Question 13.15

13.15 U.S.-Canadian exchange rates.

Consider the daily U.S.-Canadian exchange rates (Canadian dollars to one U.S. dollar) from the beginning of 2013 through the first week of August (bank holidays excluded).9

canrate

  1. Test the randomness of the exchange rate series. What do you conclude?
  2. Obtain the first differences for the series and test them for randomness. What do you conclude?
  3. Would you conclude that the exchange rate series behaves as a random walk? Explain.

13.15

(a) The Runs Test and the ACF show the exchange rate is not random. (b) For the first differences of rate, the Runs Test and the ACF show they are random. (c) Yes, because the exchange rates are not random but their first differences are random.