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Retirement Replacement Rate Gross Net Gap Tool

Calculate retirement replacement rate gross net gap from explicit caller-supplied inputs.

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Description

Compare gross and net pension replacement rates.

Demographic economic terms combine population, monetary flows, taxes and discount conventions. A local cohort contribution or supplied income comparison is not a complete fiscal projection, benefit entitlement or individual financial forecast.

Compare gross and net pension replacement rates.

When to use this tool

Use Retirement Replacement Rate Gross Net Gap when checking one declared cohort financial or fiscal contribution.

How to use the tool and how it works

  1. Enter grossPension, grossWage, pensionTax, wageTax. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read grossRate, netRate, gap. Use the output convention below.

Compare gross and net pension replacement rates. Require positive grossWage, nonnegative taxes, pension >= pensionTax and wage > wageTax; return pension/wage, net pension/net wage and net-minus-gross gap.1

Input fieldMeaning and unitsAccepted input
grossPensionGross PensionRequired. Finite number.
grossWageGross WageRequired. Finite number; strictly above 0.
pensionTaxPension TaxRequired. Finite number; minimum 0.
wageTaxWage TaxRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
grossRategrossPension/grossWage.Required. Finite number.
netRate(grossPension-pensionTax)/(grossWage-wageTax), using positive net wage.Required. Finite number.
gapGapRequired. Finite number.
json
{
  "input": {
    "grossPension": 600,
    "grossWage": 1000,
    "pensionTax": 60,
    "wageTax": 200
  },
  "output": {
    "grossRate": 0.6,
    "netRate": 0.675,
    "gap": 0.07500000000000007
  }
}

Limitations and assumptions

  • Money must cover matching periods; actual tax liability and pension entitlement are not determined.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use complete population accounts, applicable policy and justified economic assumptions before making financial or public-policy decisions.

References

  1. Calculation and input contract: demographic-economics/retirement-replacement-rate-gross-net-gap — tool.io

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