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At the end of 2018, the federal government debt of the U.S. stood at 104% of GDP. Imagine that, unlike in previous years, from 2019

At the end of 2018, the federal government debt of the U.S. stood at 104% of GDP. Imagine that, unlike in previous years, from 2019 on the federal government runs a balanced primary budget, i.e. primary federal government expenses are equal to total federal government revenues. Also suppose that in all years starting from 2019, the nominal GDP will grow at 3% and the interest rate at which the U.S. government can borrow will be 2%. What will be the U.S. federal debt as a fraction of GDP in year 2050?

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