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Fourier Analysis of SALE (RetailMeNot Inc)


SALE (RetailMeNot Inc) appears to have interesting cyclic behaviour every 18 weeks (.6664*sine), 17 weeks (.5617*cosine), and 8 weeks (.3548*cosine).

SALE (RetailMeNot Inc) has an average price of 17.25 (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 7/19/2013 to 5/22/2017 for SALE (RetailMeNot Inc), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
017.25139   0 
14.75032 10.01013 (1*2π)/202202 weeks
2.92949 5.06122 (2*2π)/202101 weeks
3-2.722 3.13953 (3*2π)/20267 weeks
4.43729 .19559 (4*2π)/20251 weeks
5.64161 1.93084 (5*2π)/20240 weeks
61.29327 .60271 (6*2π)/20234 weeks
7.0036 1.94883 (7*2π)/20229 weeks
8-.05976 1.32644 (8*2π)/20225 weeks
9-1.0162 1.42274 (9*2π)/20222 weeks
10-.40947 .32911 (10*2π)/20220 weeks
11-.42783 -.66639 (11*2π)/20218 weeks
12.56167 -.32198 (12*2π)/20217 weeks
13.20385 .54643 (13*2π)/20216 weeks
14.19407 .43923 (14*2π)/20214 weeks
15.06625 .33953 (15*2π)/20213 weeks
16.02306 .47101 (16*2π)/20213 weeks
17-.24774 .03154 (17*2π)/20212 weeks
18-.14044 .02354 (18*2π)/20211 weeks
19.2452 .07054 (19*2π)/20211 weeks
20.13679 .46369 (20*2π)/20210 weeks
21.09122 .31585 (21*2π)/20210 weeks
22-.3306 .40916 (22*2π)/2029 weeks
23-.13271 -.07452 (23*2π)/2029 weeks
24.2428 .20616 (24*2π)/2028 weeks
25.35476 .31939 (25*2π)/2028 weeks
26-.07998 .37037 (26*2π)/2028 weeks
27.19074 .32327 (27*2π)/2027 weeks
28-.21673 .45778 (28*2π)/2027 weeks
29.02122 .01877 (29*2π)/2027 weeks
30.07658 .04914 (30*2π)/2027 weeks
31.19641 .34934 (31*2π)/2027 weeks
32-.14089 .07478 (32*2π)/2026 weeks
33.14261 .00947 (33*2π)/2026 weeks
34.28688 .2254 (34*2π)/2026 weeks
35.03979 .22518 (35*2π)/2026 weeks
36-.1206 .00021 (36*2π)/2026 weeks
37.02894 .14282 (37*2π)/2025 weeks
38.17065 -.02723 (38*2π)/2025 weeks
39.0033 .10479 (39*2π)/2025 weeks
40.03313 .00205 (40*2π)/2025 weeks
41-.06875 -.02398 (41*2π)/2025 weeks
42.18948 -.05177 (42*2π)/2025 weeks
43.15041 .24027 (43*2π)/2025 weeks
44.00454 -.00997 (44*2π)/2025 weeks
45.03675 -.11764 (45*2π)/2024 weeks
46.22694 .10515 (46*2π)/2024 weeks
47-.09454 .11773 (47*2π)/2024 weeks
48.09831 -.01394 (48*2π)/2024 weeks
49.24251 .25522 (49*2π)/2024 weeks
50-.09648 .15893 (50*2π)/2024 weeks
51-.11208 -.01526 (51*2π)/2024 weeks
52.10454 -.05176 (52*2π)/2024 weeks
53.05284 -.04505 (53*2π)/2024 weeks
54.09741 .06691 (54*2π)/2024 weeks
55.15396 -.04163 (55*2π)/2024 weeks
56.18463 .14897 (56*2π)/2024 weeks
57.30487 .0399 (57*2π)/2024 weeks
58.15101 .19134 (58*2π)/2023 weeks
59.04673 -.03832 (59*2π)/2023 weeks
60.21908 .0123 (60*2π)/2023 weeks
61.21479 .13548 (61*2π)/2023 weeks
62.09643 .13959 (62*2π)/2023 weeks
63.07887 .03912 (63*2π)/2023 weeks
64.21491 .07994 (64*2π)/2023 weeks
65.04773 .13988 (65*2π)/2023 weeks
66.03367 .05528 (66*2π)/2023 weeks
67.15638 .08587 (67*2π)/2023 weeks
68.01636 .03049 (68*2π)/2023 weeks
69.08059 .06691 (69*2π)/2023 weeks
70.02625 -.037 (70*2π)/2023 weeks
71.11804 .02978 (71*2π)/2023 weeks
72.11295 .03438 (72*2π)/2023 weeks
73.08247 .16971 (73*2π)/2023 weeks
74.04992 .06389 (74*2π)/2023 weeks
75.01756 .12231 (75*2π)/2023 weeks
76-.00024 .13694 (76*2π)/2023 weeks
77-.13948 .09142 (77*2π)/2023 weeks
78-.05829 -.11686 (78*2π)/2023 weeks
79.09482 -.02867 (79*2π)/2023 weeks
80.0643 -.02979 (80*2π)/2023 weeks
81.10617 .07028 (81*2π)/2022 weeks
82.11087 .03566 (82*2π)/2022 weeks
83-.03572 .04967 (83*2π)/2022 weeks
84.17053 -.04178 (84*2π)/2022 weeks
85.10487 -.05777 (85*2π)/2022 weeks
86.17047 .0543 (86*2π)/2022 weeks
87.0193 -.01849 (87*2π)/2022 weeks
88.13724 .07643 (88*2π)/2022 weeks
89.06128 -.11625 (89*2π)/2022 weeks
90.26213 -.00306 (90*2π)/2022 weeks
91.12711 .09201 (91*2π)/2022 weeks
92-.04102 -.07325 (92*2π)/2022 weeks
93.21634 -.09073 (93*2π)/2022 weeks
94.18551 .12362 (94*2π)/2022 weeks
95-.02526 .0731 (95*2π)/2022 weeks
96-.04909 -.06268 (96*2π)/2022 weeks
97.15364 -.15044 (97*2π)/2022 weeks
98.06432 .00744 (98*2π)/2022 weeks
99.21934 -.0002 (99*2π)/2022 weeks
100-.02526 .11989 (100*2π)/2022 weeks
101-.0098   (101*2π)/2022 weeks
102-.02526 -.11989 (102*2π)/2022 weeks
103.21934 .0002 (103*2π)/2022 weeks
104.06432 -.00744 (104*2π)/2022 weeks
105.15364 .15044 (105*2π)/2022 weeks
106-.04909 .06268 (106*2π)/2022 weeks
107-.02526 -.0731 (107*2π)/2022 weeks
108.18551 -.12362 (108*2π)/2022 weeks
109.21634 .09073 (109*2π)/2022 weeks
110-.04102 .07325 (110*2π)/2022 weeks
111.12711 -.09201 (111*2π)/2022 weeks
112.26213 .00306 (112*2π)/2022 weeks
113.06128 .11625 (113*2π)/2022 weeks
114.13724 -.07643 (114*2π)/2022 weeks
115.0193 .01849 (115*2π)/2022 weeks
116.17047 -.0543 (116*2π)/2022 weeks
117.10487 .05777 (117*2π)/2022 weeks
118.17053 .04178 (118*2π)/2022 weeks
119-.03572 -.04967 (119*2π)/2022 weeks
120.11087 -.03566 (120*2π)/2022 weeks
121.10617 -.07028 (121*2π)/2022 weeks
122.0643 .02979 (122*2π)/2022 weeks
123.09482 .02867 (123*2π)/2022 weeks
124-.05829 .11686 (124*2π)/2022 weeks
125-.13948 -.09142 (125*2π)/2022 weeks
126-.00024 -.13694 (126*2π)/2022 weeks
127.01756 -.12231 (127*2π)/2022 weeks
128.04992 -.06389 (128*2π)/2022 weeks
129.08247 -.16971 (129*2π)/2022 weeks
130.11295 -.03438 (130*2π)/2022 weeks
131.11804 -.02978 (131*2π)/2022 weeks
132.02625 .037 (132*2π)/2022 weeks
133.08059 -.06691 (133*2π)/2022 weeks
134.01636 -.03049 (134*2π)/2022 weeks
135.15638 -.08587 (135*2π)/2021 weeks
136.03367 -.05528 (136*2π)/2021 weeks
137.04773 -.13988 (137*2π)/2021 weeks
138.21491 -.07994 (138*2π)/2021 weeks
139.07887 -.03912 (139*2π)/2021 weeks
140.09643 -.13959 (140*2π)/2021 weeks
141.21479 -.13548 (141*2π)/2021 weeks
142.21908 -.0123 (142*2π)/2021 weeks
143.04673 .03832 (143*2π)/2021 weeks
144.15101 -.19134 (144*2π)/2021 weeks
145.30487 -.0399 (145*2π)/2021 weeks
146.18463 -.14897 (146*2π)/2021 weeks
147.15396 .04163 (147*2π)/2021 weeks
148.09741 -.06691 (148*2π)/2021 weeks
149.05284 .04505 (149*2π)/2021 weeks
150.10454 .05176 (150*2π)/2021 weeks
151-.11208 .01526 (151*2π)/2021 weeks
152-.09648 -.15893 (152*2π)/2021 weeks
153.24251 -.25522 (153*2π)/2021 weeks
154.09831 .01394 (154*2π)/2021 weeks
155-.09454 -.11773 (155*2π)/2021 weeks
156.22694 -.10515 (156*2π)/2021 weeks
157.03675 .11764 (157*2π)/2021 weeks
158.00454 .00997 (158*2π)/2021 weeks
159.15041 -.24027 (159*2π)/2021 weeks
160.18948 .05177 (160*2π)/2021 weeks
161-.06875 .02398 (161*2π)/2021 weeks
162.03313 -.00205 (162*2π)/2021 weeks
163.0033 -.10479 (163*2π)/2021 weeks
164.17065 .02723 (164*2π)/2021 weeks
165.02894 -.14282 (165*2π)/2021 weeks
166-.1206 -.00021 (166*2π)/2021 weeks
167.03979 -.22518 (167*2π)/2021 weeks
168.28688 -.2254 (168*2π)/2021 weeks
169.14261 -.00947 (169*2π)/2021 weeks
170-.14089 -.07478 (170*2π)/2021 weeks
171.19641 -.34934 (171*2π)/2021 weeks
172.07658 -.04914 (172*2π)/2021 weeks
173.02122 -.01877 (173*2π)/2021 weeks
174-.21673 -.45778 (174*2π)/2021 weeks
175.19074 -.32327 (175*2π)/2021 weeks
176-.07998 -.37037 (176*2π)/2021 weeks
177.35476 -.31939 (177*2π)/2021 weeks
178.2428 -.20616 (178*2π)/2021 weeks
179-.13271 .07452 (179*2π)/2021 weeks
180-.3306 -.40916 (180*2π)/2021 weeks
181.09122 -.31585 (181*2π)/2021 weeks
182.13679 -.46369 (182*2π)/2021 weeks
183.2452 -.07054 (183*2π)/2021 weeks
184-.14044 -.02354 (184*2π)/2021 weeks
185-.24774 -.03154 (185*2π)/2021 weeks
186.02306 -.47101 (186*2π)/2021 weeks
187.06625 -.33953 (187*2π)/2021 weeks
188.19407 -.43923 (188*2π)/2021 weeks
189.20385 -.54643 (189*2π)/2021 weeks
190.56167 .32198 (190*2π)/2021 weeks
191-.42783 .66639 (191*2π)/2021 weeks
192-.40947 -.32911 (192*2π)/2021 weeks
193-1.0162 -1.42274 (193*2π)/2021 weeks
194-.05976 -1.32644 (194*2π)/2021 weeks
195.0036 -1.94883 (195*2π)/2021 weeks
1961.29327 -.60271 (196*2π)/2021 weeks
197.64161 -1.93084 (197*2π)/2021 weeks
198.43729 -.19559 (198*2π)/2021 weeks
199-2.722 -3.13953 (199*2π)/2021 weeks
200.92949 -5.06122 (200*2π)/2021 weeks



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