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The Following Regression Model Was Estimated to Forecast the Percentage μ\mu

question 42

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The following regression model was estimated to forecast the percentage change in the Australian Dollar (AUD) : AUDt = a0 + a1INTt + a2INFt - 1 + μ\mu t,
Where AUD is the quarterly change in the Australian Dollar, INT is the real interest rate differential in period t between the U.S. and Australia, and INF is the inflation rate differential between the U.S. and Australia in the previous period. Regression results indicate coefficients of a0 = .001; a1 = -.8; and a2 = .5. Assume that INFt - 1 = 4%. However, the interest rate differential is not known at the beginning of period t and must be estimated. You have developed the following probability distribution:
 The following regression model was estimated to forecast the percentage change in the Australian Dollar (AUD) : AUD<sub>t</sub> = a<sub>0</sub> + a<sub>1</sub>INT<sub>t</sub> + a<sub>2</sub>INF<sub>t</sub><sub> </sub> <sub>-</sub> <sub> 1</sub> +  \mu <sub>t</sub>, Where AUD is the quarterly change in the Australian Dollar, INT is the real interest rate differential in period t between the U.S. and Australia, and INF is the inflation rate differential between the U.S. and Australia in the previous period. Regression results indicate coefficients of a<sub>0</sub> = .001; a<sub>1</sub> = -.8; and a<sub>2</sub> = .5. Assume that INF<sub>t</sub><sub> </sub> <sub>-</sub> <sub> 1</sub> = 4%. However, the interest rate differential is not known at the beginning of period t and must be estimated. You have developed the following probability distribution:   There is a 20% probability that the Australian dollar will change by ____, and an 80% probability it will change by ____. A)  4.5%; 6.1%; B)  6.1%; 4.5% C)  4.5%; 5.3% D)  None of the above There is a 20% probability that the Australian dollar will change by ____, and an 80% probability it will change by ____.

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