{ "metadata": { "name": "", "signature": "sha256:1116ddb949417e1e93677aea889dec9a8d79cfaf4ed7b667bad291f8a7e481c7" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Oil: Brent vs. West Texas Intermediate (WTI), and their weighted price" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We examine the history of oil prices, and their spreads. Real prices give additional insight, along with some of the statistical characteristics used in financial economics.\n", "\n", "[Unless otherwise noted, the price per barrel is in U.S. dollars. Near the conclusion, we use USD index units.]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Dependencies:*\n", "\n", " - Linux, bash [not crucial, cross-platform prefered]\n", " - Python: matplotlib, pandas [recommend Anaconda distribution]\n", " - Modules: yi_1tools, yi_plot, yi_timeseries, yi_fred\n", " \n", "*CHANGE LOG*\n", "\n", " 2015-05-26 Code review and revision.\n", " 2014-10-09 First version for oil, using 2014-09-28 Template." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# NOTEBOOK settings and system details: [00-tpl v14.12.21]\n", "\n", "# Assume that the backend is LINUX (our particular distro is Ubuntu, running bash shell):\n", "print '\\n :: TIMESTAMP of last notebook execution:'\n", "!date\n", "print '\\n :: IPython version:'\n", "!ipython --version\n", "\n", "# Automatically reload modified modules:\n", "%load_ext autoreload\n", "%autoreload 2\n", "# 0 disables autoreload.\n", "# Generate plots inside notebook:\n", "%matplotlib inline\n", "\n", "# DISPLAY options\n", "from IPython.display import Image \n", "# e.g. Image(filename='holt-winters-equations.png', embed=True) # url= also works\n", "from IPython.display import YouTubeVideo\n", "# e.g. YouTubeVideo('1j_HxD4iLn8', start='43', width=600, height=400)\n", "from IPython.display import HTML # useful for snippets\n", "# e.g. HTML('')\n", "\n", "import pandas as pd\n", "print '\\n :: pandas version:'\n", "print pd.__version__\n", "# pandas DataFrames are represented as text by default; enable HTML representation:\n", "# [Deprecated: pd.core.format.set_printoptions( notebook_repr_html=True ) ]\n", "pd.set_option( 'display.notebook_repr_html', False )\n", "\n", "# MATH display, use %%latex, rather than the following:\n", "# from IPython.display import Math\n", "# from IPython.display import Latex\n", "\n", "print '\\n :: Working directory (set as $workd):'\n", "workd, = !pwd\n", "print workd + '\\n'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", " :: TIMESTAMP of last notebook execution:\n", "Tue May 26 10:26:40 PDT 2015\r\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " :: IPython version:\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "2.3.0\r\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " :: pandas version:\n", "0.15.0\n", "\n", " :: Working directory (set as $workd):\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "/home/yaya/Dropbox/ipy/fecon235/nb\n", "\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from yi_1tools import *\n", "from yi_plot import *\n", "from yi_timeseries import *\n", "from yi_fred import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Brent vs. WTI" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Retreive daily data:\n", "brent = getfred( d4brent )\n", "wti = getfred( d4wti )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# BoW: Brent over WTI spread:\n", "bow = todf( brent - wti )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( bow )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The difference between Brent and WTI is not superficial. BoW can represent over 20% of the underlying oil price!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Let's look at BoW trend since 1999:\n", "plotfred( trend( bow ) )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: regresstime slope = 0.00140233726321\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# Since the slope uses daily data, we annualize it:\n", "0.0014023 * 256" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "0.3589888" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Over the long haul, we can **anticipate BoW to increase $0.36 annually per barrel**, though there will be very large deviations around the expected \\$6 spread. Note that the composition of Brent oil benchmark no longer really represents Brent as an location." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Oil: weighted average price" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Set wtbrent, the primary weight for OIL:\n", "wtbrent = 0.50\n", "# 0.50 represents the mean\n", "# ==================================\n", "wtwti = 1 - wtbrent\n", "oil = todf( (wtbrent * brent) + (wtwti * wti) )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( oil )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FDPXqDAVSjPQ0DKMl0Ls3fPll7vWbY8ivu86NV3/oIZgxw7k7/Lb8UTP+ggxH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\nZ/jss8Q8MwlNWbEicSSPSPp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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The Great Recession plunge from \\$140 to \\$40 is extraordinary.** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[At equal weights, we have created two convenience series called d4oil and m4oil.]" ] }, { "cell_type": "code", "collapsed": false, "input": [ "stats( oil )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Y\n", "count 7304.000000\n", "mean 44.469187\n", "std 32.819087\n", "min 9.960000\n", "25% 18.948750\n", "50% 27.170000\n", "75% 68.925000\n", "max 144.630000\n", "\n", " :: Index on min:\n", "Y 1998-12-10\n", "dtype: datetime64[ns]\n", "\n", " :: Index on max:\n", "Y 2008-07-03\n", "dtype: datetime64[ns]\n", "\n", " :: Head:\n", " Y\n", "T \n", "1987-05-20 19.190\n", "1987-05-21 19.200\n", "1987-05-22 19.115\n", "1987-05-25 19.140\n", "1987-05-26 18.990\n", "1987-05-27 18.990\n", "1987-05-28 18.940" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "\n", " :: Tail:\n", " Y\n", "T \n", "2015-05-08 61.615\n", "2015-05-11 61.025\n", "2015-05-12 62.905\n", "2015-05-13 63.415\n", "2015-05-14 62.735\n", "2015-05-15 62.210\n", "2015-05-18 62.295\n", "\n", " :: Correlation matrix:\n", " Y\n", "Y 1" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Oil on 1998-12-10 at $9.96 is our record LOW" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tmin = '1998-12-10'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "georet( oil[tmin:] )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "[10.97, 16.3, 32.66, 256]" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "May 2015: The geometric return since tmin is around 11% with volatility of 33% -- both very high relative to traditional assets." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The technical support for the 1998 uptrend on the chart is currently $45.40 (on 2015-01-29).** " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Oil trend since 1998-12-10" ] }, { "cell_type": "code", "collapsed": false, "input": [ "oiltrend = trend( oil[tmin:] )\n", "plotfred( oiltrend )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: regresstime slope = 0.0221070094873\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Next the detrended series using percentage deviation since tmin:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( detrendpc(oil[tmin:]) )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: regresstime slope = 0.0221070094873\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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2tI07P++8wgY96n7p1i17Wffu3odeL2bODDMUlvKVFDWCc+eGMdCWxYvTa8vF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\nteMXtGrHr+EkogU1+8VTSsv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adBVWiGq4D+LnfoMNwuPECyv5+usEk67Wlb4AXnwxvXus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\n1fYjEL220S8yT2MyZgz813+l20dqgy4i3xORNSL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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Oil prices can easily go +/- 40% off their statistical trend (about 1.2 std). \n", "\n", "From the +100% deviation on 2008-07-03, we see that our record HIGH of $144.63 was an one-time explosive blow-off. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# So discount 40% off the trend, \n", "# to illustrate statistical downside:\n", "tailvalue( oiltrend ) * 0.60" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "65.95000820390936" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Real oil prices" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# We change the sampling frequency to match inflation data:\n", "oilmth = monthly( oil )\n", "defl = getfred( m4defl )\n", "oildefl = todf( oilmth * defl )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( oildefl )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CDTfU1HWJBfWhQ2376NGw776p9Rc7228PbdpYJzRkrj/blvpXwBagpYhsA1oC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\nz/81Fy+2/PKOHTM7bsIE0zd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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the supportive 1998 uptrend is broken by the recent crash in prices. The level support from the 1990's is around \\$20 in real terms." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Oil price ex-USD" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we are interested in how oil prices appear outside the United States. A basket of trade-weighted currencies against USD helps our foreign exchange viewpoint." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# rtb is the real trade-weighted USD index,\n", "# computed monthly by the Federal Reserve.\n", "rtb = getfred( m4usdrtb )\n", "oilrtb = todf( oil / rtb )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# cf. \"oil\" in dollars\n", "plotfred( oilrtb )\n", "# ^in index units" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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+aMF7yBBbGi5+dGOyIB7G9yC+YdM9ccdxmoyJE2H48NzOaUzDZlUV9OhhPvgn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\n/CLCjjvCW29V8thjxaXPt5t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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "No big suprises here. Oil from world-ex-USD perspective looks very similar to the dollar-only perspective." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "BoW spread as a function of Oil" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Do the regression:\n", "stat2( bow['Y'], oil['Y'] )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: FIRST variable:\n", "count 7304.00000\n", "mean 0.71444\n", "std 5.75087\n", "min -22.18000\n", "25% -1.88000\n", "50% -1.25000\n", "75% -0.02750\n", "max 29.59000\n", "Name: Y, dtype: float64" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "\n", " :: SECOND variable:\n", "count 7304.000000\n", "mean 44.469187\n", "std 32.819087\n", "min 9.960000\n", "25% 18.948750\n", "50% 27.170000\n", "75% 68.925000\n", "max 144.630000\n", "Name: Y, dtype: float64" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "\n", " :: CORRELATION\n", "0.627241758244\n", "\n", "-------------------------Summary of Regression Analysis-------------------------\n", "\n", "Formula: Y ~ + \n", "\n", "Number of Observations: 7304\n", "Number of Degrees of Freedom: 2\n", "\n", "R-squared: 0.3934\n", "Adj R-squared: 0.3933\n", "\n", "Rmse: 4.4792\n", "\n", "F-stat (1, 7302): 4736.2260, p-value: 0.0000\n", "\n", "Degrees of Freedom: model 1, resid 7302\n", "\n", "-----------------------Summary of Estimated Coefficients------------------------\n", " Variable Coef Std Err t-stat p-value CI 2.5% CI 97.5%\n", "--------------------------------------------------------------------------------\n", " x 0.1099 0.0016 68.82 0.0000 0.1068 0.1130\n", " intercept -4.1732 0.0883 -47.28 0.0000 -4.3462 -4.0002\n", "---------------------------------End of Summary---------------------------------\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Does the price of oil influence the BoW spread? Not much, the correlation is about 63%. And linear regression does not show anything reliable. Maybe: *take 10% of the oil price and subtract $4 to roughly guess at BoW.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Concluding remarks\n", "\n", "The bottom of the barrel is in the region of \\$45.40 to \\$66 with respect to our weighted oil series. The lower range derives from the technical uptrend dating back to 1998, which is also the year of our record low. The upper range is an estimate derived from statistical trend deviation.\n", "\n", "A definitive break of the \\$45.40 mark would look downward at the $20 support in real dollars.\n", "\n", "Before taking a position in oil, carefully evaluate the premium of Brent over WTI.\n", "\n", "### Caveats\n", "\n", "- A complete analysis would include the impact of shale oil.\n", "\n", "- If ISIS becomes dominate over oil fields, expect some minor supply at half the market price." ] } ], "metadata": {} } ] }