The relationship between public expenditure and aggregate income has long been debated in economic literature. According to Wagner, expenditure is an endogenous factor or an outcome. On the other hand, Keynes considered public expenditure as an exogenous factor to be used as a policy instrument...

In this analysis, we discuss two measures that have been used by economists to measure changes in macroeconomic policies: the dynamic multiplier and the impulse response function. These multipliers are identical under specific conditions, e.g., by imposing certain restrictions on a VAR model....