分步说明
Gather Your Inputs
First, identify the principal loan amount (P), the annual interest rate, and the loan term in years. For example, let's say you have a $200,000 mortgage with an annual interest rate of 4% and a loan term of 30 years.
Convert the Annual Interest Rate to a Monthly Rate
Next, convert the annual interest rate to a monthly rate by dividing by 12. Using the example above, the monthly interest rate would be 4%/12 = 0.003333.
Calculate the Number of Payments
Then, calculate the number of payments by multiplying the loan term in years by 12. Using the example above, the number of payments would be 30 years \* 12 = 360 payments.
Apply the Formula
Now, plug in the values into the formula: M = 200,000 [ 0.003333(1 + 0.003333)^360 ] / [ (1 + 0.003333)^360 – 1]. This will give you the monthly payment amount.
Create an Amortization Table
Finally, create an amortization table to see how the loan balance decreases over time. The table should include the payment number, payment amount, interest paid, principal paid, and the outstanding balance.
Using a Financial Calculator for Convenience
While calculating loan payments and amortization by hand can be beneficial, it can also be time-consuming. For convenience, you can use a financial calculator to instantly generate the results, including an amortization table and chart.
Introduction to Loan Payments and Amortization
Loan payments and amortization can be complex topics, but understanding how to calculate them manually can be beneficial for making informed financial decisions. In this guide, we will walk you through the steps to calculate loan payments and amortization by hand.
Understanding the Formula
The formula for calculating loan payments is: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1] Where: M = monthly payment P = principal loan amount i = monthly interest rate n = number of payments
Step-by-Step Calculation
To calculate loan payments and amortization, follow these steps: