Question 11.A.19: Centaur plc has 5 million shares in issue with a market valu...

Centaur plc has 5 million shares in issue with a market value of £8.40 per share. The business has £14.2 million capital invested and EVA® for the most recent year was £1.8 million. The required return from investors is 10 per cent a year. What is the percentage contribution to the market value of the business arising from future growth?

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Assuming no growth, PV of future EVA® = \frac{EVA^{R}}{r} = \frac{£1.8  m}{0.10} = £18.0  m

Value of future growth potential (FGV®) = Business value – \left(Capital  invested + \frac{EVA^{R}}{r}\right)

= (5 m × £8.40) – (£14.2 m + £18.0 m)

= £9.8 m

Percentage contribution to business value = \left(\frac{EVA^{R}}{Business  value}\right) × 100\%

\frac{£9.8  m}{(5  m  ×  £8.40)} × 100\%

= 23.3%

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