (107*2π)/201019 weeks
108-.31198 -.69931 (108*2π)/201019 weeks
109-.61781 -.38589 (109*2π)/201018 weeks
110-.23786 .10209 (110*2π)/201018 weeks
111.00705 -.22383 (111*2π)/201018 weeks
112-.10077 -.21365 (112*2π)/201018 weeks
113.07476 -.2583 (113*2π)/201018 weeks
114-.11478 -.48209 (114*2π)/201018 weeks
115-.26412 -.18151 (115*2π)/201017 weeks
116-.06426 -.12117 (116*2π)/201017 weeks
117.05589 -.20443 (117*2π)/201017 weeks
118-.03234 -.22166 (118*2π)/201017 weeks
119.10257 -.17936 (119*2π)/201017 weeks
120.27676 -.37484 (120*2π)/201017 weeks
121-.09572 -.6202 (121*2π)/201017 weeks
122-.20992 -.32314 (122*2π)/201016 weeks
123-.07489 -.22294 (123*2π)/201016 weeks
124-.07045 -.32678 (124*2π)/201016 weeks
125-.06142 -.2696 (125*2π)/201016 weeks
126-.0626 -.30989 (126*2π)/201016 weeks
127-.15953 -.19527 (127*2π)/201016 weeks
128.17132 -.22651 (128*2π)/201016 weeks
129-.14523 -.41313 (129*2π)/201016 weeks
130-.08233 -.18161 (130*2π)/201015 weeks
131.08349 -.21639 (131*2π)/201015 weeks
132-.02404 -.38896 (132*2π)/201015 weeks
133-.0094 -.29342 (133*2π)/201015 weeks
134-.14752 -.3744 (134*2π)/201015 weeks
135-.0602 -.11812 (135*2π)/201015 weeks
136.06649 -.32215 (136*2π)/201015 weeks
137-.13103 -.32586 (137*2π)/201015 weeks
138.01434 -.13347 (138*2π)/201015 weeks
139.04548 -.32185 (139*2π)/201014 weeks
140.02079 -.30545 (140*2π)/201014 weeks
141.00916 -.33759 (141*2π)/201014 weeks
142-.10351 -.40654 (142*2π)/201014 weeks
143-.1 -.27606 (143*2π)/201014 weeks
144-.14709 -.22603 (144*2π)/201014 weeks
145.03513 -.19692 (145*2π)/201014 weeks
146-.01263 -.35182 (146*2π)/201014 weeks
147-.19613 -.23532 (147*2π)/201014 weeks
148.04322 -.17031 (148*2π)/201014 weeks
149-.03862 -.2022 (149*2π)/201013 weeks
150.14121 -.1933 (150*2π)/201013 weeks
151.26131 -.43523 (151*2π)/201013 weeks
152-.15729 -.65355 (152*2π)/201013 weeks
153-.15876 -.37797 (153*2π)/201013 weeks
154-.27284 -.40346 (154*2π)/201013 weeks
155-.34022 -.25311 (155*2π)/201013 weeks
156-.22212 -.00921 (156*2π)/201013 weeks
157-.09044 -.08881 (157*2π)/201013 weeks
158.06769 .00377 (158*2π)/201013 weeks
159.16726 -.24475 (159*2π)/201013 weeks
160.11524 -.34761 (160*2π)/201013 weeks
161-.09317 -.41298 (161*2π)/201012 weeks
162-.10678 -.21577 (162*2π)/201012 weeks
163.04305 -.35504 (163*2π)/201012 weeks
164-.25614 -.37575 (164*2π)/201012 weeks
165-.21665 -.06027 (165*2π)/201012 weeks
166.09834 -.05638 (166*2π)/201012 weeks
167.11212 -.28556 (167*2π)/201012 weeks
168.08522 -.44028 (168*2π)/201012 weeks
169-.18873 -.43573 (169*2π)/201012 weeks
170-.20864 -.23592 (170*2π)/201012 weeks
171-.0502 -.2902 (171*2π)/201012 weeks
172-.32621 -.2944 (172*2π)/201012 weeks
173-.14683 -.02197 (173*2π)/201012 weeks
174-.01852 -.09479 (174*2π)/201012 weeks
175.08034 -.15865 (175*2π)/201011 weeks
176.09357 -.37328 (176*2π)/201011 weeks
177-.18633 -.40648 (177*2π)/201011 weeks
178-.19287 -.238 (178*2π)/201011 weeks
179-.1777 -.22073 (179*2π)/201011 weeks
180-.17132 -.13602 (180*2π)/201011 weeks
181-.10607 -.14875 (181*2π)/201011 weeks
182-.16105 -.09848 (182*2π)/201011 weeks
183.03004 -.07619 (183*2π)/201011 weeks
184.00727 -.21943 (184*2π)/201011 weeks
185-.07341 -.21921 (185*2π)/201011 weeks
186-.08919 -.22596 (186*2π)/201011 weeks
187-.1507 -.03668 (187*2π)/201011 weeks
188.11738 -.06318 (188*2π)/201011 weeks
189.16913 -.3008 (189*2π)/201011 weeks
190-.07275 -.38273 (190*2π)/201011 weeks
191-.09075 -.32596 (191*2π)/201011 weeks
192-.23119 -.29555 (192*2π)/201010 weeks
193-.25479 -.15895 (193*2π)/201010 weeks
194-.21293 .01698 (194*2π)/201010 weeks
195.05404 .01608 (195*2π)/201010 weeks
196.08211 -.13911 (196*2π)/201010 weeks
197.07977 -.22521 (197*2π)/201010 weeks
198.00328 -.35476 (198*2π)/201010 weeks
199-.21866 -.33534 (199*2π)/201010 weeks
200-.26653 -.07063 (200*2π)/201010 weeks
201-.08268 -.0673 (201*2π)/201010 weeks
202-.05594 -.02537 (202*2π)/201010 weeks
203-.02871 -.08494 (203*2π)/201010 weeks
204.05101 -.01573 (204*2π)/201010 weeks
205.19833 -.09497 (205*2π)/201010 weeks
206.14997 -.39159 (206*2π)/201010 weeks
207-.11047 -.31464 (207*2π)/201010 weeks
208-.1247 -.20639 (208*2π)/201010 weeks
209-.07261 -.07627 (209*2π)/201010 weeks
210.08931 -.13477 (210*2π)/201010 weeks
211.06872 -.25183 (211*2π)/201010 weeks
212.02862 -.32342 (212*2π)/20109 weeks
213-.16281 -.31754 (213*2π)/20109 weeks
214-.07397 -.10929 (214*2π)/20109 weeks
215-.00286 -.27242 (215*2π)/20109 weeks
216-.1881 -.24117 (216*2π)/20109 weeks
217-.05212 -.03539 (217*2π)/20109 weeks
218.06431 -.21572 (218*2π)/20109 weeks
219-.03942 -.2514 (219*2π)/20109 weeks
220-.01852 -.23075 (220*2π)/20109 weeks
221-.07333 -.29449 (221*2π)/20109 weeks
222-.12502 -.23457 (222*2π)/20109 weeks
223-.12677 -.19853 (223*2π)/20109 weeks
224-.05543 -.17188 (224*2π)/20109 weeks
225-.05065 -.27316 (225*2π)/20109 weeks
226-.21299 -.2677 (226*2π)/20109 weeks
227-.16423 -.13601 (227*2π)/20109 weeks
228-.20265 -.13351 (228*2π)/20109 weeks
229-.09345 .01641 (229*2π)/20109 weeks
230.04519 -.13154 (230*2π)/20109 weeks
231-.06017 -.21195 (231*2π)/20109 weeks
232-.072 -.1707 (232*2π)/20109 weeks
233-.15745 -.19045 (233*2π)/20109 weeks
234-.08523 -.00498 (234*2π)/20109 weeks
235.08739 -.14818 (235*2π)/20109 weeks
236-.05346 -.30784 (236*2π)/20109 weeks
237-.16883 -.19118 (237*2π)/20108 weeks
238-.12998 -.15099 (238*2π)/20108 weeks
239-.18339 -.10932 (239*2π)/20108 weeks
240-.07591 -.04019 (240*2π)/20108 weeks
241-.09317 -.05189 (241*2π)/20108 weeks
242.03756 -.05439 (242*2π)/20108 weeks
243-.00983 -.18938 (243*2π)/20108 weeks
244-.12142 -.12823 (244*2π)/20108 weeks
245-.04283 -.01483 (245*2π)/20108 weeks
246.0898 -.06934 (246*2π)/20108 weeks
247.08307 -.21365 (247*2π)/20108 weeks
248-.01504 -.29396 (248*2π)/20108 weeks
249-.19993 -.22696 (249*2π)/20108 weeks
250-.12223 -.00115 (250*2π)/20108 weeks
251.0373 -.03907 (251*2π)/20108 weeks
252.12811 -.16181 (252*2π)/20108 weeks
253.01156 -.29175 (253*2π)/20108 weeks
254-.07302 -.20403 (254*2π)/20108 weeks
255.01487 -.25654 (255*2π)/20108 weeks
256-.19048 -.34437 (256*2π)/20108 weeks
257-.27421 -.11665 (257*2π)/20108 weeks
258-.17906 -.01651 (258*2π)/20108 weeks
259-.03748 .0743 (259*2π)/20108 weeks
260.14815 -.07756 (260*2π)/20108 weeks
261.07806 -.28407 (261*2π)/20108 weeks
262-.1385 -.32339 (262*2π)/20108 weeks
263-.22191 -.11789 (263*2π)/20108 weeks
264-.08795 -.02262 (264*2π)/20108 weeks
265-.03728 -.10034 (265*2π)/20108 weeks
266-.06332 -.04636 (266*2π)/20108 weeks
267.073 -.0454 (267*2π)/20108 weeks
268.12241 -.21605 (268*2π)/20108 weeks
269-.06979 -.27669 (269*2π)/20107 weeks
270-.06197 -.1613 (270*2π)/20107 weeks
271-.07143 -.1664 (271*2π)/20107 weeks
272-.01439 -.15877 (272*2π)/20107 weeks
273-.04627 -.2518 (273*2π)/20107 weeks
274-.1817 -.19119 (274*2π)/20107 weeks
275-.09203 -.02104 (275*2π)/20107 weeks
276.02828 -.12914 (276*2π)/20107 weeks
277.00088 -.17618 (277*2π)/20107 weeks
278.00971 -.26953 (278*2π)/20107 weeks
279-.21887 -.32309 (279*2π)/20107 weeks
280-.25846 -.01629 (280*2π)/20107 weeks
281-.03254 .01303 (281*2π)/20107 weeks
282.04035 -.03546 (282*2π)/20107 weeks
283.17612 -.16283 (283*2π)/20107 weeks
284.07492 -.41554 (284*2π)/20107 weeks
285-.20072 -.46077 (285*2π)/20107 weeks
286-.40984 -.2207 (286*2π)/20107 weeks
287-.28584 -.00656 (287*2π)/20107 weeks
288-.17206 .03595 (288*2π)/20107 weeks
289-.05579 .07244 (289*2π)/20107 weeks
290.12296 -.05791 (290*2π)/20107 weeks
291.00445 -.26966 (291*2π)/20107 weeks
292-.13498 -.21285 (292*2π)/20107 weeks
293-.14202 -.1718 (293*2π)/20107 weeks
294-.24092 -.16375 (294*2π)/20107 weeks
295-.22582 .05747 (295*2π)/20107 weeks
296-.03299 .04828 (296*2π)/20107 weeks
297-.01028 -.03241 (297*2π)/20107 weeks
298.01664 -.05145 (298*2π)/20107 weeks
299-.03193 -.11212 (299*2π)/20107 weeks
300.03835 -.03145 (300*2π)/20107 weeks
301.07499 -.21243 (301*2π)/20107 weeks
302-.11515 -.23508 (302*2π)/20107 weeks
303-.09978 -.08896 (303*2π)/20107 weeks
304-.05152 -.12915 (304*2π)/20107 weeks
305-.08372 -.14475 (305*2π)/20107 weeks
306-.08279 -.12248 (306*2π)/20107 weeks
307-.10639 -.11128 (307*2π)/20107 weeks
308-.07212 -.08767 (308*2π)/20107 weeks
309-.0975 -.10289 (309*2π)/20107 weeks
310-.08687 -.05058 (310*2π)/20106 weeks
311-.05055 -.03919 (311*2π)/20106 weeks
312.0314 -.01756 (312*2π)/20106 weeks
313.14558 -.17199 (313*2π)/20106 weeks
314-.05685 -.36254 (314*2π)/20106 weeks
315-.26905 -.20225 (315*2π)/20106 weeks
316-.23734 -.0317 (316*2π)/20106 weeks
317-.14072 .0706 (317*2π)/20106 weeks
318.02739 .10258 (318*2π)/20106 weeks
319.16433 -.06491 (319*2π)/20106 weeks
320.08395 -.21424 (320*2π)/20106 weeks
321-.02706 -.28923 (321*2π)/20106 weeks
322-.22431 -.23333 (322*2π)/20106 weeks
323-.21345 .00568 (323*2π)/20106 weeks
324-.0475 .06229 (324*2π)/20106 weeks
325.09795 -.04691 (325*2π)/20106 weeks
326.0638 -.15907 (326*2π)/20106 weeks
327-.0662 -.247 (327*2π)/20106 weeks
328-.15355 -.11585 (328*2π)/20106 weeks
329-.10938 .01238 (329*2π)/20106 weeks
330.10547 .00749 (330*2π)/20106 weeks
331.13732 -.22672 (331*2π)/20106 weeks
332-.08068 -.28804 (332*2π)/20106 weeks
333-.14077 -.18267 (333*2π)/20106 weeks
334-.18485 -.09073 (334*2π)/20106 weeks
335-.04235 .03426 (335*2π)/20106 weeks
336.08774 -.08534 (336*2π)/20106 weeks
337.0252 -.21838 (337*2π)/20106 weeks
338-.04288 -.18327 (338*2π)/20106 weeks
339-.06051 -.23722 (339*2π)/20106 weeks
340-.14201 -.21077 (340*2π)/20106 weeks
341-.18882 -.13175 (341*2π)/20106 weeks
342-.13671 -.03901