Consider a project with the following annual cash flows: -$100 (at t=0) and $300 (at t=5). What is the IRR of this project?[Answer: Percentage number. If the answer is 12.34% write either 12.34 (number with 2 decimals) or 0.1234 (number with 4 decimals). Do not include ‘%’.]
Question
Consider a project with the following annual cash flows: -300 (at t=5). What is the IRR of this project?[Answer: Percentage number. If the answer is 12.34% write either 12.34 (number with 2 decimals) or 0.1234 (number with 4 decimals). Do not include ‘%’.]
Solution
The Internal Rate of Return (IRR) is the discount rate that makes the Net Present Value (NPV) of a project zero. In this case, we need to find the rate (r) that satisfies the following equation:
0 = -300 / (1 + r)^5
To solve this equation for r, we can use a financial calculator or a software like Excel. However, this is a trial and error process and there is no direct formula to calculate it.
In Excel, you can use the IRR function. First, you need to enter the cash flows in a column or row. In this case, you would enter -100 in the first cell and 300 in the sixth cell (representing the fifth year), leaving the cells for years 1 to 4 blank or filled with zeros. Then, you would use the IRR function on this range of cells.
The result should be approximately 0.2487 or 24.87%.
Similar Questions
What is the IRR of the following set of cash flows? Year Cash Flow0 –$9,503 1 4,300 2 5,500 3 3,900 Multiple Choice22.11%21.06%20.01%20.64%21.48%
WHY50, Inc., is trying to evaluate a project with the following cash flows:Year 0: 30,294, Year 1: 21,361, Year 2: 32,734What is this project's IRR? Report your answer as a percentage with 2-digit precision (ex. show 12.3456% as 12.35). Hint: Quadratic root or numerical solutions.
Filter Corporation has a project available with the following cash flows:Year Cash Flow0 −$16,2001 5,6002 6,9003 6,3004 4,700 What is the project's IRR?
A firm is considering a project that requires an initial outlay of £50,000. It will have a life of 5 years. It will generate free cash flows of £20,000 in years 1 and 2 and £5,000 in years 3 – 5.What is this project’s Internal Rate of Return (IRR) in %? [to 2 decimal places e.g. 7.54%]
Suppose you derived the following information on the Private Cash Flow of a project: Year 0 1 2 3 4 5 6 Market Cash Flow -5200 1500 1500 1500 1500 1500 1500 Debt Financing 3200 -900 -900 -900 -900 -900 -900 Private Net Flow -2000 600 600 600 600 600 600 If the debt-to-equity ratio is 60:40; calculate: The IRR on the Market [a] The IRR on the Debt [b] The IRR on the Equity [c
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.