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Problem 3 The goal of the problem is to test simple financial model. One of basic measures ofrisk for return of the asset X is Value at Risk 5%, denoted as VaRs, such value that (a) Assuming uniform distribution X UI-4:6] find Vak (b) Once Value at Risk is calculated based on some model (in our example Uniform), it may be backtested once real sample data is obtained. When return X, is less than -Va, it is named hit. In a sample of 360 days there were 25 hits. Test null hypothesis that distribution of X, are independently uniformly UI-4:6] distributed and probability of hit is in fact 5%. Use 10% significance level. der an altermnative hypothesis that returns X, are independently normally distributed with constant volatility X, N(023). Find probability of type IIl error of the test you performed in (b).
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