March 29, 2017

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The following calculations help you see how the ratio of debt to GDP changes from one year to the next. Suppose that in a hypothetical country with a currency called the ducat, debt is equal to 140 trillion ducats and GDP is equal to 100 trillion ducats. This means that the ratio of debt to GDP is 1.4, or 140%. Also, suppose that the deficit is 7 trillion ducats, which is 7% of GDP.

When the government runs a deficit, it spends more than it collects in tax revenue. To make up the difference, it borrows. So if it runs a deficit of 7 trillion ducats, debt increases by 7 trillion ducats. So debt next year is 147 trillion ducats. Suppose that there is no growth in real GDP and inflation is equal to -2% per year. (Negative inflation is the same as deflation.) Measured in ducats, what will GDP be equal to next year?

---What formula do i use to solve this?

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