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Auto Lease, Auto Loan & EMI Calculator

Move the sliders — the payment, breakdown, and charts update instantly.

Auto Lease Calculator

Estimate: depreciation + rent charge + tax (common method)
Monthly Payment
Auto Price
$5,000$200,000
Lease Term (months)
1284
Interest Rate (APR %)
0.01%60%
Down Payment
$0$50,000
Trade-in Value
$0$50,000
Sales Tax (%)
015
Residual Value
$0$150,000

Lease Breakdown

Transparent components that sum to the monthly payment
Adjusted Cap Cost
Monthly Depreciation
Monthly Rent Charge
Monthly Tax

Live Chart

Conceptual remaining value curve (not a lender payoff statement)

How the lease estimate is computed

  1. Cap cost = price − down payment − trade-in.
  2. Depreciation = (cap cost − residual) ÷ term.
  3. Rent charge = (cap cost + residual) × money factor.
  4. Tax = (depreciation + rent) × tax rate (common method).
Tax methods vary by region. This model matches the common ‘monthly tax on payment’ approach used in many online calculators.

AUTO LEASE CALCULATOR — FULL PROFESSIONAL EXPLANATION

Auto Lease Calculator — Full Explanation

Auto Lease Calculator — How Lease Payments Are Really Calculated

A car lease is not a loan. When you lease a car, you are not paying for the full value of the vehicle. Instead, you are paying for:

  1. The portion of the car’s value that you use

  2. The financing cost for using the lender’s money

  3. The taxes applied to those charges

At the end of the lease, you do not own the car unless you choose to buy it for a pre-agreed amount called the residual value.

This calculator uses the standard industry lease approximation method used by most banks, captive finance companies, and automotive websites.

Source:
https://www.edmunds.com/car-leasing/calculate-your-own-lease-payment.html


The Three Parts of Every Lease Payment

Every lease payment is built from three components:

  1. Depreciation charge – how much value of the car you consume

  2. Rent charge – the interest (financing) cost

  3. Tax – applied according to local rules

In simple terms:

Monthly Lease Payment = Depreciation + Rent Charge + Tax


Understanding Each Input Field


Auto Price

This is the negotiated price of the vehicle. It is the starting point for all lease calculations. A higher vehicle price increases:

  • The depreciation portion

  • The rent (finance) charge

  • The tax

Even if two leases have the same monthly payment, the more expensive car will usually have worse financial value.


Lease Term (Months)

This is the length of the lease, usually 24, 36, or 48 months. A longer lease:

  • Reduces monthly depreciation

  • But often increases total money paid

  • May exceed warranty coverage


Interest Rate (APR)

Leases do not directly use APR. Instead, they use a number called the money factor.

However, this calculator allows you to enter APR and internally converts it using the standard formula:

Money Factor = APR ÷ 2400

Example:

APR = 6%
Money Factor = 6 ÷ 2400 = 0.0025

This number is then used to compute the rent charge.


Down Payment

This is the cash you pay upfront. In leasing, this is often called capital cost reduction.

Important warning:

A down payment on a lease does NOT protect you if the car is totaled or stolen.

It only:

  • Reduces the monthly payment

  • Does NOT reduce the total lease cost proportionally

Financial experts usually recommend keeping lease down payments as low as possible.


Trade-in Value

If you trade in a car, its value reduces the amount being leased. Functionally, it acts like a down payment.


Residual Value

The residual value is the expected value of the car at the end of the lease. This number is set by the leasing company, not by the dealer.

A higher residual value:

  • Lowers depreciation

  • Lowers the monthly payment

Residual values are one of the most important hidden factors in lease pricing.


Sales Tax

Many regions apply tax monthly on the lease payment instead of upfront. Some regions use different methods. This calculator uses the common monthly-tax method and shows tax transparently.


Step 1: Adjusted Capitalized Cost (Cap Cost)

This is the effective starting value of the lease.

Adjusted Cap Cost =
Vehicle Price − Down Payment − Trade-in Value

Example

Vehicle price: $40,000
Down payment: $3,000
Trade-in: $2,000

Adjusted cap cost =
40,000 − 3,000 − 2,000 = $35,000


Step 2: Monthly Depreciation Charge

This is how much vehicle value you are consuming each month.

Depreciation =
(Adjusted Cap Cost − Residual Value) ÷ Lease Term

Example

Adjusted cap cost: $35,000
Residual value: $22,000
Term: 36 months

Depreciation =
(35,000 − 22,000) ÷ 36 = $361.11 per month


Step 3: Rent Charge (Finance Charge)

This is the interest portion of the lease.

Rent Charge =
(Adjusted Cap Cost + Residual Value) × Money Factor

Example

Money factor: 0.0025

Rent charge =
(35,000 + 22,000) × 0.0025 = $142.50 per month


Step 4: Monthly Tax

Tax =
(Depreciation + Rent Charge) × Tax Rate

Example

(361.11 + 142.50) × 7% = $35.19


Final Monthly Lease Payment

361.11 + 142.50 + 35.19 =

$538.80 per month


What the “Concept Balance” Chart Means

Unlike a loan, a lease does not have a true payoff balance. The chart shown here is a conceptual balance:

Residual Value + Remaining Depreciation

This is only a visual teaching tool, not a real payoff quote.


Why Lease Payments Can Be Misleading

A lease can look cheap because:

  • Residual value is artificially high

  • Term is stretched

  • Money factor is hidden

  • Large down payment is used

Two leases with the same monthly payment can have very different total costs.


Common Lease Mistakes

  • Focusing only on monthly payment

  • Putting too much money down

  • Ignoring mileage limits and penalties

  • Not understanding residual manipulation

  • Leasing cars with poor resale value

Source:
https://www.consumerreports.org/cars/car-leasing/


When Leasing Is Financially Dangerous

  • If you drive high mileage

  • If you damage vehicles often

  • If you want long-term ownership

  • If you lease repeatedly without building equity


Final Financial Truth About Leasing

Leasing is the most expensive way to continuously drive cars, but the cheapest way to drive new cars.

It is a lifestyle choice, not a wealth-building strategy.


Important Disclaimer

Real lease contracts may include:

  • Acquisition fees

  • Disposition fees

  • Markups

  • Different tax treatments

This calculator provides a transparent educational estimate, not a dealer quote.


Sources

AUTO LOAN CALCULATOR — FULL EXPLANATION

Auto Loan Calculator — Full Explanation

Auto Loan Calculator — How Car Loan Payments Are Really Calculated

Buying a car with a loan means you are borrowing a fixed amount of money and repaying it in equal monthly installments over a fixed period of time. Each monthly payment includes two parts: interest and principal repayment. At the beginning of the loan, most of your payment goes toward interest. Over time, more of the payment goes toward reducing the loan balance.

This calculator follows the same mathematical method used by banks and financial institutions to compute auto loans. The goal is not only to show you the monthly payment, but also to show you how much the car actually costs you in total after interest, taxes, and fees.


Understanding Each Input Field

Auto Price

This is the sticker price or negotiated purchase price of the vehicle before any discounts, incentives, or trade-ins are applied. This number is the starting point of all calculations. A higher vehicle price increases the amount of money that must be financed and therefore increases both the monthly payment and the total interest paid over time.


Loan Term (Months)

The loan term is the number of months over which you will repay the loan. Common terms are 36, 48, 60, 72, or 84 months. A longer loan term reduces the monthly payment, but increases the total interest you pay over the life of the loan. A shorter term increases the monthly payment, but reduces the total interest cost.


Interest Rate (APR)

This is the annual interest rate charged by the lender. The calculator converts this annual rate into a monthly interest rate and applies it to the remaining balance every month. Even a small difference in interest rate (for example, 5% vs 6%) can result in thousands of dollars of extra cost over a long loan.


Cash Incentives

Cash incentives are discounts provided by the manufacturer or dealer. These reduce the effective purchase price of the vehicle. Depending on local tax laws, incentives may or may not reduce the taxable amount. In this calculator, incentives reduce the vehicle price before calculating the loan amount.


Down Payment

The down payment is the amount of money you pay upfront in cash. This amount directly reduces the amount you need to borrow. A larger down payment:

  • Lowers your monthly payment

  • Reduces total interest paid

  • Reduces the risk of being “upside down” on the loan


Trade-in Value

If you trade in your old car, the dealer gives you credit toward the new purchase. This credit reduces the amount you need to finance. However, trade-in values offered by dealers are usually lower than private sale values.


Amount Owed on Trade-in

If you still owe money on your old car, that unpaid balance is added to your new loan. This is called negative equity. It increases the loan amount and can make the new loan significantly more expensive.


Sales Tax

Sales tax is calculated based on local laws. In many regions, tax is calculated on the vehicle price minus trade-in value. In some regions, trade-ins do not reduce taxable value. This calculator uses a transparent simplified model and shows you exactly how much tax is being added.


Title, Registration, and Other Fees

These include government and dealer fees such as:

  • Registration

  • Title processing

  • Documentation fees

  • Delivery fees

These fees can either be paid upfront or added to the loan.


Include Taxes and Fees in Loan

If this option is checked, taxes and fees are added to the loan balance and financed. This lowers your upfront payment but increases total interest paid because you are paying interest on taxes and fees as well.


How the Loan Amount Is Calculated

The calculator first computes the actual loan principal using the following logic:

Loan Amount =
Vehicle Price
− Cash Incentives
− Down Payment
− Trade-in Value

  • Amount Owed on Trade-in

  • (Taxes and Fees, if financed)


Real Numeric Example

Assume:

  • Vehicle price: $100,000

  • Down payment: $10,000

  • Trade-in: $0

  • Tax: $7,000

  • Fees: $2,000

  • Loan term: 60 months

  • Interest rate: 5%

Loan amount:

100,000 − 10,000 + 7,000 + 2,000 = $99,000

(If taxes and fees are not financed, they are paid upfront instead.)


How the Monthly Payment Is Calculated

Banks use a standard amortization formula. Each month:

  • Interest is calculated on the remaining balance

  • The rest of the payment reduces the principal

At the beginning, the balance is high, so interest is high. Over time, interest decreases and more of the payment goes toward principal.


Example Result

Loan amount: $90,000
Interest rate: 5%
Term: 60 months

Monthly payment: $1,698.41
Total paid over 60 months: $101,904.66
Total interest: $11,904.66

This means the car costs almost $12,000 more than the sticker price because of financing.


Why Focusing Only on Monthly Payment Is a Mistake

Many buyers only look at whether they can “afford the monthly payment”. Dealers know this and often:

  • Extend the loan term

  • Hide the true total cost

  • Increase total interest dramatically

You should always look at:

  • Total interest paid

  • Total cost of the vehicle

Not just the monthly payment.


What the Balance Chart and Amortization Table Mean

The balance chart shows how your loan balance decreases over time. The amortization table shows, month by month:

  • How much of each payment is interest

  • How much goes to principal

  • What the remaining balance is

This makes it very clear how expensive long loans really are.


Important Warnings

  • Long loan terms are financially dangerous

  • Rolling fees and taxes into the loan increases total cost

  • Negative equity can trap you in debt for years

  • A car is a depreciating asset, not an investment

Source references:

  • https://www.consumerfinance.gov/ask-cfpb/what-is-an-auto-loan-en-847/

  • https://www.investopedia.com/terms/a/amortization.asp


 

Loan / EMI Calculator — How EMI Is Calculated (Step by Step)

Loan / EMI Calculator — Full Explanation

An EMI (Equated Monthly Installment) is a fixed monthly payment used to repay a loan over a specific period. Each EMI includes two parts:

  • Interest (the cost of borrowing money)

  • Principal repayment (the part that reduces the loan balance)

Even though the EMI stays the same every month (for a fixed-rate loan), the split changes over time: early payments are mostly interest, later payments are mostly principal. This is normal and comes from how amortization works.

Reference (plain-English):
https://www.investopedia.com/terms/a/amortization.asp
Formula background:
https://en.wikipedia.org/wiki/Amortization_calculator


Understanding Each Input Field

Principal

The principal is the amount you borrow (the starting loan balance). A higher principal increases the EMI and the total interest you will pay.


Interest (p.a. %)

This is the annual interest rate (APR). The calculator converts it into a monthly interest rate because interest is charged monthly in most installment loans.

Monthly Rate (r) = Annual Rate ÷ 12 ÷ 100

Example:
Annual rate = 12%
Monthly rate = 12 ÷ 12 ÷ 100 = 0.01 (which is 1% per month)


Tenure (Months)

Tenure is the total number of monthly payments. A longer tenure reduces EMI but increases total interest, because interest is charged for more months.


The EMI Formula (Fixed-Rate Amortized Loan)

For a fixed-rate loan, the EMI is calculated using the standard amortization formula:

  • P = Principal (loan amount)

  • r = Monthly interest rate (decimal)

  • n = Number of months

EMI = P × r × (1 + r)ⁿ ÷ [(1 + r)ⁿ − 1]

If the interest rate is 0% (r = 0), the payment becomes simple:

EMI = P ÷ n

Reference:
https://en.wikipedia.org/wiki/Amortization_calculator


Step-by-Step EMI Example (With Real Numbers)

Let’s calculate EMI for:

  • Principal (P) = 500,000

  • Annual interest rate = 7.7%

  • Tenure (n) = 84 months


Step 1: Convert Annual Interest Rate to Monthly Rate

Annual rate = 7.7%
Monthly rate:

7.7 ÷ 12 ÷ 100 = 0.0064167

So r = 0.0064167


Step 2: Compute (1 + r)ⁿ

(1 + r) = 1.0064167
n = 84

(1.0064167)⁸⁴ ≈ 1.713 (rounded)


Step 3: Plug Into the EMI Formula

EMI =
500,000 × 0.0064167 × 1.713 ÷ (1.713 − 1)

Top part:
500,000 × 0.0064167 × 1.713 ≈ 5,497.9

Bottom part:
1.713 − 1 = 0.713

EMI ≈ 5,497.9 ÷ 0.713 ≈ 7,710 (approx.)

Your calculator will compute the precise value automatically and display it as the Monthly EMI.


What Happens Inside Each EMI Payment?

Each month:

  1. Interest is calculated on the remaining balance

  2. The rest of the EMI reduces the principal

Month 1 (Approximate Breakdown)

Balance at start: 500,000
Monthly rate: 0.0064167

Interest (Month 1) = 500,000 × 0.0064167 ≈ 3,208

If EMI ≈ 7,710:

Principal paid (Month 1) = 7,710 − 3,208 = 4,502

New balance ≈ 500,000 − 4,502 = 495,498


Month 2 (Why Interest Starts Dropping)

Interest is now based on the new balance:

Interest (Month 2) ≈ 495,498 × 0.0064167 ≈ 3,179

Interest is slightly lower, so principal paid is slightly higher. This effect grows every month.

That is why your chart shows the balance curve dropping slowly at first, then faster later.


What the “Live Balance Chart” Shows

The balance chart is a visual summary of amortization:

  • At the beginning, balance drops slowly (interest-heavy payments)

  • Later, balance drops faster (principal-heavy payments)

This is why “long tenure” loans can feel like they are not reducing the balance early on.


Common EMI Mistakes (That Cost People Money)

Many borrowers make decisions based only on EMI affordability. That is risky because a lower EMI often comes from a longer tenure, which can massively increase total interest paid.

Common mistakes include:

  • Extending the loan just to reduce EMI

  • Ignoring total interest and focusing only on monthly payment

  • Borrowing the maximum possible because EMI “looks affordable”

  • Not comparing fixed vs variable rate offers

Source:
https://www.consumerfinance.gov/ask-cfpb/what-is-amortization-en-191/


Practical Tips to Use This EMI Calculator Correctly

  • Use the real interest rate you are being offered, not an optimistic guess

  • Compare multiple tenures (e.g., 60 vs 84 months) and look at total interest

  • If you can afford it, shorter tenure usually saves large amounts of money

  • If the rate is variable, treat this EMI as an estimate only


Important Disclaimer

This calculator assumes:

  • Fixed interest rate

  • Monthly compounding

  • Fully amortized payments (balance reaches zero at month n)

Some real loans differ due to:

  • Variable rates

  • Balloon payments

  • Fees rolled into principal

  • Different compounding rules

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