How to Finance a Business

How to Finance a Business.

When it's time to finance a business, there can be substantial work involved to facilitate this step. Every small business is different, and businesses in different industries and sectors have different ways of going about getting credit. There are various costs which widely range over the span of particular sectors. However, for the core process of securing the financial assistance that a business owner needs for a start up, some basic guidelines and principles will help create effective programs and a solvent business model. Estimate the costs of doing business, find out what you need to borrow money, and then research your financing options.





Estimating Costs of Your Business.



Determine the one-time costs of your business. These are costs that will only occur at the very beginning of opening your business. These include mileage (getting to a location), market research, advertising, and training. You will also need to look up any fees which will occur, such as a lawyer or consultant fee.



Calculate the recurring costs of your business. These are costs that you will have to pay over and over again, usually on a weekly, bi-weekly, or monthly basis. These include costs of utilities, insurance, wages, etc. Recurring costs are generally larger than one-time costs, and span a length of 10-30 years depending on your financing options. Calculate not only the total cost over the lifespan of your business, but also that on a yearly, and bi-yearly basis.



Ascertain whether costs are fixed, or variable. Fixed costs are those which will not change. The cost of your utilities, or your administrative costs are all fixed. Variable costs are those which will change over time. This includes wages, insurance, and shipping/packaging costs. The best way to keep all this information organized is to create a spreadsheet (use Excel). That way you can graph out this information, and view it multiple ways(bar graph, line chart, etc.).



Create a balance sheet. If you are just starting a small business, it is important that you write out balance sheets, which include: assets, liabilities, and equity. Each of these three categories will help you keep track of the finances of your business, and make it easier to pay your bills.

Assets = current assets(cash, accounts receivable, notes receivable, inventory) + fixed assets(land, building, machinery, furniture, improvements) + intangibles(research, patents, charity, organizational expense)

Liabilities = current liabilities(accounts payable, accrued expenses, notes payable, current long-term debt) + non-current liabilities(non-current long-term debt, notes payable to shareholders and owners, contingent liabilities)

Equity = Assets - Liabilities



Develop a cash flow analysis. This measures money which goes in and out of your business. This is then broken down into operational activities, investment activities, and financing activities. This analysis will help you determine when you break even, and can start reinvesting/expanding your business. Once more, the best way to do this is to create a spread sheet. Find all of your financial statements and gather them together before you start to analyze.

Operational = net income, loses of business, sales, and business expenditures.

Investment = purchases and sales of property, assets, securities, and equipment.

Financing = cash flows of all your loan borrowing and repayment.







Borrowing Money for Your Business.



Use equity financing to start your business. Equity financing usually comes from a primary investor, or other business. They will provide you a sum of money, in exchange for part-ownership of your company. This is a good option because investors look further down the road than a loan company, and you will have more money on hand. However, the investors will naturally want to interfere, and change aspects of your business model.

There are networks online which can set you up with a primary investor.

You can also check out private equity firms, which contain a vast array of specialized and experienced investors.

Remember, that small business owners generally use very little equity financing. It all depends on your business model, and the potential for growth.



Start your business using debt financing. Debt financing is when you take out a loan, usually from a bank or lending institution. This is a great option because the bank will have no say in how you run your business. The loan is tax deductible, and you can get short-term or long-term loans. However, you must have the loan repaid in a certain amount of time, and if you don't, you could have a hard time getting capital investment.

Talk to your local bank, or lending institution about the qualifications for specific loans. You will probably have to fill out some paperwork to determine whether or not you are qualified.

When using a local bank, you may be able to set up a personal relationship. This way, you can postpone a few payments if you fall on hard times.



Find out about credit scores and ratings. The higher your score is, the less risky you are to investors. In many cases, the initial business loan will be based on the borrower's own personal credit score. However, in some cases where a business is already operational, a business plan and other documents can provide for a different kind of credit specifically for the continued operations of that enterprise.

Use the online company TransUnion or EquiFax to determine your credit score. It is important to get an independent analysis, otherwise your own calculated score could be biased.

The main focus of the score is how long you have maintained a credit line, and how many monthly payments you have made on time.

If you have no prior experience taking out credit, it may be hard to get a loan. It is best to start using a credit card on small things like gas, or grocery store trips. Then gradually build up. Show the creditors you are a responsible client.[12]



Maintain an adequate debt to equity ratio. You want to make sure that the total debt and liabilities of your business is no more than four times the equity in the business. Equity simply means any retained earnings and cash injections by investors. In order to start out with equity, the owner of the business usually has to put in anywhere from 20-40%. This will maintain an adequate debt to equity ratio, and allow you to get a loan.



Put up collateral to start your business. Before you get a loan, the lending institution or bank will ask for collateral. This means you risk some of the items you own. In the case you cannot repay the loan, the bank can seize your property. Collateral usually includes homes, cars, furniture, equipment, stocks, bonds, etc. this is a scary proposition, so you need to be sure that your business will be financially successful beforehand.



Shop around for different lenders. There are a variety of lenders who may or may not be willing to issue new business loans, and all of these potential lenders have their own terms and conditions. Talk to various lenders and ask them about what kinds of loans are available. Evaluate loans by timeline. Lenders will offer various short-term, long-term or revolving-credit loans to business owners. Look at which ones suit the needs of a startup the best.

Look at secured and unsecured business loans. Secured loans actually use existing assets as collateral. For example, the person trying to start a business can use his or her home, or other property, as collateral and get lower interest rates for the loan. However, this leaves the assets vulnerable to seizure in cases of nonpayment. Unsecured loans rest solely on the borrower's credit score. See which of these types of loans best matches desired risk.

Select the best deals. You want a loan that has the lowest interest rates and most favorable terms for repayment.









Financing Your Business.



Get a bank loan. Small, local banks have received more strict standards after the financial crash of 2008. However, large investment banks such as JP Morgan Chase and Bank of America have received a set of moneys from the Federal Reserve to lend out to small businesses. This is your best option to go with, although it takes the long to pay off. Local banks will set you up with a contract, and a monthly payment. The other benefit is that you can get this loan postponed if you are having trouble paying it off.



Place your home up as collateral. Banks will generally allow you to borrow up to 75-80% of your home's worth, as long as you have at least 10-15% already down on your home. This is great because the loan will have a much lower interest rate than a credit card. Talk with your financier, or local mortgage company for more detailed information.



Use your credit card. This is a very dangerous game to be played. You need to stay on top of your monthly payments. If you fall behind, you get trapped in a death spiral. However, when carefully managed, credit cards can be great to get out of an emergency. Only use a credit card occasionally, when you are experiencing a hole you know that you can get out of.



Tap into your 401(k) plan. You will need a financial expert who can start up a C Corporation which you can then roll your retirement assets into. This is also a risky business, because you are tapping into your nest egg. This should only be done if you have more money put away in a savings account, or if you are independently wealthy.



Try loaning money from your friends and family. Ask who would be willing to make a contribution, or purchase a percentage of the company. Go about asking members of your church for donations. Let local businesses to partner with you. You might make some acquaintances, and make some deals (you make cheese, they make wine, a chance to exchange).



Pledge your future earnings. Some companies, or peoples, are willing to gamble and put money upfront, if you are willing to commit a certain percentage of future profits. This is a gamble because they, and you, are betting that you will be able to earn enough in the future. There is usually a contract involved, guaranteeing that they will at least get some money back, so keep that in mind.



Kickstart your business. Crowd funding, in the age of the internet, has become a very popular way to finance businesses. Write a description of your business idea online, at sites like Kickstarter, and convince people to donate to your business. You will want to be really descriptive, and excited in your word choice. The downside of this is that it could take months or years before you raise enough money.



Secure an SBA loan. SBA (Small Business Administration) is a branch of the Federal Government that supplies loans to businesses struggling to get off the ground. However, there are a number of qualifications. You had to have been denied a loan from another bank before. You have to meet the government's definition of a small business. You will also have to meet other restrictions, depending on the type of SBA loan. Go to the SBA's website, and fill out a form if you think you might meet these qualifications.



Attract an angel investor. These are wealthy individuals who like to bet on the financial success of start-up businesses. Angel investors are usually found at private-equity, and venture capital firms. You will want to bring someone older, who looks like he has had experience in business before. Be passionate about your idea when you present, and know all of the financial details before you walk in the room. Keep in contact with the investor days and weeks after your initial meeting.





Tips.

Talk to numerous lending institutions before you pick a loan. Some will have better interest rates, while others will have better repayments.

Consult with family members first. Getting a small loan from them can avoid dealing with greedy credit lenders.

Get some experience in the business before you start your own. If you want to start a restaurant, make sure you have worked in a restaurant before. If not, you will wind up purchasing outside help which will cost you astronomical amounts of money.



Warnings.

Talk to a lawyer and a financial advisor to avoid colossal mistakes. The biggest regret of many first-time small business owners is not consulting with a professional before they begin the process.

If you are a person living paycheck-to-paycheck, it is best to wait to start a small business. If the business goes down hill quickly, you could lose your assets, and your life savings.

Take a year to save up money and make a detailed plan. You do not want to go into small business owning head first.

November 13, 2019

how to finance a business well

How to Finance a Business.

When it's time to finance a business, there can be substantial work involved to facilitate this step. Every small business is different, and businesses in different industries and sectors have different ways of going about getting credit. There are various costs which widely range over the span of particular sectors. However, for the core process of securing the financial assistance that a business owner needs for a start up, some basic guidelines and principles will help create effective programs and a solvent business model. Estimate the costs of doing business, find out what you need to borrow money, and then research your financing options.





Estimating Costs of Your Business.



Determine the one-time costs of your business. These are costs that will only occur at the very beginning of opening your business. These include mileage (getting to a location), market research, advertising, and training. You will also need to look up any fees which will occur, such as a lawyer or consultant fee.



Calculate the recurring costs of your business. These are costs that you will have to pay over and over again, usually on a weekly, bi-weekly, or monthly basis. These include costs of utilities, insurance, wages, etc. Recurring costs are generally larger than one-time costs, and span a length of 10-30 years depending on your financing options. Calculate not only the total cost over the lifespan of your business, but also that on a yearly, and bi-yearly basis.



Ascertain whether costs are fixed, or variable. Fixed costs are those which will not change. The cost of your utilities, or your administrative costs are all fixed. Variable costs are those which will change over time. This includes wages, insurance, and shipping/packaging costs. The best way to keep all this information organized is to create a spreadsheet (use Excel). That way you can graph out this information, and view it multiple ways(bar graph, line chart, etc.).



Create a balance sheet. If you are just starting a small business, it is important that you write out balance sheets, which include: assets, liabilities, and equity. Each of these three categories will help you keep track of the finances of your business, and make it easier to pay your bills.

Assets = current assets(cash, accounts receivable, notes receivable, inventory) + fixed assets(land, building, machinery, furniture, improvements) + intangibles(research, patents, charity, organizational expense)

Liabilities = current liabilities(accounts payable, accrued expenses, notes payable, current long-term debt) + non-current liabilities(non-current long-term debt, notes payable to shareholders and owners, contingent liabilities)

Equity = Assets - Liabilities



Develop a cash flow analysis. This measures money which goes in and out of your business. This is then broken down into operational activities, investment activities, and financing activities. This analysis will help you determine when you break even, and can start reinvesting/expanding your business. Once more, the best way to do this is to create a spread sheet. Find all of your financial statements and gather them together before you start to analyze.

Operational = net income, loses of business, sales, and business expenditures.

Investment = purchases and sales of property, assets, securities, and equipment.

Financing = cash flows of all your loan borrowing and repayment.







Borrowing Money for Your Business.



Use equity financing to start your business. Equity financing usually comes from a primary investor, or other business. They will provide you a sum of money, in exchange for part-ownership of your company. This is a good option because investors look further down the road than a loan company, and you will have more money on hand. However, the investors will naturally want to interfere, and change aspects of your business model.

There are networks online which can set you up with a primary investor.

You can also check out private equity firms, which contain a vast array of specialized and experienced investors.

Remember, that small business owners generally use very little equity financing. It all depends on your business model, and the potential for growth.



Start your business using debt financing. Debt financing is when you take out a loan, usually from a bank or lending institution. This is a great option because the bank will have no say in how you run your business. The loan is tax deductible, and you can get short-term or long-term loans. However, you must have the loan repaid in a certain amount of time, and if you don't, you could have a hard time getting capital investment.

Talk to your local bank, or lending institution about the qualifications for specific loans. You will probably have to fill out some paperwork to determine whether or not you are qualified.

When using a local bank, you may be able to set up a personal relationship. This way, you can postpone a few payments if you fall on hard times.



Find out about credit scores and ratings. The higher your score is, the less risky you are to investors. In many cases, the initial business loan will be based on the borrower's own personal credit score. However, in some cases where a business is already operational, a business plan and other documents can provide for a different kind of credit specifically for the continued operations of that enterprise.

Use the online company TransUnion or EquiFax to determine your credit score. It is important to get an independent analysis, otherwise your own calculated score could be biased.

The main focus of the score is how long you have maintained a credit line, and how many monthly payments you have made on time.

If you have no prior experience taking out credit, it may be hard to get a loan. It is best to start using a credit card on small things like gas, or grocery store trips. Then gradually build up. Show the creditors you are a responsible client.[12]



Maintain an adequate debt to equity ratio. You want to make sure that the total debt and liabilities of your business is no more than four times the equity in the business. Equity simply means any retained earnings and cash injections by investors. In order to start out with equity, the owner of the business usually has to put in anywhere from 20-40%. This will maintain an adequate debt to equity ratio, and allow you to get a loan.



Put up collateral to start your business. Before you get a loan, the lending institution or bank will ask for collateral. This means you risk some of the items you own. In the case you cannot repay the loan, the bank can seize your property. Collateral usually includes homes, cars, furniture, equipment, stocks, bonds, etc. this is a scary proposition, so you need to be sure that your business will be financially successful beforehand.



Shop around for different lenders. There are a variety of lenders who may or may not be willing to issue new business loans, and all of these potential lenders have their own terms and conditions. Talk to various lenders and ask them about what kinds of loans are available. Evaluate loans by timeline. Lenders will offer various short-term, long-term or revolving-credit loans to business owners. Look at which ones suit the needs of a startup the best.

Look at secured and unsecured business loans. Secured loans actually use existing assets as collateral. For example, the person trying to start a business can use his or her home, or other property, as collateral and get lower interest rates for the loan. However, this leaves the assets vulnerable to seizure in cases of nonpayment. Unsecured loans rest solely on the borrower's credit score. See which of these types of loans best matches desired risk.

Select the best deals. You want a loan that has the lowest interest rates and most favorable terms for repayment.









Financing Your Business.



Get a bank loan. Small, local banks have received more strict standards after the financial crash of 2008. However, large investment banks such as JP Morgan Chase and Bank of America have received a set of moneys from the Federal Reserve to lend out to small businesses. This is your best option to go with, although it takes the long to pay off. Local banks will set you up with a contract, and a monthly payment. The other benefit is that you can get this loan postponed if you are having trouble paying it off.



Place your home up as collateral. Banks will generally allow you to borrow up to 75-80% of your home's worth, as long as you have at least 10-15% already down on your home. This is great because the loan will have a much lower interest rate than a credit card. Talk with your financier, or local mortgage company for more detailed information.



Use your credit card. This is a very dangerous game to be played. You need to stay on top of your monthly payments. If you fall behind, you get trapped in a death spiral. However, when carefully managed, credit cards can be great to get out of an emergency. Only use a credit card occasionally, when you are experiencing a hole you know that you can get out of.



Tap into your 401(k) plan. You will need a financial expert who can start up a C Corporation which you can then roll your retirement assets into. This is also a risky business, because you are tapping into your nest egg. This should only be done if you have more money put away in a savings account, or if you are independently wealthy.



Try loaning money from your friends and family. Ask who would be willing to make a contribution, or purchase a percentage of the company. Go about asking members of your church for donations. Let local businesses to partner with you. You might make some acquaintances, and make some deals (you make cheese, they make wine, a chance to exchange).



Pledge your future earnings. Some companies, or peoples, are willing to gamble and put money upfront, if you are willing to commit a certain percentage of future profits. This is a gamble because they, and you, are betting that you will be able to earn enough in the future. There is usually a contract involved, guaranteeing that they will at least get some money back, so keep that in mind.



Kickstart your business. Crowd funding, in the age of the internet, has become a very popular way to finance businesses. Write a description of your business idea online, at sites like Kickstarter, and convince people to donate to your business. You will want to be really descriptive, and excited in your word choice. The downside of this is that it could take months or years before you raise enough money.



Secure an SBA loan. SBA (Small Business Administration) is a branch of the Federal Government that supplies loans to businesses struggling to get off the ground. However, there are a number of qualifications. You had to have been denied a loan from another bank before. You have to meet the government's definition of a small business. You will also have to meet other restrictions, depending on the type of SBA loan. Go to the SBA's website, and fill out a form if you think you might meet these qualifications.



Attract an angel investor. These are wealthy individuals who like to bet on the financial success of start-up businesses. Angel investors are usually found at private-equity, and venture capital firms. You will want to bring someone older, who looks like he has had experience in business before. Be passionate about your idea when you present, and know all of the financial details before you walk in the room. Keep in contact with the investor days and weeks after your initial meeting.





Tips.

Talk to numerous lending institutions before you pick a loan. Some will have better interest rates, while others will have better repayments.

Consult with family members first. Getting a small loan from them can avoid dealing with greedy credit lenders.

Get some experience in the business before you start your own. If you want to start a restaurant, make sure you have worked in a restaurant before. If not, you will wind up purchasing outside help which will cost you astronomical amounts of money.



Warnings.

Talk to a lawyer and a financial advisor to avoid colossal mistakes. The biggest regret of many first-time small business owners is not consulting with a professional before they begin the process.

If you are a person living paycheck-to-paycheck, it is best to wait to start a small business. If the business goes down hill quickly, you could lose your assets, and your life savings.

Take a year to save up money and make a detailed plan. You do not want to go into small business owning head first.

November 12, 2019

How to Calculate Compound Interest

How to Calculate Compound Interest.

Compound interest is distinct from simple interest in that interest is earned both on the original investment (the principal) and the interest accumulated so far, rather than simply on the principal. Because of this, accounts with compound interest grow faster than those with simple interest. Additionally, the value will grow even faster if the interest is compounded multiple times per year. Compound interest is offered on a variety of investment products and also charged on certain types of loans, like credit card debt. Calculating how much an amount will grow under compound interest is simple with the right equations.

Part 1 Finding Annual Compound Interest.
1. Define annual compounding. The interest rate stated on your investment prospectus or loan agreement is an annual rate. If your car loan, for example, is a 6% loan, you pay 6% interest each year. Compounding once at the end of the year is the easiest calculation for compounding interest.
A debt may compound interest annually, monthly or even daily.
The more frequently your debt compounds, the faster you will accumulate interest.
You can look at compound interest from the investor or the debtor’s point of view. Frequent compounding means that the investor’s interest earnings will increase at a faster rate. It also means that the debtor will owe more interest while the debt is outstanding.
For example, a savings account may be compounded annually, while a pay-day loan can be compounded monthly or even weekly.
2. Calculate interest compounding annually for year one. Assume that you own a $1,000, 6% savings bond issued by the US Treasury. Treasury savings bonds pay out interest each year based on their interest rate and current value.
Interest paid in year 1 would be $60 ($1,000 multiplied by 6% = $60).
To calculate interest for year 2, you need to add the original principal amount to all interest earned to date. In this case, the principal for year 2 would be ($1,000 + $60 = $1,060). The value of the bond is now $1,060 and the interest payment will be calculated from this value.
3. Compute interest compounding for later years. To see the bigger impact of compound interest, compute interest for later years. As you move from year to year, the principal amount continues to grow.
Multiply the year 2 principal amount by the bond’s interest rate. ($1,060 X 6% = $63.60). The interest earned is higher by $3.60 ($63.60 - $60.00). That’s because the principal amount increased from $1,000 to $1,060.
For year 3, the principal amount is ($1,060 + $63.60 = $1,123.60). The interest earned in year 3 is $67.42. That amount is added to the principal balance for the year 4 calculation.
The longer a debt is outstanding, the bigger the impact of compounding interest. Outstanding means that the debt is still owed by the debtor.
Without compounding, the year 2 interest would simply be ($1,000 X 6% = $60). In fact, every year’s interest earned would be $60 if you did earn compound interest. This is known as simple interest.
4. Create an excel document to compute compound interest. It can be handy to visualize compound interest by creating a simple model in excel that shows the growth of your investment. Start by opening a document and labeling the top cell in columns A, B, and C "Year," "Value," and "Interest Earned," respectively.
Enter the years (0-5) in cells A2 to A7.
Enter your principal in cell B2. For example, imagine you are started with $1,000. Input 1000.
In cell B3, type "=B2*1.06" and press enter. This means that your interest is being compounded annually at 6% (0.06). Click on the lower right corner of cell B3 and drag the formula down to cell B7. The numbers will fill in appropriately.
Place a 0 in cell C2. In cell C3, type "=B3-B$2" and press enter. This should give you the difference between the values in cell B3 and B2, which represents the interest earned. Click on the lower right corner of cell C3 and drag the formula down to cell C7. The values will fill themselves in.
Continue this process to replicate the process for as many years as you want to track. You can also easily change values for principal and interest rate by altering the formulas used and cell contents.

Part 2 Calculating Compound Interest on Investments.
1. Learn the compound interest formula. The compound interest formula solves for the future value of the investment after set number of years. The formula itself is as follows: {\displaystyle FV=P(1+{\frac {i}{c}})^{n*c}}FV=P(1+{\frac  {i}{c}})^{{n*c}} The variables within the equation are defined as follows:
"FV" is the future value. This is the result of the calculation.
"P" is your principal.
"i" represents the annual interest rate.
"c" represents the compounding frequency (how many times the interest compounds each year).
"n" represents the number of years being measured.
2. Gather variables the compound interest formula. If interest compounds more often than annually, it is difficult to calculate the formula manually. You can use a compound interest formula for any calculation. To use the formula, you need to gather the following information.
Identify the principal of the investment. This is the original amount of your investment. This could be how much you deposited into the account or the original cost of the bond. For example, imagine your principal in an investment account is $5,000.
Locate the interest rate for the debt. The interest rate should be an annual amount, stated as a percentage of the principal. For example, a 3.45% interest rate on the $5,000 principal value.
In the calculation, the interest rate will have to be input as decimal. Convert it by dividing the interest rate by 100. In this example, this would be 3.45%/100 = 0.0345.
You also need to know how often the debt compounds. Typically, interest compounds annually, monthly or daily. For example, imagine that it compounds monthly. This means your compounding frequency ("c") would be input as 12.
Determine the length of time you want to measure. This could be a goal year for growth, like 5 or 10 years, or this maturity of a bond. The maturity date of a bond is the date that the principal amount of the debt is to be repaid. For the example, we use 2 years, so input 2.
3. Use the formula. Input your variables in the right places. Check again to make sure that you are inputting them correctly. Specifically, make sure that your interest rate is in decimal form and that you have used the right number for "c" (compounding frequency).
The example investment would be input as follows: {\displaystyle FV=\$5000(1+{\frac {0.0345}{12}})^{2*12}}FV=\$5000(1+{\frac  {0.0345}{12}})^{{2*12}}
Compute the exponent portion and the portion of the formula in parenthesis separately. This is a math concept called order of operations. You can learn more about the concept using this link: Apply the Order of Operations.
4. Finish the math computations in the formula. Simplify the problem by solving for the parts of the equation in parenthesis first, beginning with the fraction.
Divide the fraction within parentheses first. The result should be: {\displaystyle FV=\$5000(1+0.00288)^{2*12}}FV=\$5000(1+0.00288)^{{2*12}}
Add the numbers within parentheses. The result should be: {\displaystyle FV=\$5000(1.00288)^{2*12}}FV=\$5000(1.00288)^{{2*12}}
Solve the multiplication within the exponent (the last part above the closing parenthesis). The result should look like this: {\displaystyle FV=\$5000(1.00288)^{24}}FV=\$5000(1.00288)^{{24}}
Raise the number within the parentheses to the power of the exponent. This can be done on a calculator by entering the value in parentheses (1.00288 in the example) first, pressing the {\displaystyle x^{y}}x^{y} button, then entering the exponent (24 in this case) and pressing enter. The result in the example is {\displaystyle FV=\$5000(1.0715)}FV=\$5000(1.0715)
Finally, multiply the principal by the number in parentheses. The result in the example is $5,000*1.0715, or $5,357.50. This is the value of the account at the end of the two years.
5. Subtract the principal from your answer. This will give you the amount of interest earned.
Subtract the principal of $5,000 from the future value of $5357.50 to get $5,375.50-$5,000, or $357.50
You will earn $357.50 in interest over the two years.

Part 3 Calculating Compound Interest With Regular Payments.
1. Learn the formula. Compounding interest accounts can increase even faster if you make regular contributions to them, such as adding a monthly amount to a savings account. The formula is longer than that used to calculate compound interest without regular payments, but follows the same principles. The formula is as follows: {\displaystyle FV=P(1+{\frac {i}{c}})^{n*c}+{\frac {R((1+{\frac {i}{c}})^{n*c}-1)}{\frac {i}{c}}}}FV=P(1+{\frac  {i}{c}})^{{n*c}}+{\frac  {R((1+{\frac  {i}{c}})^{{n*c}}-1)}{{\frac  {i}{c}}}}[7]The variables within the equation are also the same as the previous equation, with one addition.
"P" is the principal.
"i" is the annual interest rate.
"c" is the compounding frequency and represents how many times the interest is compounded each year.
"n" is the number of years.
"R" is the amount of the monthly contribution.
2. Compile the necessary variables. To compute the future value of this type of account, you will need the principal (or present value) of the account, the annual interest rate, the compounding frequency, the number of years being measured, and the amount of your monthly contribution. This information should be in your investment agreement.
Be sure to convert the annual interest rate into a decimal. Do this by dividing the rate by 100. For example, using the above 3.45% interest rate, we would divide 3.45 by 100 to get 0.0345.
For compounding frequency, simply use the number of times per year that the interest compounds. This means annually is 1, monthly is 12, and daily is 365 (don't worry about leap years).
3. Input your variables. Continuing with the example from above, imagine that you decide to also contribute $100 per month to your account. This account, with a principal value of $5,000, compounds monthly and earns 3.45% annual interest. We will measure the growth of the account over two years.
The completed formula using this information is as follows: {\displaystyle FV=\$5,000(1+{\frac {0.0345}{12}})^{2*12}+{\frac {\$100((1+{\frac {0.0345}{12}})^{2*12}-1)}{\frac {0.0345}{12}}}}FV=\$5,000(1+{\frac  {0.0345}{12}})^{{2*12}}+{\frac  {\$100((1+{\frac  {0.0345}{12}})^{{2*12}}-1)}{{\frac  {0.0345}{12}}}}
4. Solve the equation. Again, remember to use the proper order of operations to do so. This means that you start by calculating the values inside of parentheses.
Solve for the fractions with parentheses first. This means dividing "i" by "c" in three places, all for the same result of 0.00288. The equation now looks like this: {\displaystyle FV=\$5,000(1+0.00288)^{2*12}+{\frac {\$100((1+0.00288)^{2*12}-1)}{0.00288}}}FV=\$5,000(1+0.00288)^{{2*12}}+{\frac  {\$100((1+0.00288)^{{2*12}}-1)}{0.00288}}
Solve the addition within the parentheses. This means adding the 1 to the result from the last part. This gives: {\displaystyle FV=\$5,000(1.00288)^{2*12}+{\frac {\$100((1.00288)^{2*12}-1)}{0.00288}}}FV=\$5,000(1.00288)^{{2*12}}+{\frac  {\$100((1.00288)^{{2*12}}-1)}{0.00288}}
Solve the multiplication within the exponents. This means multiplying the two numbers that are smaller and above the closing parentheses. In the example, this is 2*12 for a result of 24. This gives: {\displaystyle FV=\$5,000(1.00288)^{24}+{\frac {\$100((1.00288)^{24}-1)}{0.00288}}}FV=\$5,000(1.00288)^{{24}}+{\frac  {\$100((1.00288)^{{24}}-1)}{0.00288}}
Solve the exponents. This means raising the amount within parentheses to the result of the last step. On a calculator, this is done by entering the value in parentheses (1.00288 in the example), pressing the {\displaystyle x^{y}}x^{y} key, and then entering the exponent value (which is 24 here). This gives: {\displaystyle FV=\$5,000(1.0715)+{\frac {\$100(1.0715-1)}{0.00288}}}FV=\$5,000(1.0715)+{\frac  {\$100(1.0715-1)}{0.00288}}
Subtract. Subtract the one from the result of the last step in the right part of the equation (here 1.0715 minus 1). This gives: {\displaystyle FV=\$5,000(1.0715)+{\frac {\$100(0.0715)}{0.00288}}}FV=\$5,000(1.0715)+{\frac  {\$100(0.0715)}{0.00288}}
Multiply. This means multiplying the principal by the number is the first set of parentheses and the monthly contribution by the same number in parentheses. This gives: {\displaystyle FV=\$5,357.50+{\frac {\$7.15}{0.00288}}}FV=\$5,357.50+{\frac  {\$7.15}{0.00288}}
Divide the fraction. This gives {\displaystyle FV=\$5,357.50+\$2,482.64}FV=\$5,357.50+\$2,482.64
Add. Finally, add the two number to get the future value of the account. This gives $5,357.50 + $2,482.64, or $7,840.14. This is the value of the account after the two years.
5. Subtract the principal and payments. To find the interest earned, you have to subtract the amount of money you put into the account. This means adding the principal, $5,000, to the total value of contributions made, which is 24 contributions (2 years* 12 months/year) times the $100 you put in each month for a total of $2,400. The total is $5,000 plus $2,400, or $7,400. Subtracting $7,400 from the future value of $7,840.14, you get the amount of interest earned, which is $440.14.
6. Extend your calculation. To really see the benefit of compound interest, imagine that you continue adding money monthly to the same account for twenty years instead of two. In this case, your future value would be about $45,000, even though you will have only contributed $29,000, meaning that you will have earned $16,000 in interest.

FAQ.
Question : What does "to the power of" mean?
Answer : "To the power of" refers to a particular numerical exponent. It is a multiplication in which a number appears as a factor that many times. For example, 2 to the power of 1 equals 2. 2 to the power of 2 equals 2x2, or 4, and 2 to the power of 3 is 2 x 2 x 2, or 8.
Question : How do I find the compound interest on a 29,870 loan at 6% interest?
Answer : First take out the amount by the formulae: principle(1+ r/100) to the power n (number of years), then take out the ci by subtracting the principle from the amount.
Question : What do I type on a calculator to find compound interest?
Answer : Compound interest can be calculated in several ways. The most common is to say that A=Pe^(rt) where P is the initial amount, "e" is a constant around 2.71, "r" is the interest rate (i.e. 7% would be entered in as 0.07), "t" is the duration in which the interest is being calculated in years and "A" is the final amount.
Question : How do I know if it's better to owe interest on something or to pay a lump sum at no interest?
Answer : Cost/value analysis. Calculate the total you'll pay under both methods and find the difference. Then compare that difference to the value of buying now (with a loan) versus later (lump sum).
Question : How do I find the future value and the compound interest if £4000 is invested for 5 years at 42% p.a?
Answer : Principal=$4000, n=5, R=42%,0.42. The formula: FV=PV(1+r)r aise power n and substitute the value.
Question : How do I calculate principal in compound interest?
Answer : Principal = fv = p(1 + i/c)ⁿc. Formula for principal in compound interest (1 + R/100), where R = rate.

Tips.

You can also calculate compound interest easily using an online compound interest calculator. The US Government hosts a good one at https://www.investor.gov/tools/calculators/compound-interest-calculator.
A quick rule of thumb to find compound interest is the "rule of 72." Start by dividing 72 by the amount of the interest your are earning, for example 4%. In this case, this would be 72/4, or 18. This result, 18, is roughly the number of years it will take for your investment to double at the current interest rate. Keep in mind that the rule of 72 is just a quick approximation, not an exact result.[8]
You can also use these calculations to perform "what-if" calculations that can tell you how much you will earn with a given interest rate, principal, compounding frequency, or number of years.

April 09, 2020