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Effect of Deductible Levels on Expected Motor Insurance Losses

Abstract

The study examines the effect of deductible levels on expected motor insurance losses, focusing on how the amount of loss borne by policyholders influences the expected claims costs of motor insurance policies. Deductibles are important components of motor insurance contracts because they determine the proportion of covered losses retained by policyholders and the amount payable by insurers when claims occur. Understanding the relationship between deductible levels and expected losses is therefore essential for appropriate insurance pricing and risk management. The study will investigate how different deductible levels affect expected motor insurance losses. It will examine whether increasing or reducing deductible amounts produces measurable changes in expected claim payments and overall loss exposure. The study will also consider how deductible structures can influence the financial responsibility of policyholders and the amount of risk retained by insurance companies. The analysis will focus on deductible levels, claim frequency, claim severity, expected claim payments, and aggregate motor insurance losses. Actuarial techniques will be applied to estimate expected losses under alternative deductible scenarios. Probability distributions and loss modelling approaches may be used to determine how different deductible thresholds affect the portion of claims payable by insurers. A quantitative research approach will be adopted for the study. Relevant motor insurance claims data will be analysed using descriptive statistics, probability models, and actuarial loss estimation techniques. Expected losses will be calculated under different deductible levels and comparative analysis will be used to determine variations in insurer loss exposure and claim costs across the selected deductible structures. The study is expected to reveal that deductible levels have a measurable effect on expected motor insurance losses. Higher deductibles may reduce the portion of individual claims payable by insurers, while lower deductibles may result in greater insurer exposure to relatively small losses. The magnitude of these effects is expected to vary according to claim frequency, claim severity, and the underlying distribution of motor insurance losses. The findings are expected to provide useful information for insurers in designing deductible structures and establishing premiums that adequately reflect expected claims exposure. The study may also assist actuaries in evaluating alternative deductible arrangements and estimating their implications for loss costs. Policyholders may benefit from a clearer understanding of how deductible choices influence their financial responsibility when insured losses occur. The study concludes that deductible levels constitute an important consideration in the actuarial assessment of motor insurance losses. It is therefore recommended that insurance companies apply appropriate actuarial and statistical techniques when determining deductible levels to ensure that expected losses, policyholder risk retention, and premium requirements are properly evaluated.

Keywords: Deductible levels, motor insurance, expected losses, insurance claims, claim frequency, claim severity, deductible structures, loss costs, motor insurance pricing, actuarial analysis, risk retention, insurance premiums, expected claim payments, aggregate losses, actuarial risk assessment.