Smalltalk is a social media company that is considering expanding into online retailing. The project, which is estimated to last 4 years, requires an initial investment of 20m in year zero. Sales and operating costs are estimated to be 30m and 20m, respectively, in each of years 1-4. Working capital is expected to be 10m in year 1, doubling to 20m in year 2 and growing to 30m in year 3, before falling back to zero in year 4. Smalltalk has a Debt/Equity (D/E) ratio equal to one. Assume that the company is able to borrow at the risk free rate of 5% and that the market risk premium is 8%. Assume also no taxes and that all cash flows accrue at the end of the relevant period.

a. Determine Smalltalks cost of capital and the NPV of the project assuming that the project has the same capital structure as the company and an equity beta equal to 2.

b. Suppose now that the equity beta of social media firms is 4 and the equity beta of online retailers is 1. Determine the appropriate cost of capital and the NPV of the project, explaining the logic behind your choice of beta. (Assume for simplicity that D/E ratios in the two industries are similar to the projects D/E)

c. Assume now that, different from b., Smalltalk has a unique capital structure among both social media companies and online retailers. The average D/E ratio in both industries is around 0.5 while Smalltalks is 1. Provide a brief discussion of how you would revise your analysis in b. to account for this piece of information