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A Dynamic Analysis Of Variable Annuities And Guarenteed Minimum Benefits, Jin Gao Dec 2010

A Dynamic Analysis Of Variable Annuities And Guarenteed Minimum Benefits, Jin Gao

Risk Management and Insurance Dissertations

We determine the optimal allocation of funds between the fixed and variable sub-accounts in a variable annuity with a GMDB (Guaranteed Minimum Death Benefit) clause featuring partial withdrawals by using a utility-based approach. In section two, the Merton method is applied by assuming that individuals allocate funds optimally in order to maximize the expected utility of lifetime consumption. It also reflects bequest motives by including the recipient's utility in terms of the policyholder's guaranteed death benefits. We derive the optimal transfer choice by the insured, and furthermore price the GMDB through maximizing the discounted expected utility of the policyholders and …


Essays On Adverse Selection And Moral Hazard In Insurance Market, Jian Wen Aug 2010

Essays On Adverse Selection And Moral Hazard In Insurance Market, Jian Wen

Risk Management and Insurance Dissertations

Essay One examines the asymmetric information problem between primary insurers and reinsurers in the reinsurance industry and contributes uniquely to the separation of adverse selection from moral hazard, if both are present. A two-period principal-agent model is set up to identify the signals of adverse selection and moral hazard generated by the actions of the primary insurer and to provide a basis for corresponding hypotheses for empirical testing. Using data from the National Association of Insurance Commissioners (NAIC) and A.M. Best Company, the empirical tests show that the problem of adverse selection exists in the reinsurance market between the affiliated …