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# Fourier Analysis of GHY (Prudential Global Short Duration High Yield Fund)

GHY (Prudential Global Short Duration High Yield Fund) appears to have interesting cyclic behaviour every 22 weeks (.086*sine), 19 weeks (.0763*cosine), and 12 weeks (.0643*cosine).

GHY (Prudential Global Short Duration High Yield Fund) has an average price of 12.58 (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 12/24/2012 to 5/21/2018 for GHY (Prudential Global Short Duration High Yield Fund), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
012.57917   0
1.48319 -.94197 (1*2π)/283283 weeks
2-.30706 -.65897 (2*2π)/283142 weeks
3.18251 -.23692 (3*2π)/28394 weeks
4.00571 -.23006 (4*2π)/28371 weeks
5.12537 .15574 (5*2π)/28357 weeks
6-.05978 -.12467 (6*2π)/28347 weeks
7.02335 -.09894 (7*2π)/28340 weeks
8-.00867 .06008 (8*2π)/28335 weeks
9-.02896 -.09357 (9*2π)/28331 weeks
10.01175 -.04319 (10*2π)/28328 weeks
11-.02376 -.04126 (11*2π)/28326 weeks
12-.00178 -.02938 (12*2π)/28324 weeks
13.02166 -.08604 (13*2π)/28322 weeks
14-.03463 -.0111 (14*2π)/28320 weeks
15.07633 -.02501 (15*2π)/28319 weeks
16.01631 -.01141 (16*2π)/28318 weeks
17-.00331 -.04969 (17*2π)/28317 weeks
18.01245 -.02858 (18*2π)/28316 weeks
19-.01746 .00413 (19*2π)/28315 weeks
20.02152 -.02451 (20*2π)/28314 weeks
21.00166 -.02055 (21*2π)/28313 weeks
22-.04814 .01558 (22*2π)/28313 weeks
23-.00286 -.01818 (23*2π)/28312 weeks
24-.06426 .02618 (24*2π)/28312 weeks
25.02938 -.04366 (25*2π)/28311 weeks
26.00183 -.013 (26*2π)/28311 weeks
27.03328 -.02054 (27*2π)/28310 weeks
28-.02699 -.04077 (28*2π)/28310 weeks
29.02033 .01515 (29*2π)/28310 weeks
30-.00522 -.00878 (30*2π)/2839 weeks
31-.02077 -.00684 (31*2π)/2839 weeks
32.00366 -.03307 (32*2π)/2839 weeks
33-.01159 .02632 (33*2π)/2839 weeks
34-.01144 -.03663 (34*2π)/2838 weeks
35-.02496 -.00745 (35*2π)/2838 weeks
36-.00787 -.00028 (36*2π)/2838 weeks
37-.01758 -.00315 (37*2π)/2838 weeks
38-.01052 .00198 (38*2π)/2837 weeks
39-.00784 .00158 (39*2π)/2837 weeks
40-.01232 -.00928 (40*2π)/2837 weeks
41-.02747 -.01398 (41*2π)/2837 weeks
42-.00442 -.0275 (42*2π)/2837 weeks
43.01189 .00428 (43*2π)/2837 weeks
44.01327 -.02539 (44*2π)/2836 weeks
45.00115 -.0161 (45*2π)/2836 weeks
46-.00608 .0109 (46*2π)/2836 weeks
47-.00594 -.00949 (47*2π)/2836 weeks
48-.03022 -.01151 (48*2π)/2836 weeks
49-.0126 -.00284 (49*2π)/2836 weeks
50-.01466 -.02419 (50*2π)/2836 weeks
51.00219 -.01489 (51*2π)/2836 weeks
52.00911 -.01748 (52*2π)/2835 weeks
53-.01355 .00195 (53*2π)/2835 weeks
54-.00372 -.01179 (54*2π)/2835 weeks
55-.02099 -.01087 (55*2π)/2835 weeks
56.00957 -.02 (56*2π)/2835 weeks
57-.02075 -.01041 (57*2π)/2835 weeks
58.01979 -.00859 (58*2π)/2835 weeks
59-.00834 -.02921 (59*2π)/2835 weeks
60.01316 .01696 (60*2π)/2835 weeks
61-.00389 -.00586 (61*2π)/2835 weeks
62.00757 -.00816 (62*2π)/2835 weeks
63-.01083 .0065 (63*2π)/2834 weeks
64-.00703 .00813 (64*2π)/2834 weeks
65.0137 -.01026 (65*2π)/2834 weeks
66-.01427 -.0087 (66*2π)/2834 weeks
67-.01355 .00339 (67*2π)/2834 weeks
68-.00561 -.01024 (68*2π)/2834 weeks
69-.01426 .00154 (69*2π)/2834 weeks
70-.00278 -.01531 (70*2π)/2834 weeks
71-.00226 .00405 (71*2π)/2834 weeks
72-.00331 -.00791 (72*2π)/2834 weeks
73-.00631 -.00843 (73*2π)/2834 weeks
74.00244 .00838 (74*2π)/2834 weeks
75-.00657 -.01096 (75*2π)/2834 weeks
76-.00552 .00194 (76*2π)/2834 weeks
77.00276 .00831 (77*2π)/2834 weeks
78-.00067   (78*2π)/2834 weeks
79-.00656 -.02386 (79*2π)/2834 weeks
80.00071 .00347 (80*2π)/2834 weeks
81-.00645 -.01084 (81*2π)/2833 weeks
82-.00097 -.00118 (82*2π)/2833 weeks
83-.01581 -.02265 (83*2π)/2833 weeks
84-.00422 .00458 (84*2π)/2833 weeks
85-.01073 -.00429 (85*2π)/2833 weeks
86.00036 -.00668 (86*2π)/2833 weeks
87.00784 -.01696 (87*2π)/2833 weeks
88-.01017 .02296 (88*2π)/2833 weeks
89-.01658 -.00769 (89*2π)/2833 weeks
90-.01569 .01948 (90*2π)/2833 weeks
91-.00147 -.00355 (91*2π)/2833 weeks
92-.01622 .00409 (92*2π)/2833 weeks
93-.00238 -.00344 (93*2π)/2833 weeks
94-.01101 -.00823 (94*2π)/2833 weeks
95-.00182 -.00465 (95*2π)/2833 weeks
96-.00088 -.00875 (96*2π)/2833 weeks
97.00238 -.01118 (97*2π)/2833 weeks
98.00256 .00155 (98*2π)/2833 weeks
99-.00947 .00285 (99*2π)/2833 weeks
100-.00218 -.00256 (100*2π)/2833 weeks
101-.01392 -.0108 (101*2π)/2833 weeks
102-.01859 .00978 (102*2π)/2833 weeks
103-.01182 -.01339 (103*2π)/2833 weeks
104-.00295 -.00874 (104*2π)/2833 weeks
105-.00868 -.01618 (105*2π)/2833 weeks
106-.00904 -.01488 (106*2π)/2833 weeks
107.02006 -.01762 (107*2π)/2833 weeks
108-.00199 .01291 (108*2π)/2833 weeks
109.00312 -.00741 (109*2π)/2833 weeks
110-.00164 .01022 (110*2π)/2833 weeks
111.00958 .00991 (111*2π)/2833 weeks
112-.01524 .00798 (112*2π)/2833 weeks
113.00176 .00163 (113*2π)/2833 weeks
114-.01147 -.00556 (114*2π)/2832 weeks
115-.00599 .00156 (115*2π)/2832 weeks
116-.01164 -.01009 (116*2π)/2832 weeks
117-.00229 .01084 (117*2π)/2832 weeks
118-.00453 -.00376 (118*2π)/2832 weeks
119-.00533 -.00747 (119*2π)/2832 weeks
120-.00237 -.00453 (120*2π)/2832 weeks
121.00421 .00871 (121*2π)/2832 weeks
122-.01041 .00122 (122*2π)/2832 weeks
123.00452 -.00697 (123*2π)/2832 weeks
124-.00405 .00862 (124*2π)/2832 weeks
125-.00812 -.00172 (125*2π)/2832 weeks
126-.00165 -.0043 (126*2π)/2832 weeks
127-.01018 -.00215 (127*2π)/2832 weeks
128-.01407 .00011 (128*2π)/2832 weeks
129-.00354 -.00992 (129*2π)/2832 weeks
130.00504 -.00708 (130*2π)/2832 weeks
131-.00108 -.00441 (131*2π)/2832 weeks
132.00453 .00402 (132*2π)/2832 weeks
133-.00864 .00966 (133*2π)/2832 weeks
134-.00466 -.00435 (134*2π)/2832 weeks
135.00125 .02251 (135*2π)/2832 weeks
136-.0141 .00477 (136*2π)/2832 weeks
137-.01433 .00832 (137*2π)/2832 weeks
138-.00285 -.00366 (138*2π)/2832 weeks
139-.0181 .00659 (139*2π)/2832 weeks
140-.00338 -.01927 (140*2π)/2832 weeks
141-.00973 .00492 (141*2π)/2832 weeks
142-.00973 -.00492 (142*2π)/2832 weeks
143-.00338 .01927 (143*2π)/2832 weeks
144-.0181 -.00659 (144*2π)/2832 weeks
145-.00285 .00366 (145*2π)/2832 weeks
146-.01433 -.00832 (146*2π)/2832 weeks
147-.0141 -.00477 (147*2π)/2832 weeks
148.00125 -.02251 (148*2π)/2832 weeks
149-.00466 .00435 (149*2π)/2832 weeks
150-.00864 -.00966 (150*2π)/2832 weeks
151.00453 -.00402 (151*2π)/2832 weeks
152-.00108 .00441 (152*2π)/2832 weeks
153.00504 .00708 (153*2π)/2832 weeks
154-.00354 .00992 (154*2π)/2832 weeks
155-.01407 -.00011 (155*2π)/2832 weeks
156-.01018 .00215 (156*2π)/2832 weeks
157-.00165 .0043 (157*2π)/2832 weeks
158-.00812 .00172 (158*2π)/2832 weeks
159-.00405 -.00862 (159*2π)/2832 weeks
160.00452 .00697 (160*2π)/2832 weeks
161-.01041 -.00122 (161*2π)/2832 weeks
162.00421 -.00871 (162*2π)/2832 weeks
163-.00237 .00453 (163*2π)/2832 weeks
164-.00533 .00747 (164*2π)/2832 weeks
165-.00453 .00376 (165*2π)/2832 weeks
166-.00229 -.01084 (166*2π)/2832 weeks
167-.01164 .01009 (167*2π)/2832 weeks
168-.00599 -.00156 (168*2π)/2832 weeks
169-.01147 .00556 (169*2π)/2832 weeks
170.00176 -.00163 (170*2π)/2832 weeks
171-.01524 -.00798 (171*2π)/2832 weeks
172.00958 -.00991 (172*2π)/2832 weeks
173-.00164 -.01022 (173*2π)/2832 weeks
174.00312 .00741 (174*2π)/2832 weeks
175-.00199 -.01291 (175*2π)/2832 weeks
176.02006 .01762 (176*2π)/2832 weeks
177-.00904 .01488 (177*2π)/2832 weeks
178-.00868 .01618 (178*2π)/2832 weeks
179-.00295 .00874 (179*2π)/2832 weeks
180-.01182 .01339 (180*2π)/2832 weeks
181-.01859 -.00978 (181*2π)/2832 weeks
182-.01392 .0108 (182*2π)/2832 weeks
183-.00218 .00256 (183*2π)/2832 weeks
184-.00947 -.00285 (184*2π)/2832 weeks
185.00256 -.00155 (185*2π)/2832 weeks
186.00238 .01118 (186*2π)/2832 weeks
187-.00088 .00875 (187*2π)/2832 weeks
188-.00182 .00465 (188*2π)/2832 weeks
189-.01101 .00823 (189*2π)/2831 weeks
190-.00238 .00344 (190*2π)/2831 weeks
191-.01622 -.00409 (191*2π)/2831 weeks
192-.00147 .00355 (192*2π)/2831 weeks
193-.01569 -.01948 (193*2π)/2831 weeks
194-.01658 .00769 (194*2π)/2831 weeks
195-.01017 -.02296 (195*2π)/2831 weeks
196.00784 .01696 (196*2π)/2831 weeks
197.00036 .00668 (197*2π)/2831 weeks
198-.01073 .00429 (198*2π)/2831 weeks
199-.00422 -.00458 (199*2π)/2831 weeks
200-.01581 .02265 (200*2π)/2831 weeks
201-.00097 .00118 (201*2π)/2831 weeks
202-.00645 .01084 (202*2π)/2831 weeks
203.00071 -.00347 (203*2π)/2831 weeks
204-.00656 .02386 (204*2π)/2831 weeks
205-.00067   (205*2π)/2831 weeks
206.00276 -.00831 (206*2π)/2831 weeks
207-.00552 -.00194 (207*2π)/2831 weeks
208-.00657 .01096 (208*2π)/2831 weeks
209.00244 -.00838 (209*2π)/2831 weeks
210-.00631 .00843 (210*2π)/2831 weeks
211-.00331 .00791 (211*2π)/2831 weeks
212-.00226 -.00405 (212*2π)/2831 weeks
213-.00278 .01531 (213*2π)/2831 weeks
214-.01426 -.00154 (214*2π)/2831 weeks
215-.00561 .01024 (215*2π)/2831 weeks
216-.01355 -.00339 (216*2π)/2831 weeks
217-.01427 .0087 (217*2π)/2831 weeks
218.0137 .01026 (218*2π)/2831 weeks
219-.00703 -.00813 (219*2π)/2831 weeks
220-.01083 -.0065 (220*2π)/2831 weeks
221.00757 .00816 (221*2π)/2831 weeks
222-.00389 .00586 (222*2π)/2831 weeks
223.01316 -.01696 (223*2π)/2831 weeks
224-.00834 .02921 (224*2π)/2831 weeks
225.01979 .00859 (225*2π)/2831 weeks
226-.02075 .01041 (226*2π)/2831 weeks
227.00957 .02 (227*2π)/2831 weeks
228-.02099 .01087 (228*2π)/2831 weeks
229-.00372 .01179 (229*2π)/2831 weeks
230-.01355 -.00195 (230*2π)/2831 weeks
231.00911 .01748 (231*2π)/2831 weeks
232.00219 .01489 (232*2π)/2831 weeks
233-.01466 .02419 (233*2π)/2831 weeks
234-.0126 .00284 (234*2π)/2831 weeks
235-.03022 .01151 (235*2π)/2831 weeks
236-.00594 .00949 (236*2π)/2831 weeks
237-.00608 -.0109 (237*2π)/2831 weeks
238.00115 .0161 (238*2π)/2831 weeks
239.01327 .02539 (239*2π)/2831 weeks
240.01189 -.00428 (240*2π)/2831 weeks
241-.00442 .0275 (241*2π)/2831 weeks
242-.02747 .01398 (242*2π)/2831 weeks
243-.01232 .00928 (243*2π)/2831 weeks
244-.00784 -.00158 (244*2π)/2831 weeks
245-.01052 -.00198 (245*2π)/2831 weeks
246-.01758 .00315 (246*2π)/2831 weeks
247-.00787 .00028 (247*2π)/2831 weeks
248-.02496 .00745 (248*2π)/2831 weeks
249-.01144 .03663 (249*2π)/2831 weeks
250-.01159 -.02632 (250*2π)/2831 weeks
251.00366 .03307 (251*2π)/2831 weeks
252-.02077 .00684 (252*2π)/2831 weeks
253-.00522 .00878 (253*2π)/2831 weeks
254.02033 -.01515 (254*2π)/2831 weeks
255-.02699 .04077 (255*2π)/2831 weeks
256.03328 .02054 (256*2π)/2831 weeks
257.00183 .013 (257*2π)/2831 weeks
258.02938 .04366 (258*2π)/2831 weeks
259-.06426 -.02618 (259*2π)/2831 weeks
260-.00286 .01818 (260*2π)/2831 weeks
261-.04814 -.01558 (261*2π)/2831 weeks
262.00166 .02055 (262*2π)/2831 weeks
263.02152 .02451 (263*2π)/2831 weeks
264-.01746 -.00413 (264*2π)/2831 weeks
265.01245 .02858 (265*2π)/2831 weeks
266-.00331 .04969 (266*2π)/2831 weeks
267.01631 .01141 (267*2π)/2831 weeks
268.07633 .02501 (268*2π)/2831 weeks
269-.03463 .0111 (269*2π)/2831 weeks
270.02166 .08604 (270*2π)/2831 weeks
271-.00178 .02938 (271*2π)/2831 weeks
272-.02376 .04126 (272*2π)/2831 weeks
273.01175 .04319 (273*2π)/2831 weeks
274-.02896 .09357 (274*2π)/2831 weeks
275-.00867 -.06008 (275*2π)/2831 weeks
276.02335 .09894 (276*2π)/2831 weeks
277-.05978 .12467 (277*2π)/2831 weeks
278.12537 -.15574 (278*2π)/2831 weeks
279.00571 .23006 (279*2π)/2831 weeks
280.18251 .23692 (280*2π)/2831 weeks
281-.30706 .65897 (281*2π)/2831 weeks