The South American country's markets are closed on Monday for a local holiday, so will only fully trade on Tuesday.
Overseas-listed sovereign bonds and some equities will trade, mainly in Europe and the United States.
In his first speech Milei pledged speedy reforms to fix an economy mired in crisis.
If Milei can convince the market that the chainsaw (fiscal discipline) is the heart and soul of his presidency then bonds rally," he said.
But he still faces a divided Congress where his Liberty Advances bloc only has a small share of seats.
Persons:
Javier Milei's, Sergio Massa, Juan Manuel Pazos, Milei, Mauricio Macri, Patricia Bullrich, Martin Castellano, Walter Stoeppelwerth, Gletir, Gustavo Ber, Jorgelina, Walter Bianchi, Jorge Otaola, Christopher Cushing
Organizations:
Peronist, FX, Institute of International Finance, Liberty, Thomson
Locations:
BUENOS AIRES, Argentine, American, Europe, United States, Buenos Aires, Rosario