In Year 1, the economy plunges into recession with nominal GDP growth falling to minus -1 per cent. The outstanding public debt is equal to the value of the nominal GDP and the nominal interest rate is equal to 1 per cent (and this is the rate the government pays on all outstanding debt). The government's budget balance net of interest payments goes into deficit equivalent to 1 per cent of GDP and the debt ratio rises by 3 per cent. In Year 2, the government stimulates the economy and pushes the primary budget deficit out to 2 per cent of GDP and in doing so stimulates aggregate demand and the economy records a 4 per cent nominal GDP growth rate. All other parameters are unchanged in Year 2. Under these circumstances, the public debt ratio will rise but by an amount less than the rise in the budget deficit because of the real growth in the economy.
Answer: Impossible to determine from the facts