# Capital Investment Appraisal Techniques

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2 DCF NPV method IRR Internal Rate of Return NB: The firm s existing return on capital is 15% and in this case this is assumed to be their cost of capital for appraisal purposes. R Noble, Agricultural Engineers are considering an investment programme. It has a choice of three projects each of which cost 60000, but capital is limited in supply to Project A Project B Project C Hydraulic Ramps Modification to metal Special Delivery Workshop cutting machine vehicle Forecasted Cash Flows: Year NPV factors at 15% Yr Return on Investment The return on investment method expresses the average annual profit earned over the life of the project as a % of the initial capital outlay or the average capital outlay. Project A Project B Project C Cash flow Depreciation (20% straight-line) Incremental Profit Average profit % of initial outlay 12% 10.5% 10% This method is easily understood but has two main weaknesses as it ignores both the cost of capital and the timing of the cash flow.

3 Payback Period This is the measure of time it takes to recover the original outlay and is usually defined as the number of years it will take for the cumulative cash flow from the project to equal the capital outlay. Although this method does give weighting to the timing of the cash flow, it fails to take account of the cash flow after the capital has been recovered and does not relate to cost of capital. Project A B C Cumulative Cash Flow Year Payback Period * You will note that project B, has cumulative cash flow after 3 years, therefore a further 9000 is required to cover the initial This is from a further in year 4. Discounted Cash Flow It was demonstrated earlier assuming the possibility of investment money at 10%, that 1100 in a year s time was the equivalent of 1000 today. This conclusion could have been derived by referring to NPV tables and reading off the NPV factor at 10% for year one ie: and multiplying 1100 x 0.909, which equals 1000, the net present value of the future In discounted terminology the 1000 is termed the present value of 1100 in one year s time. To calculate the DCF return, a rate of discount is assumed, this usually relates to the cost of capital or the target return required. The present values of all the future cash flows are listed by multiplying the cash flow for each year by the appropriate discount factor. The aggregate of these present values is then compared with the initial outlay and the NPV net present value is determined. If the NPV is positive then the return achieved is greater than the rate at which the cash flows have been discounted, and therefore the project would be acceptable. Conversely if the NPV is negative then the rate of return is less than the rate at which the cash flows have been discounted and therefore the project would be rejected. DCF Schedule Project A Project B Project C Years NPV Factor Cash Flow NPV Cash Flow NPV Cash Flow NPV

4 (60000) (60000) (60000) (60000) (60000) (60000) NPV: As each project has a positive NPV they are all achieving a rate in excess of 15%. Project C has the higher NPV and is therefore achieving the highest return. If a decision to adopt was made purely on a financial perspective then project C would be the first choice. IRR Internal Rate of Return In order to determine the rate the project is achieving we need to consider the IRR. The IRR is simply that % discount rate at which the NPV would be equal to zero. That is where the cumulative present values equal the initial outlay. You will need an awareness of this concept and may not necessarily have to calculate it in an examination. In the case of project C we need to discount the cash flows at a higher rate. Project C Years NPV Factor 20% Cash Flow NPV (60000) (60000) NPV: (1761) As the project, when discounted at 20%, has a NPV of ( 1761) negative, it is not achieving that discounted rate of return. The IRR therefore falls between 15% and 20%. This can be determined by graph or formula.

5 By Graph By Formula This project is achieving a discounted return of 18.53% which is also termed the projects internal rate of return. There is no one technique that will result in the right decision being taken; any method has to be based on a subjective assessment of sales, relevant costs and cash flow. Competence in the use of these techniques is a must for all practicing bookkeepers and anyone advising small businesses.

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