ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
notebook.ipynb
(823279B)
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7 "# The Capital Asset Pricing Model and Arbitrage Pricing Theory\n",
8 "\n",
9 "by Beha Abasi, Maxwell Margenot, and Delaney Granizo-Mackenzie\n",
10 "\n",
11 "Part of the Quantopian Lecture Series:\n",
12 "\n",
13 "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
14 "* [https://github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
15 "\n",
16 "\n",
17 "---\n",
18 "\n",
19 "The Capital Asset Pricing Model (CAPM) is a classic measure of the cost of capital. It is used often in finance to evaluate the price of assets and to assess the impact of the risk premium from the market at large. In this lecture, we discuss the CAPM the more general Arbitrage Pricing Theory (APT) to form a basis for evaluating the risk associated with various factors."
20 ]
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29 "source": [
30 "import numpy as np\n",
31 "import pandas as pd\n",
32 "import statsmodels.api as sm\n",
33 "from statsmodels import regression\n",
34 "import matplotlib.pyplot as plt"
35 ]
36 },
37 {
38 "cell_type": "markdown",
39 "metadata": {},
40 "source": [
41 "## Idiosyncratic and Systematic Risk\n",
42 "\n",
43 "In general, portfolios and assets can face two types of risk: idiosyncratic and systematic risk. **Idiosyncratic risk** refers to risks that are firm-specific and can be diversified away, such as a management change or a faulty production, while **systematic risk** is market-wide and affects all market participants. An example could be a slowing of the economy or a change in the interest rate. Because all firms are exposed to systematic risk, it cannot be diversified away.\n",
44 "\n",
45 "## Risk Premia\n",
46 "\n",
47 "As the number of assets in a portfolio increases, many of the idiosyncratic risks cancel out and are diversified away. This is the key reason why we want to avoid [position concentration risk](https://www.quantopian.com/lectures/position-concentration-risk). As your portfolio grows larger and makes more independent bets through diversification, the variance of the portfolio declines until only the systematic risk remains. As we cannot remove systematic risk, investors must be given a risk premium above the rate of risk-free return to compensate them for the risk they take on by investing in this portfolio. The individual firm-level risks in this portfolio do not have associated premia as this would create arbitrage opportunities. Shareholders could collect the risk premium while diversifying away the risk associated with them. That would mean additional profit without any additional exposure. This is the definition of an arbitrage opportunity!"
48 ]
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54 "From this reasoning we can conclude that the premium on an asset should have no relation to its idiosyncratic risk, but should instead rely solely on the level of systematic risk it carries. In order to accurately compute the risk premium of an asset, and consequently our expected return, we need to find a measure of systematic risk. If we have that, then we can theoretically define the return of an asset in the following way:\n",
55 "\n",
56 "$$E[\\mbox{Return}] = \\mbox{Risk-Free Rate of Return} + \\mbox{Risk Premium}$$\n",
57 "\n",
58 "One way to do this is to estimate how changes in the excess return of an asset are related to changes in the excess return of the market. Expressing this as a linear regression gives us the relationship as the change in expected return of an asset for each 1% change in the return of the market portfolio.\n",
59 "\n",
60 "In theory, this market portfolio should have no diversifiable risk left and would therefore only fluctuate with systematic shocks. In practice, we use a market index such as the S&P500 as a proxy for the market portfolio. The beta that we get from regressing an asset's returns on the returns of the market will be our measure of systematic risk. This beta represents the sensitivity of an asset's return stream to market-wide shocks.\n",
61 "\n",
62 "Given this beta, the risk premium of asset $i$ is defined as:\n",
63 "\n",
64 "$$\\mbox{Risk Premium of Asset}_i = \\beta (\\mbox{Market Risk Premium})$$\n",
65 "\n",
66 "We call this simplistic model the Capital Asset Pricing Model (CAPM).\n",
67 "\n",
68 "## Capital Asset Pricing Theory\n",
69 "\n",
70 "We can express the CAPM more clearly like so:\n",
71 "\n",
72 "$$E[R_i] = R_F + \\beta(E[R_M] - R_F)$$\n",
73 "\n",
74 "where $R_i$ is the return of asset $i$, $R_F$ is the risk-free rate, and $R_M$ is the return of the market. The CAPM is one of the most basic measures of the cost of capital. It determines the minimum return required to entice investors to hold a certain asset.\n",
75 "\n",
76 "To put it another way, CAPM says that the return of an asset should be the risk-free rate, which is what we would demand to account for inflation and the time value of money, as well as something extra to compensate us for the amount of systematic risk we are exposed to."
77 ]
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89 "<table class=\"simpletable\">\n",
90 "<caption>OLS Regression Results</caption>\n",
91 "<tr>\n",
92 " <th>Dep. Variable:</th> <td>y</td> <th> R-squared: </th> <td> 0.192</td>\n",
93 "</tr>\n",
94 "<tr>\n",
95 " <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.189</td>\n",
96 "</tr>\n",
97 "<tr>\n",
98 " <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 59.35</td>\n",
99 "</tr>\n",
100 "<tr>\n",
101 " <th>Date:</th> <td>Mon, 28 Aug 2017</td> <th> Prob (F-statistic):</th> <td>3.12e-13</td>\n",
102 "</tr>\n",
103 "<tr>\n",
104 " <th>Time:</th> <td>19:11:42</td> <th> Log-Likelihood: </th> <td> 749.29</td>\n",
105 "</tr>\n",
106 "<tr>\n",
107 " <th>No. Observations:</th> <td> 251</td> <th> AIC: </th> <td> -1495.</td>\n",
108 "</tr>\n",
109 "<tr>\n",
110 " <th>Df Residuals:</th> <td> 249</td> <th> BIC: </th> <td> -1488.</td>\n",
111 "</tr>\n",
112 "<tr>\n",
113 " <th>Df Model:</th> <td> 1</td> <th> </th> <td> </td> \n",
114 "</tr>\n",
115 "<tr>\n",
116 " <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
117 "</tr>\n",
118 "</table>\n",
119 "<table class=\"simpletable\">\n",
120 "<tr>\n",
121 " <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n",
122 "</tr>\n",
123 "<tr>\n",
124 " <th>const</th> <td> 0.0010</td> <td> 0.001</td> <td> 1.331</td> <td> 0.185</td> <td> -0.000 0.003</td>\n",
125 "</tr>\n",
126 "<tr>\n",
127 " <th>Equity(8554 [SPY])</th> <td> 0.8438</td> <td> 0.110</td> <td> 7.704</td> <td> 0.000</td> <td> 0.628 1.059</td>\n",
128 "</tr>\n",
129 "</table>\n",
130 "<table class=\"simpletable\">\n",
131 "<tr>\n",
132 " <th>Omnibus:</th> <td>74.662</td> <th> Durbin-Watson: </th> <td> 1.969</td>\n",
133 "</tr>\n",
134 "<tr>\n",
135 " <th>Prob(Omnibus):</th> <td> 0.000</td> <th> Jarque-Bera (JB): </th> <td>2468.684</td>\n",
136 "</tr>\n",
137 "<tr>\n",
138 " <th>Skew:</th> <td>-0.320</td> <th> Prob(JB): </th> <td> 0.00</td>\n",
139 "</tr>\n",
140 "<tr>\n",
141 " <th>Kurtosis:</th> <td>18.351</td> <th> Cond. No. </th> <td> 141.</td>\n",
142 "</tr>\n",
143 "</table>"
144 ],
145 "text/plain": [
146 "<class 'statsmodels.iolib.summary.Summary'>\n",
147 "\"\"\"\n",
148 " OLS Regression Results \n",
149 "==============================================================================\n",
150 "Dep. Variable: y R-squared: 0.192\n",
151 "Model: OLS Adj. R-squared: 0.189\n",
152 "Method: Least Squares F-statistic: 59.35\n",
153 "Date: Mon, 28 Aug 2017 Prob (F-statistic): 3.12e-13\n",
154 "Time: 19:11:42 Log-Likelihood: 749.29\n",
155 "No. Observations: 251 AIC: -1495.\n",
156 "Df Residuals: 249 BIC: -1488.\n",
157 "Df Model: 1 \n",
158 "Covariance Type: nonrobust \n",
159 "======================================================================================\n",
160 " coef std err t P>|t| [95.0% Conf. Int.]\n",
161 "--------------------------------------------------------------------------------------\n",
162 "const 0.0010 0.001 1.331 0.185 -0.000 0.003\n",
163 "Equity(8554 [SPY]) 0.8438 0.110 7.704 0.000 0.628 1.059\n",
164 "==============================================================================\n",
165 "Omnibus: 74.662 Durbin-Watson: 1.969\n",
166 "Prob(Omnibus): 0.000 Jarque-Bera (JB): 2468.684\n",
167 "Skew: -0.320 Prob(JB): 0.00\n",
168 "Kurtosis: 18.351 Cond. No. 141.\n",
169 "==============================================================================\n",
170 "\n",
171 "Warnings:\n",
172 "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
173 "\"\"\""
174 ]
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ws0RERETK4fVg6fDhw7h27RoSExOxevVqrFmzxuX+NWvWICEhAZ9++in27duH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\nCcgij6s20AJJPZMHBoyIzbuyuMuR4hV0eg9Fm4AlWeLLDB6IKaM9QL9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qFqLOtsWKEqsH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\nACjwBa/yOhLmgWvVAAAAAElFTkSuQmCC\n",
183 "text/plain": [
184 "<matplotlib.figure.Figure at 0x7f3e4448a810>"
185 ]
186 },
187 "metadata": {},
188 "output_type": "display_data"
189 }
190 ],
191 "source": [
192 "start_date = '2014-01-01'\n",
193 "end_date = '2014-12-31'\n",
194 "\n",
195 "# choose stock\n",
196 "R = get_pricing('AAPL', fields='price', start_date=start_date, end_date=end_date).pct_change()[1:]\n",
197 "\n",
198 "# risk-free proxy\n",
199 "R_F = get_pricing('BIL', fields='price', start_date=start_date, end_date=end_date).pct_change()[1:]\n",
200 "\n",
201 "# find it's beta against market\n",
202 "M = get_pricing('SPY', start_date=start_date, end_date=end_date, fields='price').pct_change()[1:]\n",
203 "\n",
204 "AAPL_results = regression.linear_model.OLS(R-R_F, sm.add_constant(M)).fit()\n",
205 "AAPL_beta = AAPL_results.params[1]\n",
206 "\n",
207 "M.plot()\n",
208 "R.plot()\n",
209 "R_F.plot()\n",
210 "plt.xlabel('Time')\n",
211 "plt.ylabel('Daily Percent Return')\n",
212 "plt.legend();\n",
213 "\n",
214 "AAPL_results.summary()"
215 ]
216 },
217 {
218 "cell_type": "markdown",
219 "metadata": {},
220 "source": [
221 "We can then use our calculated beta exposure to make predictions of returns."
222 ]
223 },
224 {
225 "cell_type": "code",
226 "execution_count": 3,
227 "metadata": {
228 "collapsed": false
229 },
230 "outputs": [
231 {
232 "data": {
233 "image/png": 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sVFZWwmQyYfny5XjppZeQn5+PiooKrFixAkuXLgUAXHTRRZg8eTJ+9KMf4a677sI111wD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\nCzLQ/dLw2AAAAABJRU5ErkJggg==\n",
234 "text/plain": [
235 "<matplotlib.figure.Figure at 0x7f3e452b4cd0>"
236 ]
237 },
238 "metadata": {},
239 "output_type": "display_data"
240 }
241 ],
242 "source": [
243 "predictions = R_F + AAPL_beta*(M - R_F) # CAPM equation\n",
244 "\n",
245 "predictions.plot()\n",
246 "R.plot(color='Y')\n",
247 "plt.legend(['Prediction', 'Actual Return'])\n",
248 "\n",
249 "plt.xlabel('Time')\n",
250 "plt.ylabel('Daily Percent Return');"
251 ]
252 },
253 {
254 "cell_type": "markdown",
255 "metadata": {},
256 "source": [
257 "## CAPM Assumptions\n",
258 "\n",
259 "In our derivation of the CAPM, we made two main assumptions:\n",
260 "* We assumed that investors are able to trade without delay or cost and that everyone is able to borrow or lend money at the risk free rate.\n",
261 "* We assumed that all investors are \"mean-variance optimizers\". What this essentially means is that they would only demand portfolios that have the highest return attainable for a given level of risk. These portfolios are all found along the **efficient frontier**.\n",
262 "\n",
263 "The following is a programmatic derivation of the efficient frontier for portfolios of four assets."
264 ]
265 },
266 {
267 "cell_type": "code",
268 "execution_count": 4,
269 "metadata": {
270 "collapsed": true
271 },
272 "outputs": [],
273 "source": [
274 "from scipy import optimize\n",
275 "import cvxopt as opt\n",
276 "from cvxopt import blas, solvers"
277 ]
278 },
279 {
280 "cell_type": "code",
281 "execution_count": 5,
282 "metadata": {
283 "collapsed": false
284 },
285 "outputs": [
286 {
287 "data": {
288 "image/png": 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iznX1aolBUsdjx+DSJcjOtrytTgeNGkHXrmrgdO+96lfTpuqXuKtJICWEEEII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/e+d7/PQHO8/SjxLqNKTV0gZ/skxgpolb+byNyq6RC0eV/PdO4Lm4hQvR0lXbci83a7ysvu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\nWbP0ww8/yOVyaf78+UpPT2/xnI0bN2rVqlVyuVzKz8/Xu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289 "text/plain": [
290 "<matplotlib.figure.Figure at 0x7f3e458d3050>"
291 ]
292 },
293 "metadata": {},
294 "output_type": "display_data"
295 }
296 ],
297 "source": [
298 "np.random.seed(123)\n",
299 "\n",
300 "# Turn off progress printing \n",
301 "solvers.options['show_progress'] = False\n",
302 "\n",
303 "# Number of assets\n",
304 "n_assets = 4\n",
305 "\n",
306 "# Number of observations\n",
307 "n_obs = 2000\n",
308 "\n",
309 "## Generating random returns for our 4 securities\n",
310 "return_vec = np.random.randn(n_assets, n_obs)\n",
311 "\n",
312 "def rand_weights(n):\n",
313 " ''' \n",
314 " Produces n random weights that sum to 1 \n",
315 " '''\n",
316 " k = np.random.rand(n)\n",
317 " return k / sum(k)\n",
318 "\n",
319 "def random_portfolio(returns):\n",
320 " ''' \n",
321 " Returns the mean and standard deviation of returns for a random portfolio\n",
322 " '''\n",
323 "\n",
324 " p = np.asmatrix(np.mean(returns, axis=1))\n",
325 " w = np.asmatrix(rand_weights(returns.shape[0]))\n",
326 " C = np.asmatrix(np.cov(returns))\n",
327 " \n",
328 " mu = w * p.T\n",
329 " sigma = np.sqrt(w * C * w.T)\n",
330 " \n",
331 " # This recursion reduces outliers to keep plots pretty\n",
332 " if sigma > 2:\n",
333 " return random_portfolio(returns)\n",
334 " return mu, sigma\n",
335 "\n",
336 "def optimal_portfolios(returns):\n",
337 " n = len(returns)\n",
338 " returns = np.asmatrix(returns)\n",
339 " \n",
340 " N = 100000\n",
341 " \n",
342 " # Creating a list of returns to optimize the risk for\n",
343 " mus = [100**(5.0 * t/N - 1.0) for t in range(N)]\n",
344 " \n",
345 " # Convert to cvxopt matrices\n",
346 " S = opt.matrix(np.cov(returns))\n",
347 " pbar = opt.matrix(np.mean(returns, axis=1))\n",
348 " \n",
349 " # Create constraint matrices\n",
350 " G = -opt.matrix(np.eye(n)) # negative n x n identity matrix\n",
351 " h = opt.matrix(0.0, (n ,1))\n",
352 " A = opt.matrix(1.0, (1, n))\n",
353 " b = opt.matrix(1.0)\n",
354 " \n",
355 " # Calculate efficient frontier weights using quadratic programming\n",
356 " portfolios = [solvers.qp(mu*S, -pbar, G, h, A, b)['x'] \n",
357 " for mu in mus]\n",
358 " \n",
359 " ## Calculate the risk and returns of the frontier\n",
360 " returns = [blas.dot(pbar, x) for x in portfolios]\n",
361 " risks = [np.sqrt(blas.dot(x, S*x)) for x in portfolios]\n",
362 " \n",
363 " return returns, risks\n",
364 "\n",
365 "n_portfolios = 50000\n",
366 "\n",
367 "means, stds = np.column_stack([random_portfolio(return_vec) for x in range(n_portfolios)])\n",
368 "\n",
369 "returns, risks = optimal_portfolios(return_vec)\n",
370 "\n",
371 "plt.plot(stds, means, 'o', markersize=2, color='navy')\n",
372 "plt.xlabel('Risk')\n",
373 "plt.ylabel('Return')\n",
374 "plt.title('Mean and Standard Deviation of Returns of Randomly Generated Portfolios');\n",
375 "\n",
376 "plt.plot(risks, returns, '-', markersize=3, color='red');\n",
377 "plt.legend(['Portfolios', 'Efficient Frontier']);"
378 ]
379 },
380 {
381 "cell_type": "markdown",
382 "metadata": {},
383 "source": [
384 "Each blue dot represents a different portfolio, while the red line skimming the outside of the cloud is the efficient frontier. The efficient frontier contains all portfolios that are the best for a given level of risk.\n",
385 "\n",
386 "The optimal, or most efficient, portfolio on this line is found by maximizing the Sharpe ratio, the ratio of excess return and volatility. We use this to determine the portfolio with the best risk-to-reward tradeoff.\n",
387 "\n",
388 "The line that represents the different combinations of a risk-free asset with a portfolio of risky assets is known as the Capital Allocations Line (CAL). The slope of the CAL is the Sharpe ratio. To maximize the Sharpe ratio, we need to find the steepest CAL, which coincides with the CAL that is tangential to the efficient frontier. This is why the efficient portfolio is sometimes referred to as the tangent portfolio."
389 ]
390 },
391 {
392 "cell_type": "code",
393 "execution_count": 6,
394 "metadata": {
395 "collapsed": false
396 },
397 "outputs": [
398 {
399 "data": {
400 "image/png": 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sgT//uVmPUJASERERkavSiRNWHn88gbVr0ykrq9x49sknNzF16iCWLZtEQIB3O45QWtzG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\nlIiIiIhc+oqKjE1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ynM3X/Yyd1wcz/7U9LDk3COs/MklMNP4HIDR0APPmjQEcmzVso7Cw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EKn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\nFRYWBq1Wi5ycHJw+fRo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401 "text/plain": [
402 "<matplotlib.figure.Figure at 0x7f3e389f2910>"
403 ]
404 },
405 "metadata": {},
406 "output_type": "display_data"
407 }
408 ],
409 "source": [
410 "def maximize_sharpe_ratio(return_vec, risk_free_rate):\n",
411 " \"\"\"\n",
412 " Finds the CAPM optimal portfolio from the efficient frontier \n",
413 " by optimizing the Sharpe ratio.\n",
414 " \"\"\"\n",
415 " \n",
416 " def find_sharpe(weights):\n",
417 " \n",
418 " means = [np.mean(asset) for asset in return_vec]\n",
419 " \n",
420 " numerator = sum(weights[m]*means[m] for m in range(len(means))) - risk_free_rate\n",
421 " \n",
422 " weight = np.array(weights)\n",
423 " \n",
424 " denominator = np.sqrt(weights.T.dot(np.corrcoef(return_vec).dot(weights)))\n",
425 " \n",
426 " return numerator/denominator\n",
427 " \n",
428 " guess = np.ones(len(return_vec)) / len(return_vec)\n",
429 " \n",
430 " def objective(weights):\n",
431 " return -find_sharpe(weights)\n",
432 " \n",
433 " # Set up equality constrained\n",
434 " cons = {'type':'eq', 'fun': lambda x: np.sum(np.abs(x)) - 1} \n",
435 "\n",
436 " # Set up bounds for individual weights\n",
437 " bnds = [(0, 1)] * len(return_vec)\n",
438 " \n",
439 " results = optimize.minimize(objective, guess,\n",
440 " constraints=cons, bounds=bnds, \n",
441 " method='SLSQP', options={'disp': False})\n",
442 " \n",
443 " return results\n",
444 "\n",
445 "risk_free_rate = np.mean(R_F)\n",
446 "\n",
447 "results = maximize_sharpe_ratio(return_vec, risk_free_rate)\n",
448 "\n",
449 "# Applying the optimal weights to each assset to get build portfolio\n",
450 "optimal_mean = sum(results.x[i]*np.mean(return_vec[i]) for i in range(len(results.x)))\n",
451 "\n",
452 "optimal_std = np.sqrt(results.x.T.dot(np.corrcoef(return_vec).dot(results.x)))\n",
453 "\n",
454 "# Plot of all possible portfolios\n",
455 "plt.plot(stds, means, 'o', markersize=2, color='navy')\n",
456 "plt.ylabel('Return')\n",
457 "plt.xlabel('Risk')\n",
458 "\n",
459 "# Line from the risk-free rate to the optimal portfolio\n",
460 "eqn_of_the_line = lambda x : ( (optimal_mean-risk_free_rate) / optimal_std ) * x + risk_free_rate \n",
461 "\n",
462 "xrange = np.linspace(0., 1., num=11)\n",
463 "\n",
464 "plt.plot(xrange, [eqn_of_the_line(x) for x in xrange], color='red', linestyle='-', linewidth=2)\n",
465 "\n",
466 "# Our optimal portfolio\n",
467 "plt.plot([optimal_std], [optimal_mean], marker='o', markersize=12, color=\"navy\")\n",
468 "\n",
469 "plt.legend(['Portfolios', 'Capital Allocation Line', 'Optimal Portfolio']);"
470 ]
471 },
472 {
473 "cell_type": "markdown",
474 "metadata": {},
475 "source": [
476 "We can look at the returns and risk of the individual assets compared to the optimal portfolio we found to easily showcase the power of diversification."
477 ]
478 },
479 {
480 "cell_type": "code",
481 "execution_count": 7,
482 "metadata": {
483 "collapsed": false
484 },
485 "outputs": [
486 {
487 "name": "stdout",
488 "output_type": "stream",
489 "text": [
490 "Return and Risk of Asset 0 : -0.0155874843425 , 0.979925446819\n",
491 "Return and Risk of Asset 1 : 0.0384158887148 , 0.985658403299\n",
492 "Return and Risk of Asset 2 : 0.0206467377992 , 0.991949738581\n",
493 "Return and Risk of Asset 3 : -0.00443686547651 , 1.00311968218\n",
494 "Return and Risk of Optimal Portfolio 0.0321127409574 0.73112973553\n"
495 ]
496 }
497 ],
498 "source": [
499 "for a in range(len(return_vec)): \n",
500 " print \"Return and Risk of Asset\", a, \":\", np.mean(return_vec[a]), \",\",np.std(return_vec[a]) \n",
501 " \n",
502 "print \"Return and Risk of Optimal Portfolio\", optimal_mean, optimal_std"
503 ]
504 },
505 {
506 "cell_type": "markdown",
507 "metadata": {},
508 "source": [
509 "# Capital Market Line is CAL through market portfolio"
510 ]
511 },
512 {
513 "cell_type": "markdown",
514 "metadata": {},
515 "source": [
516 "Our optimal portfolio has a decently high return as well as less risk than any individual asset, as expected. Theoeretically, all investors should demand this optimal, tangent portfolio. If we accumulate the portfolios of all investors, we end up with the market portfolio, since all shares must be held by someone. This means that the tangency portfolio is the market portfolio, essentially saying that demand must equal supply.\n",
517 "\n",
518 "When a risk-free asset is added to the portfolio, the Capital Asset Line turns into the Capital Market Line (CML). According to the CAPM, any stock or portfolio that lies to the right of CML would contain diversifiable risk and is therefore not efficient.\n",
519 "\n",
520 "The mapping of each security's beta to its expected return results in the Security Markets Line. The difference between a security's return and the expected return as predicted by CAPM is known as the alpha."
521 ]
522 },
523 {
524 "cell_type": "code",
525 "execution_count": 8,
526 "metadata": {
527 "collapsed": false
528 },
529 "outputs": [
530 {
531 "data": {
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oqCjn8+PGjWPmzJkEBwcTHh5Ou3btSEhIuOE5n376KRcuXCD4mk37Ll++zOTJ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\nefHEidI110hOp709AgAAIOgRuhBcfD5p2zYz1Xr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533 "text/plain": [
534 "<matplotlib.figure.Figure at 0x7f3e4524a1d0>"
535 ]
536 },
537 "metadata": {},
538 "output_type": "display_data"
539 }
540 ],
541 "source": [
542 "risk_free_rate = np.mean(R_F)\n",
543 "\n",
544 "# We have two coordinates that we use to map the SML: (0, risk-free rate) and (1, market return)\n",
545 "\n",
546 "eqn_of_the_line = lambda x : ( (np.mean(M)-risk_free_rate) / 1.0) * x + risk_free_rate \n",
547 "xrange = np.linspace(0., 2.5, num=2)\n",
548 "plt.plot(xrange, [eqn_of_the_line(x) for x in xrange], color='red', linestyle='-', linewidth=2)\n",
549 "\n",
550 "plt.plot([1], [np.mean(M)], marker='o', color='navy', markersize=10)\n",
551 "plt.annotate('Market', xy=(1, np.mean(M)), xytext=(0.9, np.mean(M)+0.00004))\n",
552 "\n",
553 "# Next, we will compare to see whether stocks in more cyclical industries have higher betas\n",
554 "# Of course, a more thorough analysis is required to rigorously answer this question\n",
555 "\n",
556 "# Non-Cyclical Industry Stocks\n",
557 "non_cyclical = ['PG', 'DUK', 'PFE']\n",
558 "non_cyclical_returns = get_pricing(\n",
559 " non_cyclical,\n",
560 " fields='price',\n",
561 " start_date=start_date,\n",
562 " end_date=end_date\n",
563 ").pct_change()[1:]\n",
564 "non_cyclical_returns.columns = map(lambda x: x.symbol, non_cyclical_returns.columns)\n",
565 "\n",
566 "non_cyclical_betas = [\n",
567 " regression.linear_model.OLS(\n",
568 " non_cyclical_returns[asset],\n",
569 " sm.add_constant(M)\n",
570 " ).fit().params[1]\n",
571 " for asset in non_cyclical\n",
572 "]\n",
573 "\n",
574 "for asset, beta in zip(non_cyclical, non_cyclical_betas):\n",
575 " plt.plot([beta], [np.mean(non_cyclical_returns[asset])], marker='o', color='g', markersize=10)\n",
576 " plt.annotate(\n",
577 " asset,\n",
578 " xy=(beta, np.mean(non_cyclical_returns[asset])),\n",
579 " xytext=(beta + 0.015, np.mean(non_cyclical_returns[asset]) + 0.000025)\n",
580 " )\n",
581 "\n",
582 "# Cyclical Industry Stocks\n",
583 "cyclical = ['RIO', 'SPG', 'ING']\n",
584 "cyclical_returns = get_pricing(\n",
585 " cyclical,\n",
586 " fields='price',\n",
587 " start_date=start_date,\n",
588 " end_date=end_date\n",
589 ").pct_change()[1:]\n",
590 "cyclical_returns.columns = map(lambda x: x.symbol, cyclical_returns.columns)\n",
591 "\n",
592 "cyclical_betas = [\n",
593 " regression.linear_model.OLS(\n",
594 " cyclical_returns[asset],\n",
595 " sm.add_constant(M)\n",
596 " ).fit().params[1]\n",
597 " for asset in cyclical\n",
598 "]\n",
599 "\n",
600 "for asset, beta in zip(cyclical, cyclical_betas):\n",
601 " plt.plot([beta], [np.mean(cyclical_returns[asset])], marker='o', color='y', markersize=10)\n",
602 " plt.annotate(\n",
603 " asset,\n",
604 " xy=(beta, np.mean(cyclical_returns[asset])),\n",
605 " xytext=(beta + 0.015, np.mean(cyclical_returns[asset]) + 0.000025)\n",
606 " )\n",
607 "\n",
608 "# drawing the alpha, which is the difference between expected return and the actual return\n",
609 "plt.plot(\n",
610 " [cyclical_betas[2], cyclical_betas[2]],\n",
611 " [np.mean(cyclical_returns.iloc[:, 2]), eqn_of_the_line(cyclical_betas[2])],\n",
612 " color='grey'\n",
613 ")\n",
614 "plt.annotate(\n",
615 " 'Alpha',\n",
616 " xy=(\n",
617 " cyclical_betas[2] + 0.05,\n",
618 " (eqn_of_the_line(cyclical_betas[2])-np.mean(cyclical_returns.iloc[:,2]))/2+np.mean(cyclical_returns.iloc[:,2])\n",
619 " ),\n",
620 " xytext=(\n",
621 " cyclical_betas[2] + 0.05,\n",
622 " (eqn_of_the_line(cyclical_betas[2])-np.mean(cyclical_returns.iloc[:,2]))/2+np.mean(cyclical_returns.iloc[:,2])\n",
623 " )\n",
624 ")\n",
625 "\n",
626 "plt.xlabel(\"Beta\")\n",
627 "plt.ylabel(\"Return\")\n",
628 "\n",
629 "plt.legend(['Security Market Line']);"
630 ]
631 },
632 {
633 "cell_type": "markdown",
634 "metadata": {},
635 "source": [
636 "For more details on the CAPM, check out the [wikipedia page](https://en.wikipedia.org/wiki/Capital_asset_pricing_model)."
637 ]
638 },
639 {
640 "cell_type": "markdown",
641 "metadata": {},
642 "source": [
643 "# Arbitrage Pricing Theory\n",
644 "\n",
645 "The CAPM, while widely used and studied, has many drawbacks. With strict, limiting assumptions, it does not hold up well in empirical tests. Arbitrage Pricing Theory (APT) aims to generalize the CAPM model, as assets may be exposed to classes of risks other than the market risk and investors may care about things other than just the mean and variance.\n",
646 "\n",
647 "APT is a major asset pricing theory that relies on expressing the returns using a linear factor model:\n",
648 "\n",
649 "$$R_i = a_i + b_{i1} F_1 + b_{i2} F_2 + \\ldots + b_{iK} F_K + \\epsilon_i$$\n",
650 "\n",
651 "A factor is a return stream that is determined completely by some characteristic. For example, the CAPM has only one factor, market return. If we have modelled our rate of return as above, then the expected returns should take the form of:\n",
652 "\n",
653 "$$ E(R_i) = R_F + b_{i1} \\lambda_1 + b_{i2} \\lambda_2 + \\ldots + b_{iK} \\lambda_K $$\n",
654 "\n",
655 "where $R_F$ is the risk-free rate, and $\\lambda_j$ is the risk premium - the return in excess of the risk-free rate - for factor $j$. This premium arises because investors require higher returns to compensate them for incurring higher risk.\n",
656 "\n",
657 "We'll compute the risk premia for our factors with Fama-Macbeth regression. However, there are various ways to compute each $\\lambda_j$!"
658 ]
659 },
660 {
661 "cell_type": "markdown",
662 "metadata": {
663 "collapsed": true
664 },
665 "source": [
666 "## Arbitrage\n",
667 "\n",
668 "Now that we have a reasonably general way to compute expected return, we can discuss arbitrage more technically. There are generally many, many securities in our universe. If we use different ones to compute the $\\{\\lambda_i\\}$, will our results be consistent? If our results are inconsistent, there is an *arbitrage opportunity* (in expectation), an operation that earns a profit without incurring risk and with no net investment of money. In this case, we mean that there is a risk-free operation with *expected* positive return that requires no net investment. It occurs when expectations of returns are inconsistent, i.e. risk is not priced consistently across securities.\n",
669 "\n",
670 "Say that there is an asset with expected rate of return 0.2 for the next year and a $\\beta$ of 1.2 with the market, while the market is expected to have a rate of return of 0.1, and the risk-free rate on 1-year bonds is 0.05. Then the APT model tells us that the expected rate of return on the asset should be\n",
671 "\n",
672 "$$ R_F + \\beta \\lambda = 0.05 + 1.2 (0.1 - 0.05) = 0.11$$\n",
673 "\n",
674 "This does not agree with the prediction that the asset will have a rate of return of 0.2. So, if we buy \\$100 of our asset, short \\$120 of the market, and buy \\$20 of bonds, we will have invested no net money and are not exposed to any systematic risk (we are market-neutral), but we expect to earn $0.2(100) - 0.1(120) + 0.05(20) = 9$ dollars at the end of the year.\n",
675 "\n",
676 "The APT assumes that these opportunities will be taken advantage of until prices shift and the arbitrage opportunities disappear. That is, it assumes that there are arbitrageurs who have sufficient amounts of patience and capital. This provides a justification for the use of empirical factor models in pricing securities: if the model was inconsistent, there would be an arbitrage opportunity, and so the prices would adjust."
677 ]
678 },
679 {
680 "cell_type": "markdown",
681 "metadata": {},
682 "source": [
683 "## Goes Both Ways\n",
684 "\n",
685 "Accurately knowing $E(R_i)$ is incredibly difficult, but this model tells us what the expected returns should be if the market is free of arbitrage. This lays the groundwork for strategies based on factor model ranking systems. If you have a model for the expected return of an asset, then you can rank those assets based on their expected performance and use this information to make trades. This creation of a ranking scheme is the hallmark of a [long-short equity strategy](https://www.quantopian.com/lectures/long-short-equity)"
686 ]
687 },
688 {
689 "cell_type": "markdown",
690 "metadata": {},
691 "source": [
692 "## Testing Arbitrage Pricing Theory\n",
693 "\n",
694 "Most empirical tests of the APT are done in two steps: estimating the betas of individual factors, then comparing it to actual prices to see how predictions fared.\n",
695 "\n",
696 "Here we will use the return streams from long-short equity strategies built from various microeconomic indicators as our factors. Then, we will use the Fama-Macbeth regression method to estimate our risk premia."
697 ]
698 },
699 {
700 "cell_type": "code",
701 "execution_count": 9,
702 "metadata": {
703 "collapsed": true
704 },
705 "outputs": [],
706 "source": [
707 "from quantopian.pipeline import Pipeline\n",
708 "from quantopian.pipeline.data import Fundamentals\n",
709 "from quantopian.pipeline.factors import Returns, Latest\n",
710 "from quantopian.pipeline.filters import Q1500US\n",
711 "from quantopian.research import run_pipeline\n",
712 "from quantopian.pipeline.classifiers.fundamentals import Sector\n",
713 "import itertools"
714 ]
715 },
716 {
717 "cell_type": "markdown",
718 "metadata": {},
719 "source": [
720 "Now we use pipeline to get all of our data."
721 ]
722 },
723 {
724 "cell_type": "code",
725 "execution_count": 10,
726 "metadata": {
727 "collapsed": false,
728 "scrolled": false
729 },
730 "outputs": [
731 {
732 "data": {
733 "text/html": [
734 "<div>\n",
735 "<table border=\"1\" class=\"dataframe\">\n",
736 " <thead>\n",
737 " <tr style=\"text-align: right;\">\n",
738 " <th></th>\n",
739 " <th></th>\n",
740 " <th>RD</th>\n",
741 " <th>RD_rank</th>\n",
742 " <th>Returns</th>\n",
743 " <th>least_RD</th>\n",
744 " <th>least_biz_bought</th>\n",
745 " <th>least_cash</th>\n",
746 " <th>most_RD</th>\n",
747 " <th>most_biz_bought</th>\n",
748 " <th>most_cash</th>\n",
749 " <th>operating_cash_flow</th>\n",
750 " <th>operating_cash_flow_rank</th>\n",
751 " <th>purchase_of_biz_rank</th>\n",
752 " <th>purchase_of_business</th>\n",
753 " </tr>\n",
754 " </thead>\n",
755 " <tbody>\n",
756 " <tr>\n",
757 " <th rowspan=\"5\" valign=\"top\">2014-01-02 00:00:00+00:00</th>\n",
758 " <th>Equity(2 [ARNC])</th>\n",
759 " <td>4.400000e+07</td>\n",
760 " <td>1557.0</td>\n",
761 " <td>0.009497</td>\n",
762 " <td>False</td>\n",
763 " <td>False</td>\n",
764 " <td>False</td>\n",
765 " <td>True</td>\n",
766 " <td>False</td>\n",
767 " <td>True</td>\n",
768 " <td>2.140000e+08</td>\n",
769 " <td>4408.0</td>\n",
770 " <td>1178.0</td>\n",
771 " <td>0.0</td>\n",
772 " </tr>\n",
773 " <tr>\n",
774 " <th>Equity(24 [AAPL])</th>\n",
775 " <td>1.168000e+09</td>\n",
776 " <td>1798.0</td>\n",
777 " <td>0.012011</td>\n",
778 " <td>False</td>\n",
779 " <td>True</td>\n",
780 " <td>False</td>\n",
781 " <td>True</td>\n",
782 " <td>False</td>\n",
783 " <td>True</td>\n",
784 " <td>9.908000e+09</td>\n",
785 " <td>5130.0</td>\n",
786 " <td>308.0</td>\n",
787 " <td>-53000000.0</td>\n",
788 " </tr>\n",
789 " <tr>\n",
790 " <th>Equity(25 [ARNC_PR])</th>\n",
791 " <td>4.400000e+07</td>\n",
792 " <td>1558.0</td>\n",
793 " <td>NaN</td>\n",
794 " <td>False</td>\n",
795 " <td>False</td>\n",
796 " <td>False</td>\n",
797 " <td>True</td>\n",
798 " <td>False</td>\n",
799 " <td>True</td>\n",
800 " <td>2.140000e+08</td>\n",
801 " <td>4409.0</td>\n",
802 " <td>1180.0</td>\n",
803 " <td>0.0</td>\n",
804 " </tr>\n",
805 " <tr>\n",
806 " <th>Equity(31 [ABAX])</th>\n",
807 " <td>3.418000e+06</td>\n",
808 " <td>732.0</td>\n",
809 " <td>-0.002990</td>\n",
810 " <td>True</td>\n",
811 " <td>False</td>\n",
812 " <td>False</td>\n",
813 " <td>False</td>\n",
814 " <td>False</td>\n",
815 " <td>False</td>\n",
816 " <td>2.019000e+06</td>\n",
817 " <td>1576.0</td>\n",
818 " <td>NaN</td>\n",
819 " <td>NaN</td>\n",
820 " </tr>\n",
821 " <tr>\n",
822 " <th>Equity(52 [ABM])</th>\n",
823 " <td>NaN</td>\n",
824 " <td>NaN</td>\n",
825 " <td>-0.007636</td>\n",
826 " <td>False</td>\n",
827 " <td>True</td>\n",
828 " <td>False</td>\n",
829 " <td>False</td>\n",
830 " <td>False</td>\n",
831 " <td>False</td>\n",
832 " <td>5.101200e+07</td>\n",
833 " <td>3480.0</td>\n",
834 " <td>643.0</td>\n",
835 " <td>-7982000.0</td>\n",
836 " </tr>\n",
837 " </tbody>\n",
838 "</table>\n",
839 "</div>"
840 ],
841 "text/plain": [
842 " RD RD_rank \\\n",
843 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) 4.400000e+07 1557.0 \n",
844 " Equity(24 [AAPL]) 1.168000e+09 1798.0 \n",
845 " Equity(25 [ARNC_PR]) 4.400000e+07 1558.0 \n",
846 " Equity(31 [ABAX]) 3.418000e+06 732.0 \n",
847 " Equity(52 [ABM]) NaN NaN \n",
848 "\n",
849 " Returns least_RD \\\n",
850 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) 0.009497 False \n",
851 " Equity(24 [AAPL]) 0.012011 False \n",
852 " Equity(25 [ARNC_PR]) NaN False \n",
853 " Equity(31 [ABAX]) -0.002990 True \n",
854 " Equity(52 [ABM]) -0.007636 False \n",
855 "\n",
856 " least_biz_bought least_cash \\\n",
857 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) False False \n",
858 " Equity(24 [AAPL]) True False \n",
859 " Equity(25 [ARNC_PR]) False False \n",
860 " Equity(31 [ABAX]) False False \n",
861 " Equity(52 [ABM]) True False \n",
862 "\n",
863 " most_RD most_biz_bought \\\n",
864 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) True False \n",
865 " Equity(24 [AAPL]) True False \n",
866 " Equity(25 [ARNC_PR]) True False \n",
867 " Equity(31 [ABAX]) False False \n",
868 " Equity(52 [ABM]) False False \n",
869 "\n",
870 " most_cash operating_cash_flow \\\n",
871 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) True 2.140000e+08 \n",
872 " Equity(24 [AAPL]) True 9.908000e+09 \n",
873 " Equity(25 [ARNC_PR]) True 2.140000e+08 \n",
874 " Equity(31 [ABAX]) False 2.019000e+06 \n",
875 " Equity(52 [ABM]) False 5.101200e+07 \n",
876 "\n",
877 " operating_cash_flow_rank \\\n",
878 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) 4408.0 \n",
879 " Equity(24 [AAPL]) 5130.0 \n",
880 " Equity(25 [ARNC_PR]) 4409.0 \n",
881 " Equity(31 [ABAX]) 1576.0 \n",
882 " Equity(52 [ABM]) 3480.0 \n",
883 "\n",
884 " purchase_of_biz_rank \\\n",
885 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) 1178.0 \n",
886 " Equity(24 [AAPL]) 308.0 \n",
887 " Equity(25 [ARNC_PR]) 1180.0 \n",
888 " Equity(31 [ABAX]) NaN \n",
889 " Equity(52 [ABM]) 643.0 \n",
890 "\n",
891 " purchase_of_business \n",
892 "2014-01-02 00:00:00+00:00 Equity(2 [ARNC]) 0.0 \n",
893 " Equity(24 [AAPL]) -53000000.0 \n",
894 " Equity(25 [ARNC_PR]) 0.0 \n",
895 " Equity(31 [ABAX]) NaN \n",
896 " Equity(52 [ABM]) -7982000.0 "
897 ]
898 },
899 "execution_count": 10,
900 "metadata": {},
901 "output_type": "execute_result"
902 }
903 ],
904 "source": [
905 "def make_pipeline():\n",
906 " \n",
907 " pipe = Pipeline()\n",
908 "\n",
909 " # Add our factors to the pipeline\n",
910 " purchase_of_biz = Latest([Fundamentals.purchase_of_business])\n",
911 " pipe.add(purchase_of_biz, 'purchase_of_business')\n",
912 " \n",
913 " RD = Latest([Fundamentals.research_and_development])\n",
914 " pipe.add(RD, 'RD')\n",
915 " \n",
916 " operating_cash_flow = Latest([Fundamentals.operating_cash_flow])\n",
917 " pipe.add(operating_cash_flow, 'operating_cash_flow')\n",
918 " \n",
919 " # Create factor rankings and add to pipeline\n",
920 " purchase_of_biz_rank = purchase_of_biz.rank()\n",
921 " RD_rank = RD.rank()\n",
922 " operating_cash_flow_rank = operating_cash_flow.rank()\n",
923 "\n",
924 " pipe.add(purchase_of_biz_rank, 'purchase_of_biz_rank')\n",
925 " pipe.add(RD_rank, 'RD_rank')\n",
926 " pipe.add(operating_cash_flow_rank, 'operating_cash_flow_rank')\n",
927 " \n",
928 " most_biz_bought = purchase_of_biz_rank.top(1000)\n",
929 " least_biz_bought = purchase_of_biz_rank.bottom(1000)\n",
930 " \n",
931 " most_RD = RD_rank.top(1000)\n",
932 " least_RD = RD_rank.bottom(1000)\n",
933 " \n",
934 " most_cash = operating_cash_flow_rank.top(1000)\n",
935 " least_cash = operating_cash_flow_rank.bottom(1000)\n",
936 " \n",
937 " pipe.add(most_biz_bought, 'most_biz_bought')\n",
938 " pipe.add(least_biz_bought, 'least_biz_bought')\n",
939 " \n",
940 " pipe.add(most_RD, 'most_RD')\n",
941 " pipe.add(least_RD, 'least_RD')\n",
942 " \n",
943 " pipe.add(most_cash, 'most_cash')\n",
944 " pipe.add(least_cash, 'least_cash')\n",
945 " \n",
946 " # We also get daily returns\n",
947 " returns = Returns(window_length=2)\n",
948 " \n",
949 " # and sector types\n",
950 " sectors = Sector()\n",
951 "\n",
952 " pipe.add(returns, \"Returns\")\n",
953 " \n",
954 " # We will focus on technology stocks in the Q1500\n",
955 " pipe.set_screen(\n",
956 " (Q1500US() & sectors.eq(311)) & \n",
957 " most_biz_bought | least_biz_bought | \n",
958 " most_RD | least_RD |\n",
959 " most_cash | least_cash\n",
960 " )\n",
961 " \n",
962 " return pipe\n",
963 "\n",
964 "pipe = make_pipeline()\n",
965 "results = run_pipeline(pipe, start_date, end_date)\n",
966 "\n",
967 "results.head()"
968 ]
969 },
970 {
971 "cell_type": "markdown",
972 "metadata": {},
973 "source": [
974 "To get our factor return streams, we rank equities based on their purchases of businesses, their R&D spending, and their cash flow. Then, for each indicator, we go long the assets in the top percentile and short the ones in the bottom. "
975 ]
976 },
977 {
978 "cell_type": "code",
979 "execution_count": 11,
980 "metadata": {
981 "collapsed": true
982 },
983 "outputs": [],
984 "source": [
985 "most_biz_bought = results[results.most_biz_bought]['Returns'].groupby(level=0).mean()\n",
986 "least_biz_bought = results[results.least_biz_bought]['Returns'].groupby(level=0).mean()\n",
987 "\n",
988 "most_RD = results[results.most_RD]['Returns'].groupby(level=0).mean()\n",
989 "least_RD = results[results.least_RD]['Returns'].groupby(level=0).mean()\n",
990 "\n",
991 "most_cash = results[results.most_cash]['Returns'].groupby(level=0).mean()\n",
992 "least_cash = results[results.least_cash]['Returns'].groupby(level=0).mean()\n",
993 "\n",
994 "# Calculating our factor return streams\n",
995 "biz_purchase_portfolio = most_biz_bought - least_biz_bought\n",
996 "RD_portfolio = most_RD - least_RD\n",
997 "cash_flow_portfolio = most_cash - least_cash"
998 ]
999 },
1000 {
1001 "cell_type": "markdown",
1002 "metadata": {},
1003 "source": [
1004 "Finally, we'll put everything together in our Fama-Macbeth regressions. This occurs in two steps.\n",
1005 "\n",
1006 "First, for each asset we regress its returns on each factor return stream:\n",
1007 "\n",
1008 "$$R_{1, t} = \\alpha_1 + \\beta_{1, F_1}F_{1, t} + \\beta_{1, F_2}F_{2, t} + \\dots + \\beta_{1, F_m}F_{m, t} + \\epsilon_{1, t} \\\\\n",
1009 "R_{2, t} = \\alpha_2 + \\beta_{2, F_1}F_{1, t} + \\beta_{2, F_2}F_{2, t} + \\dots + \\beta_{2, F_m}F_{m, t} + \\epsilon_{2, t} \\\\\n",
1010 "\\vdots \\\\\n",
1011 "R_{n, t} = \\alpha_n + \\beta_{n, F_1}F_{1, t} + \\beta_{n, F_2}F_{2, t} + \\dots + \\beta_{n, F_m}F_{m, t} + \\epsilon_{n, t}$$\n",
1012 "\n",
1013 "Second, we take the beta estimates from the first step and use those as our exogenous variables in an estimate of the mean return of each asset. This step is the calculation of our risk premia, $\\{\\gamma_K\\}$.\n",
1014 "\n",
1015 "$$E(R_i) = \\gamma_0 + \\gamma_1 \\hat{\\beta}_{i, F_1} + \\gamma_2 \\hat{\\beta}_{i, F_2} + \\dots + \\gamma_m \\hat{\\beta}_{i, F_m} + \\epsilon_i$$"
1016 ]
1017 },
1018 {
1019 "cell_type": "code",
1020 "execution_count": 12,
1021 "metadata": {
1022 "collapsed": false,
1023 "scrolled": false
1024 },
1025 "outputs": [
1026 {
1027 "data": {
1028 "text/html": [
1029 "<table class=\"simpletable\">\n",
1030 "<caption>OLS Regression Results</caption>\n",
1031 "<tr>\n",
1032 " <th>Dep. Variable:</th> <td>Returns</td> <th> R-squared: </th> <td> 0.065</td> \n",
1033 "</tr>\n",
1034 "<tr>\n",
1035 " <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.065</td> \n",
1036 "</tr>\n",
1037 "<tr>\n",
1038 " <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 103.9</td> \n",
1039 "</tr>\n",
1040 "<tr>\n",
1041 " <th>Date:</th> <td>Mon, 28 Aug 2017</td> <th> Prob (F-statistic):</th> <td>4.90e-65</td> \n",
1042 "</tr>\n",
1043 "<tr>\n",
1044 " <th>Time:</th> <td>19:13:41</td> <th> Log-Likelihood: </th> <td> 18879.</td> \n",
1045 "</tr>\n",
1046 "<tr>\n",
1047 " <th>No. Observations:</th> <td> 4453</td> <th> AIC: </th> <td>-3.775e+04</td>\n",
1048 "</tr>\n",
1049 "<tr>\n",
1050 " <th>Df Residuals:</th> <td> 4449</td> <th> BIC: </th> <td>-3.772e+04</td>\n",
1051 "</tr>\n",
1052 "<tr>\n",
1053 " <th>Df Model:</th> <td> 3</td> <th> </th> <td> </td> \n",
1054 "</tr>\n",
1055 "<tr>\n",
1056 " <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
1057 "</tr>\n",
1058 "</table>\n",
1059 "<table class=\"simpletable\">\n",
1060 "<tr>\n",
1061 " <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[95.0% Conf. Int.]</th> \n",
1062 "</tr>\n",
1063 "<tr>\n",
1064 " <th>const</th> <td> 0.0006</td> <td> 7.26e-05</td> <td> 8.258</td> <td> 0.000</td> <td> 0.000 0.001</td>\n",
1065 "</tr>\n",
1066 "<tr>\n",
1067 " <th>Purchase of Business</th> <td>-3.286e-05</td> <td> 2.61e-05</td> <td> -1.260</td> <td> 0.208</td> <td> -8.4e-05 1.83e-05</td>\n",
1068 "</tr>\n",
1069 "<tr>\n",
1070 " <th>RD</th> <td>-9.464e-05</td> <td> 3.02e-05</td> <td> -3.138</td> <td> 0.002</td> <td> -0.000 -3.55e-05</td>\n",
1071 "</tr>\n",
1072 "<tr>\n",
1073 " <th>Operating Cash Flow</th> <td> 0.0005</td> <td> 5.59e-05</td> <td> 8.203</td> <td> 0.000</td> <td> 0.000 0.001</td>\n",
1074 "</tr>\n",
1075 "</table>\n",
1076 "<table class=\"simpletable\">\n",
1077 "<tr>\n",
1078 " <th>Omnibus:</th> <td>3269.904</td> <th> Durbin-Watson: </th> <td> 1.920</td> \n",
1079 "</tr>\n",
1080 "<tr>\n",
1081 " <th>Prob(Omnibus):</th> <td> 0.000</td> <th> Jarque-Bera (JB): </th> <td>1499648.807</td>\n",
1082 "</tr>\n",
1083 "<tr>\n",
1084 " <th>Skew:</th> <td>-2.310</td> <th> Prob(JB): </th> <td> 0.00</td> \n",
1085 "</tr>\n",
1086 "<tr>\n",
1087 " <th>Kurtosis:</th> <td>92.784</td> <th> Cond. No. </th> <td> 9.11</td> \n",
1088 "</tr>\n",
1089 "</table>"
1090 ],
1091 "text/plain": [
1092 "<class 'statsmodels.iolib.summary.Summary'>\n",
1093 "\"\"\"\n",
1094 " OLS Regression Results \n",
1095 "==============================================================================\n",
1096 "Dep. Variable: Returns R-squared: 0.065\n",
1097 "Model: OLS Adj. R-squared: 0.065\n",
1098 "Method: Least Squares F-statistic: 103.9\n",
1099 "Date: Mon, 28 Aug 2017 Prob (F-statistic): 4.90e-65\n",
1100 "Time: 19:13:41 Log-Likelihood: 18879.\n",
1101 "No. Observations: 4453 AIC: -3.775e+04\n",
1102 "Df Residuals: 4449 BIC: -3.772e+04\n",
1103 "Df Model: 3 \n",
1104 "Covariance Type: nonrobust \n",
1105 "========================================================================================\n",
1106 " coef std err t P>|t| [95.0% Conf. Int.]\n",
1107 "----------------------------------------------------------------------------------------\n",
1108 "const 0.0006 7.26e-05 8.258 0.000 0.000 0.001\n",
1109 "Purchase of Business -3.286e-05 2.61e-05 -1.260 0.208 -8.4e-05 1.83e-05\n",
1110 "RD -9.464e-05 3.02e-05 -3.138 0.002 -0.000 -3.55e-05\n",
1111 "Operating Cash Flow 0.0005 5.59e-05 8.203 0.000 0.000 0.001\n",
1112 "==============================================================================\n",
1113 "Omnibus: 3269.904 Durbin-Watson: 1.920\n",
1114 "Prob(Omnibus): 0.000 Jarque-Bera (JB): 1499648.807\n",
1115 "Skew: -2.310 Prob(JB): 0.00\n",
1116 "Kurtosis: 92.784 Cond. No. 9.11\n",
1117 "==============================================================================\n",
1118 "\n",
1119 "Warnings:\n",
1120 "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
1121 "\"\"\""
1122 ]
1123 },
1124 "execution_count": 12,
1125 "metadata": {},
1126 "output_type": "execute_result"
1127 }
1128 ],
1129 "source": [
1130 "# putting all of our data from pipeline into a DataFrame for convenience\n",
1131 "# we'll have to first do some data manipulating since our factor return streams are date specific,\n",
1132 "# but our asset returns are both date and asset specific\n",
1133 "\n",
1134 "data = results[['Returns']].set_index(results.index)\n",
1135 "asset_list_sizes = [group[1].size for group in data.groupby(level=0)]\n",
1136 "\n",
1137 "purchase_of_biz_column = [\n",
1138 " [biz_purchase_portfolio.loc[group[0]]] * size\n",
1139 " for group, size in zip(data.groupby(level=0), asset_list_sizes)\n",
1140 "]\n",
1141 "data['Purchase of Business'] = list(itertools.chain(*purchase_of_biz_column))\n",
1142 "\n",
1143 "RD_column = [\n",
1144 " [RD_portfolio.loc[group[0]]] * size\n",
1145 " for group, size in zip(data.groupby(level=0), asset_list_sizes)\n",
1146 "]\n",
1147 "data['RD'] = list(itertools.chain(*RD_column))\n",
1148 "\n",
1149 "cash_flow_column = [\n",
1150 " [cash_flow_portfolio.loc[group[0]]] * size\n",
1151 " for group, size in zip(data.groupby(level=0), asset_list_sizes)\n",
1152 "]\n",
1153 "data['Operating Cash Flow'] = list(itertools.chain(*cash_flow_column))\n",
1154 "\n",
1155 "data = sm.add_constant(data.dropna())\n",
1156 "\n",
1157 "# Our list of assets from pipeline\n",
1158 "assets = data.index.levels[1].unique()\n",
1159 "\n",
1160 "X = [data.xs(asset, level=1)['Returns'] for asset in assets] \n",
1161 "Y = [\n",
1162 " data.xs(asset, level=1)[['Purchase of Business', 'RD', 'Operating Cash Flow', 'const']]\n",
1163 " for asset in assets\n",
1164 "]\n",
1165 "\n",
1166 "# First regression step: estimating the betas\n",
1167 "reg_results = [\n",
1168 " regression.linear_model.OLS(x-risk_free_rate, y).fit().params\n",
1169 " for x, y in zip(X, Y) if not(x.empty or y.empty)\n",
1170 "]\n",
1171 "indices = [asset for x, y, asset in zip(X, Y, assets) if not(x.empty or y.empty)]\n",
1172 "\n",
1173 "betas = pd.DataFrame(reg_results, index=indices)\n",
1174 "betas = sm.add_constant(betas.drop('const', axis=1))\n",
1175 "\n",
1176 "R = data['Returns'].mean(axis=0, level=1)\n",
1177 "\n",
1178 "# Second regression step: estimating the risk premia\n",
1179 "final_results = regression.linear_model.OLS(R - risk_free_rate, betas).fit()\n",
1180 "\n",
1181 "final_results.summary()"
1182 ]
1183 },
1184 {
1185 "cell_type": "markdown",
1186 "metadata": {
1187 "collapsed": true
1188 },
1189 "source": [
1190 "It is imperative that we not just use our model estimates at face value. A scan through the accompanying statistics can be highly insightful about the efficacy of our estimated model. For example, notice that although our individual factors are significant, we have a very low $R^2$. What this may suggest is that there is a real link between our factors and the returns of our assets, but that there still remains a lot of unexplained noise!\n",
1191 "\n",
1192 "For a more in-depth look at choosing factors, check out the [factor analysis lecture](https://www.quantopian.com/lectures/factor-analysis)!"
1193 ]
1194 },
1195 {
1196 "cell_type": "code",
1197 "execution_count": 13,
1198 "metadata": {
1199 "collapsed": false
1200 },
1201 "outputs": [
1202 {
1203 "name": "stdout",
1204 "output_type": "stream",
1205 "text": [
1206 " Purchase of Business RD Operating Cash Flow\n",
1207 "Purchase of Business 1.000000 -0.075791 -0.625021\n",
1208 "RD -0.075791 1.000000 0.032609\n",
1209 "Operating Cash Flow -0.625021 0.032609 1.000000\n"
1210 ]
1211 }
1212 ],
1213 "source": [
1214 "# smoke test for multicollinearity\n",
1215 "print data[['Purchase of Business', 'RD', 'Operating Cash Flow']].corr()"
1216 ]
1217 },
1218 {
1219 "cell_type": "markdown",
1220 "metadata": {},
1221 "source": [
1222 "Now that we have estimates for our risk premia we can combine these with our beta estimates from our original regression to estimate asset returns."
1223 ]
1224 },
1225 {
1226 "cell_type": "code",
1227 "execution_count": 14,
1228 "metadata": {
1229 "collapsed": false
1230 },
1231 "outputs": [
1232 {
1233 "data": {
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EERFRuWPAQ0SkzVTAs3XrVrS0tKCpqQn79+/HnXfeiaamJuXxZcuW4b/+67/Q0NCARYsW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\nrKwsTJs2Tf6eu5IaLeyvO+Xl5dizZw+eeeYZAMCZM2fQrl07uRRJusEpg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1235 "text/plain": [
1236 "<matplotlib.figure.Figure at 0x7f3e06cfafd0>"
1237 ]
1238 },
1239 "metadata": {},
1240 "output_type": "display_data"
1241 }
1242 ],
1243 "source": [
1244 "# this is our actual model!\n",
1245 "expected_return = risk_free_rate \\\n",
1246 " + betas['Purchase of Business']*final_results.params[1] \\\n",
1247 " + betas['RD']*final_results.params[2] \\\n",
1248 " + betas['Operating Cash Flow']*final_results.params[3]\n",
1249 "\n",
1250 "year_of_returns = get_pricing(\n",
1251 " expected_return.index,\n",
1252 " start_date,\n",
1253 " end_date,\n",
1254 " fields='close_price'\n",
1255 ").pct_change()[1:]\n",
1256 "\n",
1257 "plt.plot(year_of_returns[expected_return.index[1]], color='purple')\n",
1258 "plt.plot(pd.DataFrame({'Expected Return': expected_return.iloc[0]}, index=year_of_returns.index), color='red')\n",
1259 "plt.legend(['AAPL Returns', 'APT Prediction']);"
1260 ]
1261 },
1262 {
1263 "cell_type": "code",
1264 "execution_count": 15,
1265 "metadata": {
1266 "collapsed": false,
1267 "scrolled": false
1268 },
1269 "outputs": [
1270 {
1271 "data": {
1272 "image/png": 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T3YzOy8uLmTNn1piimJOTU2Nfq9Va43NPT89zXqut1rP3Ky8vtwews0fn6tOb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\n",
1273 "text/plain": [
1274 "<matplotlib.figure.Figure at 0x7f3e37d2a690>"
1275 ]
1276 },
1277 "metadata": {},
1278 "output_type": "display_data"
1279 }
1280 ],
1281 "source": [
1282 "# Compare AAPL prediction of CAPM vs. our APT model\n",
1283 "M_annual_return = get_pricing('SPY', start_date=start_date, end_date=end_date, fields='price').pct_change()[1:]\n",
1284 "\n",
1285 "# We'll take the market beta we calculated from the beginning of the lecture\n",
1286 "CAPM_AAPL_prediction = risk_free_rate + AAPL_beta*(M_annual_return.mean() - risk_free_rate)\n",
1287 "\n",
1288 "# Let's take a closer look\n",
1289 "year_of_returns = year_of_returns[:25]\n",
1290 "\n",
1291 "plt.plot(year_of_returns[expected_return.index[1]], color='purple')\n",
1292 "plt.plot(pd.DataFrame({'Expected Return': expected_return.iloc[0]}, index=year_of_returns.index), color='red')\n",
1293 "plt.plot(pd.DataFrame({'Expected Return': year_of_returns.mean()[0]}, index=year_of_returns.index), color='navy')\n",
1294 "plt.plot(pd.DataFrame({'Expected Return': CAPM_AAPL_prediction}, index=year_of_returns.index), color='green')\n",
1295 "plt.legend(['AAPL Returns', 'APT Prediction', 'AAPL Average Returns', 'CAPM Prediction']);\\"
1296 ]
1297 },
1298 {
1299 "cell_type": "markdown",
1300 "metadata": {},
1301 "source": [
1302 "Finally, as a rough comparison between APT and CAPM, we'll look at the returns from Long-Short strategies constructed using each model as the ranking scheme."
1303 ]
1304 },
1305 {
1306 "cell_type": "code",
1307 "execution_count": 16,
1308 "metadata": {
1309 "collapsed": false
1310 },
1311 "outputs": [
1312 {
1313 "name": "stdout",
1314 "output_type": "stream",
1315 "text": [
1316 "Returns after a year: APT versus CAPM\n",
1317 "0.317629468354\n"
1318 ]
1319 },
1320 {
1321 "data": {
1322 "image/png": 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jWW5urutetxtfc3Pc3hduf/2R6Av6IBJ90YC+oA9CWtMP+7ZUSbuDX3dK7XTM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\nQgghhLjg/T99vqK1GBEnGAAAAABJRU5ErkJggg==\n",
1323 "text/plain": [
1324 "<matplotlib.figure.Figure at 0x7f3e07b82e90>"
1325 ]
1326 },
1327 "metadata": {},
1328 "output_type": "display_data"
1329 }
1330 ],
1331 "source": [
1332 "market_betas = [\n",
1333 " regression.linear_model.OLS(x[1:], sm.add_constant(M_annual_return)).fit().params[1]\n",
1334 " for x in X if (x[1:].size == M_annual_return.size)\n",
1335 "]\n",
1336 "indices = [asset for x, asset in zip(X, assets) if (x[1:].size == M_annual_return.size)]\n",
1337 "\n",
1338 "market_return = pd.DataFrame({'Market': M_annual_return.mean()}, index = indices)\n",
1339 "\n",
1340 "CAPM_predictions = risk_free_rate + market_betas*(market_return['Market'] - risk_free_rate)\n",
1341 "CAPM_predictions.sort_values(inplace=True, ascending=False)\n",
1342 "\n",
1343 "CAPM_portfolio = [CAPM_predictions.head(5).index, CAPM_predictions.tail(5).index]\n",
1344 "CAPM_long = get_pricing(\n",
1345 " CAPM_portfolio[0],\n",
1346 " start_date=start_date,\n",
1347 " end_date=end_date,\n",
1348 " fields='price'\n",
1349 ").pct_change()[1:].mean(axis=1)\n",
1350 "CAPM_short = get_pricing(\n",
1351 " CAPM_portfolio[1],\n",
1352 " start_date=start_date,\n",
1353 " end_date=end_date,\n",
1354 " fields='price'\n",
1355 ").pct_change()[1:].mean(axis=1)\n",
1356 "\n",
1357 "CAPM_returns = CAPM_long - CAPM_short\n",
1358 "\n",
1359 "expected_return.sort_values(inplace=True, ascending=False)\n",
1360 "\n",
1361 "APT_portfolio = [expected_return.head(5).index, expected_return.tail(5).index]\n",
1362 "APT_long = get_pricing(\n",
1363 " APT_portfolio[0],\n",
1364 " start_date=start_date,\n",
1365 " end_date=end_date,\n",
1366 " fields='price'\n",
1367 ").pct_change()[1:].mean(axis=1)\n",
1368 "APT_short = get_pricing(\n",
1369 " APT_portfolio[1],\n",
1370 " start_date=start_date,\n",
1371 " end_date=end_date,\n",
1372 " fields='price'\n",
1373 ").pct_change()[1:].mean(axis=1)\n",
1374 "\n",
1375 "APT_returns = APT_long - APT_short\n",
1376 "\n",
1377 "plt.plot(CAPM_returns)\n",
1378 "plt.plot(APT_returns)\n",
1379 "plt.plot(pd.DataFrame({'Mean Return': CAPM_returns.mean()}, index=CAPM_returns.index))\n",
1380 "plt.plot(pd.DataFrame({'Mean Return': APT_returns.mean()}, index=APT_returns.index))\n",
1381 "plt.legend(['CAPM Portfolio', 'APT Portfolio', 'CAPM Mean', 'APT Mean'])\n",
1382 "\n",
1383 "print \"Returns after a year: APT versus CAPM\"\n",
1384 "print ((APT_returns[-1]/APT_returns[0]) - 1) - ((CAPM_returns[-1]/CAPM_returns[0])-1)"
1385 ]
1386 },
1387 {
1388 "cell_type": "markdown",
1389 "metadata": {
1390 "collapsed": true
1391 },
1392 "source": [
1393 "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
1394 ]
1395 }
1396 ],
1397 "metadata": {
1398 "kernelspec": {
1399 "display_name": "Python 2",
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