As long as debt grows by the same percentage as nominal GDP,the debt-to-GDP ratio will stay constant but the interest payments-to-GDP ratio will increase.

Name: As long as debt grows by the same percentage as nominal GDP,the debt-to-GDP ratio will stay constant but the interest payments-to-GDP ratio will increase.
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If debt grows at the same rate as nominal GDP, both the debt-to-GDP ratio and the interest payments-to-GDP ratio will remain constant, assuming the interest rate remains unchanged.

As Long as Debt Grows by the Same Percentage as Nominal