BPt = b0 + b1 INFt-1 + b2 INCt +ut Regression Coefficients Estimates b0 0.002 b1
ID: 2655941 • Letter: B
Question
BPt = b0 + b1 INFt-1 + b2 INCt +ut
Regression Coefficients Estimates
b0 0.002
b1 0.8
b2 1.0
Inflation in the last period, INFt-1, is 4%.
The income change in current period, INCt, can be estimated from the following:
Probability Possible changes
In INCt
20% 1.5%
50% 2%
30% 2.2%
1. What is the expected income differential (INCt)?
2. What is the expected change in BP in period t?
Annual interest rate for 5 years
U.S. 10%
U.K. 13%
Spot rate of BP is $1.50
1. What is the forward premium (discount) if the 5-year forward rate is used as a forecast?
2. What is the expected change in BP in 5 years?
3. What is the future spot rate of BP in 5 years?
Explanation / Answer
1. expected income differential= 1.5%*.20+2%*.50+2.2%*.30=1.96%
2. Expected change in BP = .002+0.8*4%+1.0*1.96%=5.162
1. discount= 1.50-(1.50*{1.10}5/{1.13}5)=.19
2.expected change in BP=1.31-1.50=.019
3. Future spot rate= (1.50*{1.10}5/{1.13}5)=1.31
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