Real Discount Rate: 14.0% compounded daily
Your team is assigned to the Gadget Division of The FGM Corporation, the largest multinational automobile manufacturer in the U.S. Your team is asked to evaluate a project proposal regarding the production of a device, DEVICE, which applies the artificial intelligence technology to improve driving experiences and safety. This upgradeable built-in device gives warnings to drivers and assists them to stay in lane and avoid collision. The DEVICE will be marketed as an optional feature for FGM cars and trucks. A 15-month comprehensive market analysis on the potential demand for the device was conducted and completed last year at a cost of $18.0M, where M is for millions. Based on the comprehensive market analysis, your team expects annual sale volume of DEVICE to be 5.0M units for the first year and will decrease by 500,000 units annually in the following two years. The REAL unit price of the device is $985 (expressed in constant t=0 dollar). Due to the introduction of similar products by competitors at the end of Year 3, the expected annual sale volume will drop to 3.0M units for the project’s remaining 2-year life. And the REAL unit price is expected to fall to $785 (expressed in constant t=0 dollar) in the year following the introduction of the competitive products. The REAL unit production costs are estimated at $895 (expressed in constant t=0 dollar) at the beginning of the project, and will not be impacted by the change in competition. Annual nominal growth rates for unit prices and unit production costs are expected to be 3.0% and 4.5%, respectively, over the entire life of the project. In addition, the implementation of the project demands current assets set at 18% of contemporaneous annual sale revenues, and current liabilities set at 14% of contemporaneous annual production costs. Besides, the introduction of DEVICE will increase the sales volume of cars and trucks that leads to an increase in the annual after-tax operating cash flow of FGM by $30.0M (expressed in constant t=0 dollar, i.e., in real term) for the first three years, and $15.0M (expressed in constant t=0 dollar, i.e., in real term) afterwards. The production line for DEVICE is built on a vacant plant site (land) purchased by FGM at a cost of $50.0M thirty years ago. The vacant plant site has a current market value of $40.0M and is expected to be sold at the termination of the project for $55.0M in five years. The machinery for producing DEVICE has an invoice price of $120.0M, and its customization costs another $10.0M for meeting the specifications for the project. The machinery has an economic life of five years, and is classified in the MACR 5-year asset class for depreciation purpose. The sale price of the machinery at the termination of the project is expected to be 12% of its initial invoice price. The corporate handbook of The FGM Corporation states that corporate overhead costs should be reflected in project analyses at the rate of 3.6% of the book value of assets. The acceptance of the project has no impact on the corporate overhead costs. However, financial analysts at the Headquarters believe that every project should bear its fair share of the corporate overhead burden. On the other hand, the Director of the Gadget Division disagrees to this view and believes that the corporate overhead costs should be left out of the analysis. The marginal tax rate of The FGM Corporation is 21%. And any tax loss from the project can be used to write off taxable income of The FGM Corporation. The general inflation rate is 3.2%.
Question 1: A. In light of the appropriate objective of a firm, what should be your recommendation on the DEVICE Project based on the (base) scenario described above? Numerically justify your recommendation according to the conceptually most correct capital budgeting method.