PREDIKSI VALUE-AT-RISK MODEL RISIKO RERATA DENGAN TEORI KREDIBILITAS
Risk is a potential loss that requires quantitative analysis. This analysis can be conducted through a risk model, which is a statistical model designed to predict the magnitude of risk and provide an overview of potential losses. In this thesis, a mean risk model constructed from the sample mean...
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Format: | Theses |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/83283 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | Risk is a potential loss that requires quantitative analysis. This analysis can be
conducted through a risk model, which is a statistical model designed to predict the
magnitude of risk and provide an overview of potential losses. In this thesis, a mean
risk model constructed from the sample mean of risks is used. Two types of models
will be developed: Type I with independently and identically distributed random
samples, and Type II with a stochastic process whose parameters depend on time.
The mean risk model will be used to determine the measure of risk. One commonly
used risk measure is Value-at-Risk (VaR). VaR is defined as the maximum potential
risk value that may occur within a certain time period at a certain confidence level.
However, VaR prediction using the mean risk model is less stable if the data has high
variation. Therefore, the classical credibility theory approach is used to improve the
stability of risk predictions. Credible Value-at-Risk (CreVaR) is a VaR prediction
in the mean risk model that involves credibility theory to achieve more accurate
results. The objective of this research is to construct Type I and II mean risk models,
determine VaR and CreVaR predictions for both types of mean risk models, and
test the accuracy of these predictions. Based on the simulation results, it is found
that the constructed mean risk models can be used to predict VaR more accurately.
Additionally, the use of credibility theory in making predictions also enhances the
accuracy of the results, leading to more stable predictions. |
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