show work, not excel

Example 0.1.1. A project requires an initial capital of $30,000 and will return the following amounts: $14,000 (in one year); $12,000 (in two years); $6,000 (in three years); $4,000 (in four years) and $2,000 (in five years). We assume here a cost of capital of 10% per year. 1. Find the internal rate of return (IRR). 2. Find the Modified internal rate of return (MIRR). 3. The net present value (NVP). 4. Find the payback period for this project. 5. Find the discounted payback period for this project. 6. Find the profitability index