let the real EX rate be Q = no. of domestic goods per unit of foreign goods (Indian good/US goods),
Nominal Ex rate be E=rupees/dollar (say),
Domestic price level Be Pd (rupees) and
Foriegn price level be Pf (dollars)
by defination of real ex rate
Q=E*Pf/Pd
= (rupees/Dolar)*(Dollar/US goods)/(rupees/domestic goods)
= Domestic goods/US goods
take logs both sides and then take total differential
dQ/Q = dE/E + dPf/Pf - dPd/Pd
if we take Q as a constant den dQ/Q=0 (relative PPP)
dE/E=dPd/Pd - dPf/Pf
%dep of domestic currency=domestic inflation-foreign inflation
the question asks for the change in the nominal Ex rate and not the real EX rate
we are given dat dE/E=-10%
and the inflation differential is 8-3=5%DEP OF EX rate
so it depreciates E by 5%(option D)
the end result is dat we will hav an appreciated domestic currency by 5%
Akshay Jain
Masters in Economics
Delhi School of Economics
2013-15