The objective of this paper is that I show a direct extension of the two-sector dependent economy model into a dynamic optimization framework on the effect of a permanent increase in the inflation rates on the capital accumulation and the current account balance in which money is introduced by a cash-in-advance constraint. I endogenize capital stock and labor-leisure choice offering more flexibility on the supply side and I focus on the fact that the nontraded sector is more capital intensive but I also briefly discuss the other case.
I show that an increase in the inflation rate has a positive effect on accumulation of capital stock and the current account balance deteriorates. The dynamics depends significantly on the relative capital intensities of two sectors. If a traded good is the more capital intensive, there is no transitional dynamics. By contrast, if a nontraded sector is the more capital intensive, then transitional dynamics can be seen with a change in relative price between consumption goods. Contrary to the conclusion of Stockman (1981) and Mansoorin and Mohsin (2006), higher inflation increases (decreases) the capital accumulation when cash-in-advance constraint is only subject to the tradable (nontradable) consumption goods. As a whole, higher inflation rates will have different effects on employment and output in the traded sector and the nontraded sector.