Question 3 [18 points] Consider the following startup company which produces a mobile device. The company has two types of costs. The costs of sales account for 30% of revenues and the R&D costs account for x% of revenues. In addition, the following assumptions are made and hold for all subsequent questions. The company sells one million units of the device at t=1 and two million units at t=2. The company sells the device for $10 per unit at t=1 and 1-2. The company only exists for two period (t=1,2) and the liquidation (residual) value is zero. There is no CAPEX, no depreciation and no changes in working capital. The tax rate is 30%. The cost of capital (i.e. discount rate) is 12%. For questions (a) to (c), it is assumed that R&D costs accounts for x=20% of revenues. (a) (b) Determine the operating income, net operating income and free cash flow of the company at t=1 and 1-2? [6p] The owner wants to sell the company and hires an investment bank to do a DCF valuation. What is the (DCF-) value of the firm for the seller? [2p] A private equity fund is interested in acquiring this company at t=0. The owner of the company asks for $9 million. The private equity fund is making a decision whether to acquire the company under the following assumptions. The acquisition price of $9 million (for the startup and its plant, properties and equipment) is paid in cash and fully written off in two years in equal amount. In other words, the private equity fund uses linear depreciation of the acquisition price. The cost of capital is 12% as above. (c) (d) Under the given assumptions, should the private equity fund buy the company for that price? [6p] The private equity fund conducts a sensitivity analysis. Determine the R&D costs x% of revenues such that the private equity fund breaks even at that acquisition price. [4p]