Makonis Co

Makonis Co, a listed company producing motor cars, wants to acquire Nuvola Co, an engineering company involved in producing innovative devices for cars. Makonis Co is keen to incorporate some of Nuvola Co’s innovative devices into its cars and thereby boosting sales revenue. The following financial information is provided for the two companies: Makonis Co Nuvola Co Current share price $5·80 $2·40 Number of issued shares 210 million 200 million Equity beta 1·2 1·2 Asset beta 0·9 1·2 It is thought that combining the two companies will result in several benefits. Free cash flows to firm of the combined company will be $216 million in current value terms, but these will increase by an annual growth rate of 5% for the next four years, before reverting to an annual growth rate of 2·25% in perpetuity. In addition to this, combining the companies will result in cash synergy benefits of $20 million per year, for the next four years. These synergy benefits are not subject to any inflationary increase and no synergy benefits will occur after the fourth year. The debt-to-equity ratio of the combined company will be 40:60 in market value terms and it is expected that the combined company’s cost of debt will be 4·55%. The corporation tax rate is 20%, the current risk free rate of return is 2% and the market risk premium is 7%. It can be assumed that the combined company’s asset beta is the weighted average of Makonis Co’s and Nuvola Co’s asset betas, weighted by their current market values. Makonis Co has offered to acquire Nuvola Co through a mixed offer of one of its shares for two Nuvola Co shares plus a cash payment, such that a 30% premium is paid for the acquisition. Nuvola Co’s equity holders feel that a 50% premium would be more acceptable. Makonis Co has sufficient cash reserves if the premium is 30%, but not if it is 50%. Dear Sirs, I dont understand from where these numbers brought into the solution. "Total PV of cash flows (years 5 to perpetuity) = 262·55 x 1·0225 /(0·09 – 0·0225) x 1·09–4 = $2,817·51 million"