Discounted Payback Period Meaning, Formula How to Calculate?

discounted payback period definition

The discounted payback method takes into account the present value of cash flows. Given a choice between two investments having similar returns, the one with shorter payback period should be chosen. Management might also set a target payback period beyond which projects are generally rejected due to high risk and uncertainty. In this case, the discounting rate is 10% and the discounted payback period is around 8 years, whereas the discounted payback period is 10 years if the discount rate is 15%. So, this means as the discount rate increases, the difference in payback periods of a discounted pay period and simple payback period increases.

Discount payback period: A 101 for small business owners

The formula for computing the discounted payback period is as follows. Others like to use it as an additional point of reference in a capital budgeting decision framework. Average cash flows represent the money going into and out of the investment. Inflows are any items that go into the investment, such as deposits, dividends, or earnings.

Simple Payback Period vs. Discounted Method

The project is acceptable according to simple payback period method because the recovery period under this method (2.5 years) is less than the maximum desired payback period of the management (3 years). The discounted payback period adds discounting to the basic payback period calculation, thereby greatly increasing the accuracy of its results. It is significantly more accurate than the basic payback period formula, which can be seriously inaccurate when the cash flow period is quite long or the discount rate is high. The discounted payback period is often used to better account for some of the shortcomings, such as using the present value of future cash flows.

How Is the Discounted Payback Period Calculated?

discounted payback period definition

The breakeven point is the price or value that an investment or project must rise to cover the initial costs or outlay. The payback period refers to how long it takes to reach that breakeven. If DPP were the only relevant indicator,option 3 would be the project alternative of choice.

What Is the Decision Rule for a Discounted Payback Period?

  • This means that you would need to earn a return of at least 9.1% on your investment to break even.
  • The next step is to subtract the number from 1 to obtain the percent of the year at which the project is paid back.
  • IRR tells you the discount rate at which the NPV of a project or investment is zero.
  • One of the most important concepts every corporate financial analyst must learn is how to value different investments or operational projects to determine the most profitable project or investment to undertake.
  • The inflation rate for consumer prices in the United States, according to the Bureau of Labor Statistics in June 2024.
  • UsefulnessThe time value of money is considered when using discounted payback, but otherwise the points made previously regarding the usefulness of payback hold for discounted payback as well.

Although it is not explicitly mentioned in the Project Management Body of Knowledge (PMBOK) it has practical relevance in many projects as an enhanced version of the payback period (PBP). There are a variety of ways to calculate a return on investment (ROI) — net present value, internal rate of return, breakeven — but the simplest is payback period. The following example illustrates the computation of both simple and discounted payback period as well as explains how the two analysis approaches differ from each other.

Discounted payback period formula

Most capital budgeting formulas, such as net present value (NPV), internal rate of return (IRR), and discounted cash flow, consider the TVM. So if you pay an investor tomorrow, it must include an opportunity cost. With positive future cash flows, you can increase your cash outflow substantially over a period of time. Depending on the time period passed, your initial expenditure can affect your cash revenue. The period of time that a project or investment takes for the present value of future cash flows to equal the initial cost provides an indication of when the project or investment will break even.

First, we must discount (i.e., bring to the present value) the net cash flows that will occur during each year of the project. Despite these limitations, discounted payback period methods can help with decision-making. It’s a simple way to compare different investment options and to see if an investment is worth pursuing. When deciding on any project to accounting software embark on, a company or investor wants to know when their investment will pay off, meaning when the cash flows generated from the project will cover the cost of the project. As we can see, the initial investment is paid back in Year 3 (because the value of the cumulative cash flow is negative at the end of Year 2 and positive at the end of Year 3).

Simple payback period does not take into account the principles of time value of money. Why this can be a problem when analyzing the payback period can be explained through a simple example. Where,i is the discount rate; andn is the period to which the cash inflow relates. I hope you guys got a reasonable understanding of what is payback period and discounted payback period.

Assume Company A invests $1 million in a project that is expected to save the company $250,000 each year. If we divide $1 million by $250,000, we arrive at a payback period of four years for this investment. For example, if solar panels cost $5,000 to install and the savings are $100 each month, it would take 4.2 years to reach the payback period. If you have a cumulative cash flow balance, you made a good investment. Thus, you should compare your year-end cash flow after making an investment.

The presentvalue of each cash flow, as well as the cumulative discounted cash flows foreach period, are shown for reference. The discounted payback period is a capital budgeting procedure used to determine the profitability of a project. A discounted payback period gives the number of years it takes to break even from undertaking the initial expenditure, by discounting future cash flows and recognizing the time value of money. The metric is used to evaluate the feasibility and profitability of a given project. The discounted payback period is the number of years after which the cumulative discounted cash inflows cover the initial investment. As in the case of the PP, the DPP shouldn’t be used as a measure of investment project profitability.

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