Comparison of distribution tails). Consider the distribution of losses owned by insurance companies. Loss for the coming year is predicted to have a mean of 100 with a standard deviation of 223.607. If it is assumed that the loss distribution is Normal, Pareto and Gamma (with mean and variance above), determine VaR for each loss distribution with a safety level of 90%; 99% and 99.9%. Notes: From the mean and standard deviation as well as the k-th moment, the parameter values ​​for each distribution (in millions) will be obtained. Furthermore, by using the inverse FDK, the VaR value will be obtained.

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Please solve with the step max in 60-90 minutes the chapter actuarial

Comparison of distribution tails). Consider the distribution of losses owned by insurance companies. Loss for the coming year is predicted to have a mean of 100 with a standard deviation of 223.607.

If it is assumed that the loss distribution is Normal, Pareto and Gamma (with mean and variance above), determine VaR for each loss distribution with a safety level of 90%; 99% and 99.9%.

Notes:

From the mean and standard deviation as well as the k-th moment, the parameter values ​​for each distribution (in millions) will be obtained. Furthermore, by using the inverse FDK, the VaR value will be obtained.

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