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Effect of Insurance Contract Duration on Actuarial Present Values

Abstract

Insurance contract duration is an important factor in actuarial valuation because it determines the length of time over which premiums, claims, and other contractual benefits may arise. The actuarial present value of an insurance contract depends on the timing and amount of expected future cash flows, which are influenced by the period for which the contract remains in force. Understanding the effect of contract duration is therefore important for accurate insurance valuation and financial planning. This study examines the effect of insurance contract duration on actuarial present values. It will assess how variations in the duration of insurance contracts influence the present value of expected future benefits and liabilities. The study will also examine how different contract periods affect the timing of expected claims and the resulting actuarial value of insurance obligations. The study will focus on factors including contract duration, expected benefit payments, premium payments, mortality or claim probabilities, interest rate assumptions, and actuarial present values. Different contract durations will be considered to determine how shorter and longer insurance periods influence the value of future contractual cash flows. Actuarial valuation techniques will be applied to estimate present values under alternative duration assumptions. A quantitative actuarial research approach will be adopted for the study. Relevant insurance contract and claims data will be analysed using descriptive statistics and actuarial valuation methods. Present value calculations will be used to estimate expected future cash flows, while scenario and sensitivity analyses will compare actuarial present values across different contract durations and valuation assumptions. The study is expected to show that insurance contract duration will influence actuarial present values because longer contracts may involve a greater period during which future benefits and liabilities can arise. Longer durations are expected to produce different present values from shorter contracts due to changes in the timing and probability of future cash flows. The magnitude of the effect is expected to depend on interest rates, benefit amounts, and the applicable claims or mortality assumptions. The study is expected to provide useful information for actuaries, insurers, and other professionals involved in insurance valuation and product design. The findings may assist in understanding how contract duration affects the present value of insurance obligations and support more accurate estimation of future liabilities. The study may also contribute to improved pricing, reserving, and financial planning decisions. The study concludes that insurance contract duration is an important consideration in determining actuarial present values because it affects the timing and potential amount of future insurance cash flows. It is therefore recommended that insurers and actuaries carefully incorporate contract duration into actuarial valuation models. Sensitivity analysis should also be conducted to evaluate how changes in contract duration and other valuation assumptions affect the present value of insurance obligations.

Keywords: Insurance contract duration, actuarial present values, insurance valuation, present value, future cash flows, insurance liabilities, contract period, actuarial modelling, benefit payments, premium payments, interest rates, claims probabilities, actuarial valuation, insurance pricing, insurance obligations.