Do calculations in excel and show work.
You are thinking about buying an investment property in San Jose for $150,000 today. You expect to earn $10,000 per year of net rental income (after costs, such as property tax, HOA and maintenance, etc.) on the property and you expect to sell it in 5 years for $200,000. If the annual discount rate is 8%, is this investment attractive to you?
(a) What is the net present value of this investment? Is this a good investment based on the net present value decision rule?
(b) What is the IRR for this investment? What decision would be reached based on the IRR decision rule?
Present Value = Future value/ ((1+r)^t) | |||||||||
where r is the discount rate that is 8% and t is the time period in years. | |||||||||
Net present value (NPV) = initial investment + sum of present values of future cash flows. | |||||||||
The internal rate of return (IRR) is the discount rate for which the NPV is zero. | |||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | |||
cash flow | -150000 | 10000 | 10000 | 10000 | 10000 | 200000 | |||
present value | 9259.259 | 8573.388 | 7938.322 | 7350.299 | 136116.6 | ||||
NPV | 19237.91 | ||||||||
a) | The NPV of the investment is 19237.91. | ||||||||
Based on the NPV rule, this is a good investment because the NPV is greater than zero. | |||||||||
b) | Use the financial formulas function in excel to calculate the IRR. | ||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | |||
cash flow | -150000 | 10000 | 10000 | 10000 | 10000 | 200000 | |||
IRR | 10.95% | ||||||||
Since the discount rate used for the project (8%) is less than the IRR (10.95%), | |||||||||
based on the IRR rule this is a good investment. |
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