**Tutorial:**

**Financial Concepts**

**and Capital Budgeting**

When a firm is presented with a capital budgeting decision, one of its first tasks is to determine whether or not the project will prove to be profitable. The net present value (NPV), internal rate of return (IRR) and payback period (PB) methods are the most common approaches to project selection. Although an ideal capital budgeting solution is such that all three metrics will indicate the same decision, these approaches will often produce contradictory results. Depending on managements' preferences and selection criteria, more emphasis will be put on one approach over another. Nonetheless, there are common advantages and disadvantage associated with these widely used valuation methods.

**Payback Period**

The payback period calculates the length of time required to recoup the original investment. For example, if a capital budgeting projects requires an initial cash outlay of $1 million, the PB reveals how many years are required to for the cash inflows to equate to the one million dollar outflow. A short PB period is preferred as it indicated that the project will "pay for itself" within a smaller time frame.

In the following example, the PB period would be three and one-third of a year, or three years and four months.

Investment |
Inflows |
||||

Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |

-1,000,000 | 300,00 | 300,000 | 300,000 | 300,000 | 300,000 |

There are two major drawbacks to using the PB metric to determine capital budgeting decisions. Firstly, the payback period does not account for time value of money (TVM). Simply calculating the PB provides a metric which places the same emphasis on payments received in year one and year two. Such an error violates one of the basic fundamental principles of finance. Luckily, this problem can easily be amended by implementing a discounted payback period model. Basically, the discounted PB period factors in TVM and allows one to determine how long it take for the investment to be recovered on a discounted cash flow basis.

The second problem is more serious. Both, payback periods and discounted payback periods ignore the cash flows that occur towards the end of a project's life, such as the salvage value. Thus the PB is not a direct measure of profitability. The following example has a PB period of four years, which is worse than that of the previous example, but the large $15,000,000 cash inflow occurring in year five is ignored for the purposes of this metric.

Investment |
Inflows |
||||

Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |

-1,000,000 | 250,000 | 250,000 | 250,000 | 250,000 | 15,000,000 |

*Understanding The Time Value Of Money*.)

**Internal Rate of Return**

The internal rate of return (IRR) is the discount rate that would result in a net present value of zero. Since the NPV of a project is inversely correlated with the discount rate – if the discount rate increases future cash flows become more uncertain and thus become worth less – the benchmark for IRR calculations is the actual rate used by the firm to discount after tax cash flows. An IRR which is higher than the weighted average cost of capital suggests that the capital project is a profitable endeavor, and vice versa.

The IRR rule is as follows:

IRR < cost of capital = reject project

In the example below, the IRR is 15%. If the firm's actual discount rate that they use for discounted cash flow models is less than 15% the project should be accepted.

Investment |
Inflows |
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Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |

-1,000,000 | 300,00 | 300,000 | 300,000 | 300,000 | 300,000 |

Despite that the IRR is easy to compute with either a financial calculator or software packages, there are some downfalls to using this metric. Similar to the PB method, the IRR does not give a true sense of the value that a project will add to a firm – it simply provides a benchmark figure for what projects should be accepted based on the firm's cost of capital. The internal rate of return does not allow for an appropriate comparison of mutually exclusive projects; therefore managers might be able to determine that project A and project B are both beneficial to the firm, but they would not be able to decide which one is better if only one may be accepted.

Another error arising with the use of IRR analysis presents itself when the cash flow streams from a project are unconventional, meaning that there are additional cash outflows following the initial investment. Unconventional cash flows are common in capital budgeting since many projects require future capital outlays for maintenance and repairs. In such a scenario, an IRR might not exist, or there might be multiple internal rates of return. In the example below two IRRs exist – 12.7% and 787.3%.

Investment |
Inflows |
||||

Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |

-1,000,000 | 10,000,000 | -10,000,000 | 0 | 0 | 0 |

*Internal Rate Of Return: An Inside Look*.)

**Net Present Value**

The net present value approach is the most intuitive and accurate valuation approach to capital budgeting problems. Discounting the after tax cash flows by the weighted average cost of capital allows managers to determine whether a project will be profitable or not. And unlike the IRR method, NPVs reveal exactly

*how*profitable a project will be in comparison to alternatives. The NPV rule states that all projects which have a positive net present value should be accepted while those that are negative should be rejected. If funds are limited and all positive NPV projects cannot be initiated, those with the high discounted value should be accepted.

In the two examples below, assuming a discount rate of 10% project A and project B have respective NPVs of $126,000 and $1,200,000. These results signal that both capital budgeting projects would increase the value of the firm, but if the company only has $1 million to invest at the moment, project B is superior.

Investment |
Inflows |
||||

Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |

-1,000,000 | 300,000 | 300,000 | 300,000 | 300,000 | 300,000 |

Investment |
Inflows |
||||

Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |

-1,000,000 | 300,000 | -300,000 | 300,000 | 300,000 | 3,000,000 |

The profitability index is calculated by dividing the present value of future cash flows by the initial investment. A PI greater than 1 indicated that the NPV is positive while an NPV of less than 1 indicates a negative NPV. (Weighted average cost of capital may be hard to calculate, but it's a solid way to measure investment quality. See

*Investors Need A Good WACC*.)

**Conclusions**

Different businesses will use different valuation methods to either accept or reject capital budgeting projects. Although the NPV method is considered the favorable one among analysts, the IRR and PB are often used as well under certain circumstances. Managers can have the most confidence in their analysis when all three approaches indicate the same course of action.