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(1) Explain whether any "trends" are found in the price behavior by drawing the selected Bitcoin price series

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(1) Explain whether any "trends" are found in the price behavior by drawing the selected Bitcoin price series. Use Hodrick-Prescott (HP) filter technology and Hamilton filter technology to extract the "period" from the "trend" respectively. Plot the autocorrelation function and annotate the persistence behavior of the series.
(2) Used for the series (non-)stationary selected by using enhanced Dickey-Fuller, PhillipsPerron and KPSS tests. Use the intercept option with and without trend items to compare the results. Regarding the "weak, strong, semi-strong efficiency" of the Bitcoin market, what does "the existence or absence of unit roots" mean for the selected Bitcoin price?
(3) Assume that the Bitcoin series you choose is neither I(1) nor I(0). So what will be the I(d) of 0(d)
(4) Use any three bitcoin prices in the list to find out if there is any error correction mechanism. Regarding these specific selected sequences, the 3-variable cointegration and vector error correction system are described in detail. 

You must be aware that only you share responsibility for any academic integrity breaches or other issues that may arise from your coursework submission. Rubric I do expect tables / graphs / diagrams in this assignment (embedded in the main text). Each table, graph or diagram will count as 25 words. Any table/graph must be explained contextualising the results to the context of the question. Remember that the graphs and tables you present are properly contextualised and form an important aspect of our explanations. Additional graphs and tables can be put in the appendix as well as the output from any statistical software you have used for the analysis. There are TWO compulsory questions for this Assignment. Question One Background information for Question One In Question One, we have provided cross-market time series data for Bitcoin (one of the popular cryptocurrencies floating in the market). The Bitcoin is traded in various currencies, such as in Euros, USD, Korea, etc. The data have been collected from Coincheck (one of the platforms that provides aggregate price data for Bitcoin). In the Blackboard site of the course (see Assignment folder), we have included Bitcoin price data for six exchange markets (Europe, USA, Australia, Korea, Japan, Indonesia). You can choose ANY file(s) depending on your interest. Eviews, Stata, R, Python or other any econometric software may be used for empirical estimation purpose. Tasks for Question One (1) By plotting the selected Bitcoin price series, explain if you find any ‘trend’ in the price behaviour. Use Hodrick-Prescott (H-P) Filtering Technique and Hamilton Filtering Techniques respectively to extract the 'cycles' from the 'trends'. Plot the Autocorrelation Function and comment on the persistence behaviour of the series. (2) Test for (non-)stationarity in the selected series by using Augmented Dickey-Fuller, PhillipsPerron, and KPSS tests. Use options of intercept with and without trend term to compare your results. What implications do the ‘presence or absence of a unit root’ imply for the selected Bitcoin price regarding ‘weak, strong, semi-strong efficiency’ of the Bitcoin market? (3) Assume that the Bitcoin series you selected is neither I(1) nor I(0). Then what would an I(d) with 0