Gandor Co$.$ is a U$.$S$.$ firm that is considering a joint venture with a Chinese firm to pro$-$ duce and sell DVDs$.$ Gandor will invest $$12$ million in this project, which will help to finance the Chinese firm$$s production. For each of the first three years, $50$ percent of the total profits will be distributed to the Chinese firm, while the remaining $50$ percent will be converted to dollars to be sent to the United States. The Chinese government intends to impose a $20$ percent income tax on the profits distributed to Gandor. The Chinese government has guaranteed that the after$-$tax profits $($denominated in yuan, the Chinese currency$)$ can be converted to U$.$S$.$ dollars at an exchange rate of $$\mathrm{.}20$ per yuan and sent to Gandor Co$.$ each year. At the current time, no withholding tax is imposed on profits sent to the United States as a result of joint ventures in China. Assume that after considering the taxes paid in China, an additional $10$ percent tax is imposed by the U$.$S$.$ government on profits received by Gandor Co$.$ After the first three years, all profits earned are allocated to the Chinese firm. The expected total profits resulting from the joint venture per year are as follows: Gandor$$s average cost of debt is $13\mathrm{.}8$ percent before taxes. Its average cost of equity is $18$ percent. Assume that the corporate income tax rate imposed on Gandor is normally $30$ percent. Gandor uses a capital structure composed of $60$ percent debt and $40$ percent equity. Gandor automatically adds $4$ percentage points to its cost of capital when deriv$-$ ing its required rate of return on international joint ventures. Though this project has particular forms of country risk that are unique, Gandor plans to account for these forms of risk within its estimation of cash flows. Gandor is concerned about two forms of country risk. First, there is the risk that the Chinese government will increase the corporate income tax rate from $20$ to $40$ percent $(20$ percent probability$).$ If this occurs, additional tax credits will be allowed, resulting in no U$.$S$.$ taxes on the profits from this joint venture. Second, there is the risk that the Chinese government will impose a withholding tax of $10$ percent on the profits that are sent to the United States $(20$ percent probability$).$ In this case, additional tax credits will not be allowed, and Gandor will still be subject to a $10$ percent U$.$S$.$ tax on profits received from China. Assume that the two types of country risk are mutually exclusive. That is$,$ the Chinese government will adjust only one of its taxes $($the income tax or the withholding tax$),$ if any. Questions $1.$ Determine Gandor$$s cost of capital. Also, determine Gandor$$s required rate of return for the joint venture in China. $2.$ Determine the probability distribution of Gandor$$s net present values for the joint venture. Capital budgeting analyses should be conducted for these three scenarios: $$ Scenario $1.$ Based on original assumptions $$ Scenario $2.$ Based on an increase in the corporate income tax by the Chinese government $$ Scenario $3.$ Based on the imposition of a withholding tax by the Chinese government $3.$ Would you recommend that Gandor participate in the joint venture? Explain. $4.$ What do you think would be the key underlying factor that would have the most influence on the profits earned in China as a result of the joint venture? $5.$ Is there any reason for Gandor to revise the composition of its capital $($debt and equity$)$ obtained from the United States when financing joint ventures like this? $6.$ When Gandor was assessing this proposed joint venture, some of its managers recommended that Gandor borrow the Chinese currency rather than dollars to obtain some of the necessary capital for its initial investment. They suggested that such a strategy could reduce Gandor$$s exchange rate risk. Do you agree? Explain