Skip to main content
Speclore

Income Taxes

Reference data and engineering information about income taxes for economics applications.

incometaxes

Overview

Engineering reference data for Income Taxes in economics.

Key Formulas

Present Value

PV=FV(1+r)nPV = \frac{FV}{(1+r)^n}

Discount a future value to present.

Net Present Value

NPV=t=0nCt(1+r)tNPV = \sum_{t=0}^{n} \frac{C_t}{(1+r)^t}

Sum of discounted cash flows.

Compound Interest

FV=PV(1+r)nFV = PV(1+r)^n

Future value with compound interest.

Variables

SymbolDescriptionUnit
PVPVPresent value$
FVFVFuture value$
rrInterest/discount rate
nnNumber of periodsyears

Formulas for Income Taxes

The calculation of taxable income and income taxes involves the following key formulas:

Taxable Income (TI) The total taxable income is the sum of all revenues minus allowable deductions for costs, depreciation, and operating expenses.

TI=ΣRΣCΣDΣOE(1)TI = \Sigma R - \Sigma C - \Sigma D - \Sigma OE \quad (1)

Income Taxes (IT) The income tax owed is the product of the taxable income and the applicable tax rate.

IT=TI×tr(2)IT = TI \times t_r \quad (2)

Key Definitions

The variables in the formulas above are defined as follows:

  • TI (Taxable Income): The net income subject to taxation after accounting for all allowable deductions.
  • R (Revenues): Total income generated from business operations, sales, or projects.
  • C (Operating Costs): Costs directly associated with producing goods or executing projects (e.g., Cost of Goods Sold).
  • D (Assets Depreciation): The allocated cost of tangible assets over their useful life, which is a deductible expense.
  • OE (Operating Expenses): Indirect costs required to run the business (e.g., rent, utilities, salaries).
  • IT (Income Taxes): The total tax liability calculated on the taxable income.
  • t_r (Tax Rate): The percentage rate applied to taxable income to determine the income tax owed. This can be a flat rate or a marginal rate.

References