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BUSINESS ANALYSIS TECHNIQUES
Textbooks on management accounting often contain tables of discount factors,
so we can just look them up.
Spreadsheets like Microsoft Office Excel have the discount factors built in as
functions.
By whichever means we choose, we will discover that the discount factor for
Year 1 is 0.909, that for Year 2 is 0.826, and so forth.
We now take the net cash flow for each year in isolation (that is, ignoring any
amounts either carried forward or brought forward), and discount it by the
appropriate factor. Thus, the £120,000 in Year 1 becomes £109,080, the £120,000
in Year 2 becomes £99,120, and so on. Notice that we did not discount the minus
£410,000 in Year 0, since this money is being spent now and so is given its full
value.
The result in Table 5.2 is rather interesting. Whereas the payback calculation in
Table 5.1 suggested that the project would pay for itself in Year 4, Table 5.2 shows
a net present value of minus £29,720, so the project does not pay for itself.
Accountants may also perform a sensitivity analysis on these calculations, to
see how affected they would be by changes in interest rates. For example, if in
Table 5.2 we had used an interest rate of 5 per cent, the net present value of the
project would have come out as £1,869. This is not much of a return on a £350,000
investment over five years, so, even if interest rates dropped a lot, the project
would probably not be authorised on the basis of tangible financial benefits alone.
(It might, however, still go ahead on the basis of intangible benefits like better
market image or compliance with regulations.)
Internal rate of return
A third method of presenting the results of an investment appraisal is to calculate
what it is called the internal rate of return (IRR) of the project. The is, in
effect, a simulation of the return on the project, which can be used to compare
projects with each other and with other investment opportunities, such as leaving
the money in the bank to earn interest.
The IRR is worked out by standing the DCF/NPV calculation on its head.
In Table 5.2, for instance, we ask what interest rate we would have to use to get an
NPV of zero after Year 4 – in other words, for costs and benefits precisely to
balance. The snag is that there is no formula for IRR, and it has to be arrived at by
trial and error. So we might set up a spreadsheet and try out various interest rates
until we find one that makes the NPV zero. In the case of our example
project the result works out at roughly 6.6 per cent. So if the project were being
compared with one with an IRR of, say, 5 per cent, this one would be a more
attractive proposition. However, if the current interest rate being earned in the
bank were 7 per cent (or if the organisation was having to pay 7 per cent to borrow
money to finance its projects), it would be better to undertake neither project.
Using investment appraisal
As we have seen, the various methods of investment appraisal are used to
determine whether a project is worth undertaking at all, and also to choose