What is the net present value and internal rate of return


Natural Mosaic. Natural Mosaic Company (U.S.) is considering investing Rs50,000,000 in India to create a wholly owned tile manufacturing plant to export to the European market. After five years, the subsidiary would be sold to Indian investors for Rs100,000,000. A pro forma income statement for the Indian operation predicts the generation of Rs7,000,000 of annual cash flow, is listed in the following table.

Sales Revenue                                                          30,000,000

Less cash operating expenses                                (17,000,000)

Gross income 13,000,000

Less depreciation expenses                                    (1,000,000)

Earnings before interest and taxes 12,000,000

Less Indian taxes at 50%                                        (6,000,000)

Net Income 6,000,000

Add back depreciation                                            1,000,000

Annual cash flow                                                    7,000,000

The initial investment will be made on December 31, 2011, and cash flows will occur on December 31st of each succeeding year. Annual cash dividends to Philadelphia Composite from India will equal 75% of accounting income.

The U.S. corporate tax rate is 40% and the Indian corporate tax is 50%. Because the Indian tax rate is greater than the U.S. tax rate, annual dividends paid to Natural Mosaic will not be subject to additional taxes in the United States. There are no capital gains taxes on the final sale. Natural Mosaic uses a weighted average cost of capital of 14% on domestic investments, but will add six percentage points for the Indian investment because of perceived greater risk. Natural Mosaic forecasts the rupee/dollar exchange rate for December 31st on the next six years are listed below.

          R$/$                                        R$/$

2011                50                    2014                62

2012                54                    2015                66

2013                58                    2016                70

What is the net present value and internal rate of return on this investment?

Please show all work because I need to understand the steps required to solve the problem. Please show work for NPV and IRR with the formula used for both. It would help a lot.

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