Back to list of Stocks    See Also: Seasonal Analysis of YRCWGenetic Algorithms Stock Portfolio Generator, and Best Months to Buy/Sell Stocks

Fourier Analysis of YRCW (Yellow Corporation)


YRCW (Yellow Corporation) appears to have interesting cyclic behaviour every 142 weeks (10857.47*sine), 194 weeks (8217.87*sine), and 178 weeks (7691.67*sine).

YRCW (Yellow Corporation) has an average price of 118,306 (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 3/17/1980 to 2/22/2021 for YRCW (Yellow Corporation), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0118,306   0 
1-82,635.95 44,019.71 (1*2π)/21372,137 weeks
2-8,335.784 73,727.02 (2*2π)/21371,069 weeks
313,086.76 -44,206.86 (3*2π)/2137712 weeks
4-37,375.36 531.8774 (4*2π)/2137534 weeks
519,061.42 17,887.32 (5*2π)/2137427 weeks
67,453.951 -21,897.5 (6*2π)/2137356 weeks
7-4,190.475 14,557.34 (7*2π)/2137305 weeks
8866.511 10,275.91 (8*2π)/2137267 weeks
9-1,968.339 -7,481.342 (9*2π)/2137237 weeks
10-4,441.581 4,397.843 (10*2π)/2137214 weeks
113,678.253 -8,217.87 (11*2π)/2137194 weeks
125,265.57 7,691.67 (12*2π)/2137178 weeks
133,194.993 -2,752.365 (13*2π)/2137164 weeks
141,167.656 7,609.542 (14*2π)/2137153 weeks
15-172.4913 10,857.47 (15*2π)/2137142 weeks
16-6,684.869 -6,138.249 (16*2π)/2137134 weeks
17-3,341.165 6,931.051 (17*2π)/2137126 weeks
181,800.132 -5,733.195 (18*2π)/2137119 weeks
19-1,875.287 1,390.082 (19*2π)/2137112 weeks
20-1,872.947 2,099.016 (20*2π)/2137107 weeks
213,173.059 -4,194.389 (21*2π)/2137102 weeks
22-3,392.062 1,881.505 (22*2π)/213797 weeks
234,098.773 .04965 (23*2π)/213793 weeks
24192.2441 -66.33727 (24*2π)/213789 weeks
25-1,763.506 819.7452 (25*2π)/213785 weeks
264,040.224 2,416.058 (26*2π)/213782 weeks
27-1,762.634 -1,205.747 (27*2π)/213779 weeks
28363.0051 3,303.302 (28*2π)/213776 weeks
29-1,006.325 1,079.953 (29*2π)/213774 weeks
30674.0594 477.2548 (30*2π)/213771 weeks
31-4,625.646 -796.3757 (31*2π)/213769 weeks
32667.3141 -2,007.096 (32*2π)/213767 weeks
337,013.843 338.5016 (33*2π)/213765 weeks
34-4,304.221 -258.8108 (34*2π)/213763 weeks
352,752.159 5,091.292 (35*2π)/213761 weeks
361,432.938 -1,076.056 (36*2π)/213759 weeks
37-3,714.632 498.4146 (37*2π)/213758 weeks
381,680.975 3,342.764 (38*2π)/213756 weeks
39-204.5525 -482.1272 (39*2π)/213755 weeks
40-3,170.539 508.705 (40*2π)/213753 weeks
41495.7507 -762.6525 (41*2π)/213752 weeks
42140.6287 1,147.692 (42*2π)/213751 weeks
43-519.1519 -1,897.214 (43*2π)/213750 weeks
44697.0076 -186.2979 (44*2π)/213749 weeks
451,971.85 2,922.559 (45*2π)/213747 weeks
46-2,575.978 23.81979 (46*2π)/213746 weeks
47203.2752 -2,072.05 (47*2π)/213745 weeks
481,444.558 2,203.538 (48*2π)/213745 weeks
49646.8718 600.4437 (49*2π)/213744 weeks
50-1,936.892 523.8537 (50*2π)/213743 weeks
51-42.39589 725.3784 (51*2π)/213742 weeks
5277.42538 408.569 (52*2π)/213741 weeks
53-1,382.739 -1,401.371 (53*2π)/213740 weeks
54144.1187 949.8936 (54*2π)/213740 weeks
551,032.614 -1,234.177 (55*2π)/213739 weeks
56884.0417 279.763 (56*2π)/213738 weeks
57502.2447 2,375.624 (57*2π)/213737 weeks
58-2,142.775 1,033.948 (58*2π)/213737 weeks
59-161.9691 -910.1506 (59*2π)/213736 weeks
60-1,150.894 -2,088.316 (60*2π)/213736 weeks
613,148.74 1,447.648 (61*2π)/213735 weeks
62-776.7692 1,678.134 (62*2π)/213734 weeks
63-1,240.843 -940.3218 (63*2π)/213734 weeks
64-661.9655 525.722 (64*2π)/213733 weeks
651,701.399 -311.1453 (65*2π)/213733 weeks
66-1,229.416 -364.8893 (66*2π)/213732 weeks
671,057.428 -21.81408 (67*2π)/213732 weeks
68943.9555 1,781.498 (68*2π)/213731 weeks
69-1,081.453 541.6453 (69*2π)/213731 weeks
70-1,247.607 -848.4612 (70*2π)/213731 weeks
71859.3974 527.4259 (71*2π)/213730 weeks
72321.0462 -430.4782 (72*2π)/213730 weeks
7324.40098 1,256.781 (73*2π)/213729 weeks
74-1,038.647 -237.3788 (74*2π)/213729 weeks
75-458.4885 287.2705 (75*2π)/213728 weeks
761,215.689 -791.0582 (76*2π)/213728 weeks
77-969.2515 -289.3031 (77*2π)/213728 weeks
78489.6901 1,477.252 (78*2π)/213727 weeks
79909.4273 -1,081.745 (79*2π)/213727 weeks
80-1,099.49 726.2462 (80*2π)/213727 weeks
81-141.818 741.7823 (81*2π)/213726 weeks
82436.3913 -1,756.053 (82*2π)/213726 weeks
83663.0214 998.0705 (83*2π)/213726 weeks
84-257.7747 309.1417 (84*2π)/213725 weeks
85604.7477 200.1228 (85*2π)/213725 weeks
86-634.0797 632.0776 (86*2π)/213725 weeks
87316.8303 -347.6073 (87*2π)/213725 weeks
88-12.10599 103.2075 (88*2π)/213724 weeks
89341.2436 1,674.445 (89*2π)/213724 weeks
90-1,393.719 -1,214.134 (90*2π)/213724 weeks
91-60.10358 -210.5361 (91*2π)/213723 weeks
922,044.367 210.7736 (92*2π)/213723 weeks
93-1,724.432 -531.3687 (93*2π)/213723 weeks
942,597.076 1,645.823 (94*2π)/213723 weeks
95-1,662.176 453.4778 (95*2π)/213722 weeks
96-471.119 -256.3041 (96*2π)/213722 weeks
97-288.505 527.3286 (97*2π)/213722 weeks
98569.0091 -1,281.428 (98*2π)/213722 weeks
99-32.69816 -160.7834 (99*2π)/213722 weeks
1001,892.442 1,551.364 (100*2π)/213721 weeks
101-1,103.354 857.8414 (101*2π)/213721 weeks
102-1,212.699 158.6777 (102*2π)/213721 weeks
103897.8506 -661.8591 (103*2π)/213721 weeks
104-1,364.76 822.4042 (104*2π)/213721 weeks
1051,384.21 -466.9667 (105*2π)/213720 weeks
106-874.4092 146.0908 (106*2π)/213720 weeks
107-789.7275 719.0615 (107*2π)/213720 weeks
1081,058.993 -900.7482 (108*2π)/213720 weeks
109-795.5131 -612.1705 (109*2π)/213720 weeks
1101,335.297 888.2556 (110*2π)/213719 weeks
111-310.6189 628.7899 (111*2π)/213719 weeks
112-6.56951 -352.0228 (112*2π)/213719 weeks
113-354.1506 636.2454 (113*2π)/213719 weeks
114-111.8425 162.3813 (114*2π)/213719 weeks
11539.55254 298.8739 (115*2π)/213719 weeks
116-810.2663 -1,149.515 (116*2π)/213718 weeks
117496.064 1,003.053 (117*2π)/213718 weeks
118391.9178 -773.2977 (118*2π)/213718 weeks
119-168.2569 387.5199 (119*2π)/213718 weeks
12054.3678 120.8149 (120*2π)/213718 weeks
121446.0228 143.4158 (121*2π)/213718 weeks
122-271.9044 733.1729 (122*2π)/213718 weeks
123-517.9113 -470.0977 (123*2π)/213717 weeks
124134.8902 -396.0165 (124*2π)/213717 weeks
125511.1487 1,017.182 (125*2π)/213717 weeks
126418.3044 -753.3122 (126*2π)/213717 weeks
127-1,393.054 892.102 (127*2π)/213717 weeks
128874.2709 594.9276 (128*2π)/213717 weeks
129-486.0691 -1,635.338 (129*2π)/213717 weeks
130-541.6248 616.5739 (130*2π)/213716 weeks
1311,592.008 539.1768 (131*2π)/213716 weeks
132-489.5231 -1,025.369 (132*2π)/213716 weeks
133-510.8376 1,519.959 (133*2π)/213716 weeks
134909.7382 -407.941 (134*2π)/213716 weeks
135-750.7933 -70.36057 (135*2π)/213716 weeks
136-101.0034 611.5024 (136*2π)/213716 weeks
137-197.2837 -950.0433 (137*2π)/213716 weeks
1381,083.23 481.5138 (138*2π)/213715 weeks
139-326.0753 -202.7411 (139*2π)/213715 weeks
140-277.2108 1,301.843 (140*2π)/213715 weeks
141166.082 -709.837 (141*2π)/213715 weeks
142-368.5286 -405.5244 (142*2π)/213715 weeks
143318.5109 472.707 (143*2π)/213715 weeks
144538.2184 313.0559 (144*2π)/213715 weeks
145-12.01787 -198.8266 (145*2π)/213715 weeks
146-972.0806 626.6549 (146*2π)/213715 weeks
1471,010.023 277.6083 (147*2π)/213715 weeks
148-861.5117 -479.9923 (148*2π)/213714 weeks
14915.17205 452.6849 (149*2π)/213714 weeks
150-655.9525 -98.46229 (150*2π)/213714 weeks
151912.898 -806.439 (151*2π)/213714 weeks
152-223.1352 3.82595 (152*2π)/213714 weeks
153656.6225 1,058.477 (153*2π)/213714 weeks
154-763.6828 -336.2166 (154*2π)/213714 weeks
155228.5573 19.77458 (155*2π)/213714 weeks
156-178.6644 -341.5195 (156*2π)/213714 weeks
157-98.53004 563.4702 (157*2π)/213714 weeks
158757.1464 -1,254.745 (158*2π)/213714 weeks
1596.05742 1,191.646 (159*2π)/213713 weeks
160-15.3829 225.1458 (160*2π)/213713 weeks
161-120.4808 -338.226 (161*2π)/213713 weeks
162-226.0442 122.126 (162*2π)/213713 weeks
163505.5488 325.8911 (163*2π)/213713 weeks
164-499.1547 -627.708 (164*2π)/213713 weeks
165688.7173 411.6505 (165*2π)/213713 weeks
166-257.9607 785.2724 (166*2π)/213713 weeks
167-453.7139 -1,019.434 (167*2π)/213713 weeks
168-4.67798 65.43434 (168*2π)/213713 weeks
1691,433.711 259.9137 (169*2π)/213713 weeks
170-988.8319 19.3333 (170*2π)/213713 weeks
171-23.32879 700.74 (171*2π)/213712 weeks
172485.7626 -1,079.689 (172*2π)/213712 weeks
173-483.5044 512.3098 (173*2π)/213712 weeks
1741,000.546 94.64172 (174*2π)/213712 weeks
175-348.916 -319.8015 (175*2π)/213712 weeks
17617.1568 901.3499 (176*2π)/213712 weeks
177588.0775 -401.0453 (177*2π)/213712 weeks
178-678.7305 -101.4969 (178*2π)/213712 weeks
179724.839 985.1622 (179*2π)/213712 weeks
180-186.6003 -606.679 (180*2π)/213712 weeks
181-643.6155 395.5721 (181*2π)/213712 weeks
182915.1595 -124.0582 (182*2π)/213712 weeks
183-733.6939 -176.373 (183*2π)/213712 weeks
184938.7891 15.11449 (184*2π)/213712 weeks
185345.6501 166.2598 (185*2π)/213712 weeks
186-337.0611 1,187.528 (186*2π)/213711 weeks
187.58261 -499.7977 (187*2π)/213711 weeks
188-355.4637 376.3555 (188*2π)/213711 weeks
189-11.63559 -70.1537 (189*2π)/213711 weeks
190325.2083 -44.9533 (190*2π)/213711 weeks
191-326.9521 210.3544 (191*2π)/213711 weeks
192142.032 228.9973 (192*2π)/213711 weeks
193-296.8586 -237.5317 (193*2π)/213711 weeks
194149.5885 -286.6714 (194*2π)/213711 weeks
195484.1215 479.3522 (195*2π)/213711 weeks
196-54.59251 -402.1945 (196*2π)/213711 weeks
197265.7346 917.1403 (197*2π)/213711 weeks
198-205.5368 49.41219 (198*2π)/213711 weeks
199-291.2769 -155.6694 (199*2π)/213711 weeks
200161.1486 233.0499 (200*2π)/213711 weeks
201105.8585 95.35773 (201*2π)/213711 weeks
202-173.0129 205.4602 (202*2π)/213711 weeks
203-491.9937 -125.6267 (203*2π)/213711 weeks
204507.1978 11.83981 (204*2π)/213710 weeks
205-91.35968 -117.7 (205*2π)/213710 weeks
206-74.60724 159.2697 (206*2π)/213710 weeks
20736.32455 548.4893 (207*2π)/213710 weeks
208-78.33489 -862.4565 (208*2π)/213710 weeks
209-298.1553 485.178 (209*2π)/213710 weeks
210567.8214 -150.8369 (210*2π)/213710 weeks
211230.6705 -459.5541 (211*2π)/213710 weeks
212-336.347 1,230.174 (212*2π)/213710 weeks
213207.2135 -595.3217 (213*2π)/213710 weeks
214-294.7431 -147.2968 (214*2π)/213710 weeks
215425.3071 197.0702 (215*2π)/213710 weeks
216396.3257 100.635 (216*2π)/213710 weeks
217-291.017 472.4125 (217*2π)/213710 weeks
218-107.6811 269.4907 (218*2π)/213710 weeks
219-332.7524 -389.5603 (219*2π)/213710 weeks
220-8.06067 326.563 (220*2π)/213710 weeks
221-48.37833 -624.7443 (221*2π)/213710 weeks
222629.169 -259.8082 (222*2π)/213710 weeks
22366.52963 1,070.717 (223*2π)/213710 weeks
22481.75106 -163.5804 (224*2π)/213710 weeks
225-568.6381 -38.99736 (225*2π)/21379 weeks
22637.44869 193.509 (226*2π)/21379 weeks
227607.9362 -222.4745 (227*2π)/21379 weeks
228-712.426 26.70844 (228*2π)/21379 weeks
229444.8931 54.37079 (229*2π)/21379 weeks
230412.8925 110.1334 (230*2π)/21379 weeks
231-373.5173 259.1811 (231*2π)/21379 weeks
232-536.3849 -12.20296 (232*2π)/21379 weeks
233789.4304 -539.5372 (233*2π)/21379 weeks
234-125.8507 229.2007 (234*2π)/21379 weeks
235154.3311 68.82201 (235*2π)/21379 weeks
236523.5919 -84.50285 (236*2π)/21379 weeks
237-13.62556 530.7955 (237*2π)/21379 weeks
238106.4418 294.3871 (238*2π)/21379 weeks
239-218.9177 139.1533 (239*2π)/21379 weeks
240-207.4646 61.21698 (240*2π)/21379 weeks
241207.0274 260.9297 (241*2π)/21379 weeks
242-297.8993 -388.5063 (242*2π)/21379 weeks
243114.3604 290.0629 (243*2π)/21379 weeks
244466.0254 148.7552 (244*2π)/21379 weeks
245-652.2687 206.4179 (245*2π)/21379 weeks
246212.0907 -36.62578 (246*2π)/21379 weeks
247-320.6524 -100.247 (247*2π)/21379 weeks
248347.7957 61.83223 (248*2π)/21379 weeks
249-65.12164 -274.9592 (249*2π)/21379 weeks
250465.4581 311.8558 (250*2π)/21379 weeks
251-207.1769 727.9958 (251*2π)/21379 weeks
252-54.74862 -260.7267 (252*2π)/21378 weeks
253-870.6172 125.2078 (253*2π)/21378 weeks
254493.712 -158.4488 (254*2π)/21378 weeks
255193.1161 -642.28 (255*2π)/21378 weeks
256-221.6867 762.0394 (256*2π)/21378 weeks
257602.8182 -34.9911 (257*2π)/21378 weeks
258-708.7305 -33.03332 (258*2π)/21378 weeks
259-12.38113 61.22108 (259*2π)/21378 weeks
260378.7087 -299.678 (260*2π)/21378 weeks
261-38.17355 -174.4293 (261*2π)/21378 weeks
262170.5791 586.2775 (262*2π)/21378 weeks
263341.3281 -381.8582 (263*2π)/21378 weeks
264-430.962 521.0255 (264*2π)/21378 weeks
265273.727 -186.9964 (265*2π)/21378 weeks
266-32.01537 -25.31434 (266*2π)/21378 weeks
267183.1483 177.3989 (267*2π)/21378 weeks
268130.7872 109.2603 (268*2π)/21378 weeks
269-323.1258 232.7388 (269*2π)/21378 weeks
270379.3141 -278.7459 (270*2π)/21378 weeks
27177.34428 426.4774 (271*2π)/21378 weeks
272-247.243 206.1309 (272*2π)/21378 weeks
273130.1098 132.2315 (273*2π)/21378 weeks
274-292.0337 -69.84169 (274*2π)/21378 weeks
275-250.7889 256.6205 (275*2π)/21378 weeks
27696.99274 -398.2501 (276*2π)/21378 weeks
277116.0166 -361.0323 (277*2π)/21378 weeks
278320.083 580.2795 (278*2π)/21378 weeks
279170.3749 130.8693 (279*2π)/21378 weeks
280-588.3179 30.84995 (280*2π)/21378 weeks
281134.4631 -25.0174 (281*2π)/21378 weeks
282267.5273 -107.7806 (282*2π)/21378 weeks
283-2.29905 132.5462 (283*2π)/21378 weeks
284-108.4388 452.9116 (284*2π)/21378 weeks
285-112.8981 -277.3405 (285*2π)/21377 weeks
286-28.99093 172.9926 (286*2π)/21377 weeks
287-130.91 -202.2626 (287*2π)/21377 weeks
288114.4299 -3.81293 (288*2π)/21377 weeks
289241.3676 65.42711 (289*2π)/21377 weeks
290-192.0947 -93.25013 (290*2π)/21377 weeks
291152.1236 262.598 (291*2π)/21377 weeks
292232.5138 -142.8505 (292*2π)/21377 weeks
293-318.3023 276.6422 (293*2π)/21377 weeks
294186.085 -69.00197 (294*2π)/21377 weeks
2952.55633 114.1988 (295*2π)/21377 weeks
296-48.51055 47.19253 (296*2π)/21377 weeks
297-230.3197 14.31125 (297*2π)/21377 weeks
298168.4453 -8.64616 (298*2π)/21377 weeks
29983.03983 -563.1942 (299*2π)/21377 weeks
300182.2924 817.1728 (300*2π)/21377 weeks
301201.7983 -426.8532 (301*2π)/21377 weeks
302-174.3128 380.2607 (302*2π)/21377 weeks
303-37.05327 282.5699 (303*2π)/21377 weeks
30427.18503 -305.8666 (304*2π)/21377 weeks
305-176.8017 -67.75266 (305*2π)/21377 weeks
306206.9832 456.2023 (306*2π)/21377 weeks
307135.9291 -484.0588 (307*2π)/21377 weeks
308-270.7333 170.5863 (308*2π)/21377 weeks
309488.9735 371.416 (309*2π)/21377 weeks
310-126.861 -188.8258 (310*2π)/21377 weeks
311-192.1663 245.1038 (311*2π)/21377 weeks
31212.86943 -26.1056 (312*2π)/21377 weeks
313260.3106 82.03759 (313*2π)/21377 weeks
314-126.9734 -152.562 (314*2π)/21377 weeks
315-143.2184 498.5214 (315*2π)/21377 weeks
316259.118 -144.2963 (316*2π)/21377 weeks
317-251.6567 -115.9197 (317*2π)/21377 weeks
318-212.1676 378.0897 (318*2π)/21377 weeks
319268.6128 -255.9614 (319*2π)/21377 weeks
320-253.3898 -372.4665 (320*2π)/21377 weeks
321379.7974 318.4177 (321*2π)/21377 weeks
322301.6779 121.3366 (322*2π)/21377 weeks
323-321.7535 227.3217 (323*2π)/21377 weeks
324-240.9758 -101.3003 (324*2π)/21377 weeks
325419.7567 110.3688 (325*2π)/21377 weeks
326-278.7561 -47.14586 (326*2π)/21377 weeks
327-29.59526 160.4976 (327*2π)/21377 weeks
328-12.80861 -109.0145 (328*2π)/21377 weeks
32963.65727 -2.06095 (329*2π)/21376 weeks
330-142.8848 19.93158 (330*2π)/21376 weeks
33130.62351 -285.2866 (331*2π)/21376 weeks
332474.8376 107.2033 (332*2π)/21376 weeks
333-56.98881 240.734 (333*2π)/21376 weeks
334-76.62413 108.3124 (334*2π)/21376 weeks
335-114.6948 49.87876 (335*2π)/21376 weeks
33658.39272 -237.0068 (336*2π)/21376 weeks
337230.3537 71.78358 (337*2π)/21376 weeks
338187.2715 268.4637 (338*2π)/21376 weeks
339-276.2379 324.1465 (339*2π)/21376 weeks
340-161.248 -36.77599 (340*2π)/21376 weeks
341-310.185 -205.6908 (341*2π)/21376 weeks
342174.4194 -266.0217 (342*2π)/21376 weeks
343361.5865 -177.0849 (343*2π)/21376 weeks
344153.9289 440.4523 (344*2π)/21376 weeks
345132.4 12.43147 (345*2π)/21376 weeks
346-444.808 425.766 (346*2π)/21376 weeks
347.50976 -507.2236 (347*2π)/21376 weeks
348397.3957 116.0398 (348*2π)/21376 weeks
349-110.0648 156.3544 (349*2π)/21376 weeks
350-66.01719 414.5583 (350*2π)/21376 weeks
351-287.4913 -321.3182 (351*2π)/21376 weeks
35227.77725 -236.2895 (352*2π)/21376 weeks
35361.99555 147.3955 (353*2π)/21376 weeks
354319.6245 -277.5689 (354*2π)/21376 weeks
355-92.44582 180.5606 (355*2π)/21376 weeks
356216.1432 -46.62595 (356*2π)/21376 weeks
357225.5117 306.5489 (357*2π)/21376 weeks
358-328.5124 -29.13919 (358*2π)/21376 weeks
359279.9384 116.2562 (359*2π)/21376 weeks
360-254.2411 -1.92219 (360*2π)/21376 weeks
361145.3685 85.29861 (361*2π)/21376 weeks
36238.82946 -98.80158 (362*2π)/21376 weeks
363-162.4275 103.3313 (363*2π)/21376 weeks
364263.2178