Abstract
Econometric estimates of the sustainability of Latin American and South American economies based on catastrophe theory are given. It is established that the Latin American economy is developing relatively steadily. Brazil, Venezuela, Colombia and Chile are developing at an accelerated pace. The growth rates of the economies of these countries exceed the growth rates of the world economy. The growth rate of the economy of Chile, Colombia, and Venezuela is 4.5–5.5%. The most stable development of the economy of Colombia. The Brazilian economy is developing a little less steadily. The economy of Chile and Venezuela is steadily developing.
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