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Extreme value theory is a cornerstone of a method to identify extreme values <br /> <br /> <br /> <br /> <br /> and model it in a distribution. In the financial field, extreme values can occur <br /> <br /> <br /> <br /> <br />...
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Format: | Final Project |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/18124 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | Extreme value theory is a cornerstone of a method to identify extreme values <br />
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and model it in a distribution. In the financial field, extreme values can occur <br />
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in the decline of stock price index. Extreme values are rare but certainly have a <br />
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great impact the risk of extreme losses. Efiorts to control risk is to understand <br />
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and quantify the risks appropriately. Value-at-Risk (VaR) is a popular measure of <br />
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risk used in financial risk management. Thus, in determining the risk of extreme <br />
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value are used necessary calculations using VaR and Extreme Value Theory. Ex- <br />
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treme Value Theory with Block Maxima Method identify extreme values as the <br />
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maximum value of data per block period of time, thus determining the block size <br />
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in this method is very important. The extreme values are modeled by a family <br />
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of GEV distribution. Extreme value of the stock index's decline can be modeled <br />
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with distribution Frechet. Parameter estimator of the extreme value distribution <br />
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can be used in the calculation of VaR. From the calculation, the value of VaR <br />
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is in <br />
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uenced by the block size and the chosen level of confidence. So extreme <br />
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decline in the stock index will be greater as the larger block size and confidence <br />
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level. |
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