In the above question we are assuming that the takeover will take place after 2007. Thus the NPV calculation was done for inflows as Perpetual Annuity and for outflows the discount factor was 1 only. We know that the total outflow for takeover will be $150 million (Cash and Common Stock) and $30 million (Debt outstanding). Thus total outflow of $180 million will be multiplied by discount factor of 1.
For inflows we have taken from the problem Net Sales: $425 mn; less COGS (60% of sales): $255 mn; less ASE: $65 mn; less Interest: $3mn; less Depreciation: $40mn; PBT will come as $62 mn from which 34% tax will be deducted i.e. $21.08mn resulting in PAT $40.92mn. We will add back depreciation which is a non cash item thus the Cash inflow will be $80.92 mn. The question also highlight a capex of $50 mn after 2007 every year which is an outflow thus net Cash Inflow for perpetual annuity purpose will be $30.92 mn. The cost of capital is calculated using weighted cost formula which is resulting in 16% as after takeover 40% will be debt @10% cost and 60% equity @ 20% cost. The formula for perpetual cash inflow present value will result in $30.92/0.16 resulting to $193.25mn. Thus the NPV will be positive $13.25mn.
(b) As NPV is positive the acquisation should be done.
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