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Fourier Analysis of RGLD (Royal Gold, Inc.)


RGLD (Royal Gold, Inc.) appears to have interesting cyclic behaviour every 169 weeks (3.0344*sine), 186 weeks (2.3098*sine), and 116 weeks (2.0509*cosine).

RGLD (Royal Gold, Inc.) has an average price of 19.47 (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 6/9/1981 to 1/17/2017 for RGLD (Royal Gold, Inc.), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
019.4707   0 
115.25524 -19.35696 (1*2π)/18581,858 weeks
21.13321 -13.34944 (2*2π)/1858929 weeks
3-1.1605 -5.49799 (3*2π)/1858619 weeks
4-3.25948 -4.80068 (4*2π)/1858465 weeks
5.0606 -1.02768 (5*2π)/1858372 weeks
6-.10933 -1.39059 (6*2π)/1858310 weeks
7.7727 -1.43221 (7*2π)/1858265 weeks
8.31106 -3.0808 (8*2π)/1858232 weeks
9-.5589 -2.50693 (9*2π)/1858206 weeks
10.3735 -2.30982 (10*2π)/1858186 weeks
11-.61725 -3.03438 (11*2π)/1858169 weeks
12-.38858 .41556 (12*2π)/1858155 weeks
131.2421 .0845 (13*2π)/1858143 weeks
141.50557 -.38277 (14*2π)/1858133 weeks
151.56475 -.84648 (15*2π)/1858124 weeks
162.05092 -2.1157 (16*2π)/1858116 weeks
171.44569 -2.17097 (17*2π)/1858109 weeks
181.06588 -2.23702 (18*2π)/1858103 weeks
19.53233 -1.98902 (19*2π)/185898 weeks
20-.33596 -2.10713 (20*2π)/185893 weeks
21-.78184 -1.96351 (21*2π)/185888 weeks
22-.66492 -1.29676 (22*2π)/185884 weeks
23-.3331 -1.16563 (23*2π)/185881 weeks
24-.25093 -.75804 (24*2π)/185877 weeks
25.20347 -.68273 (25*2π)/185874 weeks
26.25526 -1.3285 (26*2π)/185871 weeks
27.01989 -2.16676 (27*2π)/185869 weeks
28-.48014 -2.17467 (28*2π)/185866 weeks
29-.83538 -1.6636 (29*2π)/185864 weeks
30-.88047 -1.22418 (30*2π)/185862 weeks
31-1.03663 -.33563 (31*2π)/185860 weeks
32-.41531 -.23261 (32*2π)/185858 weeks
33-.2876 -.84599 (33*2π)/185856 weeks
34-.44917 -.42293 (34*2π)/185855 weeks
35.02536 -.53444 (35*2π)/185853 weeks
36-.54509 -.81551 (36*2π)/185852 weeks
37-1.19849 -.19681 (37*2π)/185850 weeks
38-.86923 .19844 (38*2π)/185849 weeks
39-.24849 .11052 (39*2π)/185848 weeks
40.09913 -.18939 (40*2π)/185846 weeks
41.03156 -.40079 (41*2π)/185845 weeks
42.11592 -.43242 (42*2π)/185844 weeks
43-.07295 -.5783 (43*2π)/185843 weeks
44-.3872 -.56626 (44*2π)/185842 weeks
45-.23649 -.26742 (45*2π)/185841 weeks
46-.11016 -.3979 (46*2π)/185840 weeks
47-.3924 -.27891 (47*2π)/185840 weeks
48-.05129 .0423 (48*2π)/185839 weeks
49-.01225 -.07763 (49*2π)/185838 weeks
50.10606 -.3938 (50*2π)/185837 weeks
51-.09427 -.37569 (51*2π)/185836 weeks
52-.20338 -.16419 (52*2π)/185836 weeks
53.2453 -.13896 (53*2π)/185835 weeks
54-.00105 -.39018 (54*2π)/185834 weeks
55.0517 -.30094 (55*2π)/185834 weeks
56-.02274 -.35454 (56*2π)/185833 weeks
57-.05253 -.058 (57*2π)/185833 weeks
58.23253 -.25296 (58*2π)/185832 weeks
59-.1269 -.58324 (59*2π)/185831 weeks
60-.25281 -.19819 (60*2π)/185831 weeks
61.0075 -.30858 (61*2π)/185830 weeks
62.00206 -.18255 (62*2π)/185830 weeks
63.18513 -.27032 (63*2π)/185829 weeks
64.05238 -.51142 (64*2π)/185829 weeks
65-.04356 -.40401 (65*2π)/185829 weeks
66-.11678 -.50172 (66*2π)/185828 weeks
67-.29827 -.27523 (67*2π)/185828 weeks
68-.0203 .02382 (68*2π)/185827 weeks
69-.10917 -.15443 (69*2π)/185827 weeks
70-.0835 .10538 (70*2π)/185827 weeks
71.16942 -.00074 (71*2π)/185826 weeks
72.24591 -.25005 (72*2π)/185826 weeks
73.27204 -.13099 (73*2π)/185825 weeks
74.46552 -.2177 (74*2π)/185825 weeks
75.2508 -.4243 (75*2π)/185825 weeks
76.07879 -.62108 (76*2π)/185824 weeks
77-.37511 -.57287 (77*2π)/185824 weeks
78-.26392 -.12232 (78*2π)/185824 weeks
79-.05065 -.03998 (79*2π)/185824 weeks
80.03471 -.00324 (80*2π)/185823 weeks
81.00499 -.07502 (81*2π)/185823 weeks
82-.16477 -.08478 (82*2π)/185823 weeks
83.04362 .22949 (83*2π)/185822 weeks
84.55526 -.08327 (84*2π)/185822 weeks
85.46845 -.48919 (85*2π)/185822 weeks
86.19099 -.39578 (86*2π)/185822 weeks
87.17059 -.42318 (87*2π)/185821 weeks
88.10641 -.42797 (88*2π)/185821 weeks
89.04869 -.54179 (89*2π)/185821 weeks
90-.03527 -.52632 (90*2π)/185821 weeks
91-.03124 -.2578 (91*2π)/185820 weeks
92-.02934 -.31982 (92*2π)/185820 weeks
93-.06147 -.32335 (93*2π)/185820 weeks
94-.1252 -.46095 (94*2π)/185820 weeks
95-.30113 -.49581 (95*2π)/185820 weeks
96-.19873 -.12471 (96*2π)/185819 weeks
97-.05244 -.19394 (97*2π)/185819 weeks
98-.13112 -.1616 (98*2π)/185819 weeks
99.01958 -.17624 (99*2π)/185819 weeks
100-.08162 -.49663 (100*2π)/185819 weeks
101-.25204 -.31232 (101*2π)/185818 weeks
102-.10187 -.25026 (102*2π)/185818 weeks
103-.19547 -.19483 (103*2π)/185818 weeks
104-.22671 -.10129 (104*2π)/185818 weeks
105-.15041 .02693 (105*2π)/185818 weeks
106.04307 -.12973 (106*2π)/185818 weeks
107.02778 -.35847 (107*2π)/185817 weeks
108-.25531 -.13668 (108*2π)/185817 weeks
109-.00811 .03244 (109*2π)/185817 weeks
110-.06945 -.1594 (110*2π)/185817 weeks
111-.07238 -.07918 (111*2π)/185817 weeks
112.02413 -.17278 (112*2π)/185817 weeks
113-.04387 -.16028 (113*2π)/185816 weeks
114-.00523 -.0786 (114*2π)/185816 weeks
115-.05016 -.10678 (115*2π)/185816 weeks
116.09309 -.16115 (116*2π)/185816 weeks
117-.03411 -.40667 (117*2π)/185816 weeks
118-.32126 -.27229 (118*2π)/185816 weeks
119-.08235 -.10429 (119*2π)/185816 weeks
120-.26908 -.23027 (120*2π)/185815 weeks
121-.33532 .21856 (121*2π)/185815 weeks
122.14845 .2613 (122*2π)/185815 weeks
123.12472 -.08506 (123*2π)/185815 weeks
124.18788 -.09983 (124*2π)/185815 weeks
125.10048 -.25417 (125*2π)/185815 weeks
126-.05718 -.28978 (126*2π)/185815 weeks
127-.22178 -.13991 (127*2π)/185815 weeks
128-.23191 -.03221 (128*2π)/185815 weeks
129.079 .10387 (129*2π)/185814 weeks
130.13962 -.10881 (130*2π)/185814 weeks
131.14874 -.08601 (131*2π)/185814 weeks
132.18526 -.18497 (132*2π)/185814 weeks
133.03978 -.36013 (133*2π)/185814 weeks
134-.18089 -.15371 (134*2π)/185814 weeks
135-.03956 -.11894 (135*2π)/185814 weeks
136-.06149 -.08782 (136*2π)/185814 weeks
137-.06644 -.05829 (137*2π)/185814 weeks
138.09512 -.06234 (138*2π)/185813 weeks
139.03652 -.27403 (139*2π)/185813 weeks
140-.06617 -.22422 (140*2π)/185813 weeks
141-.0832 -.22083 (141*2π)/185813 weeks
142-.13076 -.18412 (142*2π)/185813 weeks
143-.16819 .02376 (143*2π)/185813 weeks
144.07191 .0582 (144*2π)/185813 weeks
145.27293 -.09829 (145*2π)/185813 weeks
146.12586 -.36579 (146*2π)/185813 weeks
147-.03451 -.32904 (147*2π)/185813 weeks
148-.15219 -.13419 (148*2π)/185813 weeks
149-.09554 -.1325 (149*2π)/185812 weeks
150-.05536 -.18156 (150*2π)/185812 weeks
151-.16827 -.26052 (151*2π)/185812 weeks
152-.16467 -.11052 (152*2π)/185812 weeks
153-.11735 .01044 (153*2π)/185812 weeks
154-.04569 -.00587 (154*2π)/185812 weeks
155-.00555 -.01105 (155*2π)/185812 weeks
156.0349 -.04999 (156*2π)/185812 weeks
157.06548 -.05084 (157*2π)/185812 weeks
158.15449 -.19378 (158*2π)/185812 weeks
159-.00758 -.29726 (159*2π)/185812 weeks
160-.21819 -.21944 (160*2π)/185812 weeks
161-.12132 -.03277 (161*2π)/185812 weeks
162-.04752 -.03231 (162*2π)/185811 weeks
163.0767 -.04774 (163*2π)/185811 weeks
164.10626 -.05949 (164*2π)/185811 weeks
165.09966 -.09134 (165*2π)/185811 weeks
166.05418 -.19942 (166*2π)/185811 weeks
167-.03605 -.24166 (167*2π)/185811 weeks
168-.04405 -.22729 (168*2π)/185811 weeks
169-.11356 -.23156 (169*2π)/185811 weeks
170-.16189 -.15946 (170*2π)/185811 weeks
171-.13393 -.07067 (171*2π)/185811 weeks
172-.05436 -.12413 (172*2π)/185811 weeks
173-.06438 -.20088 (173*2π)/185811 weeks
174-.21951 -.09182 (174*2π)/185811 weeks
175-.08397 .02669 (175*2π)/185811 weeks
176.00227 -.00782 (176*2π)/185811 weeks
177.01664 -.02663 (177*2π)/185810 weeks
178.08204 -.09461 (178*2π)/185810 weeks
179.02329 -.19733 (179*2π)/185810 weeks
180-.08359 -.17024 (180*2π)/185810 weeks
181-.12998 -.16881 (181*2π)/185810 weeks
182-.22228 -.00959 (182*2π)/185810 weeks
183-.15926 .11773 (183*2π)/185810 weeks
184.03485 .0948 (184*2π)/185810 weeks
185.07871 .00473 (185*2π)/185810 weeks
186.10496 -.11646 (186*2π)/185810 weeks
187.05556 -.13925 (187*2π)/185810 weeks
188.01106 -.18219 (188*2π)/185810 weeks
189-.10279 -.20545 (189*2π)/185810 weeks
190-.12348 -.01974 (190*2π)/185810 weeks
191.02073 .0619 (191*2π)/185810 weeks
192.10461 .02812 (192*2π)/185810 weeks
193.16959 .0467 (193*2π)/185810 weeks
194.19095 -.10259 (194*2π)/185810 weeks
195.1175 -.1136 (195*2π)/185810 weeks
196.12785 -.09645 (196*2π)/18589 weeks
197.19658 -.18976 (197*2π)/18589 weeks
198.14409 -.25352 (198*2π)/18589 weeks
199.05086 -.26124 (199*2π)/18589 weeks
200-.0163 -.28177 (200*2π)/18589 weeks
201-.08566 -.29139 (201*2π)/18589 weeks
202-.17127 -.22863 (202*2π)/18589 weeks
203-.10792 -.00326 (203*2π)/18589 weeks
204.12909 .03062 (204*2π)/18589 weeks
205.1382 -.18995 (205*2π)/18589 weeks
206.01383 -.26767 (206*2π)/18589 weeks
207-.06203 -.2537 (207*2π)/18589 weeks
208-.10929 -.17074 (208*2π)/18589 weeks
209-.03808 -.12806 (209*2π)/18589 weeks
210-.10363 -.14003 (210*2π)/18589 weeks
211-.11286 -.06266 (211*2π)/18589 weeks
212-.08097 -.0265 (212*2π)/18589 weeks
213-.01363 -.06103 (213*2π)/18589 weeks
214-.00937 -.10861 (214*2π)/18589 weeks
215-.07247 -.11752 (215*2π)/18589 weeks
216-.09948 -.00782 (216*2π)/18589 weeks
217-.05516 .03491 (217*2π)/18589 weeks
218.02249 -.02652 (218*2π)/18589 weeks
219.00651 -.09483 (219*2π)/18588 weeks
220-.0423 -.07707 (220*2π)/18588 weeks
221.01457 .02935 (221*2π)/18588 weeks
222.10329 -.03838 (222*2π)/18588 weeks
223.07971 -.16049 (223*2π)/18588 weeks
224-.02596 -.1855 (224*2π)/18588 weeks
225-.00245 -.1124 (225*2π)/18588 weeks
226-.00072 -.10926 (226*2π)/18588 weeks
227.02077 -.09773 (227*2π)/18588 weeks
228-.01736 -.11309 (228*2π)/18588 weeks
229-.03881 -.09468 (229*2π)/18588 weeks
230.02214 -.04144 (230*2π)/18588 weeks
231.1066 -.08682 (231*2π)/18588 weeks
232.1101 -.15742 (232*2π)/18588 weeks
233.07161 -.26276 (233*2π)/18588 weeks
234-.12487 -.22958 (234*2π)/18588 weeks
235-.12812 -.08283 (235*2π)/18588 weeks
236-.01223 -.07017 (236*2π)/18588 weeks
237-.04064 -.12123 (237*2π)/18588 weeks
238-.05147 -.1301 (238*2π)/18588 weeks
239-.07081 -.10342 (239*2π)/18588 weeks
240-.10103 -.17502 (240*2π)/18588 weeks
241-.15699 -.1139 (241*2π)/18588 weeks
242-.15945 -.02145 (242*2π)/18588 weeks
243-.0663 -.02184 (243*2π)/18588 weeks
244-.06013 .008 (244*2π)/18588 weeks
245.04945 -.03887 (245*2π)/18588 weeks
246.02201 -.10418 (246*2π)/18588 weeks
247.06299 -.08421 (247*2π)/18588 weeks
248.01326 -.18692 (248*2π)/18587 weeks
249-.08707 -.0996 (249*2π)/18587 weeks
250-.01435 -.02776 (250*2π)/18587 weeks
251.02357 -.1258 (251*2π)/18587 weeks
252.02404 -.16247 (252*2π)/18587 weeks
253-.02527 -.22164 (253*2π)/18587 weeks
254-.11409 -.17854 (254*2π)/18587 weeks
255-.09956 -.12238 (255*2π)/18587 weeks
256-.16232 -.1155 (256*2π)/18587 weeks
257-.09732 -.01537 (257*2π)/18587 weeks
258-.03071 -.09825 (258*2π)/18587 weeks
259-.07436 -.10648 (259*2π)/18587 weeks
260-.05173 -.10103 (260*2π)/18587 weeks
261-.10663 -.13609 (261*2π)/18587 weeks
262-.16215 -.05032 (262*2π)/18587 weeks
263-.01114 -.01482 (263*2π)/18587 weeks
264.03163 -.13303 (264*2π)/18587 weeks
265-.04604 -.15635 (265*2π)/18587 weeks
266-.10291 -.10539 (266*2π)/18587 weeks
267-.09541 -.02284 (267*2π)/18587 weeks
268-.05259 -.02986 (268*2π)/18587 weeks
269-.03113 -.01471 (269*2π)/18587 weeks
270.00609 .0112 (270*2π)/18587 weeks
271.01176 -.06803 (271*2π)/18587 weeks
272-.04797 -.06639 (272*2π)/18587 weeks
273-.06124 -.0677 (273*2π)/18587 weeks
274-.1047 -.07967 (274*2π)/18587 weeks
275-.06859 -.01673 (275*2π)/18587 weeks
276-.03031 -.01731 (276*2π)/18587 weeks
277-.01869 -.02225 (277*2π)/18587 weeks
278.03163 -.06445 (278*2π)/18587 weeks
279.00266 -.1362 (279*2π)/18587 weeks
280-.05613 -.13087 (280*2π)/18587 weeks
281-.0369 -.10392 (281*2π)/18587 weeks
282-.06801 -.02617 (282*2π)/18587 weeks
283-.01463 -.04033 (283*2π)/18587 weeks
284-.02506 -.10291 (284*2π)/18587 weeks
285-.1128 -.04051 (285*2π)/18587 weeks
286.01752 -.03879 (286*2π)/18586 weeks
287-.03605 -.08467 (287*2π)/18586 weeks
288-.08002 -.04752 (288*2π)/18586 weeks
289-.09291 .00429 (289*2π)/18586 weeks
290-.03012 .0506 (290*2π)/18586 weeks
291.048 -.0101 (291*2π)/18586 weeks
292.02149 -.07929 (292*2π)/18586 weeks
293.00291 -.07441 (293*2π)/18586 weeks
294-.01006 -.00681 (294*2π)/18586 weeks
295.04808 -.00764 (295*2π)/18586 weeks
296.05221 -.06565 (296*2π)/18586 weeks
297.00524 -.08197 (297*2π)/18586 weeks
298.08254 -.08732 (298*2π)/18586 weeks
299.0198 -.1335 (299*2π)/18586 weeks
300.02166 -.11672 (300*2π)/18586 weeks
301-.08238 -.16607 (301*2π)/18586 weeks
302-.14393 -.00999 (302*2π)/18586 weeks
303.05471 .02841 (303*2π)/18586 weeks
304.05416 -.12404 (304*2π)/18586 weeks
305-.024 -.11572 (305*2π)/18586 weeks
306-.05652 -.10412 (306*2π)/18586 weeks
307-.06793 -.06661 (307*2π)/18586 weeks
308-.02764 -.07807 (308*2π)/18586 weeks
309-.01667 -.14416 (309*2π)/18586 weeks
310-.07731 -.08782 (310*2π)/18586 weeks
311-.07567 -.02016 (311*2π)/18586 weeks
312.01858 .03572 (312*2π)/18586 weeks
313.06941 -.06198 (313*2π)/18586 weeks
314.00423 -.1721 (314*2π)/18586 weeks
315-.04625 -.09018 (315*2π)/18586 weeks
316-.02122 -.07713 (316*2π)/18586 weeks
317-.02282 -.07125 (317*2π)/18586 weeks
318-.05864 -.0977 (318*2π)/18586 weeks
319-.10139 -.07612 (319*2π)/18586 weeks
320-.08834 -.0382 (320*2π)/18586 weeks
321-.03392 -.04872 (321*2π)/18586 weeks
322-.01716 -.0363 (322*2π)/18586 weeks
323-.00032 -.08597 (323*2π)/18586 weeks
324-.03969 -.09255 (324*2π)/18586 weeks
325-.02769 -.02997 (325*2π)/18586 weeks
326-.01289 -.05536 (326*2π)/18586 weeks
327.02193 -.0347 (327*2π)/18586 weeks
328.01149 -.09228 (328*2π)/18586 weeks
329-.03794 -.08185 (329*2π)/18586 weeks
330-.02483 -.06561 (330*2π)/18586 weeks
331-.0601 -.06528 (331*2π)/18586 weeks
332-.00164 .0118 (332*2π)/18586 weeks
333.06234 -.08644 (333*2π)/18586 weeks
334-.00653 -.09895 (334*2π)/18586 weeks
335.0009 -.11251 (335*2π)/18586 weeks
336-.04689 -.13892 (336*2π)/18586 weeks
337-.06489 -.08463 (337*2π)/18586 weeks
338.00457 -.05558 (338*2π)/18585 weeks
339.00468 -.13096 (339*2π)/18585 weeks
340-.02638 -.15774 (340*2π)/18585 weeks
341-.06917 -.11316 (341*2π)/18585 weeks
342.00509 -.07304 (342*2π)/18585 weeks
343.03405 -.10775 (343*2π)/18585 weeks
344-.0391 -.13504 (344*2π)/18585 weeks
345-.05132 -.0785 (345*2π)/18585 weeks
346-.04165 -.12306 (346*2π)/18585 weeks
347-.06672 -.15276 (347*2π)/18585 weeks
348-.131 -.13101 (348*2π)/18585 weeks
349-.13537 -.11263 (349*2π)/18585 weeks
350-.16239 -.028 (350*2π)/18585 weeks
351-.09436 -.02696 (351*2π)/18585 weeks
352-.06065 -.07495 (352*2π)/18585 weeks
353-.08299 -.10201 (353*2π)/18585 weeks
354-.05247 -.10724 (354*2π)/18585 weeks
355-.09609 -.12878 (355*2π)/18585 weeks
356-.14154 -.08346 (356*2π)/18585 weeks
357-.13957 -.0729 (357*2π)/18585 weeks
358-.17109 -.04576 (358*2π)/18585 weeks
359-.14284 .0071 (359*2π)/18585 weeks
360-.07873 .03557 (360*2π)/18585 weeks
361-.03801 .04889 (361*2π)/18585 weeks
362-.01658 -.00927 (362*2π)/18585 weeks
363-.09326 -.04343 (363*2π)/18585 weeks
364-.09773 .00059 (364*2π)/18585 weeks
365-.06714 -.0351 (365*2π)/18585 weeks
366-.05716 -.02226 (366*2π)/18585 weeks
367-.07775 -.00585 (367*2π)/18585 weeks
368-.0899 .02972 (368*2π)/18585 weeks
369-.04542 .05351 (369*2π)/18585 weeks
370.00103 .00474 (370*2π)/18585 weeks
371.05699 -.01778 (371*2π)/18585 weeks
372.08227 -.10467 (372*2π)/18585 weeks
373.02757 -.13101 (373*2π)/18585 weeks
374-.06311 -.13155 (374*2π)/18585 weeks
375-.09713 -.08772 (375*2π)/18585 weeks
376-.05436 -.05455 (376*2π)/18585 weeks
377-.06378 -.12997 (377*2π)/18585 weeks
378-.13759 -.08649 (378*2π)/18585 weeks
379-.16641 -.0183 (379*2π)/18585 weeks
380-.15188 .03032 (380*2π)/18585 weeks
381-.06682 .02729 (381*2π)/18585 weeks
382-.0878 -.03305 (382*2π)/18585 weeks
383-.08146 .00576 (383*2π)/18585 weeks
384-.05509 .01063 (384*2π)/18585 weeks
385-.0506 -.0039 (385*2π)/18585 weeks
386-.06724 .00193 (386*2π)/18585 weeks
387-.05722 .02527 (387*2π)/18585 weeks
388.00721 -.00904 (388*2π)/18585 weeks
389-.03162 -.04143 (389*2π)/18585 weeks
390-.00519 .00205 (390*2π)/18585 weeks
391.02776 -.03889 (391*2π)/18585 weeks
392-.01194 -.06914 (392*2π)/18585 weeks
393-.04987 -.04532 (393*2π)/18585 weeks
394-.04123 -.0187 (394*2π)/18585 weeks
395.02472 -.01618 (395*2π)/18585 weeks
396-.01651 -.07763 (396*2π)/18585 weeks
397-.04911