Return on Investment | Formula, Calculation & Analysis - Lesson | Study.com (2024)

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Jeremy Cook, Shawn Grimsley
  • AuthorJeremy Cook

    Jeremy taught elementary school for 18 years in in the United States and in Switzerland. He has a Masters in Education from Rollins College in Winter Park, Florida. He's taught grades 2, 3, 4, 5 and 8. His strength is in educational content writing and technology in the classroom

  • InstructorShawn Grimsley

    Shawn has a masters of public administration, JD, and a BA in political science.

Find out how to calculate the return on investment. View the return on investment formula applied to real-world examples and explore how to analyze ROI.Updated: 11/21/2023

Table of Contents

  • What is Return on Return on Investment
  • Return on Investment Formula
  • Alternative Methods to Calculate ROI
  • Limitations of Calculating ROI
  • Return on Investment Analysis
  • Lesson Summary
Show

Table of Contents

  • What is Return on Return on Investment
  • Return on Investment Formula
  • Alternative Methods to Calculate ROI
  • Limitations of Calculating ROI
  • Return on Investment Analysis
  • Lesson Summary
Show

Return on investment, also known as ROI, is a ratio of either a financial profit or loss. The ratio is expressed in terms of an investment where the increase or decrease of value is shown as a percentage. The ratio is commonly used to determine the probability of making a profit or incurring a loss on a particular investment. ROI can be used by a range of invested parties from large corporations to individual taxpayers. There is no minimum or maximum investment needed to use ROI.

  • Example of ROI - Let's say that a person bought a house that needed significant work for $100,000. During the course of a year, they invested an additional $100,000 to renovate the house to make it sellable. They are able to sell the renovated house for $250,000. In this example, the ROI would be 25% assuming that the investor spent no additional money.

Using ROI can help an investor to decide if flipping a house would be a good investment.

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Differentiating Return on Investment (ROI), Rate of Return (ROR), & Profit

There are a few different ways to calculate the success or failure of an investment. Each calculation method uses a slightly different approach to how an investment is calculated. The table below provides an example of each method.

Investment Calculation Method Description Formula Example
Return on Investment ROI gives the investor simple knowledge on how much money will be made for every dollar they spend on inventory Net Profit/Total Investment If an investment has an ROI of 10%, the investment will return $1.10 for every $1 spent
Rate of Return (ROR) ROR looks at the investment over a period of time and calculates it based on the initial cost versus what the current value is. Current Value-Initial Value/Initial Value X 100 Stock is purchased for $1,000. After six months, the stock is worth $1,200. The ROR would be 20%.
Profit Margin Profit Margin, unlike ROI, is based on the total price that the investment was sold at. It can never be greater than 100% Profit (revenue - costs) / Revenue A piece of antique furniture is bought for $100 and costs $50 to restore. The piece was then sold for $400; the profit margin would be 62.5%

Where Can the Average Return on Investment Apply?

  • ROI can help investors decide whether an investment has the potential to be profitable. It can also be a tool that helps to compare returns from the past. If an investor is interested in investing in a particular mutual fund, the ROI can go back many years and give a clearer picture of the long-term success of the investment. Since ROI can change over time, it can also help in understanding major disruptions to the investment. A positive ROI percentage would indicate a potential buy, while a negative ROI would indicate a need to sell or stay away from the particular investment.
  • ROI is used to compare high and low-performing investments. This helps everyone from financial planners to fund managers choose the best investments.

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  • 0:02 ROI Defined
  • 0:27 Basic ROI Formula & Example
  • 1:54 Formula for Shareholders
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  • Net Return on Investment/Initial Cost of Investment X 100
  • If the percentage that comes out of the ROI formula is a positive number, the investment has gained value. If the value is negative, the investment is a loss.

How to Calculate Return on Investment

It's important to understand the different values of the ROI formula in order to accurately calculate the ROI and interpret the results correctly.

  • In the traditional formula, the net return on investment is how much profit the investment made based on the initial value. If the investment was a house, the net return on investment would be the amount made on the house after the initial investment was deducted. The initial cost of investment is how much it cost to buy into the investment.

The formula for the house investment would look like this:

$50,000/$100,000 X 100 = 50

The initial investment is misleading and can be a manipulated number. In the example of the house, the initial cost was $100,000 for the house, but the investor had to add an additional $100,000 for renovations.

How to Calculate ROI for Specific Expenses

The traditional ROI formula is simplistic and can often be misleading because it can leave out expenses that come after the initial purchase. There is a slightly more complex ROI formula that takes into account the expenses that the investor incurred after they spent the initial money for the investment. Depending on the investment, expenses can include any cost such as materials, labor, fees, salaries, and taxes. The expanded ROI formula looks like this:

(Final Value of Investment-Initial Value Investment)/Total Cost of Investment X 100

In the example of the traditional formula, the $100,000 that was spent to renovate the house would be added to the formula and would change the ROI from a 50% return to a 25% return.

With the addition of the total cost of investment, the formula takes into account all the expenses associated with the investment along with the initial cost. This formula gives a clearer picture of how much total money was spent. Let's assume that an investor bought a share of stock for a total of $100 and sold it for $150. Traditional ROI would calculate the investment return as 50%. But if the investor had to pay a commission of $5 to trade the stock, the ROI would actually be 45%. The above formula would reflect the 45% and not the 50% of the traditional ROI.

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There is another formula that can be used as an alternative to the traditional ROI calculator. The method involves taking into account periods of time. The traditional ROI and the ROI that takes into account expenses do not reflect any periods of time.

Annualized ROI

Traditional ROI doesn't take into account periods of time. This means that an investor who made a 20% ROI over the course of three years would have the same percentage as the person who made the same amount in three months' time. The percentage is the same, but the person who made the 20% in 3 months clearly had a better investment.

The annualized ROI formula adds in values for time periods, which can provide deeper insight into the value of an investment.

Annualized ROI Formula:

= (Ending Value / Beginning Value) ^ (1 / # of Years) - 1

The # symbol means the number of years, which is calculated by subtracting the start date from the end date and dividing the results by 365. (Ending date - Starting Date) / 365

Annualized ROI is most applicable for investing in financial products like stocks, mutual funds, and bonds. Let's assume that a person buys a stock on January 1st for $12.50 and turns around to sell it for $15.20 on August 24th. The ROI will look very different when the annualized rate of return is used. The two formulas below show the calculations using normal ROI and annualized ROI.

  • Regular ROI = ($15.20 - $12.50) / $12.50 = 21.6%
  • Annualized ROI= ($15.20 / $12.50) ^ (1 / ((Aug 24 - Jan 1)/365) )-1=35.5%

The annualized ROI shows a much higher percentage due to the time period that was inserted. The larger the value of the period of time, the lower the ROI. There will be a point in time when the annualized ROI will drop below the regular ROI.

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There are two major limitations of the traditional ROI formula and each limitation has a different effect on the way the ROI is viewed and evaluated.

  • Traditional ROI doesn't take time into account - The annualized ROI is a way to fix the limitation of ROI, but when traditional ROI is used, it becomes a major limitation. Without taking time into account, ROI can be misleading. If an investor buys a stock for $10 per share and sells it 10 years later at $20 per share, the ROI would be 100%. But that's over 10 years. If the same stock was bought and sold for 100% ROI in 3 days, it would be a much better return.
  • Traditional ROI can be misleading - Since the traditional formula is simple and only takes initial cost and net return into account, it's easy to exclude expenses. Consider the example of a person buying a house for $100,000 and spending $100,000 to renovate the house. If the house sold for $250,000 the return on investment would be 50% according to traditional ROI. But the investor also paid $100,000 to renovate and most likely would have to pay a realtor fee for the sale of the house. If that fee was 5%, along with the $100,000 invested for renovation, the return would be dramatically lower. Someone could leave out the fee and the renovation expenses from the traditional ROI because it technically doesn't take into account the expenses and fees since they were not part of the initial investment.

The traditional ROI formula can be manipulated by excluding expenses incurred after the investment.

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ROI analysis is the basic understanding of the numbers that the ROI formulas produce and being able to interpret them in comparison to other investments. There are two basic means of ROI analysis.

  • The first analysis compares ROI with a common financial element. If two companies exist in the same market, you can compare their ROIs to get an idea of which company is more profitable and therefore would be a better financial investment.
  • The second way to analyze ROI is to break down the ROI into separate parts and look at each individually. This is a more complex method, but it often results in a more complete analysis. There are two parts of ROI called asset turnover and profit margin. Asset turnover is the ratio of total revenue to total assets. Profit margin is the ratio of a company's profit, which is revenue minus expenses, and total expenses.

When potential investors use the second method, they are able to get a much clearer financial image of a company, especially with regards to assets and expenses.

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Return on investment or ROI is a formula used to calculate the potential profit or loss of a particular financial investment or institution. Traditional ROI is calculated with a simple formula of:

  • Net Profit/Initial Investment X 100

The outcome will be a percentage that can be used to determine how profitable something is. ROI can be used to determine the investment potential of a stock, a potential business investment, or any other type of financial undertaking. There are three different formulas to calculate ROI and each one takes into account different elements.

ROI Formula Attribute
Net Profit/Initial Investment X 100 This traditional ROI only takes into account the initial cost of the investment compared to the return.
(Final Value of Investment-Initial Value Investment)/Total Cost of Investment X 100 This ROI takes into account any expenses that occur after the initial investment
(Ending Value / Beginning Value) ^ (1 / # of Years) - 1 Called annualized ROI, it takes into account time periods between the initial investment and the sale of the investment.

ROI can be a useful financial tool for determining if an investment will be profitable. It also has some limitations:

  • ROI can be too simplistic; unless the annualized formula is used, it can be deceiving because it lacks periods of time.
  • ROI can be manipulated by people presenting the information because it can be calculated without including expenses incurred after the initial investment.

The process of understanding ROI and looking at the ratios in depth is called ROI analysis and is a crucial part of using ROI for financial education and potential gain.

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Video Transcript

ROI Defined

Return on investment (ROI) is the ratio of a profit or loss made in a fiscal year expressed in terms of an investment. It is expressed in terms of a percentage of increase or decrease in the value of the investment during the year in question. For example, if you invested $100 in a share of stock and its value rises to $110 by the end of the fiscal year, the return on the investment is a healthy 10%, assuming no dividends were paid.

Basic ROI Formula and Example

The basic ROI formula is: Net Profit / Total Investment * 100 = ROI. Let's apply the formula with the help of an example.

You are a house flipper. You purchased a house at the courthouse auction for $75,000 and spent $35,000 in renovations. After sales, expenses, and commission, you netted $160,000 on the sale of the renovated house. What is the ROI?

Your net profit is going to be what you netted ($160,000) minus what you spent ($75,000 + $35,000), so it is $50,000. Your total investment is also what you spent ($75,000 + $35,000), which is $110,000.

ROI = Net Profit / Total Investment * 100

ROI = 50,000 / 110,000 * 100

ROI = .45 * 100

ROI = 45%

If only house flipping was that easy. Keep in mind that you can certainly lose money on an investment. If there is a loss, the formula will yield a negative number. Here's a simple example:

ROI = -1,000 / 5,000 * 100

ROI = -0.2 * 100

ROI = -20%

Shareholders can calculate the value of their stock investment in a particular company by use of this formula: ROI = (Net income + (Current Value - Original Value)) / Original Value * 100.

Let's say you have stock in a tech company. You originally purchased the shares for $5,000 and they're now worth $5,200. You've also been paid $75 in dividends. What is your ROI for this stock holding?

ROI = (Net Income + (Current Value - Original Value)) / Original Value * 100

ROI = (75 + (5,200 - 5,000)) / 5,000 * 100

ROI = (75 + 200) / 5,000 * 100

ROI = 275 / 5,000 * 100

ROI = .055 * 100

ROI = 5.5%

Lesson Summary

Return on investment, or ROI, is the ratio of a profit or loss made in a fiscal year expressed in terms of an investment and shown as a percentage of increase or decrease in the value of the investment during the year in question. The basic formula for ROI is: ROI = Net Profit / Total Investment * 100. Keep in mind that if you have a net loss on your investment, the ROI will be negative. Shareholders can evaluate the ROI of their stock holding by using this formula: ROI = (Net Income + (Current Value - Original Value)) / Original Value * 100.

ROI Notes

Return on Investment | Formula, Calculation & Analysis - Lesson | Study.com (9)

  • ROI is 'return on investment', the ratio of profit or loss made in a fiscal year
  • Basic ROI can be calculated as ROI = Net Profit / Total Investment * 100
  • A shareholder can evaluate the ROI of their stock as ROI = (Net Income + (Current Value - Original Value)) / Original Value * 100

Learning Outcomes

When you are finished, you should be able to:

  • Define 'return on investment'
  • State the equations used to calculate basic ROI and shareholder ROI
  • Use the formulas to calculate ROI

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Return on Investment | Formula, Calculation & Analysis - Lesson | Study.com (2024)

FAQs

What is the answer to return on investment? ›

Return on investment (ROI) is calculated by dividing the profit earned on an investment by the cost of that investment. For instance, an investment with a profit of $100 and a cost of $100 would have an ROI of 1, or 100% when expressed as a percentage.

What is the math return on investment answer? ›

Shareholders can calculate the value of their stock investment in a particular company by use of this formula: ROI = (Net income + (Current Value - Original Value)) / Original Value * 100.

How do you solve return on investment problems? ›

ROI is calculated by subtracting the initial cost of the investment from its final value, then dividing this new number by the cost of the investment, and finally, multiplying it by 100. ROI has a wide range of uses.

What does a return on investment calculation tell you? ›

ROI is generally defined as the ratio of net profit over the total cost of the investment. ROI is most useful to your business goals when it refers to something concrete and measurable, to identify your investment's gains and financial returns.

How do you calculate return on investment with example? ›

ROI = Net Profit / Cost of Investment

Example, an investor purchases ₹1,00o worth of shares and sells the stock two years later for ₹1,200. The net profit from the expenses would be ₹200, and the Return on Investment can be calculated as below. So, in the above example, the Return on Investment will be 20%.

What is a good ROI percentage? ›

General ROI: A positive ROI is generally considered good, with a normal ROI of 5-7% often seen as a reasonable expectation. However, a strong general ROI is something greater than 10%. Return on Stocks: On average, a ROI of 7% after inflation is often considered good, based on the historical returns of the market.

What is the difference between ROI and ROE? ›

While ROE calculates the percentage return on invested equity, ROI calculates the percentage return on investment. In other words, ROE assesses an investment's "efficiency," but ROI measures its "profitability." ROI and ROE analysis may come up if you're trying to add real estate to your investment portfolio.

What is return on investment in simple words? ›

ROI stands for Return on Investment and is a measure of how much money is earned relative to the amount of money spent on an investment. It is usually expressed as a percentage and calculated by dividing the net profit from an investment by the cost of the investment.

What is the difference between IRR and ROI? ›

Return on investment (ROI) and internal rate of return (IRR) are both ways to measure the performance of investments or projects. ROI shows the total growth since the start of the projact, while IRR shows the annual growth rate. Over the course of a year, the two numbers are roughly the same.

What state has the highest ROI? ›

New Hampshire is the state with the best taxpayer return on investment, which is due in large part to the fact that it has no state income tax. Residents only pay property taxes, sales taxes and excise taxes to the state.

How do I calculate return on investment in Excel? ›

Calculating ROI is simple, both on paper and in Excel. In Excel, you enter how much the investment made or lost and its initial cost in separate cells, then, in another cell, ask Excel to divide the two figures (=cellname/cellname) and give you a percentage.

What is the formula for total return? ›

The formula for calculating total return is Total Return = (Ending Value – Beginning Value + Dividends or Interest) / Beginning Value * 100.

Why is calculating return on investment important? ›

ROI is an important metric for investors as it helps them to evaluate the profitability of an investment and make informed decisions about where to allocate their resources. It is also used by businesses to measure the success of their investments and to identify areas where they can improve their returns.

Is return on investment good or bad? ›

What is a good ROI? While the term good is subjective, many professionals consider a good ROI to be 10.5% or greater for investments in stocks. This number is the standard because it's the average return of the S&P 500 , an index that serves as a benchmark of the overall performance of the U.S. stock market.

How can ROI be improved? ›

If you want to increase your ROI at every level of your marketing, here are our best tips to make the right moves today.
  1. 1) Allocate your budget appropriately.
  2. 2) Track the right metrics.
  3. 3) Use better tools.
  4. 4) Get more mileage from your content.
  5. 5) Scope out the competition.
  6. How to Improve Your ROI Year-Round.

What is a 10 percent return on investment? ›

Let's simplify it with an example. Assume you invested $1,500 in a venture and later, it's worth $1,650. Your ROI is then ($1,650 – $1,500) / $1,500 = 10%. Regularly tracking your ROI can be made easier with digital tools or even the assistance of a financial advisor.

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