Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries

One of the major problems faced in the management of pension funds and plan is how to allocate and control the future flow of contribution likewise the proportion of portfolio value and investments in risky assets. This work considers the management of a pension plan by means of a stochastic dynamic...

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Main Authors: Tolulope Latunde, Opeyemi Odunayo Esan, Joseph Oluwaseun Richard, Damilola Deborah Dare
Format: Article
Language:English
Published: Nigerian Society of Physical Sciences 2020-01-01
Series:Journal of Nigerian Society of Physical Sciences
Subjects:
Online Access:https://journal.nsps.org.ng/index.php/jnsps/article/view/22
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author Tolulope Latunde
Opeyemi Odunayo Esan
Joseph Oluwaseun Richard
Damilola Deborah Dare
author_facet Tolulope Latunde
Opeyemi Odunayo Esan
Joseph Oluwaseun Richard
Damilola Deborah Dare
author_sort Tolulope Latunde
collection DOAJ
description One of the major problems faced in the management of pension funds and plan is how to allocate and control the future flow of contribution likewise the proportion of portfolio value and investments in risky assets. This work considers the management of a pension plan by means of a stochastic dynamic programming model based on Merton's model. The model is analyzed such that the conditions of optimal contribution and investment in risky assets are determined and sensitized. The case study of Nigeria, Ghana, Kenya is considered for various periods in the model simulation. Thus, the volatility condition obtained is used to estimate the efficiency of some important parameters of the model.
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spelling doaj.art-a9b4c7ce80bb45edbbd3119afc720d9b2022-12-22T03:27:17ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042020-01-012110.46481/jnsps.2020.22Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income CountriesTolulope Latunde0Opeyemi Odunayo Esan1Joseph Oluwaseun Richard2Damilola Deborah Dare3Federal University Oye-EkitiDepartment of Mathematics, Federal University Oye-EkitiDepartment of Mathematics, Federal University Oye-EkitiDepartment of Mathematics, Federal University Oye-EkitiOne of the major problems faced in the management of pension funds and plan is how to allocate and control the future flow of contribution likewise the proportion of portfolio value and investments in risky assets. This work considers the management of a pension plan by means of a stochastic dynamic programming model based on Merton's model. The model is analyzed such that the conditions of optimal contribution and investment in risky assets are determined and sensitized. The case study of Nigeria, Ghana, Kenya is considered for various periods in the model simulation. Thus, the volatility condition obtained is used to estimate the efficiency of some important parameters of the model.https://journal.nsps.org.ng/index.php/jnsps/article/view/22Pensionstochasticcontrolrisky assetparameters
spellingShingle Tolulope Latunde
Opeyemi Odunayo Esan
Joseph Oluwaseun Richard
Damilola Deborah Dare
Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries
Journal of Nigerian Society of Physical Sciences
Pension
stochastic
control
risky asset
parameters
title Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries
title_full Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries
title_fullStr Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries
title_full_unstemmed Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries
title_short Analysis of a Stochastic Optimal Control for Pension Funds and Application to Investments in Lower Middle-Income Countries
title_sort analysis of a stochastic optimal control for pension funds and application to investments in lower middle income countries
topic Pension
stochastic
control
risky asset
parameters
url https://journal.nsps.org.ng/index.php/jnsps/article/view/22
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AT josepholuwaseunrichard analysisofastochasticoptimalcontrolforpensionfundsandapplicationtoinvestmentsinlowermiddleincomecountries
AT damiloladeborahdare analysisofastochasticoptimalcontrolforpensionfundsandapplicationtoinvestmentsinlowermiddleincomecountries