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Expected NPV...
When you studied the NPV section, you may have realized that most of the examples assumed that the well would be 100% successful. But in real life—and in OilFinancier—there is no guarantee that any well will be successful (well actually in OilFinancier, there will be a few situations where success is 100% guaranteed). This section deals with the uncertainty of being successful when deciding to drill a well.
![]() To start this analysis, I am going to first do NPV calculations for shallow, intermediate, and deep wells. I am going to use a 300-day period (the length of the seminar) and a discount rate of 0.5% per OF day. I get the following results:
When you do your spreadsheet you should be fairly close to these values. Don’t worry about differences of about 2% or so; we probably made some slightly different calculations or assumptions, and such differences will not affect the ultimate financial decision. We will be using these figures in this table throughout the rest of the financial training.
We are also assuming we are at the start of the seminar, which means we have no producing or dry wells to predict where the best chances of success based on OilFinancier Geology. Instead we must rely on OilFinancier Statistics for doing a financial analysis. With no wells nearby, OilFinancier Statistics tells us that the probability of finding oil at the shallow depth is 19%, intermediate depth 16%, and the deep depth 9%. We have no other choice but to use these figures. Shallow Well Analysis If we drill a shallow well, we have a 19% chance of discovering a shallow pool and this pool will have an NPV of $328,000. Since 19% from 100% leaves an 81% chance we will spend $100,000 to find no oil at the shallow depth and. And since it is a shallow well, we cannot discover an intermediate or deep pool. When this kind of uncertainty exists, financial people use an Expected NPV (E) formula: E = S Pi ´ NPVi where: E = Expected Net Present Value Pi = Probability of Outcome i NPVi = Net Present Value of Outcome i For the shallow well, we have two possible outcomes: the well will be successful or it will not. We can just then plug in the numbers into the formula: E (shallow) = 0.19 ´ $328,000 + 0.81 ´ -100,000 Note that the NPV of the second term is negative. This is because the dry shallow well cost you $100,000 in "Day 1" of your analysis. Also note that the cost of drilling the successful shallow well is already incorporated in the NPV calculation, so you don’t have to subtract this cost for the first term. Working through the numbers: E (shallow) = 62,000 - 81,000. = -$19,000 The fact that the Expected Net Present Value is negative tells you that you should not make this investment. But you may want to consider that your assumed discount rate may be too high especially this early in the seminar. Now let’s look at drilling an intermediate well at the start of the seminar. We can discover a shallow pool (19%), we can discover an intermediate pool (16%), or we can drill a dry well (65%) [100% – 19% – 16%]. Working these numbers into the formula, we get: E (intermediate) = 0.19 ´ $328,000 + 0.16 ´ $545,000 + 0.65 ´ -200,000 = 62,000 + 87,000 – 135,000 = $14,000 Now we have a positive value. The NPV calculation tells us that drilling an intermediate well early in the seminar is actually a profitable venture (at a 0.5% discount rate). Lastly, we shall look at the prospects of a deep well. The probability of discovering a shallow pool is still 19%, intermediate 16%, and deep 9%. This leaves a 56% chance of finding a dry well. Here’s our formula at work: E (deep) = 0.19 ´ $328,000 + 0.16 ´ $545,000 + 0.09 ´ 871,000 – 0.56 ´ -300,000 = 62,000 + 87,000 + 78,000 – 168,000 = $59,000 Another positive NPV! Drilling deep wells early in the seminar is profitable! Let’s compare the NPVs for the three types of well: Shallow = - $19,000, Intermediate = $14,000, Deep = $59,000. The largest NPV belong to the deep well, which tells us that the deep well is the best investment. But when we discuss a financial concept called utility later on, you might want to reconsider what the expected NPV calculations are telling you. The next section, Decision Tree Analysis, gives you another tool to better apply expected NPV values.
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