Problem:
Firm S is considering adding a robotic device to its production line. The device base price is $1,038,000.00, and it would cost another $21,500.00 to install it. The machine falls into the MACRS 3-year class (the applicable MACRS depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%), and it would be sold after 3 years for $563,000.00. The machine would require an increase in net working capital (inventory) of $7,500.00. The sprayer would not change revenues, but it is expected to save the firm $446,450.00 per year in before-tax operating costs, mainly labor. Firm S marginal tax rate is 30.00%.
Required:
Question 1: If the project's cost of capital is 12.65%, what is the NPV of the project? Elucidate comprehensively and provide all workings and methods.