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Financial

Kreditrechner

[DE] Calculate amortized loans, deferred payment loans, and bonds.

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The Math Behind It

These financial calculations are based on the standard monthly payment formula for amortizing loans:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]
  • M = the expected monthly payment
  • P = the principal amount (initial loan)
  • i = your monthly interest rate (annual rate divided by 12)
  • n = number of payments (months)
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[DE] Traducción de la página: Kreditrechner

A loan is a contract between a borrower and a lender in which the borrower receives an amount of money (principal) that they are obligated to pay back in the future. Most loans can be categorized into one of three categories:

  1. Amortized Loan: Fixed payments paid periodically until loan maturity.
  2. Deferred Payment Loan: Single lump sum paid at loan maturity.
  3. Bond: Predetermined lump sum paid at loan maturity (the face or par value of a bond)

Amortized Loan: Fixed Amount Paid Periodically

Many consumer loans fall into this category of loans that have regular payments that are amortized uniformly over their lifetime. Routine payments are made on principal and interest until the loan reaches maturity (is entirely paid off). Some of the most familiar amortized loans include mortgages, car loans, student loans, and personal loans. The word loan will probably refer to this type in everyday conversation.

Below are links to calculators related to loans that fall under this category, which can provide more information or allow specific calculations involving each type of loan. Instead of using this Loan Calculator, it may be more useful to use any of the following for each specific need:

  • Mortgage Calculator
  • Auto Loan Calculator
  • Student Loan Calculator
  • Personal Loan Calculator

Deferred Payment Loan: Single Lump Sum Due at Loan Maturity

Many commercial loans or short-term loans are in this category. Unlike the first calculation, which is amortized with payments spread uniformly over their lifetimes, these loans have a single, large lump sum due at maturity. Some loans, such as balloon loans, can also have smaller routine payments during their lifetimes, but this calculation only works for loans with a single payment of all principal and interest due at maturity.

Bond: Predetermined Lump Sum Paid at Loan Maturity

This kind of loan is rarely made except in the form of bonds. Technically, bonds operate differently from more conventional loans in that borrowers make a predetermined payment at maturity. The face, or par value of a bond, is the amount paid by the issuer (borrower) when the bond matures, assuming the borrower doesnt default. Face value denotes the amount received at maturity.

Loan Basics for Borrowers

Interest Rate Nearly all loan structures include interest, which is the profit that banks or lenders make on loans. Interest rate is the percentage of a loan paid by borrowers to lenders. For most loans, interest is paid in addition to principal repayment. Loan interest is usually expressed in APR, or annual percentage rate, which includes both interest and fees.

Compounding Frequency Compound interest is interest that is earned not only on the initial principal but also on accumulated interest from previous periods. Generally, the more frequently compounding occurs, the higher the total amount due on the loan. In most loans, compounding occurs monthly.

Loan Term A loan term is the duration of the loan, given that required minimum payments are made each month. The term of the loan can affect the structure of the loan in many ways. Generally, the longer the term, the more interest will be accrued over time, raising the total cost of the loan for borrowers, but reducing the periodic payments.

Frequently Asked Questions

What is a Kreditrechner?

A Kreditrechner is a specialized mathematical tool that allows you to calculate and estimate relevant values based on your inputs. It's completely free to use online.

How do I use this Kreditrechner?

Simply enter your required information into the fields above and the results will automatically calculate and update on your screen.

Is my data safe when using this Kreditrechner?

Yes, protecting your privacy is our priority. All calculations performed by this Kreditrechner happen locally in your browser. We never store or transmit your personal input data to any servers.

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