We propose a new dynamic transition analysis on the basis of a small open economy dynamic stochastic general equilibrium model. Our proposed analysis differs from existing static and conventional dynamic analyses in that shifts from a fixed exchange rate regime to a basket peg or a floating regime are explicitly explored. We apply quantitative analysis, using data from the People's Republic of China and Thailand, and find that both economies would be better off shifting from a dollar peg to a basket peg or a floating regime over the long run. Furthermore, the longer the transition period, the greater the benefits of shifting to a basket peg regime from a dollar peg regime owing to limited volatility in interest rates. Regarding sudden shifts to a desired regime, the welfare gains are larger under a shift to a basket peg if the exchange rate fluctuates significantly.