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Fourier Analysis of LND (Brasilagro Brazilian Agric Real)


LND (Brasilagro Brazilian Agric Real) appears to have interesting cyclic behaviour every 21 weeks (.1608*sine), 16 weeks (.0583*sine), and 21 weeks (.0488*cosine).

LND (Brasilagro Brazilian Agric Real) has an average price of 3.56 (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 5/15/2012 to 3/13/2017 for LND (Brasilagro Brazilian Agric Real), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
03.55889   0 
1.25364 .75067 (1*2π)/253253 weeks
2-.05552 .0596 (2*2π)/253127 weeks
3-.15815 .05404 (3*2π)/25384 weeks
4-.11413 -.17884 (4*2π)/25363 weeks
5.0067 .2275 (5*2π)/25351 weeks
6.04017 -.09101 (6*2π)/25342 weeks
7.07135 .04035 (7*2π)/25336 weeks
8-.07074 -.0665 (8*2π)/25332 weeks
9.04213 -.10427 (9*2π)/25328 weeks
10.00432 -.02855 (10*2π)/25325 weeks
11-.00791 -.04754 (11*2π)/25323 weeks
12-.04881 -.16082 (12*2π)/25321 weeks
13-.00578 .03774 (13*2π)/25319 weeks
14.02577 -.02167 (14*2π)/25318 weeks
15-.00004 .02255 (15*2π)/25317 weeks
16-.03185 -.0583 (16*2π)/25316 weeks
17-.00009 -.0306 (17*2π)/25315 weeks
18-.0404 .00369 (18*2π)/25314 weeks
19-.03405 .00214 (19*2π)/25313 weeks
20.01518 .00004 (20*2π)/25313 weeks
21.02429 -.01482 (21*2π)/25312 weeks
22.00401 .01979 (22*2π)/25312 weeks
23.04103 -.03868 (23*2π)/25311 weeks
24.03929 -.00094 (24*2π)/25311 weeks
25-.00161 .00791 (25*2π)/25310 weeks
26-.02873 -.00843 (26*2π)/25310 weeks
27.0193 .01717 (27*2π)/2539 weeks
28-.01014 -.01326 (28*2π)/2539 weeks
29-.00141 -.00929 (29*2π)/2539 weeks
30-.03803 .00733 (30*2π)/2538 weeks
31.01379 -.00894 (31*2π)/2538 weeks
32.00203 -.00177 (32*2π)/2538 weeks
33.02962 .00867 (33*2π)/2538 weeks
34-.01372 -.0194 (34*2π)/2537 weeks
35-.00814 -.00079 (35*2π)/2537 weeks
36.0219 -.02422 (36*2π)/2537 weeks
37-.00998 .0147 (37*2π)/2537 weeks
38.0023 -.03258 (38*2π)/2537 weeks
39-.03774 .0055 (39*2π)/2536 weeks
40.03231 -.01316 (40*2π)/2536 weeks
41-.00255 .0008 (41*2π)/2536 weeks
42.00216 .00553 (42*2π)/2536 weeks
43-.01234 -.0043 (43*2π)/2536 weeks
44.02681 .00617 (44*2π)/2536 weeks
45-.02258 -.01785 (45*2π)/2536 weeks
46-.00294 .0112 (46*2π)/2536 weeks
47.02325 -.00791 (47*2π)/2535 weeks
48-.01685 .01755 (48*2π)/2535 weeks
49-.02276 -.00211 (49*2π)/2535 weeks
50-.02962 -.00509 (50*2π)/2535 weeks
51.01299 -.00615 (51*2π)/2535 weeks
52-.00661 -.01356 (52*2π)/2535 weeks
53.0038 -.00222 (53*2π)/2535 weeks
54-.00751 -.01015 (54*2π)/2535 weeks
55.01047 -.00263 (55*2π)/2535 weeks
56-.01212 .00688 (56*2π)/2535 weeks
57.00048 .00721 (57*2π)/2534 weeks
58.00143 -.02585 (58*2π)/2534 weeks
59.00217 -.00191 (59*2π)/2534 weeks
60.00132 -.02135 (60*2π)/2534 weeks
61.03124 -.00433 (61*2π)/2534 weeks
62-.00347 -.02737 (62*2π)/2534 weeks
63-.00978 -.01032 (63*2π)/2534 weeks
64.01563 -.01581 (64*2π)/2534 weeks
65-.03015 .01018 (65*2π)/2534 weeks
66.0171 -.00469 (66*2π)/2534 weeks
67-.01451 -.00786 (67*2π)/2534 weeks
68.01123 -.00805 (68*2π)/2534 weeks
69-.01293 -.01568 (69*2π)/2534 weeks
70.02574 .01574 (70*2π)/2534 weeks
71-.00776 -.01334 (71*2π)/2534 weeks
72.00939 .02702 (72*2π)/2534 weeks
73-.00862 -.02391 (73*2π)/2533 weeks
74-.00927 .01592 (74*2π)/2533 weeks
75.01514 -.01386 (75*2π)/2533 weeks
76-.02881 .01293 (76*2π)/2533 weeks
77.01094 -.00569 (77*2π)/2533 weeks
78-.01773 -.00534 (78*2π)/2533 weeks
79.01457 .0069 (79*2π)/2533 weeks
80-.01652 -.00801 (80*2π)/2533 weeks
81-.00845 .00786 (81*2π)/2533 weeks
82-.01188 -.01311 (82*2π)/2533 weeks
83.00733 .01499 (83*2π)/2533 weeks
84-.00759 .00505 (84*2π)/2533 weeks
85-.00978 .00629 (85*2π)/2533 weeks
86.01146 -.01605 (86*2π)/2533 weeks
87.00234 .01802 (87*2π)/2533 weeks
88-.00198 .00831 (88*2π)/2533 weeks
89-.01175 -.00433 (89*2π)/2533 weeks
90-.00217 -.01039 (90*2π)/2533 weeks
91-.01086 .00938 (91*2π)/2533 weeks
92.00045 -.00288 (92*2π)/2533 weeks
93-.01474 .00184 (93*2π)/2533 weeks
94.0087 .00043 (94*2π)/2533 weeks
95.00321 .0017 (95*2π)/2533 weeks
96.00257 -.00151 (96*2π)/2533 weeks
97-.01555 .00131 (97*2π)/2533 weeks
98.00851 .00029 (98*2π)/2533 weeks
99-.00568 -.0012 (99*2π)/2533 weeks
100.00161 -.00036 (100*2π)/2533 weeks
101-.0103 -.01646 (101*2π)/2533 weeks
102-.00771 .00673 (102*2π)/2532 weeks
103.01112 -.01435 (103*2π)/2532 weeks
104-.01444 .00121 (104*2π)/2532 weeks
105-.00052 -.0095 (105*2π)/2532 weeks
106-.00471 .00868 (106*2π)/2532 weeks
107.01496 -.00768 (107*2π)/2532 weeks
108-.01062 -.00864 (108*2π)/2532 weeks
109.02089 .00345 (109*2π)/2532 weeks
110.00099 -.01867 (110*2π)/2532 weeks
111.00367 .01239 (111*2π)/2532 weeks
112.00485 -.01302 (112*2π)/2532 weeks
113-.00362 .00434 (113*2π)/2532 weeks
114.02356 -.02066 (114*2π)/2532 weeks
115.00575 .00729 (115*2π)/2532 weeks
116.01456 -.00212 (116*2π)/2532 weeks
117-.00636 -.00754 (117*2π)/2532 weeks
118.01467 -.00368 (118*2π)/2532 weeks
119.0056 -.00104 (119*2π)/2532 weeks
120.02063 -.00048 (120*2π)/2532 weeks
121-.02637 -.0176 (121*2π)/2532 weeks
122.02222 .00514 (122*2π)/2532 weeks
123.00687 -.00619 (123*2π)/2532 weeks
124.00153 .01451 (124*2π)/2532 weeks
125-.00517 -.01291 (125*2π)/2532 weeks
126.00215 .01034 (126*2π)/2532 weeks
127.00215 -.01034 (127*2π)/2532 weeks
128-.00517 .01291 (128*2π)/2532 weeks
129.00153 -.01451 (129*2π)/2532 weeks
130.00687 .00619 (130*2π)/2532 weeks
131.02222 -.00514 (131*2π)/2532 weeks
132-.02637 .0176 (132*2π)/2532 weeks
133.02063 .00048 (133*2π)/2532 weeks
134.0056 .00104 (134*2π)/2532 weeks
135.01467 .00368 (135*2π)/2532 weeks
136-.00636 .00754 (136*2π)/2532 weeks
137.01456 .00212 (137*2π)/2532 weeks
138.00575 -.00729 (138*2π)/2532 weeks
139.02356 .02066 (139*2π)/2532 weeks
140-.00362 -.00434 (140*2π)/2532 weeks
141.00485 .01302 (141*2π)/2532 weeks
142.00367 -.01239 (142*2π)/2532 weeks
143.00099 .01867 (143*2π)/2532 weeks
144.02089 -.00345 (144*2π)/2532 weeks
145-.01062 .00864 (145*2π)/2532 weeks
146.01496 .00768 (146*2π)/2532 weeks
147-.00471 -.00868 (147*2π)/2532 weeks
148-.00052 .0095 (148*2π)/2532 weeks
149-.01444 -.00121 (149*2π)/2532 weeks
150.01112 .01435 (150*2π)/2532 weeks
151-.00771 -.00673 (151*2π)/2532 weeks
152-.0103 .01646 (152*2π)/2532 weeks
153.00161 .00036 (153*2π)/2532 weeks
154-.00568 .0012 (154*2π)/2532 weeks
155.00851 -.00029 (155*2π)/2532 weeks
156-.01555 -.00131 (156*2π)/2532 weeks
157.00257 .00151 (157*2π)/2532 weeks
158.00321 -.0017 (158*2π)/2532 weeks
159.0087 -.00043 (159*2π)/2532 weeks
160-.01474 -.00184 (160*2π)/2532 weeks
161.00045 .00288 (161*2π)/2532 weeks
162-.01086 -.00938 (162*2π)/2532 weeks
163-.00217 .01039 (163*2π)/2532 weeks
164-.01175 .00433 (164*2π)/2532 weeks
165-.00198 -.00831 (165*2π)/2532 weeks
166.00234 -.01802 (166*2π)/2532 weeks
167.01146 .01605 (167*2π)/2532 weeks
168-.00978 -.00629 (168*2π)/2532 weeks
169-.00759 -.00505 (169*2π)/2531 weeks
170.00733 -.01499 (170*2π)/2531 weeks
171-.01188 .01311 (171*2π)/2531 weeks
172-.00845 -.00786 (172*2π)/2531 weeks
173-.01652 .00801 (173*2π)/2531 weeks
174.01457 -.0069 (174*2π)/2531 weeks
175-.01773 .00534 (175*2π)/2531 weeks
176.01094 .00569 (176*2π)/2531 weeks
177-.02881 -.01293 (177*2π)/2531 weeks
178.01514 .01386 (178*2π)/2531 weeks
179-.00927 -.01592 (179*2π)/2531 weeks
180-.00862 .02391 (180*2π)/2531 weeks
181.00939 -.02702 (181*2π)/2531 weeks
182-.00776 .01334 (182*2π)/2531 weeks
183.02574 -.01574 (183*2π)/2531 weeks
184-.01293 .01568 (184*2π)/2531 weeks
185.01123 .00805 (185*2π)/2531 weeks
186-.01451 .00786 (186*2π)/2531 weeks
187.0171 .00469 (187*2π)/2531 weeks
188-.03015 -.01018 (188*2π)/2531 weeks
189.01563 .01581 (189*2π)/2531 weeks
190-.00978 .01032 (190*2π)/2531 weeks
191-.00347 .02737 (191*2π)/2531 weeks
192.03124 .00433 (192*2π)/2531 weeks
193.00132 .02135 (193*2π)/2531 weeks
194.00217 .00191 (194*2π)/2531 weeks
195.00143 .02585 (195*2π)/2531 weeks
196.00048 -.00721 (196*2π)/2531 weeks
197-.01212 -.00688 (197*2π)/2531 weeks
198.01047 .00263 (198*2π)/2531 weeks
199-.00751 .01015 (199*2π)/2531 weeks
200.0038 .00222 (200*2π)/2531 weeks
201-.00661 .01356 (201*2π)/2531 weeks
202.01299 .00615 (202*2π)/2531 weeks
203-.02962 .00509 (203*2π)/2531 weeks
204-.02276 .00211 (204*2π)/2531 weeks
205-.01685 -.01755 (205*2π)/2531 weeks
206.02325 .00791 (206*2π)/2531 weeks
207-.00294 -.0112 (207*2π)/2531 weeks
208-.02258 .01785 (208*2π)/2531 weeks
209.02681 -.00617 (209*2π)/2531 weeks
210-.01234 .0043 (210*2π)/2531 weeks
211.00216 -.00553 (211*2π)/2531 weeks
212-.00255 -.0008 (212*2π)/2531 weeks
213.03231 .01316 (213*2π)/2531 weeks
214-.03774 -.0055 (214*2π)/2531 weeks
215.0023 .03258 (215*2π)/2531 weeks
216-.00998 -.0147 (216*2π)/2531 weeks
217.0219 .02422 (217*2π)/2531 weeks
218-.00814 .00079 (218*2π)/2531 weeks
219-.01372 .0194 (219*2π)/2531 weeks
220.02962 -.00867 (220*2π)/2531 weeks
221.00203 .00177 (221*2π)/2531 weeks
222.01379 .00894 (222*2π)/2531 weeks
223-.03803 -.00733 (223*2π)/2531 weeks
224-.00141 .00929 (224*2π)/2531 weeks
225-.01014 .01326 (225*2π)/2531 weeks
226.0193 -.01717 (226*2π)/2531 weeks
227-.02873 .00843 (227*2π)/2531 weeks
228-.00161 -.00791 (228*2π)/2531 weeks
229.03929 .00094 (229*2π)/2531 weeks
230.04103 .03868 (230*2π)/2531 weeks
231.00401 -.01979 (231*2π)/2531 weeks
232.02429 .01482 (232*2π)/2531 weeks
233.01518 -.00004 (233*2π)/2531 weeks
234-.03405 -.00214 (234*2π)/2531 weeks
235-.0404 -.00369 (235*2π)/2531 weeks
236-.00009 .0306 (236*2π)/2531 weeks
237-.03185 .0583 (237*2π)/2531 weeks
238-.00004 -.02255 (238*2π)/2531 weeks
239.02577 .02167 (239*2π)/2531 weeks
240-.00578 -.03774 (240*2π)/2531 weeks
241-.04881 .16082 (241*2π)/2531 weeks
242-.00791 .04754 (242*2π)/2531 weeks
243.00432 .02855 (243*2π)/2531 weeks
244.04213 .10427 (244*2π)/2531 weeks
245-.07074 .0665 (245*2π)/2531 weeks
246.07135 -.04035 (246*2π)/2531 weeks
247.04017 .09101 (247*2π)/2531 weeks
248.0067 -.2275 (248*2π)/2531 weeks
249-.11413 .17884 (249*2π)/2531 weeks
250-.15815 -.05404 (250*2π)/2531 weeks
251-.05552 -.0596 (251*2π)/2531 weeks

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