Data Source and Methodology
✓ Authoritative Source
This calculator provides professional-grade estimates based on regulatory standards and industry conventions for auto leasing.
- Consumer Financial Protection Bureau (CFPB), Regulation M — Consumer Leasing (12 CFR Part 1013), current version as of 2024. Direct Link
- Federal Trade Commission guidance on leasing disclosure standards and consumer protection.
- Industry convention for APR to Money Factor conversion: APR% = MF × 2400, widely adopted by U.S. captive finance companies.
All calculations are strictly based on the formulas and data provided by these authoritative sources.
The Auto Lease Formula Explained
Understanding the mathematics behind auto leasing helps you make informed decisions. Here are the core formulas used by our calculator:
Adjusted Cap Cost:
C_adj = max(0, (P_sell + F_cap) - R_cap)
Residual Value:
V_res = MSRP × (r_res / 100)
Monthly Depreciation Charge:
D = (C_adj - V_res) / n
Monthly Finance (Rent) Charge:
F = (C_adj + V_res) × MF
Base Monthly Payment (pre-tax):
M_base = D + F
Sales Tax (varies by state):
• Monthly-taxed: T_mo = M_base × t
• Upfront on total: T_up = (M_base × n) × t
• Upfront on price: T_cap = P_sell × t
Variables:
P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)
How to Use the Auto Lease Calculator
Our calculator is designed to provide accurate lease estimates by considering all major factors that affect your monthly payment and total cost.
Step-by-Step Instructions
- MSRP: Enter the Manufacturer's Suggested Retail Price. This is used to calculate the residual value.
- Negotiated Price: Enter the actual selling price you've negotiated with the dealer.
- Term: Enter the lease duration in months (typically 24, 36, or 48 months).
- Residual Value: Enter the percentage of MSRP that the vehicle is expected to be worth at lease end. This is typically set by the lessor.
- Finance Rate: Choose between APR (Annual Percentage Rate) or Money Factor. To convert: MF = APR ÷ 2400.
- Down Payment: Enter any capitalized cost reduction you're making upfront.
- Trade-in Credit: Enter the value of any vehicle you're trading in.
- Fees: Enter acquisition fees and other charges. Choose whether to capitalize (finance) the acquisition fee or pay it upfront.
- Sales Tax: Enter your local tax rate and choose the tax treatment method used in your state.
In-Content Ad Unit
Understanding Your Lease Results
The calculator provides a comprehensive breakdown of your auto lease costs:
- Monthly Payment (with tax): Your total monthly payment including applicable taxes.
- Monthly Payment (before tax): The base payment before taxes are applied.
- Due at Signing: Amount typically due when you sign the lease, including first payment, taxes, fees, and down payment minus trade-in credit.
- Total Lease Cost: The complete cost including all payments, taxes, and fees over the lease term.
- Effective Monthly: Total lease cost divided by the term, showing the true monthly cost.
- Adjusted Cap Cost: The amount being financed after adding fees and subtracting reductions.
- Residual Value: The vehicle's projected value at lease end.
- Depreciation: The total amount you're paying for the vehicle's value loss during the lease.
- Finance Charge: The total interest-like charges over the lease term.
Worked Example: Step-by-Step Calculation
Scenario: MSRP $40,000; Negotiated Price $37,000; Term 36 months; Residual 60%; Money Factor 0.0020 (≈ 4.8% APR); Acquisition Fee $650 (capitalized); Down Payment $2,000; Tax 8% on monthly payment.
1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650
2. Residual: V_res = 40,000 × 0.60 = $24,000
3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39
4. Finance: F = (35,650 + 24,000) × 0.0020 = $119.30
5. Base Monthly: M_base = 326.39 + 119.30 = $445.69
6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66
7. Monthly with tax: M_with = $481.35
8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35
Key Factors That Affect Your Lease Payment
Residual Value Impact
Higher residual values result in lower monthly payments because you're paying for less depreciation. Residual values are typically set by the lessor based on industry guides and can vary by trim level, options, and mileage allowance.
Money Factor vs APR
The money factor is essentially the interest rate for your lease. A lower money factor means lower monthly payments. To compare with loan rates, multiply the money factor by 2400 to get the equivalent APR.
Capitalized Cost Reductions
Down payments, rebates, and trade-in credits reduce the adjusted capitalized cost, lowering your monthly payment. However, consider the risk: if the vehicle is totaled or stolen, you may not recover upfront payments.
Mileage Allowances
Higher mileage allowances typically reduce residual values, increasing your monthly payment. Choose a mileage allowance that matches your driving habits to avoid excess mileage charges.
Frequently Asked Questions (FAQ)
How do I convert APR to Money Factor?
Use the formula: MF = APR% ÷ 2400. For example, 4.8% APR equals 0.0020 Money Factor. This conversion is widely used in the auto leasing industry.
Is residual value based on MSRP or negotiated price?
Residual value is typically calculated as a percentage of MSRP, not the negotiated price. This is set by the lessor and cannot usually be negotiated.
Should I put money down on a lease?
Down payments lower monthly payments but don't always reduce total cost proportionally. Consider the risk: if the vehicle is totaled or stolen, you may lose your down payment. Many experts recommend minimal or no down payment on leases.
What fees are typically included in a lease?
Common fees include acquisition fee (lessor's administrative charge), documentation fee, title and registration, and dealer-installed options. The acquisition fee can usually be capitalized (financed) or paid upfront.
How are taxes applied to leases?
Tax treatment varies by state. Some states tax each monthly payment, others tax the total of all payments upfront, and some tax the vehicle's full price upfront. Check your state's rules or consult your Department of Revenue.
Why doesn't my dealer quote match exactly?
Differences can arise from state-specific taxes, fees, official money factors, residual granularity, and rounding policies. Use the same inputs and methods to align calculations with dealer quotes.
Lease vs. Buy Decision Factors
Consider these factors when deciding between leasing and buying:
- Monthly Cash Flow: Leases typically offer lower monthly payments than loans.
- Ownership: You never own a leased vehicle; loans result in ownership.
- Mileage Restrictions: Leases have mileage limits; owned vehicles don't.
- Wear and Tear: Leases may charge for excessive wear; owned vehicles don't have this concern.
- Latest Technology: Leasing allows you to drive newer vehicles with latest features.
- Total Cost: Continuous leasing is typically more expensive long-term than buying and keeping a vehicle.
Formula (LaTeX) + variables + units
','
Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)
1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
Audit: Complete 19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35 Formula (LaTeX) + variables + units
This section shows the exact formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)\[\]Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)\[\]1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35 Formula (LaTeX) + variables + units
This section shows the exact formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)\[\]Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)\[\]1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 =
19.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35 Formula (LaTeX) + variables + units
This section shows the exact formulas used by the calculator engine, plus variable definitions and units.Formula (extracted LaTeX)\[','\]','Formula (extracted text)\[\]Adjusted Cap Cost: C_adj = max(0, (P_sell + F_cap) - R_cap) Residual Value: V_res = MSRP × (r_res / 100) Monthly Depreciation Charge: D = (C_adj - V_res) / n Monthly Finance (Rent) Charge: F = (C_adj + V_res) × MF Base Monthly Payment (pre-tax): M_base = D + F Sales Tax (varies by state): • Monthly-taxed: T_mo = M_base × t • Upfront on total: T_up = (M_base × n) × t • Upfront on price: T_cap = P_sell × t Variables: P_sell (negotiated price), F_cap (capitalized fees), R_cap (cap reductions), r_res (residual %), n (term), MF (money factor), t (tax rate)Formula (extracted text)\[\]1. Adjusted Cap Cost: C_adj = (37,000 + 650) - 2,000 = $35,650 2. Residual: V_res = 40,000 × 0.60 = $24,000 3. Depreciation: D = (35,650 - 24,000) / 36 = $326.39 4. Finance: F = (35,650 + 24,000) × 0.0020 = $119.30 5. Base Monthly: M_base = 326.39 + 119.30 = $445.69 6. Tax (monthly): T_mo = 445.69 × 0.08 = $35.66 7. Monthly with tax: M_with = $481.35 8. Due at signing: $481.35 + $0 + $2,000 - $0 = $2,481.35Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
Variables and units
- T = property tax (annual or monthly depending on input) (currency)
Sources (authoritative):
- Direct Link — 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/financeChangelog
Version: 0.1.0-draft
Last code update: 2026-01-190.1.0-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.
- T = property tax (annual or monthly depending on input) (currency)
- Direct Link — 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
Last code update: 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.