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Effect of Insurance Product Diversification on Aggregate Loss Distribution

Abstract

Insurance product diversification refers to the distribution of an insurer’s business across different insurance products rather than concentrating exposure in a single product category. Different insurance products may exhibit varying patterns of claim frequency, claim severity, exposure, and loss volatility. The degree of diversification within an insurance portfolio may therefore influence the distribution and overall behaviour of aggregate losses. This study will examine the effect of insurance product diversification on aggregate loss distribution. It will assess how changes in the composition of insurance products influence the probability, magnitude, and variability of aggregate losses. The study will also compare aggregate loss distributions under different levels of product diversification to determine how portfolio composition affects insurance loss outcomes. The study will focus on insurance product diversification, aggregate loss distribution, insurance portfolios, claim frequency, claim severity, loss volatility, portfolio composition, aggregate claims, exposure levels, probability distributions, and actuarial risk modelling. Historical claims data from different insurance product categories will be examined to identify differences in their loss characteristics and assess how combining products affects the resulting aggregate loss distribution. A quantitative research approach will be adopted for the study. Historical insurance claims, exposure, and loss data will be analysed using descriptive statistics, claim frequency and severity analysis, probability distribution fitting, aggregate claims modelling, variance analysis, correlation analysis, and sensitivity analysis. Alternative portfolio compositions will be evaluated to determine the changes in aggregate loss distribution associated with different levels of product diversification. The study is expected to reveal that insurance product diversification may have a significant effect on aggregate loss distribution. Greater diversification across products with different loss characteristics may alter the variability and concentration of aggregate losses, while portfolios concentrated in products with similar or highly volatile loss patterns may produce different aggregate loss outcomes. The magnitude of the effect may depend on product-specific claim frequencies, claim severities, exposure levels, dependence between losses, and portfolio composition. The study will be useful to actuaries, insurance companies, underwriters, pricing analysts, risk managers, claims analysts, portfolio managers, and researchers. It may provide useful information for evaluating product portfolio composition, estimating aggregate insurance losses, improving risk assessment, and supporting actuarial pricing and reserving decisions. The findings may also assist insurers in understanding how diversification across insurance products influences the distribution of potential aggregate losses. The study concludes that insurance product diversification is an important consideration in the modelling and assessment of aggregate loss distributions. It is therefore recommended that insurers regularly evaluate the composition of their product portfolios, analyse product-specific loss characteristics, and apply appropriate actuarial models to assess the effect of diversification on aggregate losses and portfolio risk.

Keywords: Insurance product diversification, aggregate loss distribution, insurance portfolio, claim frequency, claim severity, aggregate claims, loss volatility, portfolio composition, insurance exposure, probability distributions, actuarial risk modelling, loss concentration, portfolio risk, aggregate loss modelling, insurance risk.