CalcDomain
Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[\text{AdjCap} = \text{CapCost} - \text{Down} - \text{Rebates} - \text{TradeIn} + \text{AcqFee} + \text{Doc/DMV}\]
\text{AdjCap} = \text{CapCost} - \text{Down} - \text{Rebates} - \text{TradeIn} + \text{AcqFee} + \text{Doc/DMV}
Formula (extracted LaTeX)
\[\text{Residual} = \begin{cases} \text{ResidualOverride} & \text{if provided}\\ \text{MSRP} \times \dfrac{\text{Residual\%}}{100} & \text{otherwise} \end{cases}\]
\text{Residual} = \begin{cases} \text{ResidualOverride} & \text{if provided}\\ \text{MSRP} \times \dfrac{\text{Residual\%}}{100} & \text{otherwise} \end{cases}
Formula (extracted LaTeX)
\[\text{DepreciationFee} = \dfrac{\text{AdjCap} - \text{Residual}}{\text{TermMonths}}\]
\text{DepreciationFee} = \dfrac{\text{AdjCap} - \text{Residual}}{\text{TermMonths}}
Formula (extracted LaTeX)
\[\text{RentCharge} = (\text{AdjCap} + \text{Residual}) \times \text{MoneyFactor}\]
\text{RentCharge} = (\text{AdjCap} + \text{Residual}) \times \text{MoneyFactor}
Formula (extracted LaTeX)
\[\text{PaymentPreTax} = \text{DepreciationFee} + \text{RentCharge}\]
\text{PaymentPreTax} = \text{DepreciationFee} + \text{RentCharge}
Formula (extracted LaTeX)
\[\text{TaxPerMonth} = \begin{cases} \text{PaymentPreTax} \times \text{TaxRate} & \text{(tax on payment)}\\ 0 & \text{(upfront/no tax)} \end{cases}\]
\text{TaxPerMonth} = \begin{cases} \text{PaymentPreTax} \times \text{TaxRate} & \text{(tax on payment)}\\ 0 & \text{(upfront/no tax)} \end{cases}
Formula (extracted text)
\[ \text{AdjCap} = \text{CapCost} - \text{Down} - \text{Rebates} - \text{TradeIn} + \text{AcqFee} + \text{Doc/DMV} \] \[ \text{Residual} = \begin{cases} \text{ResidualOverride} & \text{if provided}\\ \text{MSRP} \times \dfrac{\text{Residual\%}}{100} & \text{otherwise} \end{cases} \] \[ \text{DepreciationFee} = \dfrac{\text{AdjCap} - \text{Residual}}{\text{TermMonths}} \]\[ \text{RentCharge} = (\text{AdjCap} + \text{Residual}) \times \text{MoneyFactor} \]\[ \text{PaymentPreTax} = \text{DepreciationFee} + \text{RentCharge} \] Tax treatment: \[ \text{TaxPerMonth} = \begin{cases} \text{PaymentPreTax} \times \text{TaxRate} & \text{(tax on payment)}\\ 0 & \text{(upfront/no tax)} \end{cases} \] \[ \text{PaymentWithTax} = \text{PaymentPreTax} + \text{TaxPerMonth} \] Upfront tax (if applicable): \(\text{UpfrontTax} = \text{AdjCap} \times \text{TaxRate}\). APR conversion: \(\text{APR} \approx \text{MoneyFactor} \times 2400 \Rightarrow \text{MF} \approx \dfrac{\text{APR}}{2400}\).
Variables and units
  • P = principal (loan amount) (currency)
  • r = periodic interest rate (annual rate ÷ payments per year) (1)
  • n = total number of payments (years × payments per year) (count)
  • M = periodic payment for principal + interest (currency)
  • T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
  • CFPB Regulation M — Consumer Leasing (12 CFR Part 1013) — consumerfinance.gov · Accessed 2026-01-19
    https://www.consumerfinance.gov/rules-policy/regulations/1013/
  • Home — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/
  • Finance — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/finance
  • Loans & Debt — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/subcategories/finance-loans-debt
  • Loan Amortization Schedule — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/loan-amortization
  • APR Calculator — calcdomain.com · Accessed 2026-01-19
    https://calcdomain.com/apr
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
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  • APR Calculator
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