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This article was co-written by Jill Newman, CPA. Jill Newman is a Certified Public Accountant (CPA) in Ohio with over 20 years of accounting experience. She received her CPA from the Ohio Board of Accountants in 1994 and holds a Bachelor of Business Administration/Accounting degree.
There are 7 references cited in this article that you can view at the bottom of the page.
This article has been viewed 22,577 times.
Loans are not always the same. So knowing how to calculate a monthly liability as well as the interest due is very helpful in choosing a loan that is right for you. To understand exactly how to calculate it, you may have to study complex formulas, but it can also be simpler using Excel.
Steps
Quick Learn about Loans
- Principal debt: The value of the loan. If the loan is $5,000, the principal will be $5,000.
- Interest Rate: Simply a percentage of the amount you have to pay to get a loan. The interest rate can be specified as a percentage (such as 4%) or as a decimal (0.04).
- Term: Usually calculated on a monthly basis, it’s the period you have to repay the loan. For mortgages, the term is in years.
- Mode of payment: Mostly “fixed term loans.” However, this method may be different for special loans. If you are unsure ask if interest and payment terms are fixed before taking out a loan. [1] X Research Source
- Car loan: 4-7% [3] X Research source
- Home loan: 3-6%
- Personal loan: 5-9%
- Credit cards: 18-22%. That’s why you should avoid buying something big that can’t immediately pay off your credit card debt.
- Borrowing by day (hot loan): 350-500%. This type of loan is very dangerous if you cannot repay within 1-2 weeks. [4] X Research Sources
- By year: 110,412.17 USD
- By month: 110,512.24 USD
- By day: 110,521.28 USD
- 24-month term: You have to pay a total interest of 1,058.27 USD, but each month only pay both principal and interest is 877.43 USD.
- 30-month term: You pay a total interest of $1,317.63, but only pay both principal and interest of $710.59 monthly.
- 36-month term: You have to pay a total interest of 1,579.02 USD, while the principal and interest to be paid each month is only 599.42 USD. [8] X Research Sources
Mentally Calculate the Payment
- “i” is the interest rate, “n” is the number of payments.
- Like most financial equations, the formula for calculating recurring liabilities is much more complicated than simple calculations. Once you understand the principle of the numbers, you will find it very easy to calculate recurring liabilities.
- For example, let’s say you take out a loan with an interest rate of 4.5% per year, paying it off monthly.
- Since you have to make monthly payments, you divide the interest rate by 12. 4.5% (0.045) divided by 12 equals 0.00375. Insert the result into “i”. [10] X Research Source
- Let’s say you have to make monthly payments on a 30-year loan. To find the number of repayments, multiply 30 by 12. You’ll get 360. [11] X Research Source
- Continuing with the example above, let’s say you borrow $100,000. The equation will be as follows: 100,000 won∗0,00375(first+0,00375)360(first+0,00375)360−first{displaystyle 100,000*{frac {0.00375(1+0.00375)^{3}60}{(1+0.00375)^{3}60-1}}}
- 100,000 won∗0,00375(first,00375)360(first+0,00375)3600−first{displaystyle 100,000*{frac {0.00375(1.00375)^{3}60}{(1+0.00375)^{3}600-1}}}
- 100,000 won∗0,00375(3,84769….)(first+0,00375)360−first{displaystyle 100,000*{frac {0.00375(3.84769….)}{(1+0.00375)^{3}60-1}}}
- 100,000 won∗0,01442…..(first+0,00375)360−first{displaystyle 100,000*{frac {0.01442…..}{(1+0.00375)^{3}60-1}}}
- 100,000 won∗0,01442…..(first,00375)360−first{displaystyle 100,000*{frac {0.01442…..}{(1.00375)^{3}60-1}}}
- 100,000 won∗0,01442…..3,84769…..−first{displaystyle 100,000*{frac {0.01442…..}{3,84769…..-1}}}
- 100,000 won∗0,01442…..2,84769…..{displaystyle 100,000*{frac {0.01442…..}{2,84769…..}}}
- 100,000 won∗0,00506685…..=506,69{displaystyle 100,000*0.00506685…..=506.69}
- 506.69 USD. This is the debt you have to pay every month.
- Using the example above, multiplying 360 by 506.69 USD gives us 182,408 USD . This is the total amount you have to pay over the life of the loan.
- Subtract $100,000 and the result is $82,408 . It is the total interest you pay at the end of the loan term.
Calculate Interest in Excel
- You borrow $ 100,000 to buy a house with an interest rate of 4.5%/year, a term of 30 years.
- -100,000 = Principal debt
- -100,000 = Principal debt
- 360 = Number of repayments
- -100,000 = Principal debt
- 360 = Number of repayments
- 4,5%twelfth=0,375%={displaystyle {frac {4.5%}{12}}=0.375%=} 0,00375{displaystyle 0.00375} = Interest payable monthly.
- Do not enter quotation marks.
- If you are good at Excel, you can create an Excel formula to calculate the amount of a liability.
- With the above example, the full data is: “=PMT(0.00375,360,-100000,0)”
- The last number in the sequence is 0. A zero means the ending balance (360 repayments) will be $0.
- Remember to close the parenthesis.
- In this case, the result will be 506.69 USD . That is your monthly debt.
- If you see the error “#NUM!” or another result does not make sense, indicating that you entered the wrong data. Check the formula on the function bar again and try again.
- In the example above, you multiply 506.69 USD by 360 to get 182,408 USD . This is the total amount to be paid at the end of the loan period.
- In this example, you subtract $182,408 from $100,000. The result is 82,408 USD . That is the total interest payable on the loan.
Make a Sample Spreadsheet to Calculate Loan Interest
The table below shows how to calculate interest using Excel, Google Docs, or similar spreadsheet programs. Just enter the number. Notice that when you see the formula Fx={displaystyle Fx=} , you must enter data into the formula on the function bar “Fx”. The numbers (A2, C1, etc.) correspond to labeled cells in Excel and Google Docs.
A | REMOVE | OLD | EASY | |
---|---|---|---|---|
first | [Original debt] | [Number of repayments] | [Interest rate] | [Interest/month] |
2 | Negative loan (-100000) | Total number of monthly payments. (360) | Interest rate, expressed in decimal. (0.05) | Interest rate/month (divide the interest rate/year by 12) |
3 | Debt/month | FX=PMT(D2,B2,A2,0). NOTE: The last number is 0. | ||
4 | Total loan amount | FX=PRODUCT(D3,B2) | ||
5 | Interest | FX=SUM(D4,A2) |
Advice
- Understanding how loans are calculated will give you the tools to eliminate bad loans.
- If you have intermittent sources of income and are looking at a loan with a very low interest rate but low recurring debt with a lower frequency of payments, then you should choose a loan with a longer loan term, even if the total amount is low. larger loan interest.
- If you have more savings than you need and want to find the lowest interest rate loan to meet your needs, then a loan with a short term, high recurring repayments and less interest will be right for you. .
Warning
- There are times when the lowest interest rates do not mean the lowest borrowing costs. If you have a thorough understanding of how interest is calculated, you can quickly calculate the true “cost” of a loan compared to the price it pays to get some of the benefits of that loan.
This article was co-written by Jill Newman, CPA. Jill Newman is a Certified Public Accountant (CPA) in Ohio with over 20 years of accounting experience. She received her CPA from the Ohio Board of Accountants in 1994 and holds a Bachelor of Business Administration/Accounting degree.
There are 7 references cited in this article that you can view at the bottom of the page.
This article has been viewed 22,577 times.
Loans are not always the same. So knowing how to calculate a monthly liability as well as the interest due is very helpful in choosing a loan that is right for you. To understand exactly how to calculate it, you may have to study complex formulas, but it can also be simpler using Excel.
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