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Fourier Analysis of PNTR (Pointer Telocation Ltd.)


PNTR (Pointer Telocation Ltd.) appears to have interesting cyclic behaviour every 98 weeks (87.0182*cosine), 91 weeks (83.974*sine), and 118 weeks (58.1465*cosine).

PNTR (Pointer Telocation Ltd.) has an average price of 375.9 (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 6/17/1994 to 1/17/2017 for PNTR (Pointer Telocation Ltd.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0375.9008   0 
1408.8459 490.0217 (1*2π)/11791,179 weeks
2-44.97318 395.8521 (2*2π)/1179590 weeks
3-98.31613 116.4747 (3*2π)/1179393 weeks
412.18453 58.94548 (4*2π)/1179295 weeks
517.01254 94.88979 (5*2π)/1179236 weeks
6-6.33848 77.703 (6*2π)/1179197 weeks
75.88027 68.5373 (7*2π)/1179168 weeks
8-12.4132 84.74635 (8*2π)/1179147 weeks
9-62.24707 59.00771 (9*2π)/1179131 weeks
10-58.14645 -26.11244 (10*2π)/1179118 weeks
1139.32508 -53.82953 (11*2π)/1179107 weeks
1287.0182 34.74877 (12*2π)/117998 weeks
1318.13956 83.97397 (13*2π)/117991 weeks
14-18.01373 35.00974 (14*2π)/117984 weeks
1517.64213 14.72976 (15*2π)/117979 weeks
1630.31762 48.90546 (16*2π)/117974 weeks
17-5.26048 64.41615 (17*2π)/117969 weeks
18-27.46356 37.13774 (18*2π)/117966 weeks
19-14.13335 16.09264 (19*2π)/117962 weeks
20-2.96537 19.95241 (20*2π)/117959 weeks
21-6.29803 21.27843 (21*2π)/117956 weeks
22-.91014 13.11508 (22*2π)/117954 weeks
2312.56624 25.44896 (23*2π)/117951 weeks
24-7.39923 46.80554 (24*2π)/117949 weeks
25-39.90899 25.91499 (25*2π)/117947 weeks
26-28.86252 -17.19476 (26*2π)/117945 weeks
2719.7988 -20.94275 (27*2π)/117944 weeks
2836.39551 26.84555 (28*2π)/117942 weeks
29-6.0072 52.13918 (29*2π)/117941 weeks
30-34.92219 18.11724 (30*2π)/117939 weeks
31-11.79081 -9.32302 (31*2π)/117938 weeks
3210.82098 5.92337 (32*2π)/117937 weeks
33-2.64824 21.82614 (33*2π)/117936 weeks
34-12.38707 6.60906 (34*2π)/117935 weeks
357.12571 1.71196 (35*2π)/117934 weeks
368.59352 26.98222 (36*2π)/117933 weeks
37-22.6802 28.63891 (37*2π)/117932 weeks
38-28.84989 -6.25926 (38*2π)/117931 weeks
396.02139 -18.10645 (39*2π)/117930 weeks
4021.05009 14.11761 (40*2π)/117929 weeks
41-6.79484 30.35742 (41*2π)/117929 weeks
42-22.78019 8.66255 (42*2π)/117928 weeks
43-7.06816 -5.15914 (43*2π)/117927 weeks
442.59408 8.35172 (44*2π)/117927 weeks
45-14.34263 15.21605 (45*2π)/117926 weeks
46-22.46502 -6.614 (46*2π)/117926 weeks
47-.15495 -17.23603 (47*2π)/117925 weeks
489.70779 1.25696 (48*2π)/117925 weeks
49-5.89282 5.97525 (49*2π)/117924 weeks
50-4.5272 -10.76144 (50*2π)/117924 weeks
5114.07123 -6.19026 (51*2π)/117923 weeks
529.20028 10.38813 (52*2π)/117923 weeks
53-2.25931 5.667 (53*2π)/117922 weeks
543.00845 -.91487 (54*2π)/117922 weeks
557.35684 5.20605 (55*2π)/117921 weeks
56.75954 9.70609 (56*2π)/117921 weeks
57-4.61562 2.64651 (57*2π)/117921 weeks
582.57587 -4.1202 (58*2π)/117920 weeks
5911.71731 1.72672 (59*2π)/117920 weeks
608.881 12.94483 (60*2π)/117920 weeks
61-1.64476 13.46103 (61*2π)/117919 weeks
62-3.06448 7.22415 (62*2π)/117919 weeks
63-.55719 9.58306 (63*2π)/117919 weeks
64-9.59328 12.99012 (64*2π)/117918 weeks
65-18.38837 .73581 (65*2π)/117918 weeks
66-9.19148 -13.56395 (66*2π)/117918 weeks
675.20497 -9.44445 (67*2π)/117918 weeks
681.56564 .35644 (68*2π)/117917 weeks
69-5.01306 -8.68376 (69*2π)/117917 weeks
709.43385 -17.29943 (70*2π)/117917 weeks
7122.61669 -3.16813 (71*2π)/117917 weeks
7213.03033 11.6252 (72*2π)/117916 weeks
73.87533 4.89487 (73*2π)/117916 weeks
749.83091 -4.43029 (74*2π)/117916 weeks
7519.3847 9.06727 (75*2π)/117916 weeks
763.44116 21.60794 (76*2π)/117916 weeks
77-11.88957 5.78045 (77*2π)/117915 weeks
783.035 -10.54102 (78*2π)/117915 weeks
7919.41512 3.2998 (79*2π)/117915 weeks
806.99384 18.71494 (80*2π)/117915 weeks
81-5.23066 7.8298 (81*2π)/117915 weeks
825.04663 .12018 (82*2π)/117914 weeks
8310.01518 11.41183 (83*2π)/117914 weeks
84-2.32871 17.01821 (84*2π)/117914 weeks
85-10.08251 6.28124 (85*2π)/117914 weeks
86-3.63626 -2.32193 (86*2π)/117914 weeks
872.53984 -.47649 (87*2π)/117914 weeks
882.80217 .74772 (88*2π)/117913 weeks
896.34846 -.34358 (89*2π)/117913 weeks
9011.40835 4.97558 (90*2π)/117913 weeks
918.24486 13.7823 (91*2π)/117913 weeks
92-.78143 14.84711 (92*2π)/117913 weeks
93-3.93735 9.19799 (93*2π)/117913 weeks
94-1.61156 8.56773 (94*2π)/117913 weeks
95-6.0009 11.10933 (95*2π)/117912 weeks
96-12.27943 3.96517 (96*2π)/117912 weeks
97-6.66629 -6.10862 (97*2π)/117912 weeks
984.45843 -2.9162 (98*2π)/117912 weeks
991.30355 6.74531 (99*2π)/117912 weeks
100-7.01871 1.48836 (100*2π)/117912 weeks
101.17713 -6.63847 (101*2π)/117912 weeks
1028.0972 .98712 (102*2π)/117912 weeks
1031.16311 7.56112 (103*2π)/117911 weeks
104-4.53704 1.48445 (104*2π)/117911 weeks
105.89171 -4.50698 (105*2π)/117911 weeks
1067.52668 -.39665 (106*2π)/117911 weeks
1075.84135 5.95416 (107*2π)/117911 weeks
1081.68074 6.07597 (108*2π)/117911 weeks
1091.53155 5.35116 (109*2π)/117911 weeks
110.42579 6.98068 (110*2π)/117911 weeks
111-4.23723 6.69168 (111*2π)/117911 weeks
112-5.83581 .42788 (112*2π)/117911 weeks
113-.59545 -2.07216 (113*2π)/117910 weeks
1141.01592 1.30535 (114*2π)/117910 weeks
115-1.34122 1.32775 (115*2π)/117910 weeks
116-.90831 -.89529 (116*2π)/117910 weeks
117.85177 -1.62666 (117*2π)/117910 weeks
1182.56296 -1.01868 (118*2π)/117910 weeks
1192.73888 .0716 (119*2π)/117910 weeks
1202.35151 -.04707 (120*2π)/117910 weeks
1214.44183 -1.23064 (121*2π)/117910 weeks
1227.5643 3.17073 (122*2π)/117910 weeks
1232.07928 8.17434 (123*2π)/117910 weeks
124-3.44722 2.31582 (124*2π)/117910 weeks
1252.59726 -2.39123 (125*2π)/11799 weeks
1266.03625 4.10642 (126*2π)/11799 weeks
127-1.80643 6.88749 (127*2π)/11799 weeks
128-5.02188 -3.14435 (128*2π)/11799 weeks
1297.38547 -7.69011 (129*2π)/11799 weeks
13014.18678 5.87295 (130*2π)/11799 weeks
1311.40909 14.75613 (131*2π)/11799 weeks
132-7.86637 4.20223 (132*2π)/11799 weeks
133.92276 -3.35782 (133*2π)/11799 weeks
1345.61057 6.09386 (134*2π)/11799 weeks
135-7.13318 8.0849 (135*2π)/11799 weeks
136-7.87253 -8.00536 (136*2π)/11799 weeks
1379.71619 -9.465 (137*2π)/11799 weeks
13812.95225 7.35729 (138*2π)/11799 weeks
139-1.73456 12.14657 (139*2π)/11798 weeks
140-7.24633 -.15999 (140*2π)/11798 weeks
1413.17807 -5.6074 (141*2π)/11798 weeks
1428.26674 3.41852 (142*2π)/11798 weeks
143.62018 8.2097 (143*2π)/11798 weeks
144-3.85821 2.16546 (144*2π)/11798 weeks
145.71632 -1.52046 (145*2π)/11798 weeks
1463.27866 2.4413 (146*2π)/11798 weeks
147-1.10558 4.15105 (147*2π)/11798 weeks
148-2.88389 -.82997 (148*2π)/11798 weeks
1492.13397 -2.94354 (149*2π)/11798 weeks
1503.97876 1.77096 (150*2π)/11798 weeks
151-1.54012 2.65414 (151*2π)/11798 weeks
152-1.58359 -5.097 (152*2π)/11798 weeks
1538.43455 -5.62254 (153*2π)/11798 weeks
15410.76201 5.17321 (154*2π)/11798 weeks
155.81672 9.2015 (155*2π)/11798 weeks
156-3.61513 .94006 (156*2π)/11798 weeks
1573.29368 -2.86552 (157*2π)/11798 weeks
1585.96424 3.63175 (158*2π)/11797 weeks
159-.69414 5.13577 (159*2π)/11797 weeks
160-1.3226 -1.82614 (160*2π)/11797 weeks
1616.00782 -1.93935 (161*2π)/11797 weeks
1625.76039 5.61324 (162*2π)/11797 weeks
163-1.61908 4.92619 (163*2π)/11797 weeks
164-.32845 -1.80225 (164*2π)/11797 weeks
1655.79834 .2369 (165*2π)/11797 weeks
1663.08563 6.46285 (166*2π)/11797 weeks
167-4.33011 3.80582 (167*2π)/11797 weeks
168-2.98366 -5.54951 (168*2π)/11797 weeks
1697.41323 -6.88005 (169*2π)/11797 weeks
17011.62057 2.43794 (170*2π)/11797 weeks
1715.19419 7.66839 (171*2π)/11797 weeks
1721.76908 4.04136 (172*2π)/11797 weeks
1734.64054 4.34915 (173*2π)/11797 weeks
1741.32496 8.89378 (174*2π)/11797 weeks
175-5.92622 4.64781 (175*2π)/11797 weeks
176-2.49702 -4.52227 (176*2π)/11797 weeks
1776.95861 -2.71629 (177*2π)/11797 weeks
1786.7117 5.97717 (178*2π)/11797 weeks
179-.90215 6.84298 (179*2π)/11797 weeks
180-2.20793 .4192 (180*2π)/11797 weeks
1813.27686 -.66381 (181*2π)/11797 weeks
1823.54693 4.47161 (182*2π)/11796 weeks
183-1.43966 3.63345 (183*2π)/11796 weeks
184.13168 -1.33123 (184*2π)/11796 weeks
1855.29451 .54728 (185*2π)/11796 weeks
1863.20713 5.97732 (186*2π)/11796 weeks
187-1.99623 4.21515 (187*2π)/11796 weeks
188-.65735 -.06297 (188*2π)/11796 weeks
1891.95045 1.66993 (189*2π)/11796 weeks
190-1.14188 2.19841 (190*2π)/11796 weeks
191-.36641 -2.46257 (191*2π)/11796 weeks
1925.15611 -1.49561 (192*2π)/11796 weeks
1934.37534 3.82421 (193*2π)/11796 weeks
194-.37911 3.0656 (194*2π)/11796 weeks
195.51285 -1.42179 (195*2π)/11796 weeks
1965.16099 -.80445 (196*2π)/11796 weeks
1975.34257 3.65733 (197*2π)/11796 weeks
1981.67065 4.81204 (198*2π)/11796 weeks
199-.11067 1.55814 (199*2π)/11796 weeks
2003.45617 -.56708 (200*2π)/11796 weeks
2016.47561 3.67261 (201*2π)/11796 weeks
2022.18887 8.19326 (202*2π)/11796 weeks
203-3.39528 4.90098 (203*2π)/11796 weeks
204-1.67497 -.37339 (204*2π)/11796 weeks
2052.16025 .47863 (205*2π)/11796 weeks
206.83611 2.38536 (206*2π)/11796 weeks
207.43618 -.05904 (207*2π)/11796 weeks
2083.93793 -.02874 (208*2π)/11796 weeks
2094.47493 4.22558 (209*2π)/11796 weeks
210.099 5.74274 (210*2π)/11796 weeks
211-2.53062 1.99059 (211*2π)/11796 weeks
212.06358 -1.26473 (212*2π)/11796 weeks
2132.92644 -.00549 (213*2π)/11796 weeks
2142.65249 1.8879 (214*2π)/11796 weeks
2151.44835 1.53253 (215*2π)/11795 weeks
2162.76375 .09939 (216*2π)/11795 weeks
2175.34744 1.87107 (217*2π)/11795 weeks
2184.53982 5.88285 (218*2π)/11795 weeks
219.15574 6.77151 (219*2π)/11795 weeks
220-2.01431 3.39915 (220*2π)/11795 weeks
221.20358 1.20913 (221*2π)/11795 weeks
2221.5897 3.2518 (222*2π)/11795 weeks
223-.68903 4.10348 (223*2π)/11795 weeks
224-1.48181 2.28323 (224*2π)/11795 weeks
225-.83747 2.06673 (225*2π)/11795 weeks
226-2.14444 1.95821 (226*2π)/11795 weeks
227-2.72025 -.98104 (227*2π)/11795 weeks
228.93433 -2.88156 (228*2π)/11795 weeks
2293.16439 .61998 (229*2π)/11795 weeks
230-.30518 2.04743 (230*2π)/11795 weeks
231-1.24798 -2.04746 (231*2π)/11795 weeks
2323.4928 -3.84003 (232*2π)/11795 weeks
2336.77398 .52922 (233*2π)/11795 weeks
2344.08196 4.33922 (234*2π)/11795 weeks
2351.06758 3.41698 (235*2π)/11795 weeks
2361.4625 1.99018 (236*2π)/11795 weeks
2371.61208 2.8757 (237*2π)/11795 weeks
238-.21069 2.57789 (238*2π)/11795 weeks
239.03317 .11342 (239*2π)/11795 weeks
2402.84295 .24421 (240*2π)/11795 weeks
2412.67786 3.12485 (241*2π)/11795 weeks
242.02555 3.09311 (242*2π)/11795 weeks
243.003 .91407 (243*2π)/11795 weeks
2441.33896 1.17409 (244*2π)/11795 weeks
245.35562 1.88003 (245*2π)/11795 weeks
246-.58688 -.18254 (246*2π)/11795 weeks
2472.36929 -2.20587 (247*2π)/11795 weeks
2485.85561 .52434 (248*2π)/11795 weeks
2494.46698 5.3376 (249*2π)/11795 weeks
250-.81084 5.57647 (250*2π)/11795 weeks
251-2.11741 .7026 (251*2π)/11795 weeks
2521.92889 -.80168 (252*2π)/11795 weeks
2533.01623 2.77426 (253*2π)/11795 weeks
254-.59039 3.25318 (254*2π)/11795 weeks
255-.60385 -.81261 (255*2π)/11795 weeks
2564.17117 -.49432 (256*2π)/11795 weeks
2573.51067 4.88029 (257*2π)/11795 weeks
258-2.06749 4.09397 (258*2π)/11795 weeks
259-1.43357 -1.45278 (259*2π)/11795 weeks
2604.01077 -.92895 (260*2π)/11795 weeks
2613.53149 4.336 (261*2π)/11795 weeks
262-1.68843 3.85362 (262*2π)/11795 weeks
263-1.14638 -1.49829 (263*2π)/11794 weeks
2644.3014 -.91738 (264*2π)/11794 weeks
2653.693 4.54798 (265*2π)/11794 weeks
266-1.53911 3.67245 (266*2π)/11794 weeks
267.05065 -1.04542 (267*2π)/11794 weeks
2684.20113 1.37347 (268*2π)/11794 weeks
2691.15023 5.3121 (269*2π)/11794 weeks
270-2.8395 1.76854 (270*2π)/11794 weeks
2711.14842 -2.35159 (271*2π)/11794 weeks
2725.30351 2.11107 (272*2π)/11794 weeks
273.49443 6.10101 (273*2π)/11794 weeks
274-2.89591 1.18906 (274*2π)/11794 weeks
2751.98939 -1.35431 (275*2π)/11794 weeks
2763.93476 3.83465 (276*2π)/11794 weeks
277-1.61816 5.64747 (277*2π)/11794 weeks
278-3.55071 .20833 (278*2π)/11794 weeks
2791.21429 -1.59366 (279*2π)/11794 weeks
2802.68147 2.67888 (280*2π)/11794 weeks
281-1.56974 4.01908 (281*2π)/11794 weeks
282-3.66477 -.14843 (282*2π)/11794 weeks
283-.08492 -3.54834 (283*2π)/11794 weeks
2843.9759 -1.06397 (284*2π)/11794 weeks
2852.59167 2.57229 (285*2π)/11794 weeks
286-.08416 1.65803 (286*2π)/11794 weeks
2871.22736 -.40026 (287*2π)/11794 weeks
2883.0316 1.66733 (288*2π)/11794 weeks
289.43253 3.54533 (289*2π)/11794 weeks
290-1.35563 .61556 (290*2π)/11794 weeks
2911.49352 -.84036 (291*2π)/11794 weeks
2922.7794 1.7345 (292*2π)/11794 weeks
293.32316 2.79274 (293*2π)/11794 weeks
294-.16011 .14383 (294*2π)/11794 weeks
2952.95675 .13321 (295*2π)/11794 weeks
2963.38226 3.84435 (296*2π)/11794 weeks
297-.45694 5.68558 (297*2π)/11794 weeks
298-3.79724 3.04002 (298*2π)/11794 weeks
299-3.1784 -.67683 (299*2π)/11794 weeks
300-.86516 -1.54429 (300*2π)/11794 weeks
301.00494 -1.62434 (301*2π)/11794 weeks
3022.06098 -2.1839 (302*2π)/11794 weeks
3034.62182 .45994 (303*2π)/11794 weeks
3042.48059 4.7505 (304*2π)/11794 weeks
305-2.60108 3.61629 (305*2π)/11794 weeks
306-2.59754 -1.22089 (306*2π)/11794 weeks
3071.21797 -1.82531 (307*2π)/11794 weeks
3081.66939 .64408 (308*2π)/11794 weeks
309.15019 .40686 (309*2π)/11794 weeks
3101.16491 -1.22511 (310*2π)/11794 weeks
3113.80435 .27076 (311*2π)/11794 weeks
3122.53704 4.05154 (312*2π)/11794 weeks
313-2.00909 3.57428 (313*2π)/11794 weeks
314-2.3662 -1.05185 (314*2π)/11794 weeks
3151.77898 -1.83751 (315*2π)/11794 weeks
3162.68557 1.82945 (316*2π)/11794 weeks
317-.73138 2.69534 (317*2π)/11794 weeks
318-1.46502 -.35092 (318*2π)/11794 weeks
319.91053 -.71377 (319*2π)/11794 weeks
320.47323 1.15264 (320*2π)/11794 weeks
321-1.51581 -.31597 (321*2π)/11794 weeks
322.70171 -2.86212 (322*2π)/11794 weeks
3233.62843 -.27957 (323*2π)/11794 weeks
324.70706 2.52791 (324*2π)/11794 weeks
325-1.79351 -.97767 (325*2π)/11794 weeks
3262.41599 -3.50455 (326*2π)/11794 weeks
3275.33613 1.33037 (327*2π)/11794 weeks
328.03612 4.67339 (328*2π)/11794 weeks
329-3.78467 -.77056 (329*2π)/11794 weeks
3301.27519 -5.15937 (330*2π)/11794 weeks
3315.96135 -1.14781 (331*2π)/11794 weeks
3323.3908 3.05133 (332*2π)/11794 weeks
333.38128 1.61352 (333*2π)/11794 weeks
3341.45652 -.15866 (334*2π)/11794 weeks
3352.53892 1.09864 (335*2π)/11794 weeks
3361.2962 2.17963 (336*2π)/11794 weeks
337-.15077 1.45824 (337*2π)/11793 weeks
338-.06847 -.08727 (338*2π)/11793 weeks
3391.0051 -.19704 (339*2π)/11793 weeks
340.41725 .20294 (340*2π)/11793 weeks
341.31167 -1.94008 (341*2π)/11793 weeks
3423.83355 -2.40196 (342*2π)/11793 weeks
3435.21802 1.30146 (343*2π)/11793 weeks
3442.49252 3.39336 (344*2π)/11793 weeks
345.74148 2.17724 (345*2π)/11793 weeks
346.85354 1.49678 (346*2π)/11793 weeks
347.46366 1.51674 (347*2π)/11793 weeks
348-.29854 .65207 (348*2π)/11793 weeks
349.27505 -1.26941 (349*2π)/11793 weeks
3503.27734 -1.58605 (350*2π)/11793 weeks
3514.84185 2.20948 (351*2π)/11793 weeks
352.89136 4.94126 (352*2π)/11793 weeks
353-2.42678 1.5965 (353*2π)/11793 weeks
354-.16682 -1.4731 (354*2π)/11793 weeks
3551.85217 -.1283 (355*2π)/11793 weeks
356.75427 .58741 (356*2π)/11793 weeks
357.74032 -1.17669 (357*2π)/11793 weeks
3583.61275 -1.19601 (358*2π)/11793 weeks
3594.2534 2.17379 (359*2π)/11793 weeks
3601.35758 3.49451 (360*2π)/11793 weeks
361.05724 1.44647 (361*2π)/11793 weeks
3621.61127 1.00398 (362*2π)/11793 weeks
3631.10499 2.75035 (363*2π)/11793 weeks
364-1.37033 1.92161 (364*2π)/11793 weeks
365-.72854 -1.18638 (365*2π)/11793 weeks
3662.56773 -.67635 (366*2π)/11793 weeks
3672.12091 2.47963 (367*2π)/11793 weeks
368-.77059 2.01833 (368*2π)/11793 weeks
369-.29686 -.35425 (369*2π)/11793 weeks
3701.47548 .37506 (370*2π)/11793 weeks
371-.02489 1.95743 (371*2π)/11793 weeks
372-2.05278 -.50427 (372*2π)/11793 weeks
373.76912 -3.32174 (373*2π)/11793 weeks
3744.19765 -.9252 (374*2π)/11793 weeks
3752.58076 2.45641 (375*2π)/11793 weeks
376-.28086 1.4179 (376*2π)/11793 weeks
377.52277 -.90219 (377*2π)/11793 weeks
3782.50522 -.11389 (378*2π)/11793 weeks
3791.50561 1.53213 (379*2π)/11793 weeks
380.27517 .11372 (380*2π)/11793 weeks
3812.40135 -.97503 (381*2π)/11793 weeks
3823.8215 1.98459 (382*2π)/11793 weeks
383.46695 4.10344 (383*2π)/11793 weeks
384-2.32105 .87587 (384*2π)/11793 weeks
385.58625 -2.1844 (385*2π)/11793 weeks
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