The following regression model was estimated to forecast the percentage change in the Australian dollar (AUD) :
AUDt = a0 + a1INTt + a2INFt - 1 + t,
Where AUD is the quarterly change in the Australian dollar, INT is the real interest rate differential in period t between the United States and Australia, and INF is the inflation rate differential between the United States 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:
Probability
Possible Outcome
20%
-3%
80%
-4%
There is a 20 percent probability that the Australian dollar will change by ____, and an 80 percent probability it will change by ____.
A) 4.5 percent; 6.1 percent
B) 6.1 percent; 4.5 percent
C) 4.5 percent; 5.3 percent
D) None of these are correct.
Correct Answer:
Verified
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