{ "metadata": { "name": "", "signature": "sha256:897810651ad3dbb97a5563f259d8296e0534d9fbcc0c456facb9a376e802bc6b" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Euro currency qua Foreign Exchange" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "INTRO:_ We examine euro FX data from the Fed Reserve FRED database. Our synthetic time-series, which takes us far back as 1971, give additional perspective to observe the cross-rates against U.S. dollar and Japanese yen." ] }, { "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", " 2015-05-16 Code review and revision.\n", " 2014-10-09 First version using template dated 2014-09-28." ] }, { "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" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Tue May 19 17:03:53 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": [ " :: EURUSD" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Daily frequency:\n", "eurusd = getfred( d4eurusd )\n", "# Note that the synthetic preprend back to 1971 is only for monthly data." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( eurusd )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEYCAYAAACTG3dtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npbUw4QAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 2006 support for EURUSD as of Oct 2014 was around 1.24. Its breach requires us to know the resistance from the synthetic euro series. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Monthly frequency (daily frequency is not available):\n", "eursyn = getfred( m4eurusd )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: EURUSD synthetically goes back monthly to 1971.\n" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred(eursyn, 'EURUSD synthetic')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEYCAYAAACTG3dtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " :: Finished: plotdf-EURUSD_synthetic.png\n" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The support from 1985 implies the euro could easily descend to the 1.06 level based on the *synthetic series composed of the mean between DEM and FRF (converted at their official euro rates).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"**On 22 January 2015, Mario Draghi committed the ECB to a QE quantitative easing program worth at least 1.1 trillion euros** to counter the threat of a deflationary spiral. The ECB president shrugged off determined opposition led by German officials with a pledge to buy 60 billion euros every month through September 2016 in a once-and-for-all push to put more cash into circulation and revive inflation. To assuage critics, the region\u2019s 19 national central banks will make 80 percent of the purchases and take on any risk they carry.\" " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Define the day before QE-EU:\n", "qeeu = '2015-01-21'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "# What is the EURUSD low since QE-EU announcement?\n", "# On the day before, on 2015-01-21, the rate was 1.1584.\n", "stats( eurusd[qeeu:] )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Y\n", "count 83.000000\n", "mean 1.106006\n", "std 0.029410\n", "min 1.052400\n", "25% 1.079750\n", "50% 1.114500\n", "75% 1.133350\n", "max 1.158400\n", "\n", " :: Index on min:\n", "Y 2015-03-13\n", "dtype: datetime64[ns]\n", "\n", " :: Index on max:\n", "Y 2015-01-21\n", "dtype: datetime64[ns]\n", "\n", " :: Head:\n", " Y\n", "T \n", "2015-01-21 1.1584\n", "2015-01-22 1.1414\n", "2015-01-23 1.1279\n", "2015-01-26 1.1290\n", "2015-01-27 1.1370\n", "2015-01-28 1.1342\n", "2015-01-29 1.1308\n", "\n", " :: Tail:\n", " Y\n", "T \n", "2015-05-07 1.1283\n", "2015-05-08 1.1241\n", "2015-05-11 1.1142\n", "2015-05-12 1.1240\n", "2015-05-13 1.1372\n", "2015-05-14 1.1368\n", "2015-05-15 1.1428\n", "\n", " :: Correlation matrix:\n", " Y\n", "Y 1" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As of 2015-05-16: the EURUSD low post-QE-EU is **1.0524** on 2015-03-13 -- which a 9% decline in less than two months." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "EURUSD deviation from long-term trend" ] }, { "cell_type": "code", "collapsed": false, "input": [ "syntrend = trend( eursyn )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: regresstime slope = 0.000783027874247\n" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( syntrend )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEYCAYAAACTG3dtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nImVIxVtEpAz9P/5czxqdYtBbAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# Detrend:\n", "plotfred( eursyn - syntrend )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEYCAYAAACnYrZxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "tailvalue( syntrend )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "1.3243276659569534" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "October 2014: Looking at the detrended series, a deviation of -0.3 (i.e. -3000 pips) is plausible from the trend. Thus the statistically 1.3280 - 0.3 = 1.0280 is realistic. Given ECB implicitly wants the euro to weaken (LSAP not yet in effect, as of October 2014), we see the long-term support between 1.03 and 1.06." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "May 2015: Given QE announcement in January, 1.0524 definitively is the technical support dating back to 1985. The uptrend is unbroken, however, ..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though monetary policy is the primary reason for weakening euro, Greece is expected to face default conditions beginning the start of 2016, intensifying into the summer of 2016. *The euro crisis will be revisited as Grexit is a possibility on the horizon.*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Forecast monthly for next 24 months:\n", "holtfred( eursyn )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ " Forecast\n", "0 1.124100\n", "1 1.065482\n", "2 1.038455\n", "3 1.011428\n", "4 0.984401\n", "5 0.957374\n", "6 0.930347\n", "7 0.903320\n", "8 0.876293\n", "9 0.849266\n", "10 0.822239\n", "11 0.795212\n", "12 0.768185\n", "13 0.741158\n", "14 0.714131\n", "15 0.687104\n", "16 0.660077\n", "17 0.633050\n", "18 0.606023\n", "19 0.578996\n", "20 0.551969\n", "21 0.524942\n", "22 0.497915\n", "23 0.470888\n", "24 0.443861" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# Look at geometric return since 2006:\n", "georet( eurusd[t06:] )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "[-0.37, 0.12, 9.95, 256]" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "October 2014: Interestingly the annual geometric return post-US-Great-Recession is positive at 0.62% (which does not seem so in the charts visually). The volatility for EURUSD going back to 2006 is 10%." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "May 2015: The annual geometric return on EURUSD as FX has become negative at -0.55% due chiefly to QE-EU. That does not include negative rates on euro deposits! The one-year ahead forecast is 0.7662 which means the long-term trend will be broken. " ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ " :: EURJPY" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's derive the long-term synthetic rates for EURJPY." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# We retrieve the monthly frequency:\n", "usdjpy = getfred( m4usdjpy )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "# Since monthly eursysn is expressed in terms of EURUSD:\n", "eurjpy = todf( eursyn * usdjpy )" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "plotfred( eurjpy, 'EURJPY synthetic' )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEYCAYAAABBS301AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niGl8OwMAAAAASUVORK5CYII=\n", "text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " :: Finished: plotdf-EURJPY_synthetic.png\n" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "*The EURJPY trend since 1995 looks sideways, bouncing between 90 and 170.*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Verify trend claim:\n", "ej95trend = trend( eurjpy['1995-01-01':] )" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " :: regresstime slope = -0.00246059121507\n" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# The plot is uninteresting, just a straight line along 129.50 !\n", "# Look at the slope and the std for confirmation:\n", "ej95trend.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ " Y\n", "count 245.000000\n", "mean 129.483756\n", "std 0.174381\n", "min 129.183564\n", "25% 129.333660\n", "50% 129.483756\n", "75% 129.633852\n", "max 129.783949" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So basically the **EURJPY range is 130 \u00b1 40 since 1995.** *This is only apparent by observing the synthetic time-series.* \n", "\n", "It has large width, \u00b1 31% -- but the 130 level provides \"fair\" benchmark (cf. IMF assessment) for quick comparison." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Euro strength against the yen on a scale of 100:\n", "int((tailvalue( eurjpy ) - 90) / 0.80) \n", "\n", "# 2014-12-22: 71 One month prior to QE-EU, EURJPY = 146.83\n", "# 2015-01-21: 58 One day prior to QE-EU, EURJPY = 136.52\n", "# 2015-04-01: 51 Two months after QE-EU, EURJPY = 130.80\n", "# 2015-05-18: 55 Four months after QE-EU" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 37, "text": [ "55" ] } ], "prompt_number": 37 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Following the Great Recession, which devaluing faster, EUR or JPY, against the USD?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "georet( eurjpy[t06:], 12 )" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "[-0.39, 0.24, 11.23, 12]" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Surprisingly, the answer seems to be: neither, i.e. equally fast, from solely the FX viewpoint. Japan though embarked on its QE program many years ago, and still has not reversed that policy. Japan seems on its way out of economic misery whereas Europe seems to be under economic suppression." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Concluding remarks:_ \n", "\n", "- From the viewpoint of carry trades, the short side has to be the euro, simply because of the negative deposit rates. One is paid to go short!\n", "\n", "- The US is only country among the three major FX countries considering a upward hike in rates. Thus fundamentally the long side would be the dollar.\n", "\n", "- May 2015: EU has just begun their QE, and there is the possibility of Grexit looming -- all which indicate further weakening of the euro. The euro against the dollar may test the synthetic lows registered during the 1980's [All-time EURUSD low: 0.62 circa Feb 1985].\n", "\n", "- May 2015: Given 130 as fair EURJPY benchmark, Euro becomes a buy against the yen as it approaches 90 yen. " ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 } ], "metadata": {} } ] }