On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession

Philip Ajibola Bankole; Ezekiel Kadejo Ojo; Mary Olukemi Odumosu

doi:doi:10.11648/j.dmath.20170204.12

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On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession

Philip Ajibola Bankole, Ezekiel Kadejo Ojo, Mary Olukemi Odumosu

Published in International Journal of Discrete Mathematics (Volume 2, Issue 4)

Received: 26 February 2017 Accepted: 27 March 2017 Published: 8 June 2017

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Abstract

Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.

Published in	International Journal of Discrete Mathematics (Volume 2, Issue 4)
DOI	10.11648/j.dmath.20170204.12
Page(s)	125-131
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Recurrence Relations (RR), Price Dynamics, Economic Recession

References

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[4]	S. Niloufar, Solving linear recurrence relations. http://www.cse.yorku.ca/course_archive/2007-08/F/1019/A/recurrence.pdf.
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[8]	L. Yuh-Dauh, Recurrence Relations (Difference Equations). National Taiwan University, 2012, pp 504-555.
[9]	Y. Henry, A new kind of Solution, and an Application to Recurrence Relations, 2011, pp. 1-6.
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[11]	G. Ajay, and Don Nelson, Summations and Recurrence Relations1 CS331 and CS531 Design and Analysis of Algorithms, 2003, pp. 1-19.
[12]	A. L. Miguel, Recurrence Relations, 2003, pp.1-5.
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[15]	C. Marcelle, An Econometric characterization of business cycle dynamics with factor structure and regime switching. International Economic Review. 1998, Vol. 39, No. 2, 969-96.
[16]	Alexei Krouglov, Simplified Mathematical model of financial crisis. https://mpra.ub.uni-muenchen.de/44021/MPRA Paper No. 44021, posted 27. January 2013 20:35 UTC.
[17]	Yi Wen and Jing Wu, Withstanding Great Recession like China. Working Paper 2014-007A http://research.stlouisfed.org/wp/2014/2014-007.pdf.
[18]	I. Anderson, A First Course in Discrete Mathematics. Springer-Verlag, London, 2001.
[19]	Zhen Huo, Jose-Victor Rios-Rull. Frictions, Asset Price and the Great Recession, 2015, pp. 1-8
[20]	Gilchrist Simon, Raphael Schoenle, Jae W. Sim, and Egon Zakrajsek. Inflation Dynamics during the Financial Crisis. Finance Economics Discussion Series 2015-012. Washington: Board of Governors of the Federl Reserve System, http://dx.doi.org/10.17016/FEDS.2015-012. pp. 1-5
[21]	Luigi Paciello, Andrea Pozzi, Nicholas Trachter. Price Dynamics with Customer Markets. February 2016, pp. 1-50.
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[23]	S. Yu. Slavyanov. A “differential” derivation of the recurrence relations for the classical orthogonal polynomials. Journal of Computational and Applied Mathematics 49 (1993) 251-254North-Holland. Pp.1-4.
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APA Style

Philip Ajibola Bankole, Ezekiel Kadejo Ojo, Mary Olukemi Odumosu. (2017). On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession. International Journal of Discrete Mathematics, 2(4), 125-131. https://doi.org/10.11648/j.dmath.20170204.12

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ACS Style

Philip Ajibola Bankole; Ezekiel Kadejo Ojo; Mary Olukemi Odumosu. On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession. Int. J. Discrete Math. 2017, 2(4), 125-131. doi: 10.11648/j.dmath.20170204.12

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AMA Style

Philip Ajibola Bankole, Ezekiel Kadejo Ojo, Mary Olukemi Odumosu. On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession. Int J Discrete Math. 2017;2(4):125-131. doi: 10.11648/j.dmath.20170204.12

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@article{10.11648/j.dmath.20170204.12,
  author = {Philip Ajibola Bankole and Ezekiel Kadejo Ojo and Mary Olukemi Odumosu},
  title = {On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession},
  journal = {International Journal of Discrete Mathematics},
  volume = {2},
  number = {4},
  pages = {125-131},
  doi = {10.11648/j.dmath.20170204.12},
  url = {https://doi.org/10.11648/j.dmath.20170204.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170204.12},
  abstract = {Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.},
 year = {2017}
}

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TY  - JOUR
T1  - On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession
AU  - Philip Ajibola Bankole
AU  - Ezekiel Kadejo Ojo
AU  - Mary Olukemi Odumosu
Y1  - 2017/06/08
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170204.12
DO  - 10.11648/j.dmath.20170204.12
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
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PB  - Science Publishing Group
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UR  - https://doi.org/10.11648/j.dmath.20170204.12
AB  - Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.
VL  - 2
IS  - 4
ER  -

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Author Information

Philip Ajibola Bankole

Department of Mathematics, University of Ibadan, Ibadan, Nigeria
Ezekiel Kadejo Ojo

Department of Mathematics, Adeniran Ogunsanya College of Education, Otto/Ijanikin, Nigeria
Mary Olukemi Odumosu

Department of Mathematics, Adeniran Ogunsanya College of Education, Otto/Ijanikin, Nigeria

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APA Style

Philip Ajibola Bankole, Ezekiel Kadejo Ojo, Mary Olukemi Odumosu. (2017). On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession. International Journal of Discrete Mathematics, 2(4), 125-131. https://doi.org/10.11648/j.dmath.20170204.12

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ACS Style

Philip Ajibola Bankole; Ezekiel Kadejo Ojo; Mary Olukemi Odumosu. On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession. Int. J. Discrete Math. 2017, 2(4), 125-131. doi: 10.11648/j.dmath.20170204.12

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AMA Style

Philip Ajibola Bankole, Ezekiel Kadejo Ojo, Mary Olukemi Odumosu. On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession. Int J Discrete Math. 2017;2(4):125-131. doi: 10.11648/j.dmath.20170204.12

Copy | Download

@article{10.11648/j.dmath.20170204.12,
  author = {Philip Ajibola Bankole and Ezekiel Kadejo Ojo and Mary Olukemi Odumosu},
  title = {On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession},
  journal = {International Journal of Discrete Mathematics},
  volume = {2},
  number = {4},
  pages = {125-131},
  doi = {10.11648/j.dmath.20170204.12},
  url = {https://doi.org/10.11648/j.dmath.20170204.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170204.12},
  abstract = {Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - On Recurrence Relations and Application in Predicting Price Dynamics in the Presence of Economic Recession
AU  - Philip Ajibola Bankole
AU  - Ezekiel Kadejo Ojo
AU  - Mary Olukemi Odumosu
Y1  - 2017/06/08
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170204.12
DO  - 10.11648/j.dmath.20170204.12
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 125
EP  - 131
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170204.12
AB  - Recurrence relations is one of the fundamental Mathematical tools of computation as most computational tasks rely on recursive techniques at one time or the other. In this paper, we present some important theorems on recurrence relations and give more simplified approach of determining an explicit formula for a given recurrence relation subject to specified boundary values (initial conditions). We recursively apply Recurrence Relation technique to model Economic wealth decay as a result of recession. We show both numerical computation and graphical representation of our simple model and analysis of market price dynamics due to Economic recession.
VL  - 2
IS  - 4
ER  -

Copy | Download