National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Mathematical modelling of crown rate
UHLÍŘOVÁ, Žaneta
This thesis is focused on mathematical modelling of exchange rate CZK/USD in 1991 - 2014. Time series was divided into 5 parts. First Box-Jenkins methodology models were examined, especially ARIMA model. Unfortunately, the model could not be used because none of the time series showed correlation. The time series is considered as a white noise. The data appear to be completely random and unpredictable. The time series have not constant variance neither normal distribution and therefore GARCH volatility model was used as the second model. It is better not to divide time series when using model of volatility. Volatility model contributes to more accurate prediction than the standard deviation. Results were calculated in RStudio software and MS Excel.
Mathematical modeling of gold price
ŠMARDA, Tomáš
This bachelor thesis is focused on mathematical modelling of gold price. After introducing basic models of Box-Jenkins methodology and models of conditional hetoskedasticity, the time series was modelled by random walk process. The time series has not constant variance, neither normal distribution, therefore for the second model was considered volatility model GARCH. Using the volatility model GARCH is possible to refine prediction intervals for forecast one step ahead. Results were calculated in R software and MS Excel.

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