Which are the two political ideologies that, according to Chasteen, have dominated Latin American History for the past five centuries

Although there are no options attached, we can say the following.

The two political ideologies that according to Chasteen have dominated Latin American history for the past five centuries are nationalism and liberalism.

Nationalism is the ideology that supports an extreme love for the culture, customs, history, and values of the country, including its historical figures. Under this ideology, countries reject external intromission from foreign countries.

On the other hand, there is liberalism, in which countries open to trade and the influence of the private market, including foreign investments- although it is not the best ideology to promote and support medium and low social classes.

People made investments based on the bull market instead of considering the value of the stock which led to destabilizing the economy.  

Speculation and buying on margin made people lose a lot of money. In consequence, the stock market and the economy became increasingly unstable. Loans couldn’t be paid back by speculators, and banks couldn’t cover depositors’ withdrawals because they had lost a lot of money in the stock market themselves.

This situation combined with some economic principles such as overproduction (when the good’s supply outpace their demand) made the stock market crash causing the Great Depression, the worst economic downturn in the history of the industrialized world. It lasted ten years, from 1929 to 1939.