A Group Equity-Indexed Annuity (GEIA) with a guaranteed minimum equity related return for a set of individuals are provided. An algorithm sets a “participation rate” of a GEIA contract as well as the carrier margin, risk and opportunity for recovery. The carrier is held accountable to the participation rate produced by the model investment portfolio in the formula and subject to the guaranteed minimum. The selection of the participation rate is entirely visible to a GEIA contract-holder. A “hedge budget” is based on a formula-driven amortization process that blends old and new money. Underlying assets are also managed to a “constant” duration, such as the duration of a bond index selected by the GEIA contract-holder.