If long-term interest rate r is less than the trend growth rate of GDP g
Yesterday (technically very early today) I promised a post on why long-term Treasury interest rates are very important. In particular it is very important if the long-term interest rate r is less than the trend growth rate of GDP g. If rg is a condition for optimality. This has a fancy name — the transversality condition. It also is true for an obvious reason. If all can afford to consume more now without consuming less later, they can benefit by doing so. Therefore, the current consumption/saving plan is not efficient.
To get from the whole economy owned by a mythical representative consumer to the government add the assumption that tax revenues are a constant fraction of
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