Budget deficit equals the rate of change of amount of debt

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By definition, the budget deficit equals the rate of change of the amount of debt outstanding: δ(t)=?(t). Define d(t) to be the ratio of debt to output: d(t)=D(t)Y(t). Assume that Y(t) grows at a constant rate g>0.

(a) Suppose that the deficit-to-output ratio is constant: δ(t)Y(t)=a, where a>0.

(i) Find an expression for ?(t) in terms of a, g, and d(t).

Reference no: EM131246165

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