Question

In: Economics

1. Consider the annual government budget constraint of a government: Gt + (1 + rt)Bt =...

1. Consider the annual government budget constraint of a government:
Gt + (1 + rt)Bt = Tt + Bt+1

for t=2019,2020,... Denote GDP by Yt.
(a) Express the budget constraint in terms of variables measured as a fraction of GDP.
(b) Suppose GDP grows at 4%, the interest rate is 2% and the primary deficit is 3% of GDP. If debt to GDP is 1
(100%) in 2019, write down the evolution of debt to GDP ratio for 2020, 2021 and 2022. Is it increasing or decreasing?
(c) Suppose now that initial debt to GDP is 2 in 2019, write down the evolution of debt to GDP ratio for 2020, 2021
and 2022. Is it increasing or decreasing?
(d) Write down the condition that needs to be satisfied for all variables to be constant as a fraction of GDP.
(e) What do you think happens if GDP growth is only 1% instead?

Please give as detailed as an explanation and show as much work as possible for each part of the problem, especially part d. This is from a study guide to an upcoming test I have and I do not understand how to do it. Thanks

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