Payback Period Explained, With the Formula and How to Calculate It

The NPV is the difference between the present value of cash coming in and the current value of cash going out over a period of time. So, the discounted payback period would take 1.98 years to cover the initial cost of $8,000. The discounted payback period (DPP) is a success measure of investments and projects.

In fact, the only difference is that the cash flows are discounted in the latter, as is implied by the name. Management then looks at a variety of metrics in order to obtain complete information. Comparing various profitability metrics for all projects is important when making a well-informed decision. But since the payback period metric rarely comes out to be a precise, whole number, the more practical formula is as follows. Thus, the project is deemed illiquid and the probability of there being comparatively more profitable projects with quicker recoveries of the initial outflow is far greater.

  1. Second, we must subtract the discounted cash flows from the initial cost figure in order to obtain the discounted payback period.
  2. The project has an initial investment of $1,000 and will generate annual cash flows of $200 for the next 5 years.
  3. This is because money available today can be invested and earn a return, hence growing over time.

We will also cover the formula to calculate it and some of the biggest advantages and disadvantages. One way corporate financial analysts do this is with the payback period. In this example, the cumulative discounted
cash flow does not turn positive at all.

To begin, we must discount (that is, bring to present value) the cash flows that will occur throughout the project’s years. It enables firms to compare projects based on their payback cutoff to decide which is most worth it. Read through for the definition and formula
of the DPP, 2 examples as well as a discounted payback period calculator. Because of the opportunity cost of receiving cash earlier and the ability to earn a return on those funds, a dollar today is worth more than a dollar received tomorrow. The shorter the payback period, the more likely the project will be accepted – all else being equal.

The concept is the same as the payback period except for the cash flow used in the calculation is the present value. It is the method that eliminates the weakness of the traditional payback period. The project has an initial investment of $1,000 and will generate annual cash flows of $200 for the next 5 years. The discounted payback period indicates the profitability of a project while reflecting the timing of cash flows and the time value of money. If the discounted payback period of a project is longer than its useful life, the company should reject the project.

Cash Flow Projections and DPP Calculation

The company would use this calculation to decide if the investment in the new machine is worth the cost based on when they would recover the initial investment considering the time value of money. The discounted payback period is calculated
by discounting the net cash flows of each and every period and cumulating the
discounted cash flows until the amount of the initial investment is met. This requires the use of a discount
rate which can be either a market interest rate or an expected return. Some
organizations may also choose to apply an accounting interest rate or their
weighted average cost of capital. 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. Unlike the simple payback period, which doesn’t account for the time value of money, the Discounted Payback Period takes this into consideration.

Discounted Payback Period: What It Is, and How To Calculate It

Get instant access to video lessons taught by experienced investment bankers. Learn financial statement modeling, DCF, M&A, LBO, Comps and Excel shortcuts. https://intuit-payroll.org/ The two calculated values – the Year number and the fractional amount – can be added together to arrive at the estimated payback period.

Understanding the Discounted Payback Period

Next, the second column (Cumulative Cash Flows) tracks the net gain/(loss) to date by adding the current year’s cash flow amount to the net cash flow balance from the prior year. So it would take two years before opening the new store locations has reached its break-even point and the initial investment has been recovered. So, the two parts of the calculation (the cash flow and PV factor) are shown above.

In other words, DPP is used to
calculate the period in which the initial investment is paid back. The screenshot below shows that the time required to recover the initial $20 million cash outlay is estimated to be ~5.4 years under the discounted payback period method. 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. One of the disadvantages of discounted payback period analysis is that it ignores the cash flows after the payback period. Thus, it cannot tell a corporate manager or investor how the investment will perform afterward and how much value it will add in total.

Have you been investing and are wondering about some of the different strategies you can use to maximize your return? There can be lots of strategies to use, so it can often be difficult to know where to start. Yarilet Perez is an experienced multimedia journalist and fact-checker with a Master of Science in Journalism. She has worked in multiple cities covering breaking news, politics, education, and more.

However, not all projects and investments have the same time horizon, so the shortest possible payback period needs to be nested within the larger context of that time horizon. For example, the payback period on a home improvement project can be decades while the payback period on a construction project may be five years or less. The payback period is calculated by dividing the initial capital outlay of an investment by the annual cash flow. One of the major drawbacks of the Payback Period (PBP) is that it does not consider the opportunity cost (also referred to as the discount rate or the required rate of return). The Discounted Payback Period overcomes this weakness by using discounte cash flows in estimating the breakeven point. Prepare a table to calculate discounted cash flow of each period by multiplying the actual cash flows by present value factor.

The DPP can be used in a cost-benefit analysis as well as for the comparison of different project alternatives. In the next step, we’ll create a table with the period numbers (”Year”) listed on the y-axis, whereas the x-axis consists of three columns. Our table lists each of the years in the rows and then has three columns. First, we’ll calculate the metric under the non-discounted approach using the two assumptions below.

The rule states that investment can only be considered if its discounted payback covers its initial cost before the cutoff time frame. Use this calculator to determine the DPP of
a series of cash flows of up to 6 periods. Insert the initial investment (as a negative
number since it is an outflow), the discount rate and the positive or negative
cash flows for periods 1 to 6. The present
value of each cash flow, as well as the cumulative discounted cash flows for
each period, are shown for reference. If the initial investment is $1,000, and the sum of the discounted cash flows reaches $1,000 in 3.5 years, the what is a trial balance report is 3.5 years.

The simple payback period doesn’t take into account money’s time value. The discounted payback period has a similar purpose as the payback period which is to determine how long it takes until an initial investment is amortized through the cash flows generated by this asset. 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.

Morten Iversen

Morten var en av gründerne av Sykkelmagasinet Offroad i 1993. Siden den gang har han vært redaktør, journalist, fotograf og tester av sykler og utstyr i Sykkelmagasinet, Bladet Sykkel og nå Sykkelen.no Det har blitt noen saker opp gjennom åra :) Siden 2019 har han også begynt å løpe. Det har blitt en hobby han utøver med stor iver ved siden av syklingen. Det er en utfordring å få gjort begge deler nok. Jakten etter de perfekte løpeskoene tar aldri slutt, og det er minst 17 par mer eller mindre brukte løpesko i skohylla nå på slutten av 2022. Det har blitt noen løp også: Oslo Skogsmaraton 1/2 et par ganger. 31 k i Eco Trail. Fredrikstad maraton. Tre Topps løpet på Jeløya. Skogsleden 1/2 maraton. Silva Night Run i Oslo +++ Han har et mål om å løpe et noenlunde flatt maraton på 3.10 i løpet av 2023/2024 :) Samtidig frister det veldig å løpe Romeriksåsen på langs. Et 50k Ultra løp på stier.

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