The one-year expected inflation rate at home and foreign is 4% and 7%, respectively. You also observe the current real exchange rate q(home/foreign) is 1.5. According to the speed of convergence, which says that the deviation from the purchasing power parity will shrink by 15% per year, what is the expected depreciation rate of home currency against the foreign currency (rounded to 2 decimal places)? Question 5 Answer a. 2% b. -12% c. -2% d. 12% e. 8% f. -8%
Question
The one-year expected inflation rate at home and foreign is 4% and 7%, respectively. You also observe the current real exchange rate q(home/foreign) is 1.5. According to the speed of convergence, which says that the deviation from the purchasing power parity will shrink by 15% per year, what is the expected depreciation rate of home currency against the foreign currency (rounded to 2 decimal places)? Question 5 Answer
a. 2%
b. -12%
c. -2%
d. 12%
e. 8%
f. -8%
Solution
To solve this problem, we need to use the formula for the expected depreciation rate of the home currency against the foreign currency, which is given by:
Expected depreciation = (Inflation rate at home - Inflation rate foreign) + Speed of convergence * (1 - Real exchange rate)
Substituting the given values into the formula, we get:
Expected depreciation = (4% - 7%) + 15% * (1 - 1.5)
This simplifies to:
Expected depreciation = -3% - 7.5% = -10.5%
Therefore, the expected depreciation rate of the home currency against the foreign currency is -10.5%, rounded to 2 decimal places. However, this option is not available in the choices provided. There might be a mistake in the question or the provided choices.
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