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Remaining reserves are calculated as follows:
 
Remaining reserves are calculated as follows:
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:<math> \mbox{Reserves remaining} = (\mbox{Annual production} - \mbox{Annual production rate at abandonment}) \div \mbox{Annual decline rate}</math>
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:<math> \mbox{Reserves remaining} = \frac{(\mbox{Annual production} - \mbox{Annual production rate at abandonment})}{\mbox{Annual decline rate}}</math>
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This equation is a “quick and dirty” method only, allowing rapid estimation of remaining reserves of a producing well, lease, or field, and it can be useful in early assessments and negotiations. A comprehensive coverage of production forecasting and estimating reserves from production data is presented by Thompson and Wright.<ref name=pt02r16>Thompson, R. S., Wright, J. D., 1985, Oil property evaluation, 2nd ed.: Golden, CO, Thompson-Wright Associates, 212 p.</ref>
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This equation is a “quick and dirty” method only, allowing rapid estimation of remaining reserves of a producing well, lease, or field, and it can be useful in early assessments and negotiations. A comprehensive coverage of production forecasting and estimating reserves from production data is presented by Thompson and Wright.<ref name=pt02r16>Thompson, R. S., and J. D. Wright, 1985, Oil property evaluation, 2nd ed.: Golden, CO, Thompson-Wright Associates, 212 p.</ref>
    
==Bid strategy==
 
==Bid strategy==
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Sales of producing properties are often well advertised, attracting several potential purchasers, and are commonly carried out by sealed bidding. It is important to recognize that sealed bid sales of oil and gas properties contain several inherent pitfalls:
 
Sales of producing properties are often well advertised, attracting several potential purchasers, and are commonly carried out by sealed bidding. It is important to recognize that sealed bid sales of oil and gas properties contain several inherent pitfalls:
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* Because reserves and producing rates are lognormally distributed, independent present value estimates of the same property will also tend to be lognormally distributed. This phenomenon is well documented for offshore lease sales.<ref name=pt02r2>Capen, E. C., Clapp, R. V., Campbell, W. M., 1971, Competitive bidding in high-risk situations: Journal of Petroleum Technology, v. 23, p. 641–653, 10, 2118/2993-PA</ref><ref name=pt02r11>Megill, R. E., 1984, An introduction to risk analysis, 2nd ed.: Tulsa, OK, PennWell Books, 274 p.</ref> Accordingly, there will tend to be a larger numerical differential between the first and second bids than between the lowest and second-lowest bids. This leads naturally to large overbids or “leaving money on the table” as an inherent byproduct of the mathematics.
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* Because reserves and producing rates are lognormally distributed, independent present value estimates of the same property will also tend to be lognormally distributed. This phenomenon is well documented for offshore lease sales.<ref name=pt02r2>Capen, E. C., R. V. Clapp, and W. M. Campbell, 1971, Competitive bidding in high-risk situations: Journal of Petroleum Technology, v. 23, p. 641–653, 10, 2118/2993-PA</ref><ref name=pt02r11>Megill, R. E., 1984, An introduction to risk analysis, 2nd ed.: Tulsa, OK, PennWell Books, 274 p.</ref> Accordingly, there will tend to be a larger numerical differential between the first and second bids than between the lowest and second-lowest bids. This leads naturally to large overbids or “leaving money on the table” as an inherent byproduct of the mathematics.
 
* Geotechnical forecasts of reserves, producing rates, and so on are estimates made under uncertainty. Hence, both overestimates as well as underestimates are likely to occur in a group of independent estimates of the same property. Final bid levels are most influenced by estimates of reserves and rates. In sealed bidding, the property goes to the highest bidder. Accordingly, there is a marked tendency for winners of sealed bid sales to have overestimated the present value of the property— usually by overestimating reserves or rates. This is called the ''winner's curse''. Moreover, because of lognormality, the amount of money left on the table by the winner is frequently substantial. This pattern is most significant for exploration bidding, but it should still be taken into account in sealed bidding for producing properties.
 
* Geotechnical forecasts of reserves, producing rates, and so on are estimates made under uncertainty. Hence, both overestimates as well as underestimates are likely to occur in a group of independent estimates of the same property. Final bid levels are most influenced by estimates of reserves and rates. In sealed bidding, the property goes to the highest bidder. Accordingly, there is a marked tendency for winners of sealed bid sales to have overestimated the present value of the property— usually by overestimating reserves or rates. This is called the ''winner's curse''. Moreover, because of lognormality, the amount of money left on the table by the winner is frequently substantial. This pattern is most significant for exploration bidding, but it should still be taken into account in sealed bidding for producing properties.
 
* The result is commonly that acquisitions are substantially less profitable than the purchaser has anticipated. And when the previously discussed unanticipated geotechnical, process, and economic risks are factored in, the danger is doubled. Technical assessors must never forget that the central goal is to make a sound profit on the purchase. The appropriate mind set to operate from is, ''“If we cannot acquire this property at our price, we do not want it!”''
 
* The result is commonly that acquisitions are substantially less profitable than the purchaser has anticipated. And when the previously discussed unanticipated geotechnical, process, and economic risks are factored in, the danger is doubled. Technical assessors must never forget that the central goal is to make a sound profit on the purchase. The appropriate mind set to operate from is, ''“If we cannot acquire this property at our price, we do not want it!”''
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|-
| Assumptions
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| rowspan = 8 | Assumptions || Corporate discount rate = 10%
| Corporate discount rate = 10%
   
|-
 
|-
|
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| Minimum commercial PV @ 10% = [[cost::1,000,000 USD]]
 
| Minimum commercial PV @ 10% = [[cost::1,000,000 USD]]
 
|-
 
|-
|
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| Chance of success (achieve minimum commercial PV or more) = 80%
 
| Chance of success (achieve minimum commercial PV or more) = 80%
 
|-
 
|-
|
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| Mean present value of all success scenarios @ 10% = [[cost::2,000,000 USD]]
 
| Mean present value of all success scenarios @ 10% = [[cost::2,000,000 USD]]
 
|-
 
|-
|
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| Chance of failure (achieve less than minimum commercial PV) = 20%
 
| Chance of failure (achieve less than minimum commercial PV) = 20%
 
|-
 
|-
|
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| Mean present value of all failure scenarios @ 10% = –[[cost::400,000 USD]]
 
| Mean present value of all failure scenarios @ 10% = –[[cost::400,000 USD]]
 
|-
 
|-
|
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| Mean present value of all success scenarios @ 18% = [[cost::1,000,000 USD]]
 
| Mean present value of all success scenarios @ 18% = [[cost::1,000,000 USD]]
 
|-
 
|-
|
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| Mean present value of all success scenarios @ 20% = [[cost::800,000 USD]]
 
| Mean present value of all success scenarios @ 20% = [[cost::800,000 USD]]
 
|-
 
|-
| Expected present value calculation
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| Expected present value calculation || 0.8([[cost::2,000,000 USD]]) + 0.2(–[[cost::400,000 USD]]) = ''' +[[cost::1,520,000 USD]] ''' = ''' EPV<sub>10%</sub> '''
| 0.8([[cost::2,000,000 USD]]) + 0.2(–[[cost::400,000 USD]]) = ''' +[[cost::1,520,000 USD]] ''' = ''' EPV<sub>10%</sub> '''
   
|-
 
|-
| Bid strategy method
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| Bid strategy method || [[cost::1,520,000 USD]] × 0.5 = ''' [[cost::760,000 USD]] = Recommended bid '''
| [[cost::1,520,000 USD]] × 0.5 = ''' [[cost::760,000 USD]] = Recommended bid '''
   
|-
 
|-
| Recalculation of expected present value (including recommended bid)
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| Recalculation of expected present value (including recommended bid) || 0.8([[cost::2,000,000 USD]] – [[cost::760,000 USD]]) + 0.2(–[[cost::400,000 USD]] – [[cost::760,000 USD]]) = ''' [[cost::760,000 USD]] ''' = ''' EPV<sub>10%</sub> '''
| 0.8([[cost::2,000,000 USD]] – [[cost::760,000 USD]]) + 0.2(–[[cost::400,000 USD]] – [[cost::760,000 USD]]) = ''' [[cost::760,000 USD]] ''' = ''' EPV<sub>10%</sub> '''
   
|-
 
|-
| Conventional method (using PV as a risking measure)
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| rowspan = 3 | Conventional method (using PV as a risking measure) || PV@ 10% = [[cost::2,000,000 USD]]
| PV@ 10% = [[cost::2,000,000 USD]]
   
|-
 
|-
|
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| PV @ 18% = [[cost::1,000,000 USD]] = conventional bid to allow for risk = ''' [[cost::1,000,000 USD]] '''
 
| PV @ 18% = [[cost::1,000,000 USD]] = conventional bid to allow for risk = ''' [[cost::1,000,000 USD]] '''
 
|-
 
|-
|
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| PV @ 20% = [[cost::800,000 USD]] = more prudent bid to guard against overestimating = ''' [[cost::800,000 USD]] '''
 
| PV @ 20% = [[cost::800,000 USD]] = more prudent bid to guard against overestimating = ''' [[cost::800,000 USD]] '''
 
|}
 
|}
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Perhaps this explains the proliferation since 1990 of auction sales of U.S. producing properties, which minimize the winner's curse.
 
Perhaps this explains the proliferation since 1990 of auction sales of U.S. producing properties, which minimize the winner's curse.
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==See also==
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* [[Risk: expected value and chance of success]]
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* [[Economics: time value of money]]
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* [[Risk: dealing with risk aversion]]
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* [[Economics: fundamental equations for oil and gas property evaluation]]
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* [[Economics: key parameters]]
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* [[Taxes]]
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* [[Uncertainties impacting reserves, revenue, and costs]]
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* [[Cash flow model]]
    
==References==
 
==References==
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[[Category:Economics and risk assessment]]
 
[[Category:Economics and risk assessment]]
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[[Category:Methods in Exploration 10]]

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