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Effect of Multiple Decrement Rates on Actuarial Valuation of Life Insurance Benefits

Abstract

The study examines the effect of multiple decrement rates on the actuarial valuation of life insurance benefits. Multiple decrement models are important actuarial tools used to evaluate situations where individuals may leave a population or insurance scheme through different causes, such as death, disability, withdrawal, or retirement. Since different decrements can occur simultaneously and affect the number of individuals remaining exposed to insurance risks, accurate estimation of decrement rates is important for determining the expected value of future life insurance benefits. The study will investigate how multiple decrement rates influence the actuarial valuation of life insurance benefits. It will examine the effect of alternative decrement assumptions on the probability of survival, probability of exit through specific causes, expected benefit payments, and actuarial present values. The study will also compare valuation results under single-decrement and multiple-decrement frameworks to identify differences in estimated insurance benefits. The analysis will focus on mortality rates, withdrawal rates, disability rates, decrement probabilities, survival probabilities, policy duration, benefit amounts, and interest rate assumptions. Multiple decrement life table functions will be applied to estimate the probability of experiencing different exit events over the policy period. These probabilities will then be incorporated into actuarial valuation models to determine the expected present value of life insurance benefits under alternative decrement assumptions. A quantitative research approach will be adopted for the study. Hypothetical or secondary actuarial data will be used to construct representative life insurance scenarios involving multiple sources of decrement. Multiple decrement models, life table functions, probability techniques, actuarial present value calculations, discounting procedures, and comparative analysis will be applied to estimate benefit values. The resulting valuation estimates will be compared across different combinations of decrement rates and actuarial assumptions. The study is expected to reveal that multiple decrement rates can produce measurable differences in the actuarial valuation of life insurance benefits. The inclusion of additional sources of decrement is expected to alter the number of policyholders remaining exposed to future benefits and consequently affect expected benefit payments. The magnitude of the valuation differences is expected to depend on the relative levels of the individual decrement rates, policy duration, benefit structure, and interest rate assumptions. The study will provide useful information for actuaries, life insurance companies, regulators, and researchers by demonstrating the importance of multiple decrement assumptions in life insurance valuation. The findings may assist insurers in developing more comprehensive actuarial models, estimating future benefit obligations, assessing policy liabilities, and improving the accuracy of insurance valuation. The study may also contribute to a better understanding of multiple decrement techniques among students and practitioners of actuarial science. The study concludes that multiple decrement rates are important considerations in actuarial valuation because different sources of policyholder exit can influence survival patterns and the expected value of future insurance benefits. It is therefore recommended that insurers incorporate relevant decrement risks into actuarial valuation models where appropriate and regularly review the assumptions used in multiple decrement calculations. Reliable data and appropriate actuarial techniques should be applied to support accurate benefit valuation and effective management of life insurance liabilities.

Keywords: Multiple decrement rates, actuarial valuation, life insurance benefits, multiple decrement models, mortality rates, withdrawal rates, disability rates, decrement probabilities, survival probabilities, life tables, actuarial present value, insurance liabilities, policy duration, benefit valuation, actuarial calculations.