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# Fourier Analysis of HRP (HRPT PROPERTIES)

HRP (HRPT PROPERTIES) appears to have interesting cyclic behaviour every 35 weeks (.1848*sine), 32 weeks (.1574*sine), and 35 weeks (.124*cosine).

HRP (HRPT PROPERTIES) has an average price of 2.77 (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.

## Fourier Analysis

Using data from 7/23/2010 to 3/13/2017 for HRP (HRPT PROPERTIES), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
02.77253   0
1-.51037 .12159 (1*2π)/348348 weeks
2.82385 .88355 (2*2π)/348174 weeks
3-.08136 .48724 (3*2π)/348116 weeks
4.35961 .34525 (4*2π)/34887 weeks
5-.14685 .47588 (5*2π)/34870 weeks
6.09288 .27191 (6*2π)/34858 weeks
7.04794 .26434 (7*2π)/34850 weeks
8.00433 .22575 (8*2π)/34844 weeks
9.08221 .31003 (9*2π)/34839 weeks
10-.12398 .18482 (10*2π)/34835 weeks
11-.09477 .15744 (11*2π)/34832 weeks
12-.01431 .04652 (12*2π)/34829 weeks
13-.00947 .15703 (13*2π)/34827 weeks
14-.05124 .1187 (14*2π)/34825 weeks
15-.03639 .04758 (15*2π)/34823 weeks
16-.00516 .05294 (16*2π)/34822 weeks
17-.05176 .02733 (17*2π)/34820 weeks
18-.01885 .02895 (18*2π)/34819 weeks
19-.02797 .06151 (19*2π)/34818 weeks
20.01536 .00788 (20*2π)/34817 weeks
21.00434 .02675 (21*2π)/34817 weeks
22-.00238 .02631 (22*2π)/34816 weeks
23-.04515 .03919 (23*2π)/34815 weeks
24.00938 .02116 (24*2π)/34815 weeks
25.00018 .01795 (25*2π)/34814 weeks
26.03257 .02678 (26*2π)/34813 weeks
27.05246 .03792 (27*2π)/34813 weeks
28.0134 .03694 (28*2π)/34812 weeks
29-.01536 .04613 (29*2π)/34812 weeks
30.02239 .00321 (30*2π)/34812 weeks
31-.0253 .07071 (31*2π)/34811 weeks
32.00731 -.00295 (32*2π)/34811 weeks
33.01285 .02404 (33*2π)/34811 weeks
34.01455 -.03122 (34*2π)/34810 weeks
35.02437 .01016 (35*2π)/34810 weeks
36-.00518 .01716 (36*2π)/34810 weeks
37.0185 .02953 (37*2π)/3489 weeks
38.02009 .0041 (38*2π)/3489 weeks
39.04385 -.0026 (39*2π)/3489 weeks
40.0478 .00944 (40*2π)/3489 weeks
41.02444 -.0103 (41*2π)/3488 weeks
42.03063 .03105 (42*2π)/3488 weeks
43.04974 .04022 (43*2π)/3488 weeks
44.01656 .03057 (44*2π)/3488 weeks
45.04446 .06227 (45*2π)/3488 weeks
46.02593 .00518 (46*2π)/3488 weeks
47.01458 .03021 (47*2π)/3487 weeks
48.02498 .03262 (48*2π)/3487 weeks
49.01318 .04726 (49*2π)/3487 weeks
50.01988 .04215 (50*2π)/3487 weeks
51.00031 .028 (51*2π)/3487 weeks
52.00804 .0196 (52*2π)/3487 weeks
53.00242 .01135 (53*2π)/3487 weeks
54.00842 .02046 (54*2π)/3486 weeks
55.01896 .03858 (55*2π)/3486 weeks
56.02298 .01879 (56*2π)/3486 weeks
57.01573 .0205 (57*2π)/3486 weeks
58-.01037 .01777 (58*2π)/3486 weeks
59.01479 .01911 (59*2π)/3486 weeks
60-.00008 .01576 (60*2π)/3486 weeks
61.01382 .03179 (61*2π)/3486 weeks
62.00807 .02584 (62*2π)/3486 weeks
63.02276 .01734 (63*2π)/3486 weeks
64.00168 .02148 (64*2π)/3485 weeks
65.00767 .01818 (65*2π)/3485 weeks
66-.01207 .01843 (66*2π)/3485 weeks
67.0238 .01803 (67*2π)/3485 weeks
68.00174 .02704 (68*2π)/3485 weeks
69.01667 .02884 (69*2π)/3485 weeks
70-.00812 .01114 (70*2π)/3485 weeks
71-.00286 .01137 (71*2π)/3485 weeks
72.0103 .01802 (72*2π)/3485 weeks
73-.0062 .01625 (73*2π)/3485 weeks
74-.00519 .01475 (74*2π)/3485 weeks
75-.00193 .01312 (75*2π)/3485 weeks
76.00705 .01028 (76*2π)/3485 weeks
77-.0138 .00431 (77*2π)/3485 weeks
78.0099 .00897 (78*2π)/3484 weeks
79-.00515 .00407 (79*2π)/3484 weeks
80.02288 .00309 (80*2π)/3484 weeks
81-.0028 -.00163 (81*2π)/3484 weeks
82.00296 .00902 (82*2π)/3484 weeks
83-.00588 -.00071 (83*2π)/3484 weeks
84.01251 -.00342 (84*2π)/3484 weeks
85.01917 .00058 (85*2π)/3484 weeks
86.02127 .00513 (86*2π)/3484 weeks
87.01236 .01167 (87*2π)/3484 weeks
88.02076 .00587 (88*2π)/3484 weeks
89.00952 .00419 (89*2π)/3484 weeks
90.02139 .00215 (90*2π)/3484 weeks
91.01683 .00726 (91*2π)/3484 weeks
92.01826 -.00353 (92*2π)/3484 weeks
93.02463 .00553 (93*2π)/3484 weeks
94.02631 .02062 (94*2π)/3484 weeks
95.00628 .02508 (95*2π)/3484 weeks
96.01005 .00246 (96*2π)/3484 weeks
97.01002 .00956 (97*2π)/3484 weeks
98.01517 .00988 (98*2π)/3484 weeks
99.01684 .00896 (99*2π)/3484 weeks
100.01668 .01798 (100*2π)/3483 weeks
101.01621 .0136 (101*2π)/3483 weeks
102.0211 .01656 (102*2π)/3483 weeks
103.00436 .0207 (103*2π)/3483 weeks
104.00177 -.00355 (104*2π)/3483 weeks
105.01814 .01017 (105*2π)/3483 weeks
106.02393 .01845 (106*2π)/3483 weeks
107.01199 .01561 (107*2π)/3483 weeks
108-.00112 .02513 (108*2π)/3483 weeks
109.00946 .01406 (109*2π)/3483 weeks
110-.01436 .0044 (110*2π)/3483 weeks
111.02109 .01169 (111*2π)/3483 weeks
112.00473 .00857 (112*2π)/3483 weeks
113.00796 .00708 (113*2π)/3483 weeks
114.00724 -.00124 (114*2π)/3483 weeks
115.00643 .01591 (115*2π)/3483 weeks
116.01273 -.00582 (116*2π)/3483 weeks
117-.00931 .01048 (117*2π)/3483 weeks
118.02735 .00064 (118*2π)/3483 weeks
119.01131 .00763 (119*2π)/3483 weeks
120.01839 .01362 (120*2π)/3483 weeks
121-.00164 .01325 (121*2π)/3483 weeks
122.00082 -.00024 (122*2π)/3483 weeks
123-.00002 .00455 (123*2π)/3483 weeks
124.00534 .00814 (124*2π)/3483 weeks
125.01519 .01154 (125*2π)/3483 weeks
126.00871 .00429 (126*2π)/3483 weeks
127.00609 .00463 (127*2π)/3483 weeks
128-.01014 -.00229 (128*2π)/3483 weeks
129.0061 .00595 (129*2π)/3483 weeks
130.00342 -.00949 (130*2π)/3483 weeks
131.01138 -.00291 (131*2π)/3483 weeks
132.0061 -.00665 (132*2π)/3483 weeks
133.02142 -.00344 (133*2π)/3483 weeks
134.00111 -.00136 (134*2π)/3483 weeks
135.01345 .00733 (135*2π)/3483 weeks
136.01038 -.00656 (136*2π)/3483 weeks
137.01983 -.00623 (137*2π)/3483 weeks
138.02017 -.00273 (138*2π)/3483 weeks
139.0116 .0108 (139*2π)/3483 weeks
140.0025 -.00604 (140*2π)/3482 weeks
141.01495 .00165 (141*2π)/3482 weeks
142.01616 -.0031 (142*2π)/3482 weeks
143.01507 -.00584 (143*2π)/3482 weeks
144.02301 -.00304 (144*2π)/3482 weeks
145.00714 .00123 (145*2π)/3482 weeks
146.01624 .00191 (146*2π)/3482 weeks
147.00548 -.00164 (147*2π)/3482 weeks
148.02292 .00257 (148*2π)/3482 weeks
149.0112 -.00602 (149*2π)/3482 weeks
150.01991 .00322 (150*2π)/3482 weeks
151.01454 -.00528 (151*2π)/3482 weeks
152.01444 .01097 (152*2π)/3482 weeks
153.01527 -.00038 (153*2π)/3482 weeks
154.00076 .00084 (154*2π)/3482 weeks
155.02405 -.00468 (155*2π)/3482 weeks
156.01455 .00128 (156*2π)/3482 weeks
157.01515 .01319 (157*2π)/3482 weeks
158.01363 .00878 (158*2π)/3482 weeks
159-.00298 .01344 (159*2π)/3482 weeks
160.01305 .00104 (160*2π)/3482 weeks
161.0089 .00474 (161*2π)/3482 weeks
162.01739 .00214 (162*2π)/3482 weeks
163.00912 -.00109 (163*2π)/3482 weeks
164.01085 .00381 (164*2π)/3482 weeks
165.00758 .00713 (165*2π)/3482 weeks
166.00347 .00889 (166*2π)/3482 weeks
167.0034 -.00348 (167*2π)/3482 weeks
168.00054 .00788 (168*2π)/3482 weeks
169.0165 .00413 (169*2π)/3482 weeks
170-.00188 -.00118 (170*2π)/3482 weeks
171.00991 .00339 (171*2π)/3482 weeks
172.01049 -.00176 (172*2π)/3482 weeks
173.00633 -.00552 (173*2π)/3482 weeks
174.01161   (174*2π)/3482 weeks
175.00633 .00552 (175*2π)/3482 weeks
176.01049 .00176 (176*2π)/3482 weeks
177.00991 -.00339 (177*2π)/3482 weeks
178-.00188 .00118 (178*2π)/3482 weeks
179.0165 -.00413 (179*2π)/3482 weeks
180.00054 -.00788 (180*2π)/3482 weeks
181.0034 .00348 (181*2π)/3482 weeks
182.00347 -.00889 (182*2π)/3482 weeks
183.00758 -.00713 (183*2π)/3482 weeks
184.01085 -.00381 (184*2π)/3482 weeks
185.00912 .00109 (185*2π)/3482 weeks
186.01739 -.00214 (186*2π)/3482 weeks
187.0089 -.00474 (187*2π)/3482 weeks
188.01305 -.00104 (188*2π)/3482 weeks
189-.00298 -.01344 (189*2π)/3482 weeks
190.01363 -.00878 (190*2π)/3482 weeks
191.01515 -.01319 (191*2π)/3482 weeks
192.01455 -.00128 (192*2π)/3482 weeks
193.02405 .00468 (193*2π)/3482 weeks
194.00076 -.00084 (194*2π)/3482 weeks
195.01527 .00038 (195*2π)/3482 weeks
196.01444 -.01097 (196*2π)/3482 weeks
197.01454 .00528 (197*2π)/3482 weeks
198.01991 -.00322 (198*2π)/3482 weeks
199.0112 .00602 (199*2π)/3482 weeks
200.02292 -.00257 (200*2π)/3482 weeks
201.00548 .00164 (201*2π)/3482 weeks
202.01624 -.00191 (202*2π)/3482 weeks
203.00714 -.00123 (203*2π)/3482 weeks
204.02301 .00304 (204*2π)/3482 weeks
205.01507 .00584 (205*2π)/3482 weeks
206.01616 .0031 (206*2π)/3482 weeks
207.01495 -.00165 (207*2π)/3482 weeks
208.0025 .00604 (208*2π)/3482 weeks
209.0116 -.0108 (209*2π)/3482 weeks
210.02017 .00273 (210*2π)/3482 weeks
211.01983 .00623 (211*2π)/3482 weeks
212.01038 .00656 (212*2π)/3482 weeks
213.01345 -.00733 (213*2π)/3482 weeks
214.00111 .00136 (214*2π)/3482 weeks
215.02142 .00344 (215*2π)/3482 weeks
216.0061 .00665 (216*2π)/3482 weeks
217.01138 .00291 (217*2π)/3482 weeks
218.00342 .00949 (218*2π)/3482 weeks
219.0061 -.00595 (219*2π)/3482 weeks
220-.01014 .00229 (220*2π)/3482 weeks
221.00609 -.00463 (221*2π)/3482 weeks
222.00871 -.00429 (222*2π)/3482 weeks
223.01519 -.01154 (223*2π)/3482 weeks
224.00534 -.00814 (224*2π)/3482 weeks
225-.00002 -.00455 (225*2π)/3482 weeks
226.00082 .00024 (226*2π)/3482 weeks
227-.00164 -.01325 (227*2π)/3482 weeks
228.01839 -.01362 (228*2π)/3482 weeks
229.01131 -.00763 (229*2π)/3482 weeks
230.02735 -.00064 (230*2π)/3482 weeks
231-.00931 -.01048 (231*2π)/3482 weeks
232.01273 .00582 (232*2π)/3482 weeks
233.00643 -.01591 (233*2π)/3481 weeks
234.00724 .00124 (234*2π)/3481 weeks
235.00796 -.00708 (235*2π)/3481 weeks
236.00473 -.00857 (236*2π)/3481 weeks
237.02109 -.01169 (237*2π)/3481 weeks
238-.01436 -.0044 (238*2π)/3481 weeks
239.00946 -.01406 (239*2π)/3481 weeks
240-.00112 -.02513 (240*2π)/3481 weeks
241.01199 -.01561 (241*2π)/3481 weeks
242.02393 -.01845 (242*2π)/3481 weeks
243.01814 -.01017 (243*2π)/3481 weeks
244.00177 .00355 (244*2π)/3481 weeks
245.00436 -.0207 (245*2π)/3481 weeks
246.0211 -.01656 (246*2π)/3481 weeks
247.01621 -.0136 (247*2π)/3481 weeks
248.01668 -.01798 (248*2π)/3481 weeks
249.01684 -.00896 (249*2π)/3481 weeks
250.01517 -.00988 (250*2π)/3481 weeks
251.01002 -.00956 (251*2π)/3481 weeks
252.01005 -.00246 (252*2π)/3481 weeks
253.00628 -.02508 (253*2π)/3481 weeks
254.02631 -.02062 (254*2π)/3481 weeks
255.02463 -.00553 (255*2π)/3481 weeks
256.01826 .00353 (256*2π)/3481 weeks
257.01683 -.00726 (257*2π)/3481 weeks
258.02139 -.00215 (258*2π)/3481 weeks
259.00952 -.00419 (259*2π)/3481 weeks
260.02076 -.00587 (260*2π)/3481 weeks
261.01236 -.01167 (261*2π)/3481 weeks
262.02127 -.00513 (262*2π)/3481 weeks
263.01917 -.00058 (263*2π)/3481 weeks
264.01251 .00342 (264*2π)/3481 weeks
265-.00588 .00071 (265*2π)/3481 weeks
266.00296 -.00902 (266*2π)/3481 weeks
267-.0028 .00163 (267*2π)/3481 weeks
268.02288 -.00309 (268*2π)/3481 weeks
269-.00515 -.00407 (269*2π)/3481 weeks
270.0099 -.00897 (270*2π)/3481 weeks
271-.0138 -.00431 (271*2π)/3481 weeks
272.00705 -.01028 (272*2π)/3481 weeks
273-.00193 -.01312 (273*2π)/3481 weeks
274-.00519 -.01475 (274*2π)/3481 weeks
275-.0062 -.01625 (275*2π)/3481 weeks
276.0103 -.01802 (276*2π)/3481 weeks
277-.00286 -.01137 (277*2π)/3481 weeks
278-.00812 -.01114 (278*2π)/3481 weeks
279.01667 -.02884 (279*2π)/3481 weeks
280.00174 -.02704 (280*2π)/3481 weeks
281.0238 -.01803 (281*2π)/3481 weeks
282-.01207 -.01843 (282*2π)/3481 weeks
283.00767 -.01818 (283*2π)/3481 weeks
284.00168 -.02148 (284*2π)/3481 weeks
285.02276 -.01734 (285*2π)/3481 weeks
286.00807 -.02584 (286*2π)/3481 weeks
287.01382 -.03179 (287*2π)/3481 weeks
288-.00008 -.01576 (288*2π)/3481 weeks
289.01479 -.01911 (289*2π)/3481 weeks
290-.01037 -.01777 (290*2π)/3481 weeks
291.01573 -.0205 (291*2π)/3481 weeks
292.02298 -.01879 (292*2π)/3481 weeks
293.01896 -.03858 (293*2π)/3481 weeks
294.00842 -.02046 (294*2π)/3481 weeks
295.00242 -.01135 (295*2π)/3481 weeks
296.00804 -.0196 (296*2π)/3481 weeks
297.00031 -.028 (297*2π)/3481 weeks
298.01988 -.04215 (298*2π)/3481 weeks
299.01318 -.04726 (299*2π)/3481 weeks
300.02498 -.03262 (300*2π)/3481 weeks
301.01458 -.03021 (301*2π)/3481 weeks
302.02593 -.00518 (302*2π)/3481 weeks
303.04446 -.06227 (303*2π)/3481 weeks
304.01656 -.03057 (304*2π)/3481 weeks
305.04974 -.04022 (305*2π)/3481 weeks
306.03063 -.03105 (306*2π)/3481 weeks
307.02444 .0103 (307*2π)/3481 weeks
308.0478 -.00944 (308*2π)/3481 weeks
309.04385 .0026 (309*2π)/3481 weeks
310.02009 -.0041 (310*2π)/3481 weeks
311.0185 -.02953 (311*2π)/3481 weeks
312-.00518 -.01716 (312*2π)/3481 weeks
313.02437 -.01016 (313*2π)/3481 weeks
314.01455 .03122 (314*2π)/3481 weeks
315.01285 -.02404 (315*2π)/3481 weeks
316.00731 .00295 (316*2π)/3481 weeks
317-.0253 -.07071 (317*2π)/3481 weeks
318.02239 -.00321 (318*2π)/3481 weeks
319-.01536 -.04613 (319*2π)/3481 weeks
320.0134 -.03694 (320*2π)/3481 weeks
321.05246 -.03792 (321*2π)/3481 weeks
322.03257 -.02678 (322*2π)/3481 weeks
323.00018 -.01795 (323*2π)/3481 weeks
324.00938 -.02116 (324*2π)/3481 weeks
325-.04515 -.03919 (325*2π)/3481 weeks
326-.00238 -.02631 (326*2π)/3481 weeks
327.00434 -.02675 (327*2π)/3481 weeks
328.01536 -.00788 (328*2π)/3481 weeks
329-.02797 -.06151 (329*2π)/3481 weeks
330-.01885 -.02895 (330*2π)/3481 weeks
331-.05176 -.02733 (331*2π)/3481 weeks
332-.00516 -.05294 (332*2π)/3481 weeks
333-.03639 -.04758 (333*2π)/3481 weeks
334-.05124 -.1187 (334*2π)/3481 weeks
335-.00947 -.15703 (335*2π)/3481 weeks
336-.01431 -.04652 (336*2π)/3481 weeks
337-.09477 -.15744 (337*2π)/3481 weeks
338-.12398 -.18482 (338*2π)/3481 weeks
339.08221 -.31003 (339*2π)/3481 weeks
340.00433 -.22575 (340*2π)/3481 weeks
341.04794 -.26434 (341*2π)/3481 weeks
342.09288 -.27191 (342*2π)/3481 weeks
343-.14685 -.47588 (343*2π)/3481 weeks
344.35961 -.34525 (344*2π)/3481 weeks
345-.08136 -.48724 (345*2π)/3481 weeks
346.82385 -.88355 (346*2π)/3481 weeks