where where f is the local floor rate, c is the local cap rate, α participation rate in the index return.In addition, EIAs are usually embedded with diverse guarantees, such as mortality benefits. This articlefocusses on the financial guarantees by assuming that the mortality can be diversified.We now price the Annual Compound Ratchet EIA under the BSMs model. By ignoring mortality risk, thevaluation of an EIA contract simplifies to the valuation of a pure financial security. Therefore, using the riskneutralvaluation under the martingale measure Q, we can obtain a closed-form solution for the price of theAnnual Compound Ratchet EIA.