In: Finance
(a) Free cash flow = EBIT*(1 - tax rate) + depreciation - net investment - increase in net working capital
depreciation is not given. so it's zero.
Sales next year = current sales*(1+sales growth rate) = £200m*(1+0.08) = £200m*1.08 = £216m
EBIT next year = Sales next year*EBIT as a % of sales = £216m*7% = £15.12m
Increases in both net investment and in net working capital will be 8% of any increase in sales.
increase in sales = Sales next year - current sales = £216m - £200m = £16m
net investment = increase in sales*net investment as a % of sales = £16m*8% = £1.28m
Increase in net working capital = £16m*8% = £1.28m
Free cash flow next year = £15.12m*(1-0.25) + 0 - £1.28m - £1.28m = £15.12m*0.75 + 0 - £1.28m - £1.28m = £11.34m + 0 - £1.28m - £1.28m = £8.78m
Firm value = [Free cash flow next year/(WACC - sales growth rate)]/(1+WACC) = [£8.78m/(0.12 - 0.08)]/(1+0.12) = (£8.78m/0.04)/1.12 = £219.5m/1.12 = £195.9821428571429m
Equity value = Firm value - debt = £195.9821428571429m - £12m = £183.9821428571429m
Fair price of shares = Equity value/no. of shares = £183.9821428571429m/15m = £12.27 per share
(b) EV/EBIT multiple = EV/EBIT
EV is enterprise value.
EBIT is £15.12m calculated in part (a).
20 = EV/£15.12m
EV = £15.12m*20 = £302.4m
EV value of £302.4m is next year. we need its present value.
present value = EV next year/(1+WACC) = £302.4m/(1+0.12) = £302.4m/1.12 = £270m
Equity value = present value of EV + cash - debt = £270m + £32m - £12m = £290m
Fair price of shares = Equity value/no. of shares = £290m/15m = £19.33 per share