From be09959d8ff3ca7476b9810a5645062c9c07da39 Mon Sep 17 00:00:00 2001 From: "Adriano rsvp.github.com" Date: Sun, 24 Jan 2016 19:06:58 -0800 Subject: [PATCH] qdl-COTR-positions.ipynb: Fix issue #2 by v4 and p6 updates Smooth metals by ema(). Use groupfun() to normalize. NEW Appendix 1 gives an algorithmic summary in a few lines of code. NEW Appendix 2 visualizes the chronological joint path of the positions indicators for bonds and equities by color heat map. --- nb/qdl-COTR-positions.ipynb | 908 ++++++++++++++++++++++++++---------- 1 file changed, 653 insertions(+), 255 deletions(-) diff --git a/nb/qdl-COTR-positions.ipynb b/nb/qdl-COTR-positions.ipynb index 0606adb..001bf27 100644 --- a/nb/qdl-COTR-positions.ipynb +++ b/nb/qdl-COTR-positions.ipynb @@ -6,10 +6,31 @@ "source": [ "# Market position indicators using CFTC COTR \n", "\n", - "We examine the CFTC **Commitment of Traders Reports (COTR)** for futures and options to derive indicators of market position among Asset/Money Managers. Our generalized formulation permits treating asset classes which include: gold, silver, US dollar, bonds, and equities.\n", + "We examine the CFTC **Commitment of Traders Reports (COTR)** \n", + "for futures and options to derive indicators of market position *among \n", + "Asset/Money Managers*. Our generalized formulation permits treating \n", + "asset classes which include: precious metals, US dollar, bonds, and equities. \n", + "Indicators may be post-processed to obtain further clarity, \n", + "for example, normalization and smoothing.\n", "\n", "Detailed explantory notes regarding the raw data can be found here:\n", - "http://www.cftc.gov/MarketReports/CommitmentsofTraders/ExplanatoryNotes We shall disregard the Legacy format, and focus on the data after 13 June 2006. Current data is released weekly on Fridays." + "http://www.cftc.gov/MarketReports/CommitmentsofTraders/ExplanatoryNotes \n", + "We shall disregard the Legacy format, and focus on the data after 13 June 2006. \n", + "*Current data is released weekly on Fridays* (for accounting \n", + "effective through Tuesday).\n", + "\n", + "We note the absence of strong linear correlations \n", + "among our asset class position indicators. \n", + "\n", + "Lastly, we compute a dataframe of normalized position indicators \n", + "which is useful for comparative study across asset classes \n", + "and the identification of overcrowded trades.\n", + "\n", + "*Shortcut to this notebook:* https://git.io/cotr \n", + "where **Appendix 1 gives an algorithmic summary in a few lines of code.**\n", + "\n", + "Appendix 2 visualizes the chronological joint path of the positions indicators for \n", + "bonds and equities by color heat map -- which could be useful for asset allocation." ] }, { @@ -18,13 +39,15 @@ "source": [ "*Dependencies:*\n", "\n", - " - Linux, bash [not crucial, cross-platform prefered]\n", - " - Python: matplotlib, pandas [recommend Anaconda distribution]\n", - " - Modules: fecon.py\n", + "- Repository: https://github.com/rsvp/fecon235\n", + "- Python: matplotlib, pandas\n", " \n", "*CHANGE LOG*\n", "\n", - " 2915-08-31 Simply use fecon.py to generally access various modules.\n", + " 2016-01-23 Fix issue #2 by v4 and p6 updates.\n", + " Smooth metals by ema(). Use groupfun() to normalize.\n", + " Add Appendix 1 and 2.\n", + " 2015-08-31 Simply use fecon.py to generally access various modules.\n", " 2015-08-25 Update tpl to v4.15.0812. Add silver COTR,\n", " and the class of precious metals w4cotr_metals.\n", " 2015-08-09 Change of variable names for clarity.\n", @@ -37,77 +60,68 @@ "metadata": { "collapsed": false }, + "outputs": [], + "source": [ + "from fecon235.fecon235 import *" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "\n", - " :: TIMESTAMP of last notebook execution:\n", - "Mon Aug 31 22:28:38 PDT 2015\n", - " :: IPython version:\n", - "3.2.1\n", - " :: pandas version:\n", - "0.16.2\n", - " :: Working directory (set as $workd):\n", - "/home/yaya/Dropbox/share/git/nous/fecon235/nb\n", - "\n" + " :: Python 2.7.11\n", + " :: IPython 4.0.0\n", + " :: jupyter 1.0.0\n", + " :: notebook 4.0.6\n", + " :: matplotlib 1.4.3\n", + " :: numpy 1.10.1\n", + " :: pandas 0.17.1\n", + " :: pandas_datareader 0.2.0\n", + " :: Repository: fecon235 v4.15.1230 develop\n", + " :: Timestamp: 2016-01-25, 02:58:19 UTC\n", + " :: $pwd: /media/yaya/virt15h/virt/dbx/Dropbox/ipy/fecon235/nb\n" ] } ], "source": [ - "# NOTEBOOK v4 settings and system details: [00-tpl v4.15.0812]\n", - "\n", - "# Assume that the backend is LINUX (e.g. Ubuntu running bash shell):\n", - "print '\\n :: TIMESTAMP of last notebook execution:'\n", - "!date\n", - "print ' :: IPython version:'\n", - "!ipython --version\n", - "\n", - "# Automatically RELOAD modified modules:\n", + "# PREAMBLE-p6.15.1223 :: Settings and system details\n", + "from __future__ import absolute_import, print_function\n", + "system.specs()\n", + "pwd = system.getpwd() # present working directory as variable.\n", + "print(\" :: $pwd:\", pwd)\n", + "# If a module is modified, automatically reload it:\n", "%load_ext autoreload\n", "%autoreload 2\n", - "# 0 disables autoreload.\n", + "# Use 0 to disable this feature.\n", "\n", - "# DISPLAY options\n", + "# Notebook DISPLAY options:\n", + "# Represent pandas DataFrames as text; not HTML representation:\n", + "import pandas as pd\n", + "pd.set_option( 'display.notebook_repr_html', False )\n", + "# Beware, for MATH display, use %%latex, NOT the following:\n", + "# from IPython.display import Math\n", + "# from IPython.display import Latex\n", + "from IPython.display import HTML # useful for snippets\n", + "# e.g. HTML('')\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", "from IPython.core import page\n", "get_ipython().set_hook('show_in_pager', page.as_hook(page.display_page), 0)\n", "# Or equivalently in config file: \"InteractiveShell.display_page = True\", \n", "# which will display results in secondary notebook pager frame in a cell.\n", "\n", - "# MATH display, use %%latex, rather than the following:\n", - "# from IPython.display import Math\n", - "# from IPython.display import Latex\n", - "# Generate PLOTS inside notebook:\n", - "%matplotlib inline\n", - "\n", - "import pandas as pd\n", - "print ' :: 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", - "print ' :: Working directory (set as $workd):'\n", - "workd, = !pwd\n", - "print workd + '\\n'" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "from fecon import *" + "# Generate PLOTS inside notebook, \"inline\" generates static png:\n", + "%matplotlib inline \n", + "# \"notebook\" argument allows interactive zoom and resize." ] }, { @@ -116,9 +130,14 @@ "source": [ "## COTR example: Gold\n", "\n", - "To get an idea of what's contained in a Commitment of Traders Report, we first look at an example from the commodity futures market. Financial futures have a different format since the notion of a \"Producer\" is not entirely appropriate (though dealers may produce derivatives which may rely on the futures market). \n", + "To get an idea of what's contained in a Commitment of Traders Report, \n", + "we first look at an example from the commodity futures market. \n", + "Financial futures have a different format since the notion of a \n", + "\"Producer\" is not entirely appropriate \n", + "(though dealers may produce derivatives which may rely on the futures market). \n", "\n", - "The the latest data is downloaded via Quandl as a pandas dataframe. The relevant functions are found in the yi_quandl module." + "The latest data is downloaded via Quandl as a pandas dataframe. \n", + "The relevant functions are found in the yi_quandl module." ] }, { @@ -133,35 +152,35 @@ "text/plain": [ " Open Interest Producer/Merchant/Processor/User Longs \\\n", "Date \n", - "2015-08-25 661565 36280 \n", + "2016-01-12 551508 39420 \n", "\n", " Producer/Merchant/Processor/User Shorts Swap Dealer Longs \\\n", "Date \n", - "2015-08-25 108621 75091 \n", + "2016-01-12 89684 47977 \n", "\n", " Swap Dealer Shorts Swap Dealer Spreads Money Manager Longs \\\n", "Date \n", - "2015-08-25 71124 139946 125505 \n", + "2016-01-12 44972 118408 85795 \n", "\n", " Money Manager Shorts Money Manager Spreads \\\n", "Date \n", - "2015-08-25 81234 57366 \n", + "2016-01-12 84893 56205 \n", "\n", " Other Reportable Longs Other Reportable Shorts \\\n", "Date \n", - "2015-08-25 67899 35454 \n", + "2016-01-12 75149 27804 \n", "\n", " Other Reportable Spreads Total Reportable Longs \\\n", "Date \n", - "2015-08-25 123161 625248 \n", + "2016-01-12 87277 510231 \n", "\n", " Total Reportable Shorts Non Reportable Longs \\\n", "Date \n", - "2015-08-25 616905 36317 \n", + "2016-01-12 509243 41277 \n", "\n", " Non Reportable Shorts \n", "Date \n", - "2015-08-25 44660 " + "2016-01-12 42265 " ] }, "execution_count": 3, @@ -170,12 +189,12 @@ } ], "source": [ - "# We first focus on GOLD:\n", + "# First download latest GOLD reports:\n", "cotr = cotr_get( f4xau )\n", "# ^ = 'GC' currently.\n", - "# Show column labels and only the last data point:\n", - "tail( cotr, 1 )\n", - "# The entire dataset is actually in memory." + "\n", + "# Show column labels and only the last report:\n", + "tail( cotr, 1 )" ] }, { @@ -189,8 +208,8 @@ "- Generally non-directional traders (usually with hedged positions): Producer/User, Swap Dealer, and Dealer.\n", "- Generally **directional traders**: *Money Manager* (commodities), Leveraged Funds and *Asset Manager* (financials). Leveraged Funds appear to take very choppy short-term positions, whereas Asset Manager will show a longer-term positional narrative.\n", "- Non-directional trading by a Money Manager, Asset Manager, and Leveraged Funds is categorized separately under Spreads.\n", - "- \"Non reportable\" traders are small players trading contract sizes under CFTC reporting thresholds -- generally, noise traders categorized as speculators.\n", - "- **COTR is released weekly on Friday.**" + "- \"Non reportable\" traders are small players trading contract sizes under CFTC reporting thresholds -- generally, noise traders categorized as **speculators**.\n", + "- **COTR is released weekly on Friday** (for accounting effective through Tuesday)." ] }, { @@ -199,7 +218,12 @@ "source": [ "### Parsing out positions\n", "\n", - "To characterize informed market direction we focus on the directional traders who are trading in large size which must be reported to the CFTC. Note that their *Longs* do not necessarily equal their *Shorts*\" since the counter-parties may be other players in the market, e.g. hedged producers, spreaders, or small uninformed traders." + "To characterize *informed* market direction we focus on the directional traders \n", + "who are trading in large size which must be reported to the CFTC. \n", + "\n", + "Note that their *Longs* do not necessarily equal their *Shorts*\" since the \n", + "counter-parties may be other players in the market, \n", + "e.g. hedged producers, spreaders, or small uninformed traders." ] }, { @@ -222,7 +246,7 @@ }, "outputs": [], "source": [ - "# diff in number of contracts:\n", + "# difference in number of contracts:\n", "lsdiff = todf( longs - shorts )" ] }, @@ -235,9 +259,9 @@ "outputs": [ { "data": { - "image/png": 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K49veZgrhkktse7E1hfYlqmU5FApIQ8egdFLLoa0NTjwRXn45/jhXMsPVaTrm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\nttbtNJ6I/Y47mmhO6TOYaE7RfCCe047ymTOnBAWYWnAYlhn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ALcAyYLkx5nFv+63AcBFZBlwKWOtkE+rimgfMBa4JZ0KVmrDJ2JU4WaLpqbIUqyx66n0p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\nBLafC9wUOOZIb7ka2OAtnwPcHPjMr4C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SSfGnCE4SswhaFrZUyrp1mR2ufDGL1lb9H/76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\n3+pqeRwOh6MrGDoUTjxRa9iBKgsbp7jwQp0XI0yviVmISB/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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -252,7 +276,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The preceding chart shows the difference between the number contracts long versus short. It is somewhat useful, but we would prefer a **scale-free [0, 1] measure** which reveal position: 0 for bearish, 0.50 for neutral, and 1 for bullish. This will also allow us later to combine readings to show position in a sector, for example, the US dollar versus foreign currencies." + "The preceding chart shows the difference between the number contracts long versus short. \n", + "It is somewhat useful, but we would prefer a **scale-free [0,1] measure** which \n", + "reveal position: 0 for bearish, 0.50 for neutral, and 1 for bullish. \n", + "\n", + "This will also allow us later to *combine* readings to show position in a class, \n", + "for example, the US dollar versus various foreign currencies." ] }, { @@ -276,9 +305,9 @@ "outputs": [ { "data": { - "image/png": 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t97yVl9nTI6KkukVHtU16e2V7onCdaJR4f/e78t8pGDqjMu9cPNxx47J/6Pny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\nFBF9lYjuI6IfEVHTMMZ1MhFdR0T3ENHdRPR9IjpwGONZSES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emG3mTPHCJ02KaYfyVUKsJhaprpYLfJie+Xe/KzNJqbuUQvCGOzulQ5a9h202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\nPzQ2+svMC9ozLykBzjpLhqZ0+2IPOgiYPj39fQw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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -286,7 +315,7 @@ } ], "source": [ - "# Interpret as prob( bullish Manager ):\n", + "# Could interpret as prob( bullish Manager ):\n", "plot( z_xau )" ] }, @@ -299,9 +328,9 @@ "outputs": [ { "data": { - "image/png": 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MGHjhher7v/02QAUVFfDHPybr+xSznEqlGDNmDMC39rJGVDXnBygHpgbruwLz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\nlcnPf27hbf5n5TQ2kydHk43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l1aOOsvUVK6wNrE5Vdfz4SM+NNzaeHsdxmpbAdma11/X1\nyU8HBojIRiIiwKHANOBRIExKOxSYEKxPBAaLSJmIdAd6ApPree5EE6bqDedr/eUvLS98OKNTYzBw\nIHz0EXz3u1E0TejC6dTJBkeB5aQPKaslxNJxnNKhvj75t4FxwP+Ad4LqvwOjgcNE5EPg4KCMqk4D\nHsBuBI8Dw4O7T6OS+XjbFMyeDVdeaSNQ33rLsjbGn6YaQ5MI9Ohh62GumnAw1PDh0YvXcIJwiIx8\nMa5RbSRNDyRPU9L0QPI0uZ6IesfJq+p1qtpXVXdV1aFqkTNfq+qhqtpLVQ9X1cWx7Uep6o6q2ltV\nnyiM/GSxcKGl9e3WzcrFmPc0PtE3WNTM3/9uU/PFXwjH53F1HKd08dw1BaR3b/jgA/jPf2zQUTHY\nZRebui+8jDfcABdeaIOdnn462u6NN2DPPYuj0XGcwuK5a5qIMFSxKVLy1kS2njykG3iIJuV2HKe0\nKWkj31R+sPnz4YILYMECmDYtetFZDE2ZA7GyDXIaP95GvDaFnrqSND2QPE1J0wPJ0+R6IjyffAHo\n0iVa7927eDrADPiaNVE5m5H3/PGO03Jwn3wDWbs2CleE7Lnbi8nEiXD88VF58eLGSXfsOE7xcJ98\nIzJrli1PPLFxko81lDB9wU+C8chu4B2nZVHSRr4p/GCDBtny/vstA2Qumto39+WXtsycxCTEfZe5\nSZqmpOmB5GlyPRHuk28gH30EI0cWW0XNHH205bQ//XTYY49iq3Ecp6lxn3wDeP11GDDAYuM9JNFx\nnGLhPvkcLF9uE3osWxalAMiHt9+Gn/7UDbzjOMmlpI18Nj/Y+PHw8svpdRtvDEceCR06WN6Zmnjk\nkfT8L3PnRikMGqKpmLie3CRNU9L0QPI0uZ6Ikjby2Tj5ZBg1KiovWZLeHqSgr8Y778AJJ8ATT9jg\nJ7CJubt2bRydjuM4haBF+eQ//BB22smyNq4PZpc96CBLDxxmbwRz34wbB/vuC9/5jtVNmADf+160\nzapV1vP/97/huOMaTbLjOE5Omp1PvqoK/vnPwh5z1iwz8GADllavNmOfStkE1ytWWJTMBhtYet6z\nzrKoFLC5UeMGHiy5V1VVFELpOI6TRBJp5KdNs8E7a9bAzJn1P07oB1u9Grp3T08cFhpwgO23t+H/\nV1xh7pyxwVTkr74K559v7p2997Ybz/e+ZzeLd9+Fs8+u++Qb7iusnaTpgeRpSpoeSJ4m1xORSCM/\ne7YtL70UevaEhx/Ob7+VK+3FaqbHp1MnWw4eHI1Qvegi87EvWxZNsAHWm+/b19bfew9uvBGuvhpa\ntbIbwEMPwZtv2id+o3Acx0kiifTJjx9vBnWjjcxwd+likSy5GDcOhg6NcqX/6lcwejS0a2ftU6da\nLzzsfX/8sfXws7FunfXib7nFyh99FM2+5DiOkySanU8+TJe7cqUt+/e3pQhMrmVm2KHB7LJHHQVL\nl9rUe3fdZXXr19uEGmEysTFjajbwAK1b2/6ffAIzZriBdxyneZJII3/WWdH6scfCf/8bZVJ8553q\n2z/+uN0AQhYsgN//HiDFOedYXbx98eLohpCL8nKbr7VQuK+wdpKmB5KnKWl6IHmaXE9Eg4y8iHQU\nkX+LyPsiMk1E9hGRTiLylIh8KCJPikjH2PaXiMgMEZkuIodnO+a0abb8xS9secMNtpw40ZZhVsWQ\nNWus5x7y6qu2vP76qO5Pf0rfxzMxOo7TUmiQT15ExgLPq+pdIrIB0B64DFioqteJyG+AzVR1hIj0\nAe4F9gK2Bp4Geqnq+tjx9KablGeesd78kUfagKP4qNLbboMzz4zKs2bBwIG2fscdcMQRUa+9vNza\n169P78k7juOUEo3ikxeRTYGBqnoXgKquVdVvgOOAIAiRscAJwfrxwHhVrVLVWcBMYO/M486da0m/\nwh57167mE3/jDRgyBBYtst772rXWfu21MGeOReQccUR0jC++iGZpcgPvOE5LpSHumu7AAhH5h4i8\nJSL/JyLtgc6qGgz8Zz7QOVjvBsyJ7T8H69GnsWoVtG1rvfOHHrK6HXe0aJm99oJ58yxCpk0bWLgQ\nnnuuurAuXezm8JvfpFi9ugHfsBFwX2HtJE0PJE9T0vRA8jS5noiG5JPfANgDOEdV3xCRG4ER8Q1U\nVUWkNn9QtbaJE4fRu3c533wDHTt2JJXqR0VFBQALF6YYPx4WL7byllumAPjXv6wcXshw+8ogEU1Y\nzmwvRrmystL1NCM9cVyPl5NSTqVSjBkzBoDy8nJqo94+eRHpAryqqt2D8v7AJUAP4CBVnSciXYHn\nVLW3iIwAUNXRwfaTgJGq+nrsmArKj38M99xT/ZxPPw2HHVa9/uWXYb/96vU1HMdxmj2N4pNX1XnA\nbBEJs6kfCrwHPAqEAYpDgQnB+kRgsIiUiUh3oCeQNer9vPOyn/PQQ7PXd+lSZ/mO4zgtgobGyf8S\n+N/MuvsAAAmnSURBVKeIvA3sBvwBGA0cJiIfAgcHZVR1GvAAMA14HBieLeVkjx7mf6+NBx+M1ocM\ngW23zb5d5uNtEkiaJteTm6RpSpoeSJ4m1xPRoDleVfVtLCQyk6x9blUdBYzK1hYyZEiuc0brP/wh\n3HtvDpGO4zgtmETmrsmHn/wELr44yvfuOI7TUqnNJ99sjbzjOI5jNLsEZYUiaX45SJ4m15ObpGlK\nmh5InibXE1HSRt5xHKel4+4ax3GcZk6Lddc4juO0dErayCfNLwfJ0+R6cpM0TUnTA8nT5HoiStrI\nO47jtHTcJ+84jtPMcZ+84zhOC6WkjXzS/HKQPE2uJzdJ05Q0PZA8Ta4noqSNvOM4TkvHffKO4zjN\nHPfJO47jtFBK2sgnzS8HydPkenKTNE1J0wPJ0+R6IkrayDuO47R03CfvOI7TzHGfvOM4TgulQUZe\nRFqLyBQReTQodxKRp0TkQxF5UkQ6xra9RERmiMh0ETm8ocLzIWl+OUieJteTm6RpSpoeSJ4m1xPR\n0J78r7CJuUMfywjgKVXtBTwTlBGRPsBJQB9gEPBXEWn0p4jKysrGPkWdSZom15ObpGlKmh5InibX\nE1FvQysi2wBHAXcAoS/oOGBssD4WOCFYPx4Yr6pVqjoLmAnsXd9z58vixYsb+xR1JmmaXE9ukqYp\naXogeZpcT0RDetN/Bi4G1sfqOqvq/GB9PtA5WO8GzIltNwfYugHndhzHcfKgXkZeRI4BvlTVKUS9\n+DSCMJnaQmUaPYxm1qxZjX2KOpM0Ta4nN0nTlDQ9kDxNrieiXiGUIjIKOAVYC7QFNgEeAvYCKlR1\nnoh0BZ5T1d4iMgJAVUcH+08CRqrq6xnH9fhJx3GcelBTCGWD4+RF5EDgIlU9VkSuA75S1WsDw95R\nVUcEL17vxfzwWwNPAzt6ULzjOE7jskGBjhMa69HAAyLyU2AWcCKAqk4TkQewSJy1wHA38I7jOI1P\noka8Oo7jOIXFR7w6juOUMCVh5EXkzyKyf7F1xBGRzUVkpIj8TERaichlIvJfEfmjiGxWJE0Hi8it\nIjJRRB4WkdEismMxtAR6BonI30Tk0eDzNxEZVCw9tSEilxfpvINE5KciUp5Rf3qR9LQRkZ+Ev5OI\nDBWRvwQas774a0mIyBYZ5VNE5BYR+UWxrk9JuGtEZAHwKbAVcB828GpKkTU9DryDRR7tDEwF/gUc\nBuymqsc3sZ7RQBdsJPIJwCfAh8BZwDWq+kAT67kJ6AmMAz4PqrfBorZmquq5TaknFyIyW1W3beJz\nXgN8F3gLOBa4SVVvDtqmqOruTaknOO+dwKZAGbAS2BB4EDgG+ExVL25qTZmIyLOqenCRzv3t7yIi\nvwUGYkEnxwKzVfX8JtdUIkZ+iqruLiK9gMFYCoUNsIs7XlU/LIKmt1X1O8Hd+3NV7ZbZ1sR63lXV\nXYL1DYAXVHW/4KniJVXt28R6Zqhqzyz1AsxQ1SZ/whCRpbU0b6SqhQpUyAsReRfYXVWrgjxQ44EP\ngPOBt4pk5N9T1b4i0gYb8NhVVVcHf1NvqepuTaxnKhb4Ee8l98I6MFoEPXEjPwUYqKrLgus1Jfwf\nbEpKwl0ToqofquqVgcE6EdgIeLxIclqJSCdgW2BjEekO3z7OFeO6rxORzYP1rUMNqrqoCFoAVolI\nttQWe2M9xGKwCOipqh0yP8DcIuhprapVAKq6GOsNboI9EZYVQQ9AqKcKeENVVwfltTTBAMcsfII9\nJZ+IPU0cC3wZrB9XBD0bicgeItIfaKOqy+Db67WuCHoKFkKZOFT1beBtgiRpReAGYAZmOIYAT4vI\nJ0Bv4NIi6BkFvCUiM4CdMDcNIrIVdp2ammHAbSLSgSjlxTbAkqCtGNwNbAfMy9I2vom1AHwsIgeq\n6vPwrSE9XUSuBr5fBD0A80RkY1VdpqpHhJXB4MfVTS1GVY8Tke8Dfwf+pKqPiMhaVf20qbUEzAOu\nD9YXiEg3Vf0i6NxVFUNQqbhrOqhqbY/aRUFEyoC1qrpeRELf/MequqBIejYHemDukERkcAqMQ5jH\n6HNVLUaPOZGIyEYAqlrtyUZEtlHVOdX3Kg4i0h5or6pfFun8GwNXYX/fe6pqonJjiUhrYENVXdHk\n5y4FIw8QpC4OR9Qq9jJvcjEHXQX+5b2xHmrRNQV69sESxlFsPTUhIr1VdXqxdcRJmqak6YFkaBKR\nfsAAVf1bMXVko1jXpySMvNgkJH/FUhjHH/17YqNrn2jpmpKmpzaKEcmSi6RpSpoeSJ6mJNx04hTr\n+pSKT/5m4NAgV/23BC87H8f84C1dU6L0iMgttTR3rKWt0UiapqTpgWRqqoUnsXcsTUYSr0+pGPnW\nRLHWcT6neN8xaZqSpmcYcBH2si7+OCnAyUXQA8nTlDQ9kDBNOYxqMQYdDiNB1wdKx8jfBbwhIuOJ\nXBHbYjHzd7mmROr5H/Cuqr6c2SAiVzS9HCB5mpKmB5KnaRjJMqpJuz6l4ZOHb+eRPZ70l4oTVXWa\na0qenmAMwapiRBvURNI0JU0PJE+TiDwH/LYGozpLVcubWE+irg+UkJF3HKflkUSjmjRKYsSriHQU\nS7Y1XUQWicjXwfroYDh4i9fkepqfpqTpSaImVf06SQY+adcHSsTIAw9gI0srgE6q2gk4CFgctLkm\n19McNSVNT+I0JdCoJur6QIm4a0TkQ1XtVde2lqTJ9TQ/TUnTk0RNIvIklll1LDBfVVVsFPVQ4GBV\nPbyJ9STq+kDp9OQ/FZFfi0jnsEJEuojIb4DPXJPraaaakqYniZrKVfVaVZ0XjtxW1bmqOhooL4Ke\npF2fkjHyJwFbAM8Hj2yLgBSwOcE8s67J9TRDTUnTk0RNSTOqSbs+peGuARCRnbG8Na/Hk5WJyCBV\nneSaXE9z1JQ0PUnTJBZdMwJLKxwa+vnARGC0qn7dlHoCTYm5PgCoarP/AOdikylMwGaIOiHWNsU1\nuZ7mqClpehKsaWfgUKBDRv0gvz5aMkb+XWDjYL0ceBM4r6gXNmGaXE/z05Q0PUnUlDSjmrTro6ol\nk9ZANJqBZZaIHAg8KCLbkz4tWEvW5Hqan6ak6Umipl8A/dWm2CsPtJSr6o1F0ALJuz4l8+L1S7E8\n0gAEF/kY7GVHk87xmGBNrqf5aUqaniRqSjOqwIHAkSLyZ4pjVJN2fUrjxauIbAtUqeq8jHoBvquq\nL7V0Ta6n+WlKmp4kahLLXXO+qlbG6toAdwI/UdUm7cgm7fpAiRh5x3FaJkk0qknDjbzjOE4JUyo+\necdxHCcLbuQdx3FKGDfyjuM4JYwbecdxnBLm/wEZ/93R9JEZugAAAABJRU5ErkJggg==\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -319,50 +348,71 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "GOLD: We can definitely see a \"raging bull\" in action through 2013 -- our indicator approaches 1.0 frequently! Thereafter, there are four major efforts to re-ignite the bull market through mid-2015, but without much success as the price creeps downward. July 2016 sees a breakdown below the 0.6 positional support, to under the 0.5 neutral mark -- which means more shorts than longs among managers. " + "GOLD: We can definitely see a \"raging bull\" in action through 2013 -- \n", + "our position indicator approaches 1.0 frequently! Thereafter, there are \n", + "four major efforts to re-ignite the bull market through mid-2015, \n", + "but without much success as the price creeps downward. \n", + "\n", + "July 2016 sees a breakdown below the 0.6 positional support, \n", + "to under the 0.5 neutral mark -- which means more shorts than longs among managers. \n", + "The Fed raises rates on 2015-12-16 (first time in almost a decade), \n", + "and the indicator settles down below 0.5 for the start of 2016." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Generalization to Asset Classes" + "## Generalization to Asset Classes\n", + "\n", + "### Following function will compute position for commodities and financials:\n", + "\n", + "*It returns our scale-free measure on [0,1] such that comparable contracts \n", + "can easily be averaged, and thus interpreted.*" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 10, "metadata": { "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "\u001b[1;31mSignature: \u001b[0m\u001b[0mcotr_position\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfutures\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'GC'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mSource:\u001b[0m\n", + "def cotr_position( futures='GC' ):\n", + " '''Extract market position from CFTC Commitment of Traders Report.'''\n", + " cotr = cotr_get( futures )\n", + " # Report for both futures and options requested by implicit \"FO\".\n", + " #\n", + " # For directionality we use these categories:\n", + " try:\n", + " longs = cotr['Asset Manager Longs']\n", + " shorts = cotr['Asset Manager Shorts']\n", + " # \"Leveraged Funds\" for FINANCIALS appear short-term, whereas \n", + " # \"Asset Manager\" takes longer term perspective.\n", + " except:\n", + " longs = cotr['Money Manager Longs']\n", + " shorts = cotr['Money Manager Shorts']\n", + " # \"Money Manager\" for COMMODITIES. \n", + " # The report is structured differently than financials.\n", + " #\n", + " # _Scale-free between 0 and 1 indicating bullishness.\n", + " return tools.todf( longs / (longs + shorts ))\n", + "\u001b[1;31mFile: \u001b[0m~/Dropbox/ipy/fecon235/lib/yi_quandl.py\n", + "\u001b[1;31mType: \u001b[0mfunction" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "### This function will compute position for commodities and financials:\n", - "\n", - "\n", - "```\n", - "# See yi_quandl.py for further details:\n", - "\n", - "def cotr_position( futures='GC' ):\n", - " '''Extract market position from CFTC Commitment of Traders Report.'''\n", - " cotr = cotr_get( futures )\n", - " # Report for both futures and options requested by implicit \"FO\".\n", - " #\n", - " # For directionality we use these categories:\n", - " try:\n", - " longs = cotr['Asset Manager Longs']\n", - " shorts = cotr['Asset Manager Shorts']\n", - " # \"Leveraged Funds\" for FINANCIALS appear short-term, whereas \n", - " # \"Asset Manager\" takes longer term perspective.\n", - " except:\n", - " longs = cotr['Money Manager Longs']\n", - " shorts = cotr['Money Manager Shorts']\n", - " # \"Money Manager\" for COMMODITIES. \n", - " # The report is structured differently than financials.\n", - " #\n", - " # _Scale-free between 0 and 1 indicating bullishness.\n", - " return tools.todf( longs / (longs + shorts ))\n", - "```\n", - "\n", - "*Our scale-free measure on [0,1] has the advantage that comparable contracts can easily be averaged, and thus interpreted.*" + "# ? or ?? is useful to investigate source.\n", + "cotr_position??" ] }, { @@ -371,21 +421,23 @@ "source": [ "## Precious metals\n", "\n", - "Let's first take a look at the COTR position for silver (spot symbol XAG). Graphically it is quite similar to gold, so we will also examine their statistical correlation." + "Let's first take a look at the COTR position for silver (spot symbol XAG). \n", + "Graphically it is quite similar to gold, so we will also \n", + "examine their statistical correlation." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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aDS/jBviNT93u2rXpaYdelLeaticRBHnr3woBnt6929g2kWhp4es6CuQdFLZu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\nEiFW7in/8Vtr4Wy13UQPNySSJgHYfslIRNKJtp986bvqR9JRwFG2tzf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tCS/PHLCUpN92nIazU1FdzUTd2cnbyyZzf2UOWLGpZC4Jzv4UoyJMhx+7Mi8p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\ng+7kKJ8y3FImw+aZA0y6QbJZVDKXOeVOqK/n/V1SYvLMQ0O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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -400,7 +452,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": { "collapsed": false }, @@ -414,23 +466,33 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "COTR positions for gold and silver are very correlated (approximately 77%), but a linear regression model is not satisfactory. This means they each contain some information that the other lacks. But since the market sentiment regarding both are similar, it is useful to combine their signals as precious metals.\n", + "COTR positions for gold and silver are correlated (approximately 77%), \n", + "but a linear regression model is not satisfactory. This means they \n", + "each contain some information that the other lacks. But since the \n", + "market sentiment regarding both are similar, it is useful to \n", + "combine their signals as precious metals.\n", + "\n", + "#### TECHNIQUE: compute the mean of indicators for an asset class\n", "\n", - "We use the futures and options COTR for contracts on both gold and silver, then average their position indicators. We can run this procedure by retrieval of a variable called w4cotr_metals (where w4 tells us that it's weekly series)." + "We use the futures and options COTR for contracts on both gold and silver, \n", + "then average their position indicators. We can run this procedure by \n", + "retrieval of a variable called w4cotr_metals \n", + "(where w4 tells us that it's weekly series). \n", + "See the yi_quandl module for details." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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kirE6R52d0Yt3f7//OxVVzhmn35kiypj+8Y/c73KLdY5KVrzjhJpN/cgj/W2v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\nJEl6yL/yq/5PwAPrvQAAAABJRU5ErkJggg==\n", 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urPnWCSuRPN/REa9nvmuXfEZ7Nho3dXXyGe1iPnMm8JWviFCGEfPLL7fGXA+6\nbyXmzNL3YOZMvUA7yxLV+3fuzJxQOii7dskdQhDs58FwY+3avXc2pZIUc52P1NubPqlvPlixAjj5\n5MxY3GhutsZn2bBB/tsbBQ8/XCZEiIo6LmoMcyd2y8PLv66uljuIbGwWu2euGlTjsG28IAKOO05G\nILRz9NEJ7NiR2YXei5tvDp6ZA+m+eUeHCOu4cZmZeSKRyGj8BOQit88+Yo9FIUpmXqresBdr1mQv\n5qV6XEpSzHWceWY8WW0YVq7Ui6Ybzc3Wj1VNNmy3Ho44Qj/xclCSSflRL18uY5U4cVaWuFke1dVy\n56BrIA1LdbXsM4rFEoVnn830ulVbgVtlSRzYfWhV3eTWRV+XmQMyJoxudqQgmMxciEPMS5WSFHOd\nj7R5czzzKIZh5Upg8+bMWNywi/ma1CAJ9oz1/e8HXnst+ryhl16axL/+JV3RdWIeJjPfsMF9jPEg\nOD3zfGTmbixfnsSOHdEaYINit1lUj2Bdo6byzOMWc+OZA/Pny8TeO3dmN/duMikdsIrhgrdXeuY7\nduR28uTvfU9u43ftkuX+fhnNz622V0dLi2RtgNQhd3cDTz1lCUxzs1gEL78cLrbeXhl/o6NDLmpx\nZObr12cn5vZ99vXlLzPXoUoxo5RGBsUu5mqAM7cu+roGUCC/mflwrGa57jr5P3Jk9tn5E0/E02aU\nT0pSzHU+Ui7F/PHHgXvvlR+Bmh9STS5wyimZsbihMvP995cf/J13AjfckC4wxx4b3jf/1a/Eb+/v\nl67ry5fLOCVOwmTm2Yq5s868kJn5KadIF/ZcxmD3zLdulWoYnc3i5pkDIub2Ke7CYDxzOW+fe06G\nMs5GzBOJxJ6G6EJf9PY6z1xNtJArMX/+eeDKK4Hjj5fGxb4+EcywwtDcLPZFQ4PUpz/6qGRU9oy1\nvj787Z3dB16/XrI7nZdfiMy8okLuaLq7C5eZK7sjl2Ju98y3bZNj51Y77maznHIK8Nhj0dp+jGcu\nAt7c7N3bOigyblF2bVj5piTF3Okj9fZa42/ngldfBY45BjjgAOnY88ADMtVZdXU4T0vZLNXVcsKp\nOR/tAmMX3KBYNe5JvPaaNADqhDNoZt7UJA2GcXjmKr7t2wuXmb/+ejIvYq4yc7uYv/028MlPWut5\neebTpwNz5kitdFiiiPlw88y3b49HzJPJ5J4Lc6HFfK/zzFX2kwsx7+4WP/qoo0TMV6yQTgnt7eEz\nzeZmuQV64VImAAAgAElEQVSvqZFsWpUp2gXGLrhBUScekTQA6fxyIHhmrt4fR2au9rt9e+Ey84oK\nsSC2bctPA6gS89NOA158Ebj77vT6cTcxB6JPUhHFZgGA228Hfv/78PsrRlRm3tSUfTGEvTKpVChJ\nMXf6SKqRKW4xX7cOuOoq4OyzpVFl6lQR8yVLLGEI42k1N8t/Jebt7bJsFxjVYBgGJSLTp4s37Cbm\nQTPzA1Mj7cThmav9BpktKFckEgk0NEi5ZT48823bpPftAQeIHafm4VSxuDWAAtG79UfJzBOJBBYu\ntCbCLiTZeuaDgyLADQ1WOWw2sezcKRcF1R+kUOx1nnmuMvOnn5bRDH/0I1meNElKChcvFlsnbJan\nxFGJuerk5MzMw36OnTul0efDH5blq67Srxc0Mz/gAPmvLj7ZUlUl1sGBeR2OLZ3GRrG18umZA/J/\n9GikxpIX3BpAgehiHjUzb2+XzlSljoxVL72pKyvTx8mJws6dUqhQaDEPQ8HEfMcO4A9/iPZep4+U\nKzHv6ACuuEJEHAD23VcyrbWp6TnCeubOzFxhF9UoNktPD3D99cBppyUxOJg+BKydoJm5ajx1zicZ\nBqdnvmhRZs/MfJFMJjFypNzB5dMzV4waZd2FeXnmQH4z82RqwpBimEYuW89cWSyAHAdVQhw1FiXm\nUXvkxkVJeOYvvABcdlk8ApwrMVcNKorWVsnIVQ/DsJl5TY2caDU16T/mbBtA7cOpeo19EiYz37gx\nXAxeVFfLKIKFEnMg/UKaC/zE3J6Z+4l5lAG3wmTmtbVWZr5liwihGvitVIlTzAH5TR1wgMnMPVEH\nR90Gqa7jYbD7SL29wJe/LI9zkZnbxZxIevYdc4wsh/XMieRHnovMvLbWPxa5k5COSn4daMaODReD\nE3ssVVUyEqOu9j0fJBKJPXOx5qoBVHnmfX3i39o9cbuYB/HMOzvDTx4RNjNfu1bG4m9vlxLZIJN/\n5JJsPXN74pWtmCvPfMIEa1yhQlHUnvn73y/d4NVtJ5Dd1e/NN61JHbK9GjvZvj1zVvhJk9LFPCzN\nzfI+u5jHkZm7ZXp2qqqk5+njj+e2a7tuv/vuW9gedep7zLVnvnGjXAjtI1a2tgbPzOvrgYcfDj+G\nTJjM/KSTJIG6//78D4GRK7q6rPH548rM6+rkuwubbBaKvIv55s0i3lu3yoQB73tf+F5Wdh/J3v05\n15k5AHzmM9LQWF4e3jMHZHv2zLyyMr7M3C8WtZ/ubvnxBxmDPSr2WKqrC2uxJJPJvIj59u2SWEye\nnP6aPTNXfqyXzRKFMJl5a6uUTf71r8loO8sB2Xrmu3ZZ53NcnnltbfaVMX5s2uQ91HKY45JFE1d4\n1C3L5s2SmY8dKwcsmy6zbW0ys8i0adkPSu9El5lfeqn8V190WJw2yz775DczB+QiVVWVOd55rqiq\nCje6ZC5oapJKh6DZa1jq6mSWmwULgHPOSX9t1CjpbKbw88zDMjQklVFhxoofPRp45ZV4eksWA/aL\nWWVlPHXmtbXRfo9h2LQpPl8+r5m5OmmUmLe2RhNzu4+0apWUvDU15SczV9TVhffMASszVz/mz3xG\nsiRF1E5DQT1zIPuxyoPgrDMvZFliIpHYc9xzdQFTFtKOHWIp2bGXAirPPE4xHxgInpUrWluBTZsS\ne8pQC022nnmcmbnyzPMh5p2d3r/3ovXMVceJTZvktnPUqOwz81WrZFox50FnlswjG3SZuSJqZn71\n1dJlW/2Yzz4bOOQQ6/UoJ4+XONhRJ3sue0Lq+Na3gEsuyd/+dDQ15fYz24+/U8yd36lfA2hYdu0K\nf8fR2iq/nf33D7+/YsSZmcfhmavfeNjkKgx+Yh6GgmTmN98M/PWv0TNzu4/U1qYX81WrpLE16uxD\njz4qtz9+mXlYr+/446Wqo7JS/pwiHOXk2bZNxCqoZ755c+4maVDYYznkkPiGBogaS1NTbu9G1LYP\nPTRTIO3iEtQzD9NYHCUzHz0aAJIYNy5YIpBr4vDM4xJzu2ee68y8q0u+PzWwly6WoBQkM1eMG5fe\nDToszCLmkydnHnR1W6sGswqLKnd0E4CombmdkSMzM7GwJ8/goFx0Jk70X1dl5u3t0RvaSpVci/mY\nMcDnPy/9J049Nf21qqp0cfG6k6qslHaZMGIeNTMHpM1GnTtR5x8tBvr7c5OZ58NmAeLZR97FXJ2k\nXV2SUQfNzB9/3GrUUD7Sxo0iSvX1mQdd9WpbuTJarJMmyRRkbh5rXZ3sMxuv75VXMqc4C5uZr18v\nWVZlZfBYmHMv5sU2Vva0acD55+duH5WVwE9/ajW0Ol9T5+YJJyTQ3+9+YSGS8enD1DZH9cyBBMaN\nk5EBa2pyK1p+xOGZxyXmyjOvqcmfmLv95ovWM+/okB/Uf/xH+u1kEDE/++xM31X55YC7mEcd7L+/\n37t0T9ks2eA26XKYk+e99zJL4dywi0zQiY2HC2PGAP/5n4XZtz0z7+6Wc8erIVbNBBTUIgxTlqho\naZEY9tnHOpcLKebZErdnrjrVRRn4Lgx+Yh6GvGfmBx4I3HKL9VwYz/yll+S/8pGUXw7En5n7ifnU\nqTI1WNxjQoc9eexi7hfLoYdajcK5zsyH21jZ2WDPzJ98Muk7gFl5efp7/AjTYci+j4aG5J47w1yL\nlh/F5pmrTnW5vsgpnXI79kXrmetK/Wpr5Xmvg6+6/jtP2FWrgClT5LFTzNUVT02c7Majj+p9dT8x\nv+024IwzvLcdhREjpG54aCjY+itXBs/MAWDmTPm/t3nmhcSZmbtVSNkJMxtQlMwckCkLVcnocMjM\n4ypNZLZ+/4W2WcKQVzFXw1TaqasDfv3rzI4WdrZuFV9cZfDKR/KzWSZO9O8QcccdwGuvZT4fdALi\nuL1honAn0Ny5UiETNBbl1e5tnnkhsWfZ06YlAol5mDvWKJk5ANxyS2LPRaDQmXkxeebvf78cl7Ky\nwot50Xrm9qunQjWIetkh7e3SINnfn56x+tks++2XPiaGjsFB/Rfvl5nnkqCNoJ2dwPz5MtZGUEaM\nkL+9zTMvJPbM3Kvvgp0wYh41M7dT6pl5nNUs9kHohpVnTkRziGgZES0nohs1r48koseIaCERLSai\nK922pTvplJiPH+8ew5Yt0oClTnDlI9kz83HjpPedGrq1q0ssGGc5pJPBQf1JHFTMc+HHBj2B1OdX\nZW5BY6mpMZ55PrGLy8sv+3vm6j3Tpwez26KUJgKZY84XUsyLyTN/7rnknrvyXF/kVJlqzj1zIioH\ncAeAOQAOAnApEc10rHYtgMXMPBtAAsCPiUg75ouuhCqImKuu//Yxo4eGZBhP1duuqgo46yzgoYdk\nubMzOzEParPkgqCZud8wtm7U1hrPPJ/YhTKoZ66SkiCiFKU00UmuezrmmjjFfNcu67ef64tcX5+0\nI+ajzvwYAO8ycxszDwC4H8B5jnV2A1A37Y0AtjKztvuBLoNQmYfbbf/ChcBFF8n7lJgnEgls2CDD\nAdiz549+FLj3XpmgNmhmPjCQnc2SCz/WPnmAF84Yg8aSDzEvtE9tp9Cx2MWltTWYZ67O2yCiFDUz\nd445X0x15hs3St+SKOWZ2Yr57NmJNJsll8elt1cu7vnwzCcAsNeDrE09Z+cOAAcR0XoAiwDc4LYx\nnc2iLAK3OfuuvloqMI47Lj0z37EjszH1jDOAV18FLr9cxHz8eNmn15ehy8ztrdmFIGglQ9S7h5oa\n45nnE3sDaFDPXBFkLsvhmJn/9a/St+QnPwk2qmOcYm7/XeXaM+/r8xbzMPgNgRvkujgHwOvMfBIR\n7Q/gWSI6jJkzZjJ8660r8bvfTUEyCTQ1NWH27NlIJBL4zW+A++5LIpm0rkTKK1q7NoF//hNYvjyJ\noSGgpyeBZDKJt99WWX36+g89lMCFFwJvv53EqlVAS0sC27bJMpC5/cFB6ZGnlhOJBAYGAKIk/v73\nzPWdy+o5t9ejLNfUAC+9lER3t/f68+cDVVXW8sKFC/GFL3zBd/uNjcDKlfrjHdfybbfdtuf7zcX2\nwyw7v6t871/EJYm5c2X6vMMO8z9fAFnetct/+7t2AR0d4b9P+/nS2ZnE668D556bu+Nx883Abbcl\ncPjh/ufLkiVJHHgg8OUvJ/Dcc8BXv+q9/Y0bk1i6FDjrLDneO3ZEP79ffDGZ0gSgujpTH+I8Pn19\nMqLnwoVS86/O17vvvhuhYWbXPwDHAnjKtnwTgBsd6/wVwHG25ecAHKXZFh95JPNrr3EGf/oT84c/\nnPn87t3MlZXMvb2yfPLJzM8+yzx37lyeN4/5+OMz38PMPGkSc1kZ85o1zJMnM3/3u/r1mJlnzGD+\nznfSn+vqYq6rc3+Pnblz5wZbMQSnnsr89NP+6z3wAPNHPhI+lvXr5djmklwcl6gUQywVFcz9/czH\nHTeXH3rIf/3OTubx45nb2vzX/f3vmT/2sfAx2Y/LZZcx33tv+G2E4eijmR9+2D8WZubbbmO+/nrm\nn/9crw1Ojj+eed48ebxpE3Nra/Q4f/zjuZxIyOPf/pb5iiuib8uPmhrmyy9n/sUv9K/PnTuXRabd\ndVr9+dks8wFMI6IpRFQJ4GIAjzrWWQ3gVAAgorEADgSgLTR0ux1086W6u2WGeHXLo6bmStjGG9Yx\nZoxYJWPHSiPpN7/p/gF1pYlhLBYrk4qPoDZLVM983LjcT0yRi+MSlWKIRZUnVlQE88wbG+U8GE6e\neV+fVYrnFQtglTFPnBgsrjhtlhkz8uOZM8sxGTkyD545S0PmdQCeBvAWgAeYeSkRXUNE16RW+w6A\nDxDRGwD+BuCrzKxtdnQ76dwOvhrzXGH3zP3EfMwY2VdHh1wQ3A6WzjMvpF8O5N4zN+QfdY6H8cwr\nK/PrmedazHt7re7rfihxDupZO8W8qwuI4lQA+fPM5eIuOpaXOnNmfpKZD2TmA5j5B6nnfsnMv0w9\n3sDMZzDzocx8CDP/0Sv4MJm5m5gnk0lfMVeljg0Nsg23qhadmIcRSbsfGxdqoCU/nBedXMQSFRNL\nOuoc37gxGVjMR4zIbWZuPy756AHqlZk7vyOlFUEvMk4xB4BPfjJanP/6V37qzJXOeDU+hzl389oD\nNKzNEjUzHz06vW69pcVdzFVp4pYt1njOhc7Mg5Ymmsy8dFCZeXe3+4QnuvfkKzOP005gBhYvznze\nS8ydZJOZh5kL1W1b+agzV/1E4rpg5L07fzY2i5rIws8z32cfYIKtgDJIZj5mDPCzn8lzpeKZ9/VF\n88zzgYklnaoq+U77+hKBy0LDZOZRxNx+XCoqgg/u5kdbG3D66ZnPh/XMw2Tm9u78qj1oprN7Y0Cm\nTEnkpTu/SsYqK90/Y5hz1680MVaytVnq66W+HMCeweN1XHVV+hfglZnbbRYVW6Ez3jANoCYzLw0q\nK6Unc3195uQVXu8JkplHtVnsVFQE21cQtm3Ti3Zvb/DMXIlzmMzcnti88YbM2BQF++9/wgRg9epo\n2/FDDbNbXh7PhbSobRbnkLkTJ8qQtn6e+ciRUsmiaGlxH3BrcFAqXgA1L2K4zDxXnnmUzLwYvGGF\niSWdqioZarm6OngsQTPzqDaL/biMGBHftHHbt0uyZd/e4KAIVj48cyB4u5OOt96yPPMpU+TzBOm4\nFBZ10fAS86L1zN0yCOcciYqenvSJh/fbz5o5yEvMnfjZLAsWyGN1QAvtmZvMfPhRWSliHmYi7aAl\ndnFl5nGKOSDtAwqVXYfxzNV44mE9cyB4u5PbttTvqqwMmDVL3waQLUHEPAx5z8zdPHPd1be3N91K\nmTpVhsr188ydKJtl8WLgqafSXxsctMqlojSAFtozt4t5MXjDChNLOlVVwObNwMSJwWPJdQOo0zOP\ny2ZRYm4vQ1Tnc1jPPGgDpC4zjyrmY8cm0nTn4INzJ+Y1NSLmu3fr14mtzjxuiPQtzW5fmFOwx4+X\n253e3nCZeVOTvC+ZBB580HqeOf2KqB4Xg2cepTTRULyozDzMuCy5Lk20k4vMfIdtQI++Pslyw1az\nBB0zZmBAPoMiGzHfuTP999/aan0mHY8/Djz8cPj9KJ0pKyvBzNwte3ATc2dmXlYmU6T99rcyR19Q\nMVczj/f3p/84nCevWi50nXnU0sRi8IYVJpZ06uvFIuzvDx5LrjPzXHnmyl+2Z+Z9fdLnI2g9tTMz\n9xo9UWW19oblqio5LlFEcvnyZNqoon53B5/9LHDBBeH3E6QBtGg9c7cTzs0b1GXfN90E/PCH4TJz\n5bv19XmLuTqgO3YUdrzvqN35DcXLpEkyIbm9Yd6PfGfmcdsszsy8vj64uCoxLy+XP6/YhoYy7/iJ\nRCijZOe9vem/f7+7AzXTV9gLR0l75m4nXEWFXF2dH0iXfX/iEzKSYnd3cDFXX0Z/f/pJYRfz1lZr\nOYyYG89cj4klncmT5bw66aTgseTbM4/bZnF65vX17vtwfkf2unG/zFgn5kD0RtDq6kSozHzMGPn/\nzjvh9qM887KyEvXM3Z7XHTBdLXlZmQjY1q3BZ9lR2/bKzMeMsS4mXV2Fz8yNZz68mDJF/k+eHPw9\n+czM4y5NbG2NJzMH/DNjNzGP6ps7k7kgFxNAGrjDUNKZueqKr0NntbhZKSNGJLFxY/AJFuyZuZeY\n2zPzoNvOhR9bX+99rBTGMw9GMcSiRHzjxmTg94TpNJStZx53Zj5xopWZ33QTsHSpDMfhtg+dZ64S\nlaiZeVQx37gxmVZC6ncxUVl1e3u4/ah+IiXpmXsdWN0X5mwAVdTUyIELWhmgOh709bnbLPbMvNCe\neWNjsNHlTGZeOkyZIoLZ2hr8PWE6DRWTZ97TY02wDgDPPgu89VbpZOY7d0bLzMOKufr9epUmhiGv\nYu6Fm82iy8xHjUoAyJw2zmvbusx8YMDKbEePLh7PvKEh/RbVDeOZB6MYYhk1SmqVTz01eCy5zsxz\n5Zn39cnvSSUkqht/XZ2Ilq4yxa3OHMh/Zj44mAjVALp7tySWW7aE3Y9chL1KE4vWM/ciTGZeXy9f\nnpo/1A97Zu60WdQ2GhqKJzNvaJAfgt9ktiYzLy0OPDDc+vnMzOP0zPv65E5XifnOnSLmqoNMkOw8\njsy8tjZ8l35m+f3bbZYgF5MxY8Jn5qo2viQ9cy903XbdMvNdu2RM6KCz5XiVJra0WDMaqZM5TANo\nLvzYqiq5Wvv1fDOeeTBKNZYw3fnj8MzjslmUmNsHxevstBr7dBcNtzpzIL+ZeV+fzP9rP55BLib7\n7BM+M1cX4ZL0zL0yTV0ZkVtmXl0d3GJR67uVJlZUSHZuHwK00Jk5EMxqcQ60ZRhejBiRv/HM47ZZ\n7Jm5slmqq4MPtWsvTfQbbCtOMd+xIzOB9LuY7N4t/QfCZuZ2m2VYeebOA69GWdOdpJMnB5tHUeFV\nmqi6ANszhjDVLLnyY4M0gjoH2ioGb1hhYtETJpZcD7SVS888bGbu55nnqwG0uxtoaUmPJUhmniub\npSQ9c+eBV1m5zkqpq4uembuJealm5mbUxOFLPmcaCnoX4Aez/M5aWyUZUV3qlWceNDO3lyb6ifLu\n3fox4qNm5s7ffhCbp74+/CQWQWyWMBStmHt119++Pfg8ioB7aaJ9cB6VMagGkEJ65oB/Zj44KCex\nfXChUvWGc02pxpLPOUDjysxVLE1N8jtSDZDZeOb19enD6TrxyszDNoDu2AEMDaXHEqSaZcSI8IKs\nbBav0sQw50teZxryQpeZu4l5dXU4r1i11Pf2ykmiThRnZq7WqajIvjogW/wyc2WxBG0ENpQefpn5\nwIA0ukVtALUTl5irwaNURZb6Tasy4CCZ+dCQiJsS6KhiHqU7f3t7psUaJDOvrAwv5iqZLMlRE71w\nXkW9poWbNSucZ66GC+jslGEA1IVAXRkB6yQLa7EUyjPXlSWWqjeca0o1Fr/M/O67ZVqzqKWJ9lji\nslmU9dfYmJ6ZA1Zpop9nrj6PSlSyycyDijmRdMdvbwdmzkykvRbEM48q5n42S9HOAeqF8yrqlZlf\ndVWw2087VVWZYxLrGkDDNH7mEntmPjgocxoecYT1uvHLhz/OBlBma3AmwGo3am8vnsxcnZc1NRK7\nPSEJOg6J807D7y7VS8yD9KRWrFghdzpq+khFkGqWbG2WYZeZOz1zt8z8rbeSmDgx3PZ1w2HqGkDD\nZua58mPVbSoAzJ8PXHZZ+uu6zLxUveFcU6qx1NWlj9HzxBPA5ZdbyypzHRgI3oHOLZa4xZxIzuG5\nc63XlM3i55nb75iB/GTmgCR77e1AV1cy7flcZuaqmiUOz7yoxTzoELdB0Hnsbpl5oStZgPQf8vbt\nMkuNHZOZD38aGtJFbNmy9LvLXbtkKsWFC7P/rcQt5oDE+u//br0WNDN3zhqUazFX8XR0SGburJTz\nmyBjaChaZq5slmHpmetKE3VE8UCdwjc0FE9mnis/1inm27ale5rGMw9OqcbiFLFVq9Jtl127gBNP\nBA47LPtY4vTM3X63qjTRzzOPKzMP2p1fWSibNomYn3BCIu31sjLv9ovdu6Nl5kFslmFRZx53Zu5s\nIBoc1JcmFnosc4VdzNW8iW+8Yb1uMvPhT319ulfc1ibCs3GjLNt7SWZLLjJzZ7IRNTPPxjMPOskL\nIGLe3p7pmQPevnkubZYwFJWY26+iXpl5HB7owIB7NUuYBtBc+bE6MT/qKEvQjWcenFKNRZeZ9/cD\nM2bIeZptSWIuPXP12E5Qz9xZnZNrm8Uu5lu2ACtWJDPW8RpSIGoDaBCbJVbPnIjmENEyIlpORDdq\nXv8yES1I/b1JRINEFKJwUHBWs8Sdma9enb6sxLxUPHOFuhU2mfnwxy5izFZm3tkp50Qc9eWKuGwW\nVWeusMcXdNRE++8SyL2YK5HeuFEEXVf27DWkQNTMPK/VLERUDuAOAHMAHATgUiKaaV+Hmf+LmQ9n\n5sMB3AQgyczbM7fmTa4987vuAv75T2t5cLB0PHOVmQPWc8YzD06pxlJdbdmBW7ZIgqPshq6u9C7v\n2caSi8wcAM45x3rs1WlIV2eucNpNTuLKzJculf2eeWYiYx2vzDwOmyUfnvkxAN5l5jZmHgBwP4Dz\nPNb/GID7Au/dRq498w9/WGwKxcBAuudYjJm5vSu0QmUoJjMf/hBZWemqVTIynzoXOjvjzcxzJeYP\nPCAllYB3d347zgZQZ1WPk2wbQPv6gPHjgffek6Fsddgz80WLgLfftl7L1mbJl2c+AcAa2/La1HMZ\nEFEtgDMA/DlKIGG688flmff0WPW5KmMI2wCaD898+3bgkUeACy/0zsxL1RvONaUci13MZ8ywRE1l\n5nF65gMD/hOi+OEUc/skMl6ZudMzD2OzZDvQVn+/zFlaVSXT3em+I3sD6G9/C/zf/1mvZWuzxOWZ\n+/UADfPVngPgH14Wy5VXXokpqWnKm5qaMHv27D23EUuXJpFMAgsXJtDTA/z5z0mceSYAyOvqQ6n1\noy6r7f3jH0ksWQLss48sL16cxObNQGNjAo2NYbaHWONTy0uWJFOzfSfQ2QmsWpVETw/Q3S2vL1qU\nREdH+vFZuHBhbPvPdnnhwoUF3X+xLiuCrl9fn0B3N/D888lUkiGvv/RSEitWAEcfHT0e+/kyb14S\nRMDu3QmUl0f/fH19CVRXp78uSUcS8+cD5eUJDA56ny+Dg8DOnaIHiYRM4dbfn8TjjwMf+lDm/oeG\nZPA9tb56fetWoLfXP34ZUTWJUaOAceP06/f3J/HSS8CRR8rvsb3d2t/QkOiHCHLw47V9O1BRIce7\np8faXjKZxN13343QMLPrH4BjATxlW74JwI0u6/4FwCUe22Ivli5lBpiPPJL5y1+Wx7/+tedbIiG5\nh+zva19j/t735Pm//Y355JOZzzqL+bHH4t9vWFatYt53X3l8yCHMCxcyX3st8+23y3O33y7LhuHN\nkUcyv/Ya8zXXMP/4x9b5+6tfMV9/PfNPfxrfviormfv6stvG978vvys7CxZIzAMDzKedxvz0097b\nmDuX+cQT05/7wAeYn3tOv/4jjzCffXbm8x0dzI2N/jE/+STz6aczJxLMN9ygXyeRsPZ//vnMn/+8\n9dpRR8l3BDAPDfnvTzFtGvOyZcxr1zKPG+e+Xko7PbWamX1tlvkAphHRFCKqBHAxgEedKxHRSAAn\nAngk/OVEmDFDfMAtW4CXXpLn3BpA40Cu/tYtYDF65spSUdZPfb23zWIYfqga661bZVAtRdyeORDP\n1HG6thw1A71q7PPzzHUDh73vfcCrr+rXj6MBtLparJZx4/Tr2Lv0d3Wle/FDQ2KVhK1KyetMQ8w8\nCOA6AE8DeAvAA8y8lIiuIaJrbKueD+BpZo4wF7ZFYyMwZYp0Wwby45mrfRTb2Cx2MVdVC3bvUPej\nyVUsUTCx6Akbi/rOu7vl96G85H/8A1izJj7PHIinEVR3XlZWWs8F8cydDaAAcPjhwJtv6vfpJuaV\nlVbVmhdqOOmvfAW49FJ/z7yzM1PMy8vDi3mQapYw54vvqInM/CSAJx3P/dKxfA+AewLv1YPWVum6\nDuQmM3/4YeCGG+RAFnNmXlMjJ8/QkCXmdXXW1FTOel7D8ESV5akZ46uq5Dx9JHUPfOml8e1Ljfuf\nDToxV6MoAsEz8wqHMo0ahVQbUSZuYk4k++3rk2PnFXNVFXDoobK8cmXmOvbMvLMzfQA0NfZ6FDEf\nlqMmKlpbrcdx1pkrzjtPypAGB/WZeVdXuB6g2cTiBZFVWqVup+02y8aNUqqWj1iiYGLREzaWlhYR\nse5uS8ztZJOZO2OJIzPXJRnjx1vVH0HqzHWZ+ciR6SW6dtzEHPAfvhbIvADpviO/zDyKzRKkNDHM\n+VLUYh52yqegKG+wmDNzQMS8pyddzJXNsm5duodqGJ40N1ti3tCQKd6l4JkTAUqTombmTU2Z8xEo\nshVz58ToOpyZeRw2i+q0WDbcRk1U2Ae5SVUxZpCtB6q6LjvrzNUcoWHsnVz6sco3V/MqKjFfvBhY\nu+5XWPEAAB/ESURBVDZTzEvZG84lpRxLS4vYjvbM/PjjgWOOkdfj9MxzZbPYCVpnrsvMcyXmzpi9\nPPO+Pvk92sVc1bnnwmaJ1TPPN62tciUfHNR3BIgDdTvptFm2b5cfTLHMq1lXJ1mAOlGUuB9yiLxu\nMvPhT0uL9Di0e+b77Qccdxzw2mvxZubV1dnfDfuJedAeoLrMPJc2i19lmMrMVQx2zzybBtARI+Ri\nMCwz89ZW+eK8hDxbD1Rl5k6bpaMjvMWSSz+2rk5iUj9Y5xgVdksq17GExcSiJ4pnvmWL1SNaVYao\n8zROz1xZOtngNZ45EG1sFkB+C/39ehsobpvFyzPv6pJj7szMw4o5s3XRGtaeeXNzbvehbiedmXl/\nf3HM/6lwinlrq4wfoSiWOwhD7mhpEUuttlYSnKqq+MTcSXOzu5URlLgyc6eYE7k3gsZts+hQmXlX\nl4zfkm0DqHqP+huWmfmhhwK/+IX3Otl6oG4NoED4zDzXnrldzMeNkyxtzBjgmWfyG0tYTCx6onjm\nq1db56USc1VqF6dnHldmHodn7rRZADkGn/985vgxcdssXp55b698J9naLPa7j7Iy1a83c70w50vR\niXllJXD66bndh1sDKFA8lSxAppjX1MgPbuJE4LTTChubIT+0tEg2qsTbmZnH2Qs4H2IeNTMH5K70\nvvvkT/W3ALIXc6/hthVqCNz+frGBd+2yhDuKzWJvFyCKpxdo0Yl5EOLwzFU3X3XSRM3M8+GZ23+w\nEybop7XKdSxhMbHoCRuLshxV0pFLz7ypKXsx9+vMFtQz12Xmio9/HPjDH6xlt1ETgWBi7hxu280z\nlwG55PPZJ9OJYrM42wXcrJaS9szzQUWFnLT2XmHq5Bk1qjAx6XBm5oB0wHA2fBqGL+pC/s471nIu\nPfNiyMx1DaAAcMIJViXXyy9bz8eRmfvNnWDPzKuqrD4g9v1nI+Zx9AItSTGPo85848Z04VYnQ9iZ\nzvPpmQMi5m6ZeSl7w7mk1GM5/XQrC9wbPHNdaSIAzJsH/O1vwL33xivmO3em2yxunrnKzJWYq0bQ\nbG0WwP29Je2Z54OKikwxVwf2iCMKE5MOnZgffbQ1hoRh7+DBB62JvGtq0sXcy44IS7Fn5oA0/l92\nGbB5c2ZmrCOKzaJDl5krMY/DZoljtqGi6zQUhDg8c6eYqwMbNjPPZ505AHzuc4WJJSwmFj1RYmlo\nsOyFb39bGkWVR1xqdeZuguc3NosdImk7WrcOmD49fpvFzzNXg95lY7M4hy82nnlEdGJeUwOsWGE1\nNBUDOjE37N3st5/UWwPy41eP42DkSKmjjsrgoGSXXncLQQbz8msABaSia+1aeRy3zaLDKzOP0p3f\nORm38cwjUlEBbNqU2ZA4dWr+Y/EirJiXujecK4ZrLNkOd+GMxT6YVBRUpYdXZ7Yg3rCXzaJQmTkQ\nv80S1jOPkpnbJ5MH3G0W45n7MGKEzNxSTJUrOkxmbsgn2Yp5kJ6UQTJztwZQO3Fm5kGqWdR27DZL\nNg2gzsw8jl6gJSnmcXjmQDxinks/trZWeoUF7RhS6t5wrjCx6HHGkq2YB5kwJYhnHjQzz5XNovuO\n1LFxliYyR7NZdJm58cwjUIw15TrsHUUMhlxTTJm5n5iPHSsVLUB2Ys4crAeoMzNXNsvu3WIrERnP\nPBJx1JkDUrNd6Fi8aGmR/8Yzzw4Ti564PfMgYh7UM/ezWVSDJJCdmKsM2f5+3Xfk1gCqLBavz+a1\nX4XxzCOiBrSZPbuwcfihpoUzmbkhH1RViZDqBnzyY/fuYGJeWSlZqRdBMnO7SGcj5kEqWdR2dKWJ\nqsYcMJ55JLL1HZcvl/9ek7zmKxYvmprkf9AfVzH7sYXExKLHGQuRiK1d/Lq6/MsVV60SIQvimdvH\nNHGLJUhmHqeYOxs/vcYzd2bm9n0bz7wAtLTEI+S5Rl3xsx1j2mAIitNq+clPgP/+b+/3qI5Gb7zh\nn+XaxzRxI0gDqD3Dz2agrSB+OaBvAM3GZnF2GjKeeUS+9z2ZV7EYYglC0F55xezHFhITix43b9gu\n5t3d/uefytyffNI/M7eX9LnFEkTMc5mZ646LulPYuVM+Y7Y2i7ooKNyGwDWeuQ9lZf4nSzFhMnND\nvnCKeV9f+lSFOtTsP4sWBbNZ/DLzIGOlBBVzv0bdIPuy77OzMx6bJReZ+V45Nkuc5COWoGK+tx2X\noJhY9HjVUyuCiLnKzNvbg4m5LjO3xxKnmLe0eN+F62wWt++oulo+a1WV7DPbapYgpYlhzpeSFPO9\niXPPlfE4DIZ8EDUzb2wUoQtiswTJzP3GSKqqsjxzLzEfM8aqR9fR3R28/ayqyhJzFWc21SxBShPD\nUJI2S7H7jnHyyCPAbbcVRyxhMLHoKfZYdGLuV83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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -447,7 +509,47 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Positions in the precious metals have recently exhibited swings characteristic of momentum trading. Worth noting is the August 2015 dip into net short region. Less erratic swings probably will indicate a trend in prices of the underlying metals. " + "Positions in the precious metals have recently exhibited \n", + "swings characteristic of momentum trading. \n", + "That may be also due to the fact that strategic positions \n", + "are taken for the long-term in ETFs, for example: \n", + "GLD in the case of gold and John Paulson, rather than \n", + "in the futures market to avoid rollover costs and slippage. \n", + "Counter-tactical positions may be traded against \n", + "the ETFs in the short-term in the futures/options market, \n", + "however, those will not be accounted as spreads in the COTR. \n", + "Thus we must be aware of bias created by trading in related \n", + "markets which are not under CFTC jurisdiction.\n", + "\n", + "Worth noting is the August 2015 dip into net short region. \n", + "\n", + "#### TECHNIQUE: damped indicator swings can show trends in the underlying prices\n", + "\n", + "We can demonstrate this by applying \n", + "*exponential moving average*, **ema()**." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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oVS1p1zvvWH6Ngw6CO+4o/gzO+vLJJ3DccTBrVuFSDKia3/TNN+1HMRtWrYJm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\nivvpo03FGfqo+NGiogNcSyp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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "z_metal_ema = ema(z_metals, 0.05)\n", + "plot( z_metal_ema )" ] }, { @@ -456,21 +558,26 @@ "source": [ "## US Dollar position\n", "\n", - "We use the futures and options COTR for contracts on both the euro and yen, then average their position indicators. To invert direction due to quotation style, we take the complement, i.e. (1-mean), so we still retain the [0,1] range. We can run this procedure by retrieval of a variable called *w4cotr_usd* (where w4 tells us that it's weekly series)." + "We use the futures and options COTR for contracts on both the euro and yen, \n", + "then average their position indicators. To invert direction due to quotation style, \n", + "we take the complement, i.e. (1-mean), so we still retain the [0,1] range. \n", + "\n", + "We can run this procedure by retrieval of a variable called *w4cotr_usd* \n", + "(where w4 tells us that it's weekly series)." ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Lig3ens8UZmMlJDKgpUtTe95h0tK9wSOOsDkyPfbsseD8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\nh6MC+f8neFtq31vzLAAAAABJRU5ErkJggg==\n", 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nmReVTZvsFu2YYyyAB9ks5SKVZx40AtS7Be7XL/0xSxnMHdGnqck88898xjrO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\ncJScYnrmM4BRIlIjIp2Bs4Enkk62BxbIvxgUyHN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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -478,7 +585,7 @@ } ], "source": [ - "# Dollar position:\n", + "# Dollar position (not price):\n", "z_usd = get( w4cotr_usd )\n", "plot( z_usd )" ] @@ -487,23 +594,31 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As the subprime mortgage crisis deepened in the US, worldwide safety flight to USD peaks at our indicator exceeding 0.7, Thereafter, we see an orderly decline through 2013 due to Fed's QE quantitative easing. A bull market develops due to the termination of QE by the Fed, while QE is relentlessly pursued by BoJ, and finally the ECB activates its own QE. The sudden acceleration at the beginning of 2013 was a huge early warning sign of change in market sentiment.\n", + "As the U.S. subprime mortgage crisis expanded worldwide, \n", + "flight to safe USD makes a peak in our indicator exceeding 0.7, \n", + "and thereafter, we see an orderly decline through 2013 due to \n", + "Fed's QE quantitative easing. A bull market develops due to the \n", + "termination of QE by the Fed, while QE is relentlessly pursued by BoJ, \n", + "and finally the ECB activates its own QE. \n", + "The sudden acceleration at the beginning of 2013 was a \n", + "huge early warning sign of change in market sentiment.\n", "\n", - "Next is the dollar index (against most currencies) used by the Federal Reserve Bank which considers the real trade balance RTB between countries:" + "Next is the dollar index (against most currencies) used by the \n", + "Federal Reserve Bank which considers the real trade balance RTB between countries:" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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TJ2rYEHr3ho8/zu26oPKwg/awwXz9994rzPwiUfAdk3GavBE1TVHQM2OGzfIZ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\n8mSbZGrAgNyvjY94HDbMVk057bSCy0t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p26owZ04dH38M++4brZ5+/frwyiuw0Ublez9xbicJQU8lP7/VrqeS/0+5tseN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\nCykjIXlX6VoKDeTffmudMWA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -513,7 +628,7 @@ "source": [ "# Fed US Dollar index, m4 means monthly frequency:\n", "usd = get( m4usdrtb )\n", - "plot( usd['2006-06-01':])" + "plot( usd['2006-06-01':] )" ] }, { @@ -522,23 +637,28 @@ "source": [ "## Bonds position\n", "\n", - "We use the futures and options COTR for contracts on both the eurodollar (strips) and 10-year Treasury bond, then average their position indicators. We can run this procedure by retrieval of a variable called *w4cotr_bonds* (where w4 tells us that it's weekly series). \n", + "We use the futures and options COTR for contracts on both the \n", + "eurodollar (strips) and 10-year Treasury bond, then average their position indicators. \n", + "We can run this procedure by retrieval of a variable called *w4cotr_bonds* \n", + "(where w4 tells us that it's weekly series). \n", "\n", - "The indicator intends to show market position across the active yield curve, not in terms of rates, but rather prices of fixed-income instruments. This is useful to gauge the effects of Fed policy." + "The indicator intends to show market position across the active yield curve, \n", + "not in terms of rates, but rather prices of fixed-income instruments. \n", + "This is useful to gauge the effects of Fed policy." ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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17oWbiU2bkk+m0atX8zJv175n4J6mUulJm3mLSGvgDuAEYAnwpog8qapzgn1U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\n", 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ofVJ55sOBOao6H0BEngfOABLN73IB8FzO1CUgrL6WN8FEeblN2uBVEAT7MP7p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\nNdbNsE+f4Ekc1q4139+bim3dOtPdLIM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -555,25 +675,36 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "From the beginnings of the subprime mortgage crisis to 2012, there is a commonplacent bull market conviction that the Fed wants lower rates across the yield curve: bond rates fall from 5% to 1.5%. Thereafter, the market seeks to front-run the Fed in the event ZIRP Zero Interest Rate Policy is reversed, but is denied on several occassions. \n", + "From the beginnings of the subprime mortgage crisis to 2012, \n", + "there is a commonplacent bull market conviction that the \n", + "Fed wants lower rates across the yield curve: bond rates fall from 5% to 1.5%. \n", + "Thereafter, the market seeks to front-run the Fed in the event \n", + "ZIRP Zero Interest Rate Policy is reversed, but is denied on several occassions. \n", "\n", - "Only after 2015 does our indicator spend time below the neutral halfway mark: Fed has ended QE, and the market seeks to determine the time of the first rate hike since the Great Recession. Bottoming rates in 2012 and 2015 technically imply a floor around 1.8% for the 10-y Treasuries. \n", + "Only after 2015 does our indicator spend time below the neutral halfway mark: \n", + "Fed has ended QE, and the market seeks to determine the time of the first rate hike \n", + "since the Great Recession. Bottoming rates in 2012 and 2015 technically \n", + "imply a floor around 1.8% for the 10-y Treasuries. \n", "\n", - "Given favorable economic conditions, esp. unemployment, and the expected hike in September of 2015: a bear market is developing for bond valuations." + "Given favorable economic conditions, esp. unemployment, and the \n", + "expected hike in September of 2015: a bear market is developing for bond valuations. \n", + "But surprise: FOMC postpones the rate hike until 2015-12-16, \n", + "and our indicator gets less bearish. Compared globally, US bonds yields \n", + "are very attractive, and the USD is very strong." ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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WNLSM63kqRHNz+NrvRsG1BaLf07lkap3TXtXS3eYaNp6pxdaoxMXnfuONNpVh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\nWcGF+gJ3qOoIVW0WkXOA8UB74M5Mht2xapUtv/W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LzY969gHni3PdWOxuLBKP1JW6JhMmWD7wSmqxQbTTb1tjjcxx0eXQ4ijkhWKx\nPvpqxtHPmAF33pl+m+vQ5bK6zpwJ//iHza+9dum1AJx7bkG7ZaVSPvoXgR+pah/gE2zg73Qo0KQ2\nClX/IurzFIgz9O6PF9WWVqkIZxMs12AY2Zg7N7urKF20Rb1Rypexmch283r88dQX4suX23/AdVb6\n+mvzfX/3XfDSc9tty6M1/BRx6aWJidIqQTFDCY5QVdfZ+21ggyzFK54ot9p+8TDV1uJ8xjZoQlMk\nWvTluiavvx4Y2RdftBzildSydKlFUxQaJVOu61JIhEqxcfR3351fN/18dWQ7pzXS+Bd++lPzv48c\naTeBVq0smdhbb9lv5sADW24YFHpNwoa+XbsgpLMYquGjPxF4LsM2BV4SkTEicnKJ6vPkgWvRu1ZL\nupbWkiWlSytbTcKt5XBM8ogRlanf3URrLUqm1Hz9teVbP/ts+0yZkr18KTNdvvxyMGpT2MCGfwMu\nd01jo+WgeeWVINdMOXA3/s03L37M30LIGnUjIiOA7mk2XaSqw+JlLgaWqepDGQ6zs6pOE5F1gBEi\nMlFV0z64DBo0iJ49ewLQpUsXGhsbf7hrOX9Urss33XRTUfuXcjnsS6tG/StWwJQpMdZd13rnrVjR\nxMiRMUSC8u3bxzj+eBg6tDL6yvX9QLDcti0sWWLL++4bY/hwGDgwdf9Sfj9uBKJx42IsXlyI/kRN\npbo+yd93LvuPHTuWs+NB5fnWN2eOLTc3N3HzzdC1a4xddslcvmPHGDffDGeembo93+/nF78I6p8z\np4nOneGll2LstRe8/LKVnzEjRiwG3bs3MW0aDB/u6sh+/GRNuV6PpqYYW20FJ5yQW/mW7MnQoUOZ\nPn06AwYMICdaSm+Z7QMMAkYB7XIsfxlwboZtaRKHFs7IfPPAlpFqalm8WPWcc1Svvlp17lzV++8f\nqa1aqS5bllgOVA85pHK6ynVNwmlfW7VKTe26ZEl5tcyYYfWMG1fY/uW4LitXFpaiuBgt22+feN3v\nuy97+eSUzsXo6NMnON7HH6tutlmw7H4TjjFjVLfbztb169fysaNoV8ghTXExRn4g8AHQNUuZDsDq\n8fmO8ZvCvhnKlvGSrLqst559y3ffHaxr10510aLEcqB6wAGV1VYO3B962TKbnntuosGZM6e89U+d\navVMmFDeeqLOHnskXvdbb7WGRibAfpf5kOnmddppQb1vvql6xBHBcq9eiYb+44+DXPMffphf/VEh\nF0NfjI9le+wkAAAgAElEQVT+VqAT5o55T0RuBxCRHiISH2WR7sDrIjIWe2H7jKq+WESdnjyZNs2m\n66wTrFu50rLzJePycdcq4RA21/vXpYV1LFxYXg3OR59vLpt6I3ks04svthek2cZXzbcjX6aXsUuW\nwOmnW2bIX/0q6D/SrRtcc01i2bZtg9/K+uvnV38tUUzUzeaqurFa2GRfVT0tvv4bVT0gPv+FqjbG\nP9uo6tWlEt4SYZ9atYmCFmfoY7EYy5ZZZr5kKmnoy3FNbrghmHc3Mpd10DE6TU+OUmpxhn7TTQvb\nPwq/FUcxWjbeOHHZfR/pUv26MVozBQOEdcyZY9OXXrIBP5K59lp4+mkYMMD6K3z6qSUAA8tbc9hh\niZFAbeO9YHfZJTFrZCZq9fvxPWNXEZLDzdJF3tR6iz5M/3iPjTXXTIy3ziXcshiam2HLLctbRy1w\n1VXpOwmFB8RetAjOOstSAoN9N9meuD7/PGj1DxpkH8ecOXajuOACmDXLbvBbb524f+vWFj4ZTvPs\noqPeeCPXM6tNfK6bChAFLR072jSs5bnnLOztN7+x5Uoa+nJfk7lzbdo/qYteuoRupdTS3Jw5j00u\nROG34ihGS/v2QS73d9+Ffv1sPhxG6X6TYTdPp06pHaGcDueGBJg61abz51vagjXXdP1EjJUrLdd7\neHAOl94gzNprwxFHpB8hKh21+v34Fv0qgvtThTnzTDjllGC53K3dcrPJJonLffqk+nEvvri8Goo1\n9PVIuINeunj5OXPg//4vWA4Psxdm9uzU44XdLQsWBC6zhQsT30udcIL93tPx6KNw/vmZ9dcDdWvo\na9WXVi6coQ9rCQ9J162bte6vrtBblHJcE5HER3BnGCqppVhDH4XfiqNYLc6fns7Qq8IOOwRZPsOt\n7XhXmhQdzr/vXq46Zs4M5j//3HomH3NMUHbSJBurN/nFfCHU6vdTt4bek0i6LvlhQ+8SPF10UWX0\nlIOFC22ABkfYH1wpfIs+wD0hhq+HM/SPPw7vvAMXXphYFszHns6NeNZZNr3uusT1yWOnbr99cAPp\n2DH1xfCqiGglRwzOgohoVLTUE851Eb6099wD991nLa4PPghaV2PGpJatFZYssZvZrFnBYMsQnEvY\nhVPO83vlFRgyxPzDqzrHHw8PPGD+8tVWM+N70EF2M95kEzjtNHjoIWt977+/bTv1VNv31FPhjjsS\nj5drvp6VKys7bGK1ERFUNesZ+xb9KkiPHvbiasaMYF24dV+LfPedTdu3t+yAkBpa2bt3+bITOpYv\nj1aLvpo37WOOsRf9zuh26wZPPAHXXx9cI/eyXCRxsJb//S/1eNl6+6+1lh1r9OhVy8jnSt0a+lr1\npZWbWCxGmzaWwCns21ytwr+EUl8Tl7yqXTt7OgFLWOU47DBrQa6+OnzzTfm0eB99wH77wV132fyX\nXwatdQhi5jfZxMIrTzst0dB365aoY+FCyzKZPOKTo317i8d33325qNXvp24NvScgeYDjZEM0Z07t\nt+iXLoXNNrN5F4v9xz8G2x9/HHbcEf773/L2gFywIH2EU7WISuu2Z8/U90Q9e1oD45ZbbKjEcNTU\nhx8mll282KauQfLBB4nb6yHzajmpW0Nfq/GupWaNNRL9xU1NTSmG/pNPAkO/9dawxx7l11Xqa7J0\nadD5xfXCDKcphkRDE04BUUotkyfDhhsWvn89/27DqZs/+ii4MTvCOdo//zx4md7U1MSSJTZ/ySU2\nddfYxeonDw9YLmr1+6lbQ+8xlixJzbuS3HqfODFY99VXtfkiMWzom5rg8MNTy4QNfblGeZoyJX16\nCU/i73DRotTf4WqrmYvno49sORwts2SJxciffLLdTFdf3YaI/Ogjm6/0uMC1Rt0a+lr1pZUSVTOA\nLp+H05Icunb88RYtcuWVwZ+v3C2kUl+TsKHffHN47LHUMmFDH/bTl1LLokXFuW7q+XfbkqEHc+e4\nVjqYgX/mmRibb26t/NVWC26kztUzaZIN7F0JavX7qVtD7wmMfPKLVufvTKZNm8Cl4VII1AojRrQ8\nGHXY0Ifj7UvJihWJLxU9AeGeqgsX5vZe6OyzMw/u7iKK1lorWu9FokjdGvpa9aWVkqVLU902TU1N\n9O2bvnzYd3/rreXT5XSUku++g332yV4mHG4Z7n1ZrJa+fYMbpBu2sVDq+Xcb9sl//bXlmWmJUaOg\nWzfTkRxUUI0XzbX6/dStofek98+Dtazci69wKzfs4hk8uKzSSsbChZYtcunS1Fw3yYRvZOFzLZax\nY+2F9syZljSt1iOYyoXLQ9OunSU623HHzGXHj7fphAlByoOHMg1W6mmRgg29iFwhIuPig468ICJp\nI1xFZKCITBSRT0WkYqmDatWXVkrSGfpkLeEONcmpjMtJqa7JjBlmZDPd1DIRNsbFaPnqK5u+9551\nxX/mmeIMfb3/br/9Nujf0Lt35nLbbBPMT5gQ45BDUtMOV4Na/X6KadFfp6p9VLUv8AxwaXIBEWkF\n3IYNO7g1cLSIZPl6PaVkyZLEkLYw7mVr2K+dHF8e9VQI330XpB3+5z9h+vSW93E5VT79tDQanAvo\nhReCdb5Fn5l11w2+s+7ds5d171GWL/eRTEXT0liDuXyAC4G/plm/I/B8aPkC4IIMxyjZGIoeY+xY\n1W23Tb9twAAbJ1MkGE/zuecSx/kcPbqyevNhxYrUgb+PPTa3fe+7z8rPnFl4/TNnqm66aVD3TjsF\n8//6V+HHXRXYcEO7TtnGkFW18X3dNe3dO3V7IQOe1yOUecxYRORPIvI1cAxpWvTA+sDk0PKU+DpP\nBZg1K/O2jTayabjVPm9eYr7wSqdFyAeX2yZMcnrbTLinmGJe5n3+uX0c4Sgl36LPjKq5YBoaWh66\nL+xKdLH1YaLS67cWyPpXFpERIjI+zefnAKp6sapuBDwInJHmEFV7+K9VX1opmTEjs4/e/UnCxnze\nPHs5+8QTJJQpB8Vek+Sc5JD7oCJuYAvnvirF9xO+qb7/fuHHWRV+t//+d/qRvrIoSZtmuxrU6veT\nNeJXVVsIWPuBh4BngcFJ66cC4Q7hG2Kt+rQMGjSInvFmWZcuXWhsbPwhhMidVK7LY8eOzat8PS5/\n8AFssknidseMGba8445NjBoFEGPKFICm+J8qxltvwfbbl0dfsd/PyJHufGx5001jvP12bvtbd/oY\nr78Ohx1WWP3vvptY/7RpwfJhhxV+fRxR+P2MHTu2LMdvaIA338ytvLu+l10WIxar/v/LUc3vJxaL\nMXToUKZPn56iKyMt+XYyfYDNQ/NnAI+lKdMa+BzoCbQFxgK9MxyvrH6sVZEHH1Q96qj024480nyf\nS5aoLl5s/lLn85w1y7bFYpXTmi+jRqX66HPlq6+s/NdfF17/228H9fbrZ9MTTrDp8uWFH9eTyF13\n5ffdropQZh/91XE3zjhgb+AsABHpISLPxi33cuB04AXgQ+BRVU3jbfOUg2ydd1wvxYYGc+907hy4\natZc0zofuURSUWTOnNR887my0Ub2KSbNw8cfB+GBLrJpp53M9Hsffek4+eTa66UdRQo29Kr6C1Xd\nVi3E8iBVnRZf/42qHhAqN1xVt1TVzVS1QiOS1q4vrZSkM/ROy4UXZh8ftqHBOiGVi2KvyYwZidkO\n3QAWudKqVXE++lgsqNO9BymFgfe/20RE4H//S6+jGuG/Ubgmjny0RDiuwlMsJ5yQ+aVXjx5wwQWZ\n921osNjwsDGNEjNnBqNF3X8/vP56fvuHDX0hzJljOdQhaNH7HDeVxUfd5I4fM7aOEYHttoNx4/Lf\n99hj4fnnLZokil/LPvvAzjvD5ZfDww/DUUflt3/v3vDkk9l7Z2bizDMtF9C991qK5zXWsIifs8+G\nG2/M/3geTzH4MWM9Bbd6GhqsR2JUeeklGy2qUFq1Kvz8XMK3n/4Urr02SM711luF6/F4ykndGvpa\n9aWVm1y1NDSQkre+GjqSWbQIxoyB7be3QcCvuMLGJs2XQn30LgYfgnFN27YNjlkstfhbKTdR0QG1\nq6VuDb2nOFauDKJu5syprhbH+edb3vEddjB3Uvv2Ni7smmvmf6xCffSuN2f4Scn56IcMyf94nsKJ\noksxqngffR1TjI++ffvA0B95JDzySO77PvUUbLFF4vBun30GU6fC7rvnr8WR7IaaMKHwIeR22AH+\n+tf8o3Wchjlzgi76//43HHywvfhea63C9Hg8heJ99J6CI0tefTWYT5dXJhuHHpqYZhbgnHNsLNdS\nkikzZy588IFF7mTjqqvgiCPSb1t99WDe9Unwoxx5okrdGvpa9aWVmuQXjrlqCbd00+WVyZewbzsf\nHdnIJ/98MosXwxlnZNfyr3/ZJ8y228IvfpGYI2innewaFXPjcfjfbSpR0QG1q6VuDb3HaGkc1VzI\nN3SxUnTqVNz+W2yRfXu6gVjatIHzzktd71vznijjffR1jAhsuKGNz1no/m3awJ13woknZi87erQZ\nzs6d7UVn586JXdfXXx+++aa4F2jJPvpijnX44eZ+uffezGUOPtj87+F6evWCF19MHP/U46kmufjo\nfV++OsUZp2Ja9Pfea0YtFz//T35ieUmuvdaWBwxI3F6sW6PUMf2PP27ThQstj73THaZLl8RlVZg9\nu7AoH4+nmtSt66ZWfWmlwhn65Fj4fLSccIIZu2QjK2JjpCazYEGwPnyD+fxz+PLLwnVAat6dbANL\n58Njj8F118W4447UbcmG/t13LaqmnIZ+Vf/dpiMqOqB2tdStoa8F+vcvX74O1wovNjFZ69aJht6N\nQPXmm6llH37Ykn116wYjR8Ill9j6UgzqnHwelkO/cMJRRQCnnQYjRiSuc9/N5PgYabvtBl98Ee2R\ntzyedHgffRVxhqQcp710qUWljB0LffoUfpxzzrGUvuecY8sLFphv+7LLYPDgoJw7l513tjIudl81\n8WZW6LlOmwZ9+9rg3gceaL7zYnjzTYuWSWby5GAg6jXXtHj5UaOsbDm/L4+nUHwc/SrMihVm6Isx\n8pCaE8Y9KcyYkb78119D9+6J6444AvbdN3H/fHE3LjdfLJkyTX72mU1XrAh6BC9cmDiWrsdTa9St\noa9VX1ohPPVUaisz06Aj+Wpp3TrROLv5THlwJk9OjEh55hnrMfr739uyS+2bj47vv7eUyQ0N5nK5\n++7c9Wci0dAHWubNs6mLn+/Tx4y8S2T2pz8VX3c2VqXfba5k01Hpp6uoXBOokI9eRK4QkXEi8p6I\nvCAi62UoN0lE3o+XG11offVMMT9WVeuJmmx4V64sjS852Ufv5sPrkt8z/PjHwfzPf249a7t2teUX\nXshfw+DBcOqpZuh3281CRoslU4t+1ixzdx19tC337m2GfsIEWz7zzOLr9pQOn5M+N4oxBdfFR5fq\nCzwDXJqhnAJNqtpXVfPMLFI4TaXub18ELWl57LHCj+0MfK4t+nyvS6tW8PbbiceFxBQAybi0vY5J\nkwJDX4iONm1sOn58zru0SKKhD7QsXkx8kHSjfXt47jl7N9DUVHwnrZaopd9tpYiKDqhdLcUMJRju\n1N4JWJmluL/vJhFONFZMz1PXKSnZ971yZWnS5m69tblfXIIz15J3oYfp4vSTDf3cuUE+mEIoRWqB\nZDK16JcssacQR9eu8M9/WkTOcceVXofHUwmKergXkT+JyNfAMWRv0b8kImNE5ORi6suHqPvSPvgg\ncbmlnqeZGDPGpqNHJz7GrliR3nWT73VpbLTpE0/Y1L0IdQbfRb+sF3LcJRt6CF6kbrJJ/jrcvj/7\nWc675EmMUaNg0KDUAdH79QvmFy8uV/0hJRH/3VaDqOiA2tWStWesiIwAuqfZdJGqDlPVi4GLReQC\n4AxgcJqyO6vqNBFZBxghIhNVNe0In4MGDaJnz54AdOnShcbGxh8eT9xJ5bo8duzYvMqXe/mmm2J0\n6wZHH23LwYDHtnzffTGOOw723DO/43ftassvvJB4vDfeiMWNcWJ5R67H33RTWx4/PkYsBjffbMvX\nXBOja1eYMsWW99gjxq9+BR9/3MSmm8Kdd8Y49dTE+q+9Fs4/v4mLLoJ11839+zFDH2PTTVPPp9Dv\n4803E6/XsmUxVGHp0iYOPhieftq29+rV5K4YN90Ep59emvozLTuq/XuNxWKMHTs2Mv+fqCw7qqkn\nFosxdOhQpk+fnqIrI6pa9AfYCBifQ7nLgHMzbNN6BlSbmmy+uVl1m21sXfjz1Vf5H/f1123fO++0\nqWPyZNUePYrXPXWqHfeee1S/+CJV869/bdPrrkvdN1xOVfXVV22+X7/8NNx4o+33t78Vfz6ODz5I\nvF6qqldfrXr++apnnJGo++qrbf6VV0pXv8dTKuK2M6vtLSbqZvPQ4kHAR2nKdBCR1ePzHYF9gRK+\nUqstnF942rQgiiNMvnnfIfCRJ7sVSuWjd+6f5cuD0MMwbpzU5HQBYbbc0qYdOtg03yEKM/nTi2Gr\nreDZZxPXNTSYayo55YPLTLnxxqXX4fFUgmJ89FeLyHgRGQfsDZwFICI9RMT9hboDr4vIWOBt4BlV\nfbEoxTmS8yNNBXBanOHN1Gko2T+cC5kMfal89O4Yp5wS1HXFFcF213Eq20hN7kVs7942nTw5Px3O\n8K6/fs67tMhqq9ng3hBoadfOvoNMhr59+9LVn4ko/m6rTVR0QO1qKbitpKq/yLD+G+CA+PwXQGOh\nddQbrmUaNvThePdCDL1rHSf33CxViz58jOZmy1IZZtYsuOWW7D1wH33Ups5gJo9BO3SopQ3OlNO9\nudmifwoZBDwfGhrsOj7wgC3fc49N3dNKJQy9x1MO6jZNsXuJEQWclmefhYceSuxQ5CJl1luvsKgO\nFwVz/fWJ6zO16PO9LuFjNDdbTPsttwTrli8PXDLJfPihxZ336JFZx8qVliVz5Ur45BO7GV55ZWLZ\n5mbLb1OKG1c6nJZ27SxpGdj4tk733nvDffelH4ikXFqiQFS0REUH1K6Wuk2BEFWOPRbeecfmd93V\npi+9ZINVF9Ki/0X8ucoZ/BdftJDLUvvoITD0yXHtmeLce/dO7cV6xhlBnPqoUYHGzz6znPDpUgy4\nestNQwO88YbNh29OnTtb6KXvhRk9fIK53KhbQx9lX1ryS8299jK3Rb6Gfvjw1HX77QeHHVY6H334\nZjFqlKUhdnlfHPl0aGpqsmPGYrEEF054TNnrrkvcZ/ny8hr6sI8e4Nxzy1dXrlqiQFS0ZNNR6Ztv\nVK4J+Hz0kSPZJ+0MffhH6l4E5kO6KBgwA58pBUK+hG8Wl11mLajkQbnzMfQdOlg2SLCnDsdtt9l0\n3XXh/PMt34yjubk8kTfJuPNw7xQ8nnqhbg19lHxpvXs3JSw7wx829O3b52/oO3dOv3611czfn84A\nF+Ojd+yzjw2/58jH0HfsaC88m5qa+Oab1O0LFtj00EODdddfX5rUxJlw18RF9ZSzrly1RIGoaImK\nDqhdLXVr6KPEvHlB13+3DEGGRCisRZ+pvIi9VOzVK7/jpSOdoW/VyhKVOfI19K5Fbz1nE3HRQy71\nwLx51vIfNiz3OgrFhX+6VMoeT71Qt4Y+Sr60446LJYyZunSpxZ2fckqwrl07G3g6HzK1PD//HC69\nNH0Hn3yvS9u26Q1ymEIMfUs6nPaRI2160EG515EvyVqKSTJXLFH63UZFS1R0QO1qqVtDHyXWWitx\n+dtvU33O33yT/6AW2Z4APvvMwhVLwXHHBX75e++16V//GmwvxEf/6ae2PHasRR05PvoI/vjHoNOS\ne6Ko5AvSSrwP8HgqSks5Eir1oY5z3dx8s+rppyfmftluu8QyAwfa+mOOUX34YdXFi1s+bkOD6m9+\no7r11qk5aMK5WorlrbeC4z39tK1butTqBtUJE3I/1vffq3bporrLLrbvkiW2fr31Ar233qp62mk2\nv9detn7FitKcS0uMHl25ujyeUkA5c914cqe52VwgYd5/P3F56FCbPvSQ+e7XXTf7MW+4wVw3+eaN\nKYRw9I57OmnbFnbZxebzdd3MmxfEq7vrMm1aUKZNG2vRz5wJL79s69K9KygHO+xQubo8nkpRtz/p\nKPnSRo+O0aZN9s4d3bolLofjytPhXBlLllgPVEdLccWFXJewKyPcC9alBMgnNUDbti6s0nQ4vX//\ne5D73g1f6Pzz5SZKvxWvJZWo6IDa1VK3hr5azJljvT/DPPYYbLttccd98MFgvNXwDSO5NV2OnoLh\nFn3Y6DsDny1zZTKZbkQnnQTvvWfzbdrYi+lswxV6PJ48aMm3U6kPdeKjf/bZRN94c7MtP/ecLWfz\nnyf712fNSty24YY2P2lSUGbKlMz++ZtvLs05ffxxcMywP374cFu3cmV+x2vpHcKDDyaWGTKkcO0e\nT72D99FXnuQUxC66xLVkP/8892N99VXi8uTJNnWdilZbzTr5DBliy+FOTGedBWeemXtd2QgP7L3B\nBsG8C+/Mtxv6l1/C4MGWUiEd776buHz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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -592,23 +723,29 @@ "source": [ "## Equities position\n", "\n", - "We use the futures and options COTR for contracts on both the S&P 500 and and its e-mini version, then average their position indicators. We can run this procedure by retrieval of a variable called *w4cotr_equities* (where w4 tells us that it's weekly series). \n", + "We use the futures and options COTR for contracts on both \n", + "the *S&P 500 and and its e-mini version*, then average their position indicators. \n", + "We can run this procedure by retrieval of a variable called *w4cotr_equities* \n", + "(where w4 tells us that it's weekly series). \n", "\n", - "It is worth noting that our position indicator is extremely bullish going into the Great Recession, however, even during the worst sell-offs in equities the indicator never goes into bear territory. We suspect this is because many asset managers are constrained to going net long. " + "It is worth noting that our position indicator is extremely bullish \n", + "going into the Great Recession, however, even during the worst sell-offs \n", + "in equities the indicator never goes into bear territory. \n", + "We suspect this is because many asset managers are constrained to going net long. " ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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ii1af/Y47CqsnE8KmyelJTdg0OT0+RWfYWzIdOsD778OPfmS1Y37xi0Ircjgc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\nwI2Y6XAkoWNHy1sfNswGKD7zTHg++kx8yCEwcaK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P0rVrfGTs5s0wZIhF3YBNQLJiRepjPPusJUh7Ouur43A4HKlJaeRVdTdwGTAJmA08rKpz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\nuhu4DJgEzAYeVtU5IjJWRMYGqn4FmKS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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -621,18 +758,29 @@ "plot( z_eq )" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### TECHNIQUE: normalize market indicator\n", + "\n", + "This basically translates the [0, 1] indicator into statistical terms. \n", + "A normalized series has 0 as its mean, and its units are stated \n", + "as standard deviations." + ] + }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Z4u2Zxt1L+RzlAtf0gHuaXNMD7mnyMXdPgxg5Mvm2hnSqejye0sTH3EuQ4cPh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\nraqTEzUcP348gwYNAqC8vJwxY8bsuuoFcatMl++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tOqPjRJmyMuLlHLfKJz17xuPJqrDbbtVs3py/8y9caDHrVKQLpwQx8aBj8+WX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\nMgIzZtgP66yzCq8lnxx/PJx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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -648,12 +796,17 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "2015-08-08: Given our data, the neutral mark is around 0.77 for equities position. Normalization shows we are currently over 1 standard deviation into bear territory, even though the market seems to make advances upward every day." + "2015-08-08: Given our data, the neutral mark is around 0.77 for equities position. \n", + "Normalized data shows we are currently over 1 standard deviation into bear territory, \n", + "even though the market seems to make advances upward every day.\n", + "\n", + "2016-01-18: Since the last Fed rate hike, equities indicator has gone under -2 std \n", + "which is the most bearish reading thus far -- *including the Great Recession!*" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 21, "metadata": { "collapsed": false }, @@ -667,9 +820,9 @@ }, { "data": { - "image/png": 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MnWv54j/6yFIWXHgh7L9/sVU1Ptwnn4F4HmuwPNannmr777+femz9ejjjDPjH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\nRyJyoYh0DStEpJuIXAR87JpcTwPVlDQ9SdTUS1W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PB9vhn6/v2rGfdP7Jdxz+OKCfd6FdgUpV/QZ4GjhRRCpFZEec62eyqtYCy0Sk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\nCnpy+X0pl22fYuqJxWKMHDmS2traOrr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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -679,33 +832,39 @@ "source": [ "# SPX price data showing the post-2009 equities bull market:\n", "spx = get( d4spx )\n", - "plot( spx['2006-06-12':])" + "plot( spx['2006-06-12':] )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Characterizing directionality\n", + "## Correlation among position indicators\n", "\n", - "Without graphical aids, we wish to quantify directionality. Let's compute the geometric mean return over two years on the positions data (as opposed to the underlying prices). So here we are computing the *rate* at which market sentiment is rising or falling." + "Note that this is quite different than the usual look at price correlations -- \n", + "it would be more akin to seeing how informed trading correlates across asset classes." ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "# class consists of precious metals, US dollar, bonds, equities:\n", - "z_class = [ z_metals, z_usd, z_bonds, z_eq ]" + "# class consists of precious metals, US dollar, bonds, equities:\n", + "z_class = [ z_metals, z_usd, z_bonds, z_eq ]\n", + "\n", + "z_data = paste( z_class )\n", + "z_data.columns = ['z_metals', 'z_usd', 'z_bonds', 'z_eq']\n", + "# Created \"group\" dataframe z_data with above named columns.\n", + "# Please see fecon235 module for more details." ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -714,24 +873,76 @@ "name": "stdout", "output_type": "stream", "text": [ - "[-17.17, -3.49, 52.31, 52]\n", - "[5.58, 8.21, 22.94, 52]\n", - "[-12.31, -5.8, 36.07, 52]\n", - "[-5.25, -4.64, 11.06, 52]\n" + " z_metals z_usd z_bonds z_eq\n", + "count 500.000000 500.000000 500.000000 500.000000\n", + "mean 0.793928 0.426817 0.625487 0.760595\n", + "std 0.138830 0.126658 0.121728 0.079848\n", + "min 0.458814 0.115009 0.318970 0.572008\n", + "25% 0.690709 0.334414 0.553198 0.706483\n", + "50% 0.828849 0.397585 0.634678 0.737262\n", + "75% 0.914398 0.534973 0.735099 0.807362\n", + "max 0.986663 0.766730 0.828573 0.932568\n", + "\n", + " :: Index on min:\n", + "z_metals 2015-07-21\n", + "z_usd 2006-11-28\n", + "z_bonds 2015-02-10\n", + "z_eq 2016-01-12\n", + "dtype: datetime64[ns]\n", + "\n", + " :: Index on max:\n", + "z_metals 2009-09-15\n", + "z_usd 2008-11-04\n", + "z_bonds 2010-02-02\n", + "z_eq 2007-05-29\n", + "dtype: datetime64[ns]\n", + "\n", + " :: Head:\n", + " z_metals z_usd z_bonds z_eq\n", + "Date \n", + "2006-06-13 0.780357 0.281513 0.647033 0.822280\n", + "2006-06-20 0.753881 0.278856 0.666125 0.831975\n", + "2006-06-27 0.744485 0.286700 0.658137 0.828952\n", + "2006-07-03 0.814733 0.287490 0.661316 0.835962\n", + "2006-07-11 0.844632 0.238682 0.670296 0.842244\n", + "2006-07-18 0.823423 0.208211 0.680698 0.830463\n", + "2006-07-25 0.830726 0.212226 0.662294 0.845535\n", + "\n", + " :: Tail:\n", + " z_metals z_usd z_bonds z_eq\n", + "Date \n", + "2015-12-01 0.505108 0.634222 0.415267 0.605873\n", + "2015-12-08 0.503900 0.640700 0.427966 0.600320\n", + "2015-12-15 0.476669 0.634973 0.458157 0.602185\n", + "2015-12-22 0.505865 0.634860 0.485277 0.595232\n", + "2015-12-29 0.483986 0.629510 0.491514 0.605502\n", + "2016-01-05 0.500215 0.623186 0.496034 0.577636\n", + "2016-01-12 0.522803 0.610352 0.501229 0.572008\n", + "\n", + " :: Correlation matrix:\n", + " z_metals z_usd z_bonds z_eq\n", + "z_metals 1.000000 -0.557377 0.603395 0.267038\n", + "z_usd -0.557377 1.000000 -0.397219 -0.349376\n", + "z_bonds 0.603395 -0.397219 1.000000 0.278966\n", + "z_eq 0.267038 -0.349376 0.278966 1.000000\n" ] } ], "source": [ - "# Sketch of code:\n", - "for i in z_class:\n", - " print georet( tail(i, 104), 52 )" + "stats( z_data )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "2015-08-08: Clearly market sentiment has the greatest variation in gold. Gold's directional reading of -14 is about the same magnitude as the US dollar, but opposite in sign as expected. The gold market is twice as bearish as the bond market, but almost five times as bearish as the equities market. " + "***No strong correlations among position indicators.*** \n", + "\n", + "As expected z_metals and z_usd are negatively correlated, \n", + "but precious metals sentiment is most correlated to bonds. \n", + "We have closely examined the relationship between gold and interest rates \n", + "in another notebook, and indeed, *real rates* are very significant. \n", + "Our bond indicator, however, only relates inversely to nominal rates." ] }, { @@ -740,142 +951,329 @@ "collapsed": true }, "source": [ - "## Current position relative to history\n", + "## Normalized position relative to history\n", + "\n", + "We saw that our position indicator may not entirely span [0,1] as expected \n", + "due to institutional reasons (see the equities case above). \n", + "Thus a *position indicator reading of 0.50 does not strictly \n", + "imply neutrality with respect to positions*.\n", "\n", - "We saw that our position indicator may not entirely span the [0,1] as expected due to institutional reasons (see the equities case above). So we can normalize a given series, and then look at the last point to gauge current market position." + "As a remedy, we can normalize an indicator, *relative to its history*, \n", + "and then look **comparatively across asset classes**, especially recent values.\n", + "\n", + "Be aware though that as history changes, a normalized indicator \n", + "for a given date will generally *not* stay fixed (unlike the [0,1] indicator)." ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 24, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Normalize indicators:\n", + "z_nor = groupfun( normalize, z_data )" + ] + }, + { + "cell_type": "code", + "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "-1.78818270716\n", - "1.18495247017\n", - "-1.87504049989\n", - "-1.71051222402\n" - ] + "data": { + "text/plain": [ + " z_metals z_usd z_bonds z_eq\n", + "Date \n", + "2015-07-28 -2.397536 1.738209 -2.035013 -0.980016\n", + "2015-08-04 -2.360331 1.830168 -1.749320 -1.073864\n", + "2015-08-11 -2.108856 1.699333 -1.741836 -1.084636\n", + "2015-08-18 -1.965351 1.466904 -1.686287 -1.078823\n", + "2015-08-25 -1.664973 1.086153 -1.747761 -1.538751\n", + "2015-09-01 -1.611363 1.362334 -1.661385 -1.618071\n", + "2015-09-08 -1.688794 1.524941 -1.574311 -1.614662\n", + "2015-09-15 -2.003987 1.544770 -1.449483 -1.749689\n", + "2015-09-22 -1.555358 1.717556 -1.607234 -1.859989\n", + "2015-09-29 -1.511154 1.593426 -1.519983 -1.948061\n", + "2015-10-06 -0.998605 1.451820 -1.575402 -1.692089\n", + "2015-10-13 -0.285950 1.422868 -1.669291 -1.666700\n", + "2015-10-20 0.117193 1.280852 -1.807818 -1.669211\n", + "2015-10-27 0.342607 1.615705 -2.052048 -1.615690\n", + "2015-11-03 -0.080483 1.637337 -2.080569 -1.806226\n", + "2015-11-10 -1.297465 1.616776 -2.099652 -1.997783\n", + "2015-11-17 -1.957013 1.724855 -1.935206 -2.170417\n", + "2015-12-01 -2.080381 1.637519 -1.726965 -1.937705\n", + "2015-12-08 -2.089085 1.688665 -1.622646 -2.007246\n", + "2015-12-15 -2.285228 1.643445 -1.374622 -1.983894\n", + "2015-12-22 -2.074928 1.642558 -1.151831 -2.070973\n", + "2015-12-29 -2.232522 1.600314 -1.100589 -1.942351\n", + "2016-01-05 -2.115624 1.550388 -1.063456 -2.291344\n", + "2016-01-12 -1.952927 1.449060 -1.020780 -2.361818" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "for i in z_class:\n", - " print tailvalue(normalize( i ))" + "# Compare recent normalized indicators:\n", + "tail( z_nor, 24 )" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "2015-12-16: This is the day of first Fed rate hike in almost a decade. \n", + "It is very instructive to compare the readings for the previous day \n", + "to the most recent output.\n", + "\n", + "2016-01-18: Both z_metals and z_eq are two standard deviations \n", + "into a bear market -- although their position indicators \n", + "are in neutral territory. This is a great example of \n", + "the utility of normalized position indicators.\n", + "\n", + "*Normalized positions can useful in the identification of \"overcrowded\" trades.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Correlation among position indicators\n", + "## Closing remarks\n", + "\n", + "In general, we hope that the position indicators are *not* correlated \n", + "too closely with the underlying prices because we are seeking information \n", + "which is not derivable from observable prices. \n", + "It is most interesting when market positions *diverge* \n", + "from identified patterns in price charts.\n", + "\n", + "**Normalized position indicators are useful to examine \n", + "asset classes since the units are comparable across \n", + "their COTR histories.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Appendix 1: COTR at the command line\n", "\n", - "Note that this is quite different than the usual look at price correlations -- it would be more akin to seeing how trader sentiment correlates across asset classes." + "We can algorithmically summarize this notebook for quick computation \n", + "by the function **groupcotr()**." ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "{'Bonds': 'w4cotr_bonds',\n", + " 'Equities': 'w4cotr_equities',\n", + " 'Metals': 'w4cotr_metals',\n", + " 'USD': 'w4cotr_usd'}" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Asset classes are specified as a \"group\" in a fecon235 dictionary:\n", + "cotr4w" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "\u001b[1;31mSignature: \u001b[0m\u001b[0mgroupcotr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mgroup\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m{\u001b[0m\u001b[1;34m'Equities'\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;34m'w4cotr_equities'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'USD'\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;34m'w4cotr_usd'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'Metals'\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;34m'w4cotr_metals'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m'Bonds'\u001b[0m\u001b[1;33m:\u001b[0m \u001b[1;34m'w4cotr_bonds'\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mSource:\u001b[0m\n", + "def groupcotr( group=cotr4w, alpha=0 ): \n", + " '''Compute latest normalized CFTC COTR position indicators.\n", + " Optionally specify alpha for Exponential Moving Average\n", + " which is a smoothing parameter: 0 < alpha < 1 (try 0.26)\n", + " COTR is the Commitment of Traders Report from US gov agency.\n", + " '''\n", + " # For detailed derivation, see qdl-COTR-positions.ipynb\n", + " positions = groupget( group )\n", + " norpositions = groupfun( normalize, positions )\n", + " # alpha default should skip SMOOTHING operation...\n", + " if alpha:\n", + " return groupfun( ema, norpositions, alpha )\n", + " else:\n", + " return norpositions\n", + "\u001b[1;31mFile: \u001b[0m~/Dropbox/ipy/fecon235/fecon235.py\n", + "\u001b[1;31mType: \u001b[0mfunction" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Source code for retrieval of COTR [0,1] position indicators\n", + "# (exactly like z_data, except column names are nicer), \n", + "# followed by operator to normalize the position indicators:\n", + "groupcotr??\n", + "\n", + "# This encapsulates the TECHNIQUES in this notebook,\n", + "# including the option to apply smoothing.\n", + "\n", + "# group* functions are defined in the fecon235 module." + ] + }, + { + "cell_type": "code", + "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "z_data = paste( z_class )\n", - "z_data.columns = ['z_metals', 'z_usd', 'z_bonds', 'z_eq']" + "# MAIN in action!\n", + "norpos = groupcotr( cotr4w, alpha=0 )" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - " z_metals z_usd z_bonds z_eq\n", - "count 481.000000 481.000000 481.000000 481.000000\n", - "mean 0.801825 0.418995 0.633102 0.766572\n", - "std 0.133681 0.122698 0.117527 0.075324\n", - "min 0.458814 0.115009 0.318970 0.617309\n", - "25% 0.700121 0.329470 0.566703 0.708683\n", - "50% 0.834483 0.391493 0.642794 0.743193\n", - "75% 0.917903 0.518659 0.736328 0.822280\n", - "max 0.986663 0.766730 0.828573 0.932568\n", - "\n", - " :: Index on min:\n", - "z_metals 2015-07-21\n", - "z_usd 2006-11-28\n", - "z_bonds 2015-02-10\n", - "z_eq 2011-10-04\n", - "dtype: datetime64[ns]\n", - "\n", - " :: Index on max:\n", - "z_metals 2009-09-15\n", - "z_usd 2008-11-04\n", - "z_bonds 2010-02-02\n", - "z_eq 2007-05-29\n", - "dtype: datetime64[ns]\n", - "\n", - " :: Head:\n", - " z_metals z_usd z_bonds z_eq\n", - "Date \n", - "2006-06-13 0.780357 0.281513 0.647033 0.822280\n", - "2006-06-20 0.753881 0.278856 0.666125 0.831975\n", - "2006-06-27 0.744485 0.286700 0.658137 0.828952\n", - "2006-07-03 0.814733 0.287490 0.661316 0.835962\n", - "2006-07-11 0.844632 0.238682 0.670296 0.842244\n", - "2006-07-18 0.823423 0.208211 0.680698 0.830463\n", - "2006-07-25 0.830726 0.212226 0.662294 0.845535\n", - "\n", - " :: Tail:\n", - " z_metals z_usd z_bonds z_eq\n", - "Date \n", - "2015-07-14 0.487203 0.640342 0.362161 0.703111\n", - "2015-07-21 0.458814 0.649880 0.368007 0.696851\n", - "2015-07-28 0.461077 0.646975 0.377769 0.682343\n", - "2015-08-04 0.466243 0.658623 0.412546 0.674849\n", - "2015-08-11 0.501155 0.642051 0.413457 0.673989\n", - "2015-08-18 0.521078 0.612612 0.420219 0.674453\n", - "2015-08-25 0.562779 0.564387 0.412735 0.637729\n", - "\n", - " :: Correlation matrix:\n", - " z_metals z_usd z_bonds z_eq\n", - "z_metals 1.000000 -0.520286 0.581109 0.177227\n", - "z_usd -0.520286 1.000000 -0.332394 -0.263607\n", - "z_bonds 0.581109 -0.332394 1.000000 0.184363\n", - "z_eq 0.177227 -0.263607 0.184363 1.000000\n" - ] + "data": { + "text/plain": [ + " Bonds Equities Metals USD\n", + "Date \n", + "2015-12-29 -1.100589 -1.942351 -2.232522 1.600314\n", + "2016-01-05 -1.063456 -2.291344 -2.115624 1.550388\n", + "2016-01-12 -1.020780 -2.361818 -1.952927 1.449060" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "stats( z_data )" + "# Most recent results as a test exhibit:\n", + "tail( norpos, 3 )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "***Thus in a few lines of fecon235 code, we can comparatively observe how \n", + "various asset classes are positioned in the futures and options market by informed traders.***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "No strong correlations among position indicators. As expected z_metals and z_usd are negatively correlated, but precious metals sentiment is most correlated to bonds. We have closely examined the relationship between gold and interest rates in another notebook, and indeed, *real rates* are very significant. Our bond indicator, however, only relates to nominal rates.\n", + "## Appendix 2: Joint path of Bonds and Equities\n", "\n", - "In general, we hope that the position indicators are *not* correlated too closely with the underlying prices because we are seeking information which is not derivable from observable prices. It is most interesting when market positions *diverge* from identified patterns in price charts." + "We found earlier that the linear correlation between Bonds and Equities \n", + "is about +28% with respect to their position indicators. \n", + "A scatter plot is useful to discern non-linearities, \n", + "but even better would be one with a ***heat map which reveals \n", + "their evolution chronologically.***" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], - "source": [] + "source": [ + "# To broadly visualize a decade of data, \n", + "# we resample the weekly normalized position indicators\n", + "# into MONTHLY frequency (median method).\n", + "norpos_month = groupfun( monthly, norpos )" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot from 2006 to present:\n", + "scatter( norpos_month, col=[0, 1] )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By using a color heat map, from blue to green to red, \n", + "we can visualize the joint path of Bonds and Equities \n", + "chronologically since 2006.\n", + "\n", + "The col argument tells us that the x-axis is for Bonds, \n", + "and the y-axis is for Equities. The *narrative* starts \n", + "just prior to the Great Recession, when they both \n", + "indicate bullish positions (Quandrand I in blue). \n", + "Due to the recovery in employment, the Great Recession \n", + "era is said to have concluded, but in 2016 \n", + "we find ourselves in joint bearish territory \n", + "(Quandrant III in red).\n", + "\n", + "From 2009 through 2015 (horizontal drift to the east from green to red), \n", + "Equities rose in price while its normalized position indicator fluctuated around -0.5. \n", + "During that epoch, the market increasing became more \n", + "bearish with respect to Bonds (from +1.3 to -2.2). \n", + "This coincides with ZIRP and numerous QE Fed policies\n", + "(Zero Interest Rate Policy and Quantitative Easing).\n", + "\n", + "The most recent all-time peak for the S&P 500 is 2130.82 \n", + "on 2015-05-21. Months later, on 2015-12-16 the Fed had its \n", + "first rate hike in almost a decade (thus terminating ZIRP). \n", + "The scatter plot illustrates the break from the foregoing \n", + "horizontal epoch (dark red points, Equities <= -2.0).\n", + "\n", + "It is important to note that *the narrative above is \n", + "not derived from price action, but rather the number of \n", + "contracts positioned in the futures and options markets* \n", + "by informed traders: Asset/Money Managers. " + ] } ], "metadata": { @@ -894,7 +1292,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", - "version": "2.7.10" + "version": "2.7.11" } }, "nbformat": 4,