# Discounted payback method

## Definition and explanation

**Discounted payback method** of capital budgeting is a financial measure which is used to measure the profitability of a project based upon the inflows and outflows of cash for that project. Under this method, all cash flows related to the project are discounted to their present values using a certain discount rate set by the management. It takes into account the time value of money and is, therefore, an upgraded version of the simple payback method.

The discounted payback method tells companies about the time period in which the initial funds invested in a project would be recovered by the discounted value of total cash inflow. Additionally, it indicates the potential profitability of a certain business venture. For example, if a project indicates that the funds or initial investment will never be recovered by the discounted value of related cash inflows, the project would not be profitable. The company should therefore refrain from investing its funds in it.

The following example illustrates how a discounted payback method differs from a traditional or simple payback method.

## Example

An opportunity arises for a company which requires an initial investment of $800,000 now. The management’s discount rate is 12%.

The amount of cash inflows expected from the new opportunity are:

- Year-1 cash Inflow: $250,000
- Year-2 cash Inflow: $400,000
- Year-3 cash Inflow: $300,000
- Year-4 cash Inflow: $450,000

**Required:** Compute the simple and discounted payback periods of the new investment opportunity. Is this investment opportunity acceptable under two methods if the maximum desired payback period of the management is 3 years?

### Solution

#### 1. Simple payback period

The simple payback method dos not take into account the present value of cash flows.

Simple payback period = Years before full recovery + (Unrecovered cost at start of the year/Cash flow during the year)

= 2 + *150,000/300,000

2.5 years

*$800,000 – $650,000

We see that in year 3, the investment is not just recovered but the remaining cash inflow is surplus. The initial investment of the company would be recovered in 2.5 years. So 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).

#### 2. Discounted payback period

The discounted payback method takes into account the present value of cash flows.

***Present value factor at 12%: **(1/1.12)^1 = 0.893; (1/1.12)^2 = 0.797; (1/1.12)^3 = 0.712; (1/1.12)^4 = 0.636

or

use present value of $1 table to obtain these factors.

The rest of the computations are similar to simple payback period.

Discounted payback period = Years before full recovery + (Unrecovered cost at start of the year/Cash flow during the year)

= 3 + *44,350/286,200

= 3.15 years

*$800,000 – $755,650

We observe that the outcome with discounted payback method is less favorable than with the simple payback method. According to this method the initial investment would be recovered in 3.15 years.

The project is not acceptable according to discounted payback period method because the recovery period under this method (i.e., 3.15 years) is more than the maximum desired payback period of the management (i.e., 3 years).

## Advantages and disadvantages of discounted payback method

The main advantages and limitations of using a discounted payback method are listed below:

### Advantages/benefits:

- It takes into account the time value of money by deflating the cash flows using cost of capital of the company.
- The method is cash based so it reveals the period within which the cash will be available for reuse elsewhere.
- The concept backing the method is easy to understand and apply.

### Limitations/disadvantages:

- Both simple and discounted payback method do not take into account the full life of the project. The overall benefit and profitability of a project cannot be measured under these methods because any cash flows beyond the payback period is ignored.
- It may become a relative measure. In some situations the discounted payback period of the project may be longer than the maximum desired payback period of the management but other measures like accounting rate of return (ARR) and internal rate of return (IRR) etc. may favor the project.
- The accuracy of the output only depends upon the accuracy of the input provided, like the accuracy of figures of cash flows, the estimation of the timing of cash flows which affects their present values, and the accuracy of the discount rate to be used etc.

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