Part 1 - AL-Tax
Part 1 - AL-Tax Part 1 - AL-Tax
Chapter 2is a difference between the actual revenue raised under the current tax systemand an estimated revenue, which would be collected under a hypothetical cashflow tax 13 (the so-called R-base tax, where R stands for real) that excludes financialincome and replaces depreciation allowances by expensing for new investment.Given that a cash flow tax imposes a zero tax on the marginal investment(due to the absence of distinction between items of current expenditure and capital),the tax of Gordon et al. (2003) can be written as:( )METRB T E / K ,( T E ) / K r(1 τ)(2.23)where E is the tax that would be collected under a cash flow tax, and the othervariables are as defined previously.Sørensen showed that this backward-looking METR is equal to the forwardlookingMETR under the assumptions used in deriving equation (2.22). From thatexpression we know that, under full expensing:E τ( pr) K.Therefore, the numerator of equation (2.23) is:T E ( τ A )( r δ).KAdditionally, we can write equation (2.16) as:( τ A rɶpr )( δ)1 τand by substitution into equation (23), it follows that:METRB( τ )( ) A r δ pɶ r METRF.(1 τ)pɶpɶ2.4 The cost of production approach2.4.1 Marginal ETRCAn extension to the cost of capital discussed above is the cost of production introducedby McKenzie et al. (1997). They argue that other noncapital taxes also affect31
International Taxation Handbookproduction and location decisions. Their model introduces (as in Jorgenson, 1963)a second production factor (labor) in computing the tax wedge between the marginalcost of production with and without taxes. Including a second input enablesone to consider the substitution between them. Hence, the firm’s maximizationproblem is now:max ρt[ bFKqLIt , L) τYϖL τL qI, ,t t]0∫ e ( (1 ) dt st ..(2) and F F( K,L),where labor price is assumed to be fixed and therefore taxes are fully borne by thefirm. If payroll taxes (τ L ) are deducted from the corporate income tax, we havethat taxable income is equal to:Y b F( K, L) Aq I w(1 τ) L.t t t t LSolving first the firm’s present value cost minimization problem for a constant levelof output:min e t( L(1 LIL)(1 ) (1 A) qtI)d t., ∫ρ ϖ τ τ 0We define the current-value Hamiltonian as:The FOCs are:H wL(1 τ )(1 τ) (1 A) q I λ( I δK) ν ( F( K, L)F).In the steady state we have:Lw(1 τ )(1 τ) νF 0L(1 Aq) λ 0itλρλλδν F .tKLFFkLqt(1 A)( ρδ )w(1 τ )(1 τ) ,Land using equation (2.5), we find that the usual marginal rate of technical substitutionequals the ratio of input costs:FFKL( p δ)w(1 τ) .L32
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Chapter 2is a difference between the actual revenue raised under the current tax systemand an estimated revenue, which would be collected under a hypothetical cashflow tax 13 (the so-called R-base tax, where R stands for real) that excludes financialincome and replaces depreciation allowances by expensing for new investment.Given that a cash flow tax imposes a zero tax on the marginal investment(due to the absence of distinction between items of current expenditure and capital),the tax of Gordon et al. (2003) can be written as:( )METRB T E / K ,( T E ) / K r(1 τ)(2.23)where E is the tax that would be collected under a cash flow tax, and the othervariables are as defined previously.Sørensen showed that this backward-looking METR is equal to the forwardlookingMETR under the assumptions used in deriving equation (2.22). From thatexpression we know that, under full expensing:E τ( pr) K.Therefore, the numerator of equation (2.23) is:T E ( τ A )( r δ).KAdditionally, we can write equation (2.16) as:( τ A rɶpr )( δ)1 τand by substitution into equation (23), it follows that:METRB( τ )( ) A r δ pɶ r METRF.(1 τ)pɶpɶ2.4 The cost of production approach2.4.1 Marginal ETRCAn extension to the cost of capital discussed above is the cost of production introducedby McKenzie et al. (1997). They argue that other noncapital taxes also affect31