
640 Part VI International finance
First, we must consider the time dimension. The project is capable of operating for ten
years, but the host government has expressed its desire to buy into the project after four years.
This may signal to Sparkes the possibility of more overt intervention, possibly extending to
outright nationalisation, perhaps by a successor government. It seems prudent to confine the
analysis to a four-year period and to include a terminal value for the project based on net
book values. If we assume a ten-year life, straight-line depreciation and ignore investment in
working capital, the NBV after four years will be 60 per cent of Half of
this can be treated as a cash inflow paid by the host government and half as a (perhaps con-
servative) assessment of the value of Sparkes’ continuing stake in the enterprise.
In practice, we often encounter complications in assessing terminal values. For example,
the assets may include land, which may appreciate in value at a rate faster than general
price inflation. If so, there may be holding gains to consider, gains which may well be tax-
able by the host government. However, it is unwise to rely overmuch on terminal values –
if project acceptance hinges on the terminal value, it is probably unwise to proceed with
this sort of project.
Second, how should we specify the cash flows? Here, we have two problems: first, diver-
gence between UK and Hungarian rates of inflation; and second, the need to convert locally-
denominated cash flows into sterling. To be consistent, we should discount nominal cash
flows at the nominal cost of capital or real cash flows at the real cost. Each will give the
same answer, but we conduct the analysis in nominal cash flows, thus incorporating the
effect of inflation. Hence all cash flows are inflated at the anticipated Hungarian rate of
inflation of 25 per cent.
As it is assumed that we are evaluating this project from the standpoint of Sparkes’ own-
ers, we need to obtain a sterling NPV figure. There are two ways of doing this.
The inflated cash flows in HUF are shown in Table 22.2. These are converted into ster-
ling using forecast future spot rates. According to PPP, sterling will appreciate by the ratio
of the respective inflation rates, i.e. (1.25)/(1.05) = 19% p.a. The predicted future spot rates
are also shown in Table 22.2. The resulting sterling cash flows are then discounted at 10%
to obtain a positive NPV.
Alternatively, we could proceed by discounting the inflated cash flows at a discount rate
applicable to a comparable firm in Hungary, thus arriving at an NPV figure in local cur-
rency, and then convert to sterling. The local discount rate using the Fisher formula (I
H
=
Hungarian inflation) is:
(1 + P)(1 + I
H
) – 1 = (1.10)(1.25) – 1 = (1.375 – 1) = 0.375, i.e. 37.5%.
To obtain a Sterling NPV, we adjust the NPV in HUF terms at today’s spot rate of 200HUF
vs. £1. Table 22.3 shows the result of this operation. Allowing for rounding, the NPVs are
identical, i.e. the project is worth £2.18 m to Sparkes’ shareholders.
Ft1,000 m Ft600 m.
■ Expected net cash flows from Zoltan in millions of Hungarian Forints (HUF) (at current
prices):
Year 0 1 2 3 4
■ The project may operate for a further six years, but the local government has expressed
its desire to purchase a 50 per cent stake at the end of Year 4. The purchase price will
be based on the net book value of assets.
■ The spot exchange rate between sterling and Forints is 200 per £1. The present rates of
inflation are 25 per cent in Hungary and 5 per cent for the UK. These rates are expected
to persist for the next few years.
■ For this level of risk, Sparkes requires a return of 10 per cent in real terms.
4004004004001,000
Table 22.1 Sparkes and Zoltan: project details
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