Evaluation of financial models for portfolio optimization in Nigeria’s non-interest real estate sector: Integrating mean-variance optimization, the capital asset pricing model, and Value-at-Risk analysis

Authors

  • Jeremiah Adamu Rikaya
    Department of Estate Management and Valuation, School of Environmental Studies, Plateau State Polytechnic, Barkin-Ladi
  • Hannatu Lucius Datukun
    Department of Estate Management and Valuation, School of Environmental Studies, Plateau State Polytechnic, Barkin-Ladi
  • Pheobe Oine Rikaya
    Department of Computer Engineering, School of Engineering, Plateau State Polytechnic, Barkin-Ladi
  • Job Olanipekun Israel
    Department of Mathematical Sciences (Statistics), College of Computing, Engineering and Science, Faculty of Physical Sciences, Kaduna State University, Kaduna, Nigeria

Keywords:

Financial modeling, Portfolio management, Real estate investment, Sukuk instruments, Risk analysis

Abstract

This study evaluates how modern financial-modeling tools can improve investment decision-making in Nigeria's non-interest real estate sector. Secondary data covering 2018--2024 were obtained from the Central Bank of Nigeria (CBN), Nigerian Exchange Group (NGX), and Real Estate Investment Trusts (REITs). Three models were applied within an Islamic-finance framework: Mean-Variance Optimization (MVO), the Capital Asset Pricing Model (CAPM), and Value-at-Risk (VaR). The empirical results indicate that appropriately modeled non-interest portfolios outperformed conventional benchmarks. On average, optimized portfolios achieved a 17.6% improvement in expected return and a 12.9% reduction in risk. The inclusion of Sukuk-backed instruments significantly stabilized portfolio returns, contributing to an overall 12.9% reduction in portfolio risk and lower drawdown compared to conventional benchmarks. Regression and sensitivity analyses yielded R2 = 0.88 and p < 0.05, indicating strong explanatory power. The study concludes that structured financial modeling can support ethical investment and long-term wealth creation in Nigeria's real estate sector. It recommends wider use of data-driven investment tools, gradual adoption of advanced analytical methods such as machine learning, and stronger coordination among the CBN, Securities and Exchange Commission (SEC), and National Insurance Commission (NAICOM) to improve transparency, regulation, and portfolio management in Nigeria's expanding non-interest financial system.

Dimensions

[1] Islamic Financial Services Board, Islamic Financial Services Industry Stability Report 2025, Kuala Lumpur, Malaysia, 2025. Available online: https://www.ifsb.org/publication-document/islamic-financial-services-industry-stability-report-2025/.

[2] Ernst & Young, Global Islamic Banking Outlook 2024, EY Global, London, UK, 2024. Available online: https://www.ey.com.

[3] Deloitte, The Future of Islamic Finance: Trends, Risks and Opportunities, Deloitte Insights, London, UK, 2024. Available online: https://www2.deloitte.com.

[4] Debt Management Office, FGN Sukuk Performance Report 2024, Abuja, Nigeria, 2024. Available online: https://www.dmo.gov.ng/fgn-bonds/sovereign-sukuk.

[5] Nigerian Exchange Group, Annual Market Report 2024, Lagos, Nigeria, 2024. Available online: https://ngxgroup.com.

[6] Central Bank of Nigeria, Financial Stability Report December 2024, Abuja, Nigeria, 2024. Available online: https://www.cbn.gov.ng/Out/2025/FPRD/DECEMBER%202024%20FINANCIAL%20STABILITY%20REPORT%20FINAL.pdf.

[7] International Monetary Fund, Global Financial Stability Report 2025: Navigating Global Financial Risks, Washington, DC, USA, 2025. Available online: https://www.imf.org/en/publications/gfsr/issues/2025/10/14/global-financial-stability-report-october-2025.

[8] World Bank, Global Economic Prospects 2025, Washington, DC, USA, 2025. Available online: https://thedocs.worldbank.org/en/doc/8bf0b62ec6bcb886d97295ad930059e9-0050012025/original/GEP-June-2025.pdf.

[9] World Economic Forum, Global Risks Report 2025, Geneva, Switzerland, 2025. Available online: https://www.weforum.org/publications/global-risks-report-2025/.

[10] Organisation for Economic Co-operation and Development, OECD Economic Outlook 2025, Paris, France, 2025. Available online: https://www.oecd.org/en/publications/2025/12/oecd-economic-outlook-volume-2025-issue-2_413f7d0a.html.

[11] H. Markowitz, ``Portfolio selection'', The Journal of Finance 7 (1952) 77. https://doi.org/10.1111/j.1540-6261.1952.tb01525.x.

[12] H. M. Markowitz, Portfolio Selection: Efficient Diversification of Investments, Yale University Press, New Haven, USA, 1959. https://books.google.com.ng/books?hl=en&lr=&id=GZDyAAAAQBAJ&oi=fnd&pg=PP2&dq=H.+M.+Markowitz,+Portfolio+Selection:+Efficient+Diversification+of+Invest-+ments,+Yale+University+Press,+New+Haven,+USA,+1959.&ots=7cFsU8MxyT&sig=chDFA5E_2PwOxtE5vyAywzqmT2Y&redir_esc=y#v=onepage&q&f=false

[13] R. C. Merton, ``An analytic derivation of the efficient portfolio frontier'', Journal of Financial and Quantitative Analysis 7 (1972) 1851. https://doi.org/10.2307/2329621.

[14] U. Derigs & S. Marzban, ``Review and analysis of current Shariah-compliant equity screening practices'', International Journal of Islamic and Middle Eastern Finance and Management 1 (2008) 285. https://doi.org/10.1108/17538390810919600.

[15] M. Hoque, ``Islamic finance products and portfolio diversification: Evidence from Sukuk markets'', Journal of Islamic Accounting and Business Research 14 (2023) 1015. https://doi.org/10.1108/JIABR-04-2022-0098.

[16] S&P Global Ratings, Global Sukuk Outlook 2025, New York, USA, 2025. Available online: https://www.spglobal.com.

[17] F. Black, M. C. Jensen & M. Scholes, ``The capital asset pricing model: Some empirical tests'', in Studies in the Theory of Capital Markets, M. C. Jensen (Ed.), Praeger Publishers, New York, USA, 1972, pp. 79--121. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=908569

[18] W. F. Sharpe, ``Capital asset prices: A theory of market equilibrium under conditions of risk'', The Journal of Finance 19 (1964) 425. https://doi.org/10.1111/j.1540-6261.1964.tb02865.x.

[19] J. Lintner, ``The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets'', Review of Economics and Statistics 47 (1965) 13. https://doi.org/10.2307/1924119.

[20] P. Jorion, Value at Risk: The New Benchmark for Managing Financial Risk, 3rd ed., McGraw-Hill, New York, USA, 2007. https://books.google.com.ng/books?id=nnblKhI7KP8C&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false

[21] J. C. Hull, Risk Management and Financial Institutions, 6th ed., Wiley, Hoboken, USA, 2023. https://www.wiley.com/en-fr/shop/general-finance-investments/risk-management-and-financial-institutions-6th-edition-p-9781119932482

[22] MSCI, Global Real Estate Market Review 2024, MSCI Inc., New York, USA, 2024. Available online: https://www.msci.com.

[23] FTSE Russell, Global REIT Index Series Annual Review 2024, London Stock Exchange Group, London, UK, 2024. Available online: https://www.lseg.com/en/ftse-russell.

[24] H. Konno & H. Yamazaki, ``Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market'', Management Science 37 (1991) 501. https://doi.org/10.1287/mnsc.37.5.519.

[25] S. Boyd & L. Vandenberghe, Convex Optimization, Cambridge University Press, Cambridge, UK, 2004. Available online: https://web.stanford.edu/~boyd/cvxbook/.

[26] S. Diamond & S. Boyd, ``CVXPY: A Python-embedded modeling language for convex optimization'', Journal of Machine Learning Research 17 (2016) 1. Available online: https://www.jmlr.org/papers/v17/15-408.html.

[27] NumPy Developers, NumPy Documentation, version 2.0, 2024. Available online: https://numpy.org/doc/2.0/.

[28] Pandas Development Team, Pandas Documentation, version 2.2, 2024. Available online: https://pandas.pydata.org.

[29] SciPy Community, SciPy User Guide, version 1.14, 2024. Available online: https://docs.scipy.org/doc/scipy-1.14.1/tutorial/index.html.

[30] Statsmodels Development Team, Statsmodels: Statistical Modeling in Python, 2024. Available online: https://www.statsmodels.org.

Q3

Published

2026-07-27

How to Cite

Evaluation of financial models for portfolio optimization in Nigeria’s non-interest real estate sector: Integrating mean-variance optimization, the capital asset pricing model, and Value-at-Risk analysis. (2026). Proceedings of the Nigerian Society of Physical Sciences, 3, 294. https://doi.org/10.61298/pnspsc.2026.3.294

How to Cite

Evaluation of financial models for portfolio optimization in Nigeria’s non-interest real estate sector: Integrating mean-variance optimization, the capital asset pricing model, and Value-at-Risk analysis. (2026). Proceedings of the Nigerian Society of Physical Sciences, 3, 294. https://doi.org/10.61298/pnspsc.2026.3.294