This paper analyzes the long-run effects and short-run effects of foreign aid on the domestic economy by using the Hamilton system and Laplace transform. It is found that an increase in the foreign aid has no long-run effect on the foreign borrowing, domestic capital accumulation and the foreign direct investment in the home country, but increases the steady-state consumption level the same amount. However, the short-run analysis presents that increasing foreign aid does not affect the initial consumption level and the initial consumption increase rate; but it affects the initial savings positively.

In an infinite-horizon model with endogenous time preferences, foreign aid, foreign borrowing, and domestic capital accumulation, a permanent increase in foreign aid leads to a reduction in long-run capital accumulation, a rise in domestic consumption, and an increase in foreign borrowing. Short-run analysis shows that an initial increase in foreign aid leads to a rise in investment, and a reduction in consumption and external borrowing. On the other hand, a temporal increase in foreign aid results in an increase in consumption and foreign borrowing, and a reduction in investment.