Pricing and Valuation of Variable Annuities With Guaranteed Minimum Income Benefits in Emerging Markets

This study develops pricing and valuation models for variable annuity products with guaranteed minimum income benefit features and examines their applicability and risk implications in the Nigerian emerging market context. Variable annuities with GMIBs provide retirees with investment-linked accumulation alongside a guaranteed floor on retirement income, addressing both return enhancement and income security objectives. These products are increasingly relevant as Nigeria's CPS matures and the demand for flexible retirement income solutions grows. This study applies risk-neutral valuation and real-world scenario simulation frameworks, calibrated to Nigerian capital market and mortality data. The value of the GMIB rider is decomposed into intrinsic value and time value components using Monte Carlo simulation of equity returns and interest rates calibrated to Nigerian Exchange Group and FMDQ data for 2014 to 2023. Policyholder behaviour assumptions including lapse, annuitization election rate, and contribution variability are incorporated from Nigerian insurance market data. Findings reveal that GMIB riders priced without explicit stochastic calibration to Nigerian asset volatility are systematically underpriced relative to their modelled risk-neutral value. The guarantee becomes most valuable during periods of sustained equity market underperformance, which Nigeria has experienced periodically. The study concludes that variable annuities with income guarantees require locally calibrated stochastic pricing models to be viable in the Nigerian market. It recommends that NAICOM develop a specific approval framework for guaranteed retirement income products with mandatory actuarial certification.

Keywords: variable annuity, guaranteed minimum income benefit, stochastic pricing, retirement income, Nigeria.