Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?

Respuesta :

Answer:

0.93%

Explanation:

Given that,

Current exchange rate for the Polish zloty = Z 2.85

Expected exchange rate in three years = Z 2.93

For determining the difference in the annual inflation rates, we can use relative purchasing power parity method which is as follows:

[tex]St=S0\times (\frac{1+Inflation\ (Poland)}{1+Inflation\ (US)})^{n}[/tex]

where,

St is the expected exchange rate = Z 2.93

S0 is the current exchange rate for the Polish zloty = Z 2.85

and,

n = time period = 3 years

By putting these values into the equation, we get

[tex]2.93=2.85\times [1+( inflation Poland - inflation US)^{3}][/tex]  

[tex]\frac{2.93}{2.85}=[1 + (Inflation\ Poland - Inflation\ US)]^{3}[/tex]

Now,

(inflation Poland - inflation US) = [tex](\frac{2.93}{2.85})^{\frac{1}{3}}-1[/tex]

                                                   = 1.0093 - 1

                                                   = 0.0093 or 0.93%

Therefore, the difference in annual inflation rates  = 0.93%