58 in the video lectures on the Phillips, we presented two scenarios:
1 nominal wages rise by 3% and inflation rises by 3%
2 nominal wages rise by 3% and inflation rises by 5%
which of the following statements is correct?
Question 58 options:
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Ans. Option c
Real Wage (R) = Nominal Wage(N) / Price level(P)
Applying natural log (ln) to both sides we get,
lnR = lnN - lnP
Differentiating whole equation with respect to time, t, we get,
%Change in R = %Change in N - %Change in P --->Eq1
[ln(A/B) = lnA - lnB, and d(lnA)/dt = dA/dt * 1/A = %Change in A over time t]
Scenario 1
%Change in Nominal Wage = 3%
%Change in price level = inflation = 3%
=> %Change in real Wage = 0% (From Eq1)
Scenario 2
%Change in Nominal Wage = 3%
%Change in Price level = Infation rate = 5%
=> %Change in real wage = -2% (From Eq2)
Thus, real wage does not change in scenario 1 but falls in scenario 2 by 2%.
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