Discounted Payback Period: How to Calculate & Examples

The above steps ensure that cash flows are treated relatively during discounting time. The formula for the simple payback period and discounted variation are virtually identical. However, one common criticism of the simple payback period metric is that the time value of money is neglected. The next step is to subtract the number from 1 to obtain the percent of the year at which the project is paid back. Finally, we proceed to convert the percentage in months (e.g., 25% would be 3 months, etc.) and add the figure to the last year in order to arrive at the final discounted payback period number. One observation to make from the example above is that the discounted payback period of the project is reached exactly at the end of a year.

Since it recognizes that money depreciates over time, the discounted payback period makes decisions for many investors and corporate houses. Thprojectent value adjustment maximizes the decision-making process and accurately depicts the project’s profitability. The rest of the procedure is similar to the calculation of simple payback period except that we have to use the discounted cash flows as calculated above instead of nominal cash flows. Also, the cumulative cash flow is replaced by cumulative discounted cash flow. The Discounted Payback Period is a capital budgeting method used to determine the length of time it takes to break even on an investment in terms of its discounted cash flows.

Discounted payback method

It is primarily used to calculate the projected return from a proposed capital investment opportunity. The time value of money is the concept that a dollar today is worth more than a dollar in the future, because money can earn interest or returns if invested. Ct represents the cash flow at time t, r is the discount rate, and  Iams is the initial investment.

  • In capital budgeting, the payback period is defined as the amount of time necessary for a company to recoup the cost of an initial investment using the cash flows generated by an investment.
  • Projects with quicker returns allow businesses to reinvest profits sooner, leading to faster growth and increased financial stability.
  • You can find the full case study here where we have also calculated the other indicators (such as NPV, IRR and ROI) that are part of a holistic cost-benefit analysis.
  • It is primarily used to calculate the projected return from a proposed capital investment opportunity.

Cash Flow Generation

The discounted payback period focuses solely on the time it takes to recoup the initial investment. It does not consider the cash flows generated beyond that point, potentially overlooking the long-term profitability of an investment. Since the discount rate used in the calculation reflects the project’s cost of capital or required rate of return, the discounted payback period inherently incorporates risk assessment. Investments with longer payback periods may be riskier because they are exposed to uncertainties over an extended period. The discounted payback period addresses the shortcomings of the traditional payback period by incorporating the time value of money.

Choose a discount rate, which may usually be either the cost of capital of the concerned company or the rate of return required. Company A has selected a project which costs $ 350,000 and it expects to generate cash inflow $ 50,000 for ten years. The discounted payback period calculation begins with the -$3,000 cash outlay in the starting year (or period). This process is applied to each additional period’s cash inflow to find the point at which the inflows equal the outflows. At this point, the project’s initial cost has been paid off, and the payback period is reduced to zero. So, for example, management can compare the required break-even date to deducting sales tax the discounted payback period.

Cash Flow Projections and DPP Calculation

The discounted payback period formula sums discounted cash flows until they equal the initial investment. When evaluating investments, the discounted payback period plays a significant role in providing a more accurate picture of the project’s profitability. By considering the time value of money, this metric accounts for the opportunity cost of capital and adjusts for risk. As a result, it offers a more realistic perspective on the investment’s potential returns.

Everything You Need To Master Financial Modeling

It can however also be leveraged to measure the success of an investment or project in hindsight and determine the point at which an initial investment has actually paid back. Discounted payback period calculation is a simple way to analyze an investment. This means that it doesn’t consider that money today is worth more than money in the future. For example, let’s say you have an initial investment of $100 and an annual cash flow of $20. If you’re discounting at a rate of 10%, your payback period would be 5 years.

  • So being able to determine when certain projects will pay back compared to others makes the decision easier.
  • Discounted Payback period is the tool that uses present value of cash inflow to measure the time require to recover the initial investment.
  • A technology firm decides to invest $2 million in the development of a new software product.

Step 1: Identify the Initial Investment

discounted payback period

The initial outflow of cash flows is worth more right now, given the opportunity cost of capital, and the cash flows generated in the future are worth less the further out they extend. The standard payback period is calculated by dividing the initial investment cost by the annual net cash flow generated by that investment. In this example, the cumulative discountedcash flow does not turn positive at all.

First, we must discount (i.e., bring to the present value) the net cash flows that will occur during each year of the project. The decision rule is a simple rule to determine if an investment is worthwhile, and which of several investments is most worthwhile. If the discounted payback period for a certain asset is less than the useful life of that asset, the investment might be approved. If a business is choosing between several potential investments, the one with the shortest discounted payback period will be the most profitable. While the discounted payback period incorporates the discount rate as a proxy for risk, it may not provide a comprehensive risk assessment.

This means that you would need to earn a return of at least 9.1% on your investment to break even. This means that you would need to earn a return of at least 19.6% on your investment to break even. Another advantage of this method is that it’s easy to calculate and understand. This makes it a good choice for decision-makers who don’t have a lot of experience with financial analysis. This means that you would only invest in this project if you could get a return of 20% or more. This metric guides organizations in selecting projects that align with their financial objectives and long-term strategies.

discounted payback period

The Discounted Payback Period is a financial metric that calculates when an investment recovers its initial cost while considering the time value of money. It involves estimating future cash flows, applying a discount rate, and assessing risk. Though it aids in investment decisions, it may overlook long-term profitability. It finds applications in capital budgeting and project selection for quicker returns. A shorter discounted payback period signifies that a project generates quicker cash flows to cover the initial investment costs. This rapid recovery indicates higher liquidity and reduced risk exposure for the investor, making it an attractive metric for decision-making in capital budgeting.

The discount rate represents the opportunity cost of investing your money. Discounted payback period refers to the number of years it takes for the present value of cash inflows to equal the initial investment. 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. When evaluating investments or projects with long-term horizons, the Discounted Payback Period becomes particularly important.

Discounted payback period is a variation of payback period which uses discounted cash flows while calculating the time an investment takes to pay back its initial cash outflow. One of the major disadvantages of simple payback period is that it ignores the time value of money. To counter this limitation, discounted payback period was devised, and it accounts for the time value of money by discounting the cash inflows of the project for each period at a suitable discount rate. The discounted payback period is used to evaluate the profitability and timing of cash inflows of a project or investment.


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