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Formula for the price of oil

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Formula for the price of oil

Unread postby ohanian » Mon 13 Mar 2006, 00:04:30

Hi all,

Here is the formula for the (minimum) price of oil. That's the price in which forms the lower bound for the price of oil.

Price = 15 x (Year - 2000) - 37

For example:

Year = 2005 Price = $37 per barrel

Year = 2006 Price = $53 per barrel

For the future

Year = 2007 Price = $68 per barrel

That is to say that on the 1st Jan 2007, the price is above $68

Year = 2008 Price = $83 per barrel

Year = 2009 Price = $98 per barrel

Year = 2010 Price = $113 per barrel
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Re: Formula for the price of oil

Unread postby Tanada » Mon 13 Mar 2006, 05:16:58

$this->bbcode_second_pass_quote('ohanian', 'H')i all,

Here is the formula for the (minimum) price of oil. That's the price in which forms the lower bound for the price of oil.

Price = 15 x (Year - 2000) - 37

For example:

Year = 2005 Price = $37 per barrel

Year = 2006 Price = $53 per barrel

For the future

Year = 2007 Price = $68 per barrel

That is to say that on the 1st Jan 2007, the price is above $68

Year = 2008 Price = $83 per barrel

Year = 2009 Price = $98 per barrel

Year = 2010 Price = $113 per barrel


How did you find this formula and what makes you think it is an accurate predictor long term?
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Re: Formula for the price of oil

Unread postby TorrKing » Mon 13 Mar 2006, 06:12:24

This formula is nonsence. If one where to make a formula of the oil price one would have to include growth and future supply at the very least.

Very simplistic, but probably more accurate: "projected economic growth" - "projected increase/decrease in oil production" = change in oil price

Example (imaginary numbers):
0,03 - (-0,025) = 0,055 = 5,5% increase in oil price

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Re: Formula for the price of oil

Unread postby Doly » Mon 13 Mar 2006, 06:35:10

You are assuming that the price of oil increases linearly, and it looks like that in the short term. In the longer term, it approximates better by an exponential (and there are some theoretical grounds that support it should be like that). But this is only valid until all hell breaks loose when the economy crashes.
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Re: Formula for the price of oil

Unread postby ohanian » Mon 13 Mar 2006, 16:52:43

$this->bbcode_second_pass_quote('Doly', 'Y')ou are assuming that the price of oil increases linearly, and it looks like that in the short term. In the longer term, it approximates better by an exponential (and there are some theoretical grounds that support it should be like that). But this is only valid until all hell breaks loose when the economy crashes.


You are correct but I expect the linear rise to continue until 2008 - 2009 and once the price hits $90 , it will enter a different era.
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Re: Formula for the price of oil

Unread postby jaws » Mon 13 Mar 2006, 23:26:19

Econometrics, science is measurement!
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Re: Formula for the price of oil

Unread postby OilBurner » Tue 14 Mar 2006, 05:58:16

Even dafter, double the price given from above forumla to get the upper bound for that year.

Probably nonsense, but good fun all the same! :)

For 2004: upper 46, lower 23 - average 35
For 2005: upper 76, lower 38 - average 57
For 2006: upper 106, lower 53 - average 80
....
For 2009: upper 196, lower 98 - average 147

Random walk anybody?
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Re: Formula for the price of oil

Unread postby whereagles » Tue 14 Mar 2006, 09:32:25

Hum.. it's always a bit muddy to try and model a system with chaotic behavior, but ok :P
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Re: Formula for the price of oil

Unread postby MrBill » Tue 14 Mar 2006, 09:59:57

I am not a mathmetician and economterics give me math anxiety, but if I was looking to make price predictions based on historical prices I may consider the following variables.

Base price period one = P1
Major low: 2001 $17.50
Major high: 2005 $70.85

P1 = price in period one
P2 = price in period two
D1 = demand period one
D2 = demand period two
D2 = D1 x GDP growth x 1.5* (marginal growth not as energy efficient G7=1X, EM=2X, China=4X and represents diminishing returns)
S1 = supply period one
S2 = supply period two
S2 = S1 x 1.03* (supply expands linearly as pre-announced projects come on-line at least in short term)
T1 = threat of terrorism
T2 = threat of refinery fires
T3 = threat of weather related supply interuptions
T4 = threat of bird flu = demand destruction
where T1-T4 = probability expressed as 1/n
Sd = standard deviations from the mean
Ma = 21 day moving average

P2 = P1 x ((D2 x (1 - T4))/(S2 x (1 - (T1 + T2 + T3 + Tn)) +/- 2SdMa

where P1 when S1 = D1

But of course the trick would be to qualify the probability of each threat x the no. of bpd lost production (or demand destruction) x duration, and as we all know, energy demand cannot exceed supply in the long-run as it is a finite resource, so this might represent a snap shot of supply & demand, but fun to jump through the mental hoops.

Now Doly can tell me what is wrong with my formula? Thanks ; - )
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Re: Formula for the price of oil

Unread postby Doly » Tue 14 Mar 2006, 12:16:28

$this->bbcode_second_pass_quote('MrBill', 'I') am not a mathmetician and economterics give me math anxiety, but if I was looking to make price predictions based on historical prices I may consider the following variables.

Base price period one = P1
Major low: 2001 $17.50
Major high: 2005 $70.85

P1 = price in period one
P2 = price in period two
D1 = demand period one
D2 = demand period two
D2 = D1 x GDP growth x 1.5* (marginal growth not as energy efficient G7=1X, EM=2X, China=4X and represents diminishing returns)
S1 = supply period one
S2 = supply period two
S2 = S1 x 1.03* (supply expands linearly as pre-announced projects come on-line at least in short term)
T1 = threat of terrorism
T2 = threat of refinery fires
T3 = threat of weather related supply interuptions
T4 = threat of bird flu = demand destruction
where T1-T4 = probability expressed as 1/n
Sd = standard deviations from the mean
Ma = 21 day moving average

P2 = P1 x ((D2 x (1 - T4))/(S2 x (1 - (T1 + T2 + T3 + Tn)) +/- 2SdMa

where P1 when S1 = D1

But of course the trick would be to qualify the probability of each threat x the no. of bpd lost production (or demand destruction) x duration, and as we all know, energy demand cannot exceed supply in the long-run as it is a finite resource, so this might represent a snap shot of supply & demand, but fun to jump through the mental hoops.

Now Doly can tell me what is wrong with my formula? Thanks ; - )


You mean, apart from including essentially non-quantifiable factors, like all your T's? :razz:

Well, I'm not sure about assuming that demand will grow linearly with GDP. A much better measure would be growth of the transport industry (plus usage for heating where it is an important factor). Also not sure what you mean with your comment about diminishing returns.

But I'm glad to find that you believe prices grow in proportion to demand/supply, because I thought that was the case, but I couldn't find a place that confirmed it. Logically, if you assume that demand grows exponentially and supply doesn't grow as fast, the result is that prices must grow exponentially as well in the long term (forgetting about temporary shocks in demand or supply).
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Re: Formula for the price of oil

Unread postby legit » Tue 14 Mar 2006, 12:25:49

B1 = Beer prices
BS = Beer reserves
T = Tobacco supplies
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Re: Formula for the price of oil

Unread postby Schopenhauer » Tue 14 Mar 2006, 12:32:00

Over at Econbrowser, Prof. Hamilton has an interesting post calculating the future cost of oil at a 95% confidence interval if the price follows a Gaussian random walk. By the fourth quarter of 2010, the price will be somewhere between $14.34 and $250.99.

That's helpful, isn't it?!

Seriously though, it's a good post and worth a vist.
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Re: Formula for the price of oil

Unread postby MrBill » Tue 14 Mar 2006, 13:10:07

$this->bbcode_second_pass_quote('', 'Y')ou mean, apart from including essentially non-quantifiable factors, like all your T's?

Well, I'm not sure about assuming that demand will grow linearly with GDP. A much better measure would be growth of the transport industry (plus usage for heating where it is an important factor). Also not sure what you mean with your comment about diminishing returns.

But I'm glad to find that you believe prices grow in proportion to demand/supply, because I thought that was the case, but I couldn't find a place that confirmed it. Logically, if you assume that demand grows exponentially and supply doesn't grow as fast, the result is that prices must grow exponentially as well in the long term (forgetting about temporary shocks in demand or supply).



Well obviously, smarter guys than me have tackled this problem, and like Econbrowser mentioned by Schopenhauer the end result is a range of prices bases on relative probabilities.

My point with the T variables, is you start with basically known supply & demand based on recent trends and then you need to knock-out supply based on disruptions, for example an active hurricane season in the Gulf once again this year. Clearly you know the bpd of refining and unloading capacity, and you know the probability is between 0.10-0.90 (it isn't going negative or over 1.0).

Also high prices and treats like avian influenza can knock-out demand too. We have experience with known events (probability 1.0) like terrorist attacks, so we know for example that a bomb in London can cause a move of 15% in one day without any disruption in supply based on fears of disruption in demand (i.e. post 9/11). But real distruptions can have less of an effect due to the markets ability to immediately ascertain their potential effect on prices, such as a refinery fire, less than 1% say.


The point with diminishing returns is that growth in emerging markets is twice that of the OECD average (6% vs. 3%), but that they use more energy per unit of economic output (4X in the case of China), so growth in EM uses more energy. And even growth in developed markets comes at the expense of more energy per unit of output until energy savings can be implemented over time. Therefore, expanding GDP is the basis of the start of any demand forecasts. Growth^2 = energy^>2

We have an idea that prices are not likely to dip below $50 unless bird flu breaks out and destroys real demand. We know that $70.85 is likely to be tested on any Iranian sanctions. It is not very precise, but I think I can tighten up the range of forecasts between $15 and $250 for sure.


At least you didn't laugh at my math. Not bad for the 25th percentile ; - )
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