This paper investigates relative purchasing power parity for a sample of nine Asian economies during the post-Bretton Woods floating exchange rate era. While most existing studies of purchasing power parity employ linear tests of non-stationarity or non-cointegration, we employ a new cointegration test, recently advocated by Enders & Siklos and Enders & Dibooglu, that tests for an asymmetric adjustment towards parity with respect to positive and negative real exchange rate deviations from parity. In most cases, we find that long-run purchasing power parity is most likely to hold with respect to positive deviations only.