Financial Mathematics Applications in Investment Portfolio Management for Pension Fund Administration in Nigeria

This study examines the application of financial mathematics to investment portfolio management in Nigerian pension fund administration, with particular reference to the Contributory Pension Scheme administered under the Pension Reform Act of 2014. Pension fund administrators are mandated by the National Pension Commission to manage retirement savings assets in a manner that maximises risk-adjusted returns within prescribed asset allocation limits, making quantitative portfolio optimisation an operationally critical skill for finance professionals in the sector. The study applies the Markowitz mean-variance optimisation framework to construct efficient frontier portfolios using historical return and covariance data for Nigerian asset classes including federal government bonds, equities listed on the Nigerian Exchange Group, money market instruments, and real estate investment trusts. Monthly return data for the period January 2019 to December 2023 are drawn from the FMDQ Securities Exchange and the Nigerian Exchange Group databases. The Capital Asset Pricing Model is used to estimate risk premiums for equity holdings, and the Sharpe ratio is employed to compare portfolio efficiency across alternative asset allocation strategies. Results indicate that current industry-average asset allocations in the pension fund sector lie below the efficient frontier, suggesting scope for improved risk-adjusted returns through rebalancing. The study identifies regulatory constraints that limit the ability of administrators to reach the efficient frontier and recommends National Pension Commission policy revisions. Keywords: financial mathematics, portfolio optimisation, pension fund, efficient frontier, Nigeria