We investigate the Ramsey-like dynamics of nonrenewable resource abundance on economic growth and welfare in a two country world. One country is endowed with a non-renewable- resource Otherwise, countries are identical. The one country result of Rodríguez and Sachs (1999) that the initial stock of the resource influences negatively the GDP growth of the resource-rich country, is shown to not hold in general. The endowment of the nonrenewable resource can have an initial positive effect on the growth rate of the resource-rich country provided the elasticity of the initial price of the resource with regard to the initial stock of the resource is greater than minus one. The ratio of the consumption levels of the two countries are shown to be constant over time, and determined by the ratio of initial wealth. An analytical solution of the model allows us to indicate how accumulable and depletable assets affect per country welfare and income growth. For this case we demonstrate that a technological change -that is nonrenewable resource saving- can benefit the resource-rich country’s relative welfare.