PREDICTION OF COPULA-BASED AGGREGATE RISK MEASURE IN INVESTMENT AND INSURANCE

Aggregate risk is an aggregation of single risk either independent or dependent. In the thesis, aggregate risk is constructed from two dependent random risk variables. The dependence between two random risk variables can be determined by dependence structures and properties of joint distribution....

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Bibliographic Details
Main Author: Irawan Prihandoko, Dedy
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/39124
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Institution: Institut Teknologi Bandung
Language: Indonesia
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Summary:Aggregate risk is an aggregation of single risk either independent or dependent. In the thesis, aggregate risk is constructed from two dependent random risk variables. The dependence between two random risk variables can be determined by dependence structures and properties of joint distribution. However, not all distribution have properties of joint distribution so, the Copula model is introduced to construct properties of joint distribution. Aggregate risk is widely used in finance, such as investment and insurance. In the investment sector, the aggregate formed from sum of single risk return on assets that is modeled using the volatility model Generalized Autoregressive Conditionally Heteroscedastic (GARCH). Then, in the insurance sector, the aggregate risk formed from sum of single risk claim severity that is modeled using Autoregressive Conditional Amount (ACA). Aggregate risk must be quantified through a risk measure, such as Value-at-Risk (VaR). Furthermore, the VaR accuracy test is simulated for investment and insurance. The test is useful for choosing the best aggregate risk model in determining the prediction of aggregate VaR either return or claim severity.