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Payment Calculator Leasing and Financing

Monthly Payment Formula:

\[ P = \frac{(C - R) \times r}{1 - (1 + r)^{-n}} \]

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1. What is a Payment Calculator for Leasing and Financing?

Definition: This calculator determines the fixed monthly payment amount for a lease or loan based on capital cost, residual value, interest rate, and term length.

Purpose: It helps individuals and businesses estimate their monthly financial commitments for vehicle leases, equipment financing, or other capital purchases.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{(C - R) \times r}{1 - (1 + r)^{-n}} \]

Where:

Explanation: The formula calculates the fixed payment needed to amortize the net amount (capital minus residual) over the term at the given interest rate.

3. Importance of Payment Calculation

Details: Accurate payment calculations help with budgeting, comparing financing options, and understanding the true cost of leases or loans.

4. Using the Calculator

Tips: Enter the capital cost, residual value (if any), monthly interest rate (e.g., 0.01 for 1%), and term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual rate to monthly rate?
A: Divide the annual percentage rate (APR) by 12 (e.g., 12% APR = 0.12/12 = 0.01 monthly rate).

Q2: What is residual value in leasing?
A: It's the estimated value of the asset at lease end, which affects your monthly payments.

Q3: Can I use this for mortgages?
A: Yes, with residual value set to 0 (most mortgages have no residual).

Q4: Why is my payment higher than expected?
A: Check if you entered the rate as decimal (5% = 0.05) and that residual value is correct.

Q5: Does this include taxes or fees?
A: No, this calculates base payment only. Add taxes/fees separately.

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