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Calculators and Calculations
Home›Calculators and Calculations›How to calculate pay back period

How to calculate pay back period

By Matthew Lynch
October 11, 2023
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In the world of business and finance, calculating the payback period is crucial for evaluating the profitability and feasibility of an investment or project. The payback period is the time it takes for an investment to generate an amount equal to its initial cost. It is a widely used tool to gauge the riskiness and efficiency of an investment. In this article, we will explain step-by-step how to calculate payback period.

Step 1: Understand the concept of payback period

Before diving into calculations, it is essential to understand what payback period represents. The main objective is to determine how long it will take for an investment to recoup its initial cost. A shorter payback period indicates a faster return on investment (ROI) and therefore, a preferable option.

Step 2: Gather relevant data

To calculate the payback period, you will need two key pieces of information:

– Initial investment (total upfront cost)

– Cash inflows (revenue generated from the investment)

For accurate results, gather cash inflows for each year over the life of your investment or project.

Step 3: Calculate cumulative cash flow

Begin calculating cumulative cash flows by adding cash inflow figures in chronological order until the initial investment value is attained or exceeded. Cumulative cash flow helps in determining the point where you break even on your investment.

Step 4: Determine payback period using formula

Now that you have all necessary data ready, use this simple formula to calculate the payback period:

Payback Period = Initial Investment / Annual Cash Inflow

For example, if your initial investment is $10,000 and annual cash inflows are $2,000, the calculated payback period would be:

Payback Period = $10,000 / $2,000 = 5 years

Step 5: Consider uneven cash flows (optional)

In case your investment generates uneven cash flows, you may need to adjust the formula. List cash flows chronologically and note the year when cumulative cash flows exceed or equal initial investment. Then use interpolation to refine your payback period calculation:

Payback Period = Year before break-even + (Remaining investment / Cash inflows in break-even year)

For example, if your investment’s cash inflows are $2,000 in Year 1, $3,000 in Year 2, and $5,000 in Year 3:

– Calculate cumulative cash flows: $2,000 (Year 1), $5,000 (Year 2), $10,000 (Year 3)

– Break-even happens in Year 3 with remaining investment of ($10,000 – $5,000) = $5,000

– Payback Period = 2 + ($5,000 / $5,000) = 3 years

Conclusion:

Understanding and calculating the payback period is crucial for making informed investment decisions. It helps businesses efficiently allocate resources by identifying profitable opportunities and mitigating risks. By following these steps and using the formula provided, you can quickly determine the payback period for your investment or project.

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