. Assume that the following regression model was applied to historical quarterly data:

ef,t = a0 + a1INTt + a2INFt 1 + εt

where ef,t = percentage change in the USD/JPY exchange rate in period t

INTt = interest rate differ¬ential between U.S. and Japan (iUS-iJAP) over period t

INFt 1 = inflation differential between U.S. and Japan (IUS-IJAP) in the previous period

a0, a1, a2 = regression coefficients

εt = error term

Assume that the regression coefficients were estimated as follows:

a0 = 0.0, a1 = 0.9, a2 = 0.8

Also assume that the inflation differential in the most recent period was 3%. The real interest rate differential in the upcoming period is forecasted as follows:

(iUS-iJAP) Probability

0% 30%

1 60%

2 10%

If Stillwater, Inc., uses this information to forecast the Japanese yen’s exchange rate, what will be the probability distribution of the yen’s percentage change over the upcoming period?

ef,t = a0 + a1INTt + a2INFt 1 + εt

where ef,t = percentage change in the USD/JPY exchange rate in period t

INTt = interest rate differ¬ential between U.S. and Japan (iUS-iJAP) over period t

INFt 1 = inflation differential between U.S. and Japan (IUS-IJAP) in the previous period

a0, a1, a2 = regression coefficients

εt = error term

Assume that the regression coefficients were estimated as follows:

a0 = 0.0, a1 = 0.9, a2 = 0.8

Also assume that the inflation differential in the most recent period was 3%. The real interest rate differential in the upcoming period is forecasted as follows:

(iUS-iJAP) Probability

0% 30%

1 60%

2 10%

If Stillwater, Inc., uses this information to forecast the Japanese yen’s exchange rate, what will be the probability distribution of the yen’s percentage change over the upcoming period?