
Excel-verified lease finance math for AI agents: equipment, solvers, schedules.
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Exact consumer car lease calculator using real captive-lender math: money factor rent charge, residual-based depreciation, state tax methods (monthly on payment, upfront on selling price, upfront on total lease, TAVT), fee capitalization, zero-drive-off iteration, and multiple security deposit (MSD) money-factor discounts with ROI. Accepts either a money factor (e.g. 0.00225) or an APR (auto-converted). Use to verify dealer quotes, compare lease offers, or compute drive-off and lease-end buyout amounts.
MSRP in dollars, e.g. 45000
Lease term in months, typically 24, 36, or 48
Residual as percent of MSRP, e.g. 58
Annual percentage rate, e.g. 5.4; converted as apr / 2400
Dealer documentation fee
Annual mileage allowance (default 12000)
Taxed incentives in dollars
Sales tax percentage, e.g. 6.625
Number of multiple security deposits for money factor reduction
State tax method (default 'Monthly')
Cash down / cap cost reduction in dollars
Money factor, e.g. 0.00225. Provide this OR apr
Negotiated selling price (defaults to MSRP)
Bank acquisition fee, e.g. 895
true = roll fees into payment; false (default) = pay at signing
Fee charged at lease end
true = capitalize all upfront costs for $0 due at signing
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Exact consumer car lease calculator using real captive-lender math: money factor rent charge, residual-based depreciation, state tax methods (monthly on payment, upfront on selling price, upfront on total lease, TAVT), fee capitalization, zero-drive-off iteration, and multiple security deposit (MSD) money-factor discounts with ROI. Accepts either a money factor (e.g. 0.00225) or an APR (auto-converted). Use to verify dealer quotes, compare lease offers, or compute drive-off and lease-end buyout amounts.
| Argument | Type | Description |
|---|---|---|
| apr | number | Annual percentage rate, e.g. 5.4; converted as apr / 2400 |
| msrp* | number | MSRP in dollars, e.g. 45000 |
| term* | integer | Lease term in months, typically 24, 36, or 48 |
| docFee | number | Dealer documentation fee |
| mileage | integer | Annual mileage allowance (default 12000) |
| rebates | number | Taxed incentives in dollars |
| taxRate | number | Sales tax percentage, e.g. 6.625 |
| msdCount | integer | Number of multiple security deposits for money factor reduction |
| taxMethod | string | State tax method (default 'Monthly') |
| downPayment | number | Cash down / cap cost reduction in dollars |
| moneyFactor | number | Money factor, e.g. 0.00225. Provide this OR apr |
| sellingPrice | number | Negotiated selling price (defaults to MSRP) |
| tradeInEquity | number | |
| acquisitionFee | number | Bank acquisition fee, e.g. 895 |
| capitalizeFees | boolean | true = roll fees into payment; false (default) = pay at signing |
| dispositionFee | number | Fee charged at lease end |
| isZeroDriveOff | boolean | true = capitalize all upfront costs for $0 due at signing |
| registrationFee | number | |
| residualPercent* | number | Residual as percent of MSRP, e.g. 58 |
{
"type": "object",
"$schema": "http://json-schema.org/draft-07/schema#",
"required": [
"msrp",
"term",
"residualPercent"
],
"properties": {
"apr": {
"type": "number",
"maximum": 60,
"minimum": 0,
"description": "Annual percentage rate, e.g. 5.4; converted as apr / 2400"
},
"msrp": {
"type": "number",
"description": "MSRP in dollars, e.g. 45000",
"exclusiveMinimum": 0
},
"term": {
"type": "integer",
"maximum": 120,
"minimum": 1,
"description": "Lease term in months, typically 24, 36, or 48"
},
"docFee": {
"type": "number",
"minimum": 0,
"description": "Dealer documentation fee"
},
"mileage": {
"type": "integer",
"maximum": 100000,
"minimum": 1000,
"description": "Annual mileage allowance (default 12000)"
},
"rebates": {
"type": "number",
"minimum": 0,
"description": "Taxed incentives in dollars"
},
"taxRate": {
"type": "number",
"maximum": 30,
"minimum": 0,
"description": "Sales tax percentage, e.g. 6.625"
},
"msdCount": {
"type": "integer",
"maximum": 10,
"minimum": 0,
"description": "Number of multiple security deposits for money factor reduction"
},
"taxMethod": {
"enum": [
"Monthly",
"SellingPrice",
"TotalLease",
"TAVT",
"Exempt"
],
"type": "string",
"description": "State tax method (default 'Monthly')"
},
"downPayment": {
"type": "number",
"minimum": 0,
"description": "Cash down / cap cost reduction in dollars"
},
"moneyFactor": {
"type": "number",
"maximum": 0.05,
"minimum": 0,
"description": "Money factor, e.g. 0.00225. Provide this OR apr"
},
"sellingPrice": {
"type": "number",
"description": "Negotiated selling price (defaults to MSRP)",
"exclusiveMinimum": 0
},
"tradeInEquity": {
"type": "number",
"minimum": 0
},
"acquisitionFee": {
"type": "number",
"minimum": 0,
"description": "Bank acquisition fee, e.g. 895"
},
"capitalizeFees": {
"type": "boolean",
"description": "true = roll fees into payment; false (default) = pay at signing"
},
"dispositionFee": {
"type": "number",
"minimum": 0,
"description": "Fee charged at lease end"
},
"isZeroDriveOff": {
"type": "boolean",
"description": "true = capitalize all upfront costs for $0 due at signing"
},
"registrationFee": {
"type": "number",
"minimum": 0
},
"residualPercent": {
"type": "number",
"maximum": 100,
"minimum": 1,
"description": "Residual as percent of MSRP, e.g. 58"
}
},
"additionalProperties": false
}Exact auto loan payment calculator for vehicle purchases. Computes monthly payment, total interest, total cost, and upfront cash for financed purchases, or the all-in cost for cash purchases. Useful together with calculate_auto_lease for lease-versus-buy comparisons.
| Argument | Type | Description |
|---|---|---|
| rate | number | Annual loan rate percentage (required for finance) |
| term | integer | Loan term in months (required for finance) |
| salesTax | number | Upfront sales tax amount in dollars (not a percentage) |
| downPayment | number | |
| vehiclePrice* | number | Out-the-door vehicle price in dollars |
| tradeInCredit | number | Trade-in equity applied in dollars |
| purchaseMethod | string | Default 'finance' |
{
"type": "object",
"$schema": "http://json-schema.org/draft-07/schema#",
"required": [
"vehiclePrice"
],
"properties": {
"rate": {
"type": "number",
"maximum": 60,
"minimum": 0,
"description": "Annual loan rate percentage (required for finance)"
},
"term": {
"type": "integer",
"maximum": 120,
"minimum": 1,
"description": "Loan term in months (required for finance)"
},
"salesTax": {
"type": "number",
"minimum": 0,
"description": "Upfront sales tax amount in dollars (not a percentage)"
},
"downPayment": {
"type": "number",
"minimum": 0
},
"vehiclePrice": {
"type": "number",
"description": "Out-the-door vehicle price in dollars",
"exclusiveMinimum": 0
},
"tradeInCredit": {
"type": "number",
"minimum": 0,
"description": "Trade-in equity applied in dollars"
},
"purchaseMethod": {
"enum": [
"finance",
"cash"
],
"type": "string",
"description": "Default 'finance'"
}
},
"additionalProperties": false
}Deterministic commercial equipment lease and finance calculator. Computes the exact periodic payment for equipment leases and equipment financing agreements: level payments, balloon, step-up/step-down, custom payment streams, interest-only periods, and skip/seasonal structures. Regression-tested against Excel-verified amortization to the penny. Use this instead of estimating lease payments: LLM arithmetic on compounding interest is unreliable, this engine is not. Returns payment, tax, interim rent, and totals (total interest, total of payments, final balance).
| Argument | Type | Description |
|---|---|---|
| steps | array | For Step/Custom structures: ordered payment segments |
| taxRate | number | Sales tax rate percentage, e.g. 7 |
| leaseTerm* | integer | Lease term in months, e.g. 60 |
| taxMethod | string | Sales tax treatment: 'Exempt' (default), 'Monthly' on top of payment, or 'Upfront' capitalized |
| skipMonths | array | For Skip: calendar months (1=Jan..12=Dec) skipped every year of the term, e.g. [12,1,2] for a seasonal business closed in winter |
| downPayment | number | Down payment in dollars |
| fundingDate | string | Funding date YYYY-MM-DD; a gap before leaseStartDate produces interim rent |
Generates the complete period-by-period amortization schedule for a commercial equipment lease or finance agreement: payment date, payment amount, interest portion, principal portion, and remaining balance for every period, plus totals. Supports all payment structures (level, balloon, step, skip/seasonal, interest-only) and both 30/360 and Actual/365 day counts. Use when the user needs the full payment schedule, a payoff balance at a specific period, or interest/principal splits for accounting.
| Argument | Type | Description |
|---|---|---|
| steps | array | For Step/Custom structures: ordered payment segments |
| taxRate | number | Sales tax rate percentage, e.g. 7 |
| leaseTerm* | integer | Lease term in months, e.g. 60 |
| taxMethod | string | Sales tax treatment: 'Exempt' (default), 'Monthly' on top of payment, or 'Upfront' capitalized |
| skipMonths | array | For Skip: calendar months (1=Jan..12=Dec) skipped every year of the term, e.g. [12,1,2] for a seasonal business closed in winter |
| downPayment | number | Down payment in dollars |
| fundingDate | string | Funding date YYYY-MM-DD; a gap before leaseStartDate produces interim rent |
Newton-Raphson reverse solver for commercial equipment leases. Given a known target payment, solves for the unknown deal variable: the implicit interest rate (yield) buried in a quote, the term length, the residual value, or the present value of a payment stream. This is the tool for questions like "what rate am I really paying?", "what residual makes this payment work?", or "what is this payment stream worth today?". Multi-variable iterative solving that LLMs cannot do reliably by hand.
| Argument | Type | Description |
|---|---|---|
| solveFor* | string | The unknown variable to solve for |
| leaseTerm | integer | Term in months (omit when solving Term) |
| interestRate | number | Annual rate percentage (omit when solving Rate) |
| equipmentCost | number | Equipment cost in dollars (omit when solving PresentValue) |
| paymentTiming | string | |
| residualValue | number | Residual in dollars (omit when solving ResidualValue) |
| targetPayment* | number | The known periodic payment amount to solve from |
| paymentFrequency | string |
| interestRate* |
| number |
| Annual interest rate as a percentage, e.g. 7.5 for 7.5% |
| equipmentCost* | number | Total equipment cost in dollars, e.g. 150000 |
| paymentTiming | string | 'Arrears' = end of period (default), 'Advance' = beginning of period |
| residualValue | number | End-of-term residual in dollars (default 0 = full payout). Alternative: residualPercent |
| leaseStartDate | string | First payment date YYYY-MM-DD (defaults to today) |
| residualPercent | number | Residual as a percent of equipment cost, e.g. 10 for 10% FMV |
| upfrontPayments | integer | Number of payments collected in advance at signing |
| interestOnlyTerm | integer | For InterestOnly: number of interest-only months before amortization begins |
| paymentFrequency | string | Payment frequency (default 'Monthly') |
| paymentStructure | string | Payment structure (default 'Level') |
| balloonPercentage | number | For Balloon: final payment as percent of equipment cost, e.g. 20 |
| skipPaymentAmount | number | Amount paid during skipped months (often 0) |
| additionalClosingFees | number | Documentation/closing fees in dollars |
{
"type": "object",
"$schema": "http://json-schema.org/draft-07/schema#",
"required": [
"equipmentCost",
"leaseTerm",
"interestRate"
],
"properties": {
"steps": {
"type": "array",
"items": {
"type": "object",
"required": [
"periodCount",
"amount"
],
"properties": {
"type": {
"enum": [
"Fixed",
"Calculated",
"PercentIncrease",
"PercentDecrease",
"Compounding",
"InterestOnly"
],
"type": "string"
},
"amount": {
"type": "number",
"minimum": 0,
"description": "Payment amount for this step; use 0 with type 'Calculated' to let the engine solve it"
},
"periodCount": {
"type": "integer",
"minimum": 1,
"description": "How many periods this step lasts"
}
},
"additionalProperties": false
},
"description": "For Step/Custom structures: ordered payment segments"
},
"taxRate": {
"type": "number",
"maximum": 30,
"minimum": 0,
"description": "Sales tax rate percentage, e.g. 7"
},
"leaseTerm": {
"type": "integer",
"maximum": 600,
"minimum": 1,
"description": "Lease term in months, e.g. 60"
},
"taxMethod": {
"enum": [
"Exempt",
"Monthly",
"Upfront"
],
"type": "string",
"description": "Sales tax treatment: 'Exempt' (default), 'Monthly' on top of payment, or 'Upfront' capitalized"
},
"skipMonths": {
"type": "array",
"items": {
"type": "integer",
"maximum": 12,
"minimum": 1
},
"description": "For Skip: calendar months (1=Jan..12=Dec) skipped every year of the term, e.g. [12,1,2] for a seasonal business closed in winter"
},
"downPayment": {
"type": "number",
"minimum": 0,
"description": "Down payment in dollars"
},
"fundingDate": {
"type": "string",
"pattern": "^\\d{4}-\\d{2}-\\d{2}$",
"description": "Funding date YYYY-MM-DD; a gap before leaseStartDate produces interim rent"
},
"interestRate": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "Annual interest rate as a percentage, e.g. 7.5 for 7.5%"
},
"equipmentCost": {
"type": "number",
"description": "Total equipment cost in dollars, e.g. 150000",
"exclusiveMinimum": 0
},
"paymentTiming": {
"enum": [
"Arrears",
"Advance"
],
"type": "string",
"description": "'Arrears' = end of period (default), 'Advance' = beginning of period"
},
"residualValue": {
"type": "number",
"minimum": 0,
"description": "End-of-term residual in dollars (default 0 = full payout). Alternative: residualPercent"
},
"leaseStartDate": {
"type": "string",
"pattern": "^\\d{4}-\\d{2}-\\d{2}$",
"description": "First payment date YYYY-MM-DD (defaults to today)"
},
"residualPercent": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "Residual as a percent of equipment cost, e.g. 10 for 10% FMV"
},
"upfrontPayments": {
"type": "integer",
"maximum": 12,
"minimum": 0,
"description": "Number of payments collected in advance at signing"
},
"interestOnlyTerm": {
"type": "integer",
"maximum": 120,
"minimum": 0,
"description": "For InterestOnly: number of interest-only months before amortization begins"
},
"paymentFrequency": {
"enum": [
"Monthly",
"Quarterly",
"Semi-Annual",
"Annual",
"Weekly",
"Bi-Weekly"
],
"type": "string",
"description": "Payment frequency (default 'Monthly')"
},
"paymentStructure": {
"enum": [
"Level",
"Balloon",
"Step",
"Custom",
"InterestOnly",
"Skip"
],
"type": "string",
"description": "Payment structure (default 'Level')"
},
"balloonPercentage": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "For Balloon: final payment as percent of equipment cost, e.g. 20"
},
"skipPaymentAmount": {
"type": "number",
"minimum": 0,
"description": "Amount paid during skipped months (often 0)"
},
"additionalClosingFees": {
"type": "number",
"minimum": 0,
"description": "Documentation/closing fees in dollars"
}
},
"additionalProperties": false
}| interestRate* |
| number |
| Annual interest rate as a percentage, e.g. 7.5 for 7.5% |
| equipmentCost* | number | Total equipment cost in dollars, e.g. 150000 |
| paymentTiming | string | 'Arrears' = end of period (default), 'Advance' = beginning of period |
| residualValue | number | End-of-term residual in dollars (default 0 = full payout). Alternative: residualPercent |
| leaseStartDate | string | First payment date YYYY-MM-DD (defaults to today) |
| residualPercent | number | Residual as a percent of equipment cost, e.g. 10 for 10% FMV |
| upfrontPayments | integer | Number of payments collected in advance at signing |
| interestOnlyTerm | integer | For InterestOnly: number of interest-only months before amortization begins |
| paymentFrequency | string | Payment frequency (default 'Monthly') |
| paymentStructure | string | Payment structure (default 'Level') |
| balloonPercentage | number | For Balloon: final payment as percent of equipment cost, e.g. 20 |
| skipPaymentAmount | number | Amount paid during skipped months (often 0) |
| additionalClosingFees | number | Documentation/closing fees in dollars |
{
"type": "object",
"$schema": "http://json-schema.org/draft-07/schema#",
"required": [
"equipmentCost",
"leaseTerm",
"interestRate"
],
"properties": {
"steps": {
"type": "array",
"items": {
"type": "object",
"required": [
"periodCount",
"amount"
],
"properties": {
"type": {
"enum": [
"Fixed",
"Calculated",
"PercentIncrease",
"PercentDecrease",
"Compounding",
"InterestOnly"
],
"type": "string"
},
"amount": {
"type": "number",
"minimum": 0,
"description": "Payment amount for this step; use 0 with type 'Calculated' to let the engine solve it"
},
"periodCount": {
"type": "integer",
"minimum": 1,
"description": "How many periods this step lasts"
}
},
"additionalProperties": false
},
"description": "For Step/Custom structures: ordered payment segments"
},
"taxRate": {
"type": "number",
"maximum": 30,
"minimum": 0,
"description": "Sales tax rate percentage, e.g. 7"
},
"leaseTerm": {
"type": "integer",
"maximum": 600,
"minimum": 1,
"description": "Lease term in months, e.g. 60"
},
"taxMethod": {
"enum": [
"Exempt",
"Monthly",
"Upfront"
],
"type": "string",
"description": "Sales tax treatment: 'Exempt' (default), 'Monthly' on top of payment, or 'Upfront' capitalized"
},
"skipMonths": {
"type": "array",
"items": {
"type": "integer",
"maximum": 12,
"minimum": 1
},
"description": "For Skip: calendar months (1=Jan..12=Dec) skipped every year of the term, e.g. [12,1,2] for a seasonal business closed in winter"
},
"downPayment": {
"type": "number",
"minimum": 0,
"description": "Down payment in dollars"
},
"fundingDate": {
"type": "string",
"pattern": "^\\d{4}-\\d{2}-\\d{2}$",
"description": "Funding date YYYY-MM-DD; a gap before leaseStartDate produces interim rent"
},
"interestRate": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "Annual interest rate as a percentage, e.g. 7.5 for 7.5%"
},
"equipmentCost": {
"type": "number",
"description": "Total equipment cost in dollars, e.g. 150000",
"exclusiveMinimum": 0
},
"paymentTiming": {
"enum": [
"Arrears",
"Advance"
],
"type": "string",
"description": "'Arrears' = end of period (default), 'Advance' = beginning of period"
},
"residualValue": {
"type": "number",
"minimum": 0,
"description": "End-of-term residual in dollars (default 0 = full payout). Alternative: residualPercent"
},
"leaseStartDate": {
"type": "string",
"pattern": "^\\d{4}-\\d{2}-\\d{2}$",
"description": "First payment date YYYY-MM-DD (defaults to today)"
},
"residualPercent": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "Residual as a percent of equipment cost, e.g. 10 for 10% FMV"
},
"upfrontPayments": {
"type": "integer",
"maximum": 12,
"minimum": 0,
"description": "Number of payments collected in advance at signing"
},
"interestOnlyTerm": {
"type": "integer",
"maximum": 120,
"minimum": 0,
"description": "For InterestOnly: number of interest-only months before amortization begins"
},
"paymentFrequency": {
"enum": [
"Monthly",
"Quarterly",
"Semi-Annual",
"Annual",
"Weekly",
"Bi-Weekly"
],
"type": "string",
"description": "Payment frequency (default 'Monthly')"
},
"paymentStructure": {
"enum": [
"Level",
"Balloon",
"Step",
"Custom",
"InterestOnly",
"Skip"
],
"type": "string",
"description": "Payment structure (default 'Level')"
},
"balloonPercentage": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "For Balloon: final payment as percent of equipment cost, e.g. 20"
},
"skipPaymentAmount": {
"type": "number",
"minimum": 0,
"description": "Amount paid during skipped months (often 0)"
},
"additionalClosingFees": {
"type": "number",
"minimum": 0,
"description": "Documentation/closing fees in dollars"
}
},
"additionalProperties": false
}{
"type": "object",
"$schema": "http://json-schema.org/draft-07/schema#",
"required": [
"solveFor",
"targetPayment"
],
"properties": {
"solveFor": {
"enum": [
"Rate",
"Term",
"ResidualValue",
"PresentValue",
"Commission"
],
"type": "string",
"description": "The unknown variable to solve for"
},
"leaseTerm": {
"type": "integer",
"maximum": 600,
"minimum": 1,
"description": "Term in months (omit when solving Term)"
},
"interestRate": {
"type": "number",
"maximum": 100,
"minimum": 0,
"description": "Annual rate percentage (omit when solving Rate)"
},
"equipmentCost": {
"type": "number",
"description": "Equipment cost in dollars (omit when solving PresentValue)",
"exclusiveMinimum": 0
},
"paymentTiming": {
"enum": [
"Arrears",
"Advance"
],
"type": "string"
},
"residualValue": {
"type": "number",
"minimum": 0,
"description": "Residual in dollars (omit when solving ResidualValue)"
},
"targetPayment": {
"type": "number",
"description": "The known periodic payment amount to solve from",
"exclusiveMinimum": 0
},
"paymentFrequency": {
"enum": [
"Monthly",
"Quarterly",
"Semi-Annual",
"Annual",
"Weekly",
"Bi-Weekly"
],
"type": "string"
}
},
"additionalProperties": false
}