You have been asked by an investor to value a local restaurant. In the most recent year, the restaurant earned a pretax operating income of $300,000. Income has grown an average of 4% annually during the last five years, and it is expected to continue growing at that rate into the foreseeable future. By introducing modern management methods, you believe the pretax operating-income growth rate can be increased to 6% beyond the second year and sustained at that rate through the foreseeable future. The investor is willing to pay a 10% premium to reflect the value of a control. The beta and debt-to-equity ratios for publicly traded firms in the restaurant industry are 2 and 1.5, respectively. The business target debt-to-equity ratio is 1, and its pretax cost of borrowing, based on its recent borrowing activities, is 7%. The business-specific risk for firms of this size is estimated to be 6%. The investor concludes that the specific risk of this business is less than other firms in this industry due to its sustained profit growth, low leverage, and high return on assets compared to similar restaurants in this geographic area. Moreover, per capita income in this region is expected to grow more rapidly than elsewhere in the country, adding to the growth prospects of the restaurant business. At an estimated 15%, the liquidity risk premium is believed to be relatively low due to the excellent reputation of the restaurant. Since the current chef and the staff are expected to remain if the business is sold, the quality of the restaurant is expected to be maintained. The ten-year Treasury bond rate is 5%, the equity risk premium is 5.5%, and the federal, state and local tax rate is 40%. The annual change in working capital is $20,000, and capital spending for maintenance exceeded depreciation in the prior year by $15,000. Both working capital and the excess of capital spending over depreciation are projected to grow at the same rate as operating income. What is the business worth?

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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 Gibsonï¿½s US income tax rate is 10 percent. Gibsonï¿½s 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.

Assignment

5. Under what circumstances might Gibson shift to more equity financing when considering joint ventures like this? What is the minimum required return that would still make this investment worthwhile?

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 Gibsonï¿½s US income tax rate is 10 percent. Gibsonï¿½s 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.

Assignment

7. Discuss the benefits of the joint venture from the perspective of Brasilia. What is the maximum amount of money Brasilia should invest?

ECON 2560 Chapter Notes - Chapter 13: Cash Flow, Weighted Arithmetic Mean, Capital Asset Pricing Model

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