Daily foreign exchange rates (spot rates) can be obtained from the Federal Reserve Bank in Chicago. The

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Daily foreign exchange rates (spot rates) can be obtained from the Federal Reserve Bank in Chicago. The data are the noon buying rates in New York City certified by the Federal Reserve Bank of New York. Consider the exchange rates between the U.S. dollar and the British pound and Japanese yen from January 2, 2007 to November 30, 2011. The data are also available on the web. (i) Compute the daily log return of each exchange rate. (ii) Compute the sample mean, standard deviation, skewness, excess kurtosis, minimum, and maximum of the log returns of each exchange rate. (iii) Obtain a density plot of the daily log returns of Dollar-Yen exchange rate. (iv) Test \(H_{0}: \mu=0\) versus \(H_{a}: \mu eq 0\), where \(\mu\) denotes the mean of the daily \(\log\) return of Dollar-Yen exchange rate. Use the 5\% significance level to draw the conclusion.

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