The Gibson Company is a United States (US) firm that is considering a joint venture with Brasilia, DF, a Brazilian firm that grows and processes coffee beans. Gibson has a patent for a new coffee processing method. This intellectual property is motivating Gibson to expand beyond importing coffee to engaging in a joint venture to process the coffee. Gibson will invest $8 million in the proposed joint venture project, which will help to finance Brasilia 's production using the newly patented process.

The Brazilian government has guaranteed that the after-tax profits (denominated in Reals, the Brazilian currency) can be converted to US dollars at the current exchange rate and sent to the Gibson Company each year. Current exchange rates can be found at http://www.oanda.com.

For each of the first five years, 60 percent of the total profits will be distributed to Brasilia, while the remaining 40 percent will be converted to dollars to be sent to Gibson. The income tax rate for the joint venture will be 10%. However, the Brazilian government is considering raising the income tax rate to 30%. At the present time, the Brazilian government doe not impose a separate income tax on profits sent out of the country. However, the Brazilian government is considering imposing an additional 10 percent income tax on profits distributed to a foreign company. Assume that there are no other forms of tax. After considering the taxes paid in Brazil, assume an additional seven percent tax imposed by the US government on profits received by Gibson Company.

The expected total profits resulting from the joint venture per year are as follows:

Year	Total Profits from Joint Venture (in BRL)
1	40 million
2	60 million
3	70 million
4	90 million
5	120 million

Gibson's average cost of debt is 6 percent before taxes. Its average cost of equity is 9 percent. Assume that Gibsons US income tax rate is 10 percent. Gibsons capital structure is 70 percent debt and 30 percent equity. Gibson adds between 2 and 5 percentage points to its cost of capital when deriving its required rate of return on international joint ventures. Gibson plans to account for country and other risks within its cash flow estimates.

Gibson is concerned about country risk in the following two forms:

(1) Will the Brazilian government increase the corporate income tax rate from 10 percent to 30 percent (20 percent probability)? If this occurs, Gibson will receive additional tax credits on its US taxes, resulting in no US taxes on the profits from this joint venture.

(2) Will the Brazilian government impose a separate income tax of 10 percent on the profits distributed to foreign companies such as Gibson (20 percent probability)? If this occurs, Gibson will not receive additional tax credits, and the company will still be subject to US tax on the profits from this joint venture.

Assume that the two types of country risk are mutually exclusive. If it does anything, the Brazilian government will only implement one of these changes in its tax policies (i.e., the increase in the basic income tax on the profits of the joint venture or the additional income tax on profits distributed to foreign companies). The Brazilian government may also choose to leave things as they are.

1. Determine Gibson's cost of capital and required rate of return for the joint venture in Brazil.

2. Determine the discrete probability distribution of Gibson's Net Present Value for this joint venture and calculate the Expected Net Present Value.