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Using the government's budget identity, derive the dynamic equation for the debt to GDP ratio (), given by = + ( ), and discuss the

  1. Using the government's budget identity, derive the dynamic equation for the debt to GDP ratio (), given by = + ( ),
  2. and discuss the necessary condition for governments to stay solvent, i.e., not to default on its debt,
  3. and discuss the implication for long-run sustainability of debt.

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