Question: Forecast the Net Present Value of a project given the cash inflows and cash outflows of the project. Then use this information to simulate the
Forecast the Net Present Value of a project given the cash inflows and cash outflows of the project. Then use this information to simulate the uncertainty of forecasting a projects NPV.
A likely scenario might be:
- Project A is a multi-year project; it begins on January 1, 2011 and is scheduled to end on December 31, 2014 (fixed cost is $215,000)
- The cash outflow for Project A is estimated at $100,000 at the beginning in the first year of the project, $50,000 at the end of the year, $50,000 in 2012, and a final cash payment of $15,000 in 2014.
- The cash inflow for Project A is estimated at $0 for the first year, $25,000 in 2012, $120,000 in 2013, and finally, $200,000 in 2014.
- The company desires a 12% return rate on their investment to consider the project. The company also believes that inflation will remain constant at 2% per year.
Given this information we can determine the NPV of Project A using a simple Excel spreadsheet. We can then use Crystal Ball to simulate the uncertainty associated with forecasting the NPV of Project A. Table 1 is an example of the spreadsheet, or Discounted Cash Flow model, developed to calculate Project As NPV. The Excel spreadsheet (Figure 1) contains the actual data and formulas used for this exercise.
| Project A | ||||||
| Year | Inflow | Outflow | Net Flow | Discount Factor | Net Present Value | Inflation Rate |
| *2011 | $0 | $100,000 | 0.02 | |||
| 2011 | $0 | $50,000 | 0.02 | |||
| 2012 | $25,000 | $50,000 | 0.02 | |||
| 2013 | $120,000 | $0 | 0.02 | |||
| 2014 | $200,000 | $15,000 |
|
| 0.02 | |
| Total |
|
|
|
| ||
Table 1 Project A Cash Flow Analysis
(a). Complete Table 1 to calculate Project As NPV. The net cash flow of Project A is calculated by taking the total of all years net flow, and when discounted at the rate of 12% (required rate of return for project selection) plus the annual inflation rate of 2%, the net present value of the projects cash flow can be estimated. So, at first glance, the project would seem to be a good candidate for selection. But there are uncertainties to this scenario. What if Project A does not generate the cash inflows estimated here, or at the time the inflows are expected? Perhaps the annual inflation rate is 3% rather than 2%. We can use Crystal Ball to simulate the risk, or uncertainty, involved in using NPV for project selection.
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