ml-finance-python
python scripts for finance machine learning
git clone https://9o.is/git/ml-finance-python.git
notebook.ipynb
(212184B)
1 {
2 "cells": [
3 {
4 "cell_type": "markdown",
5 "metadata": {},
6 "source": [
7 "# Leverage\n",
8 "by Maxwell Margenot and Delaney Granizo-Mackenzie\n",
9 "\n",
10 "Part of the Quantopian Lecture Series:\n",
11 "\n",
12 "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
13 "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
14 "\n",
15 "\n",
16 "---"
17 ]
18 },
19 {
20 "cell_type": "markdown",
21 "metadata": {},
22 "source": [
23 "## What is leverage?\n",
24 "\n",
25 "Leverage is borrowing money, then investing that money into some trading strategy so as to effectively multiply your initial capital base by some amount.\n",
26 "\n",
27 "### More Specifically\n",
28 "\n",
29 "Leverage is reinvesting debt to gain a greater return on an investment. We include debt in our asset portfolio as a financial instrument that pays one large cash flow upfront (the loan) and gradually pays negative cash flows out over time. The size of these negative cash flows is determined by the interest rate on our debt. The large upfront cashflow allows us to supplement our capital base. In this way we use our capital and our leverage together to purchase the assets necessary to execute our trading strategy.\n",
30 "\n",
31 "### Why would you do this?\n",
32 "\n",
33 "If you are confident in a strategy and believe it to be low risk, you can put more money than you currently have into that strategy in an effort to multiply your returns. You of course have to have confidence that the returns on your strategy will exceed the interest rate on your debt.\n",
34 "\n",
35 "#### Risk Adjusted Returns\n",
36 "\n",
37 "We'll talk about this more later, but risk adjusted return is expressed in the Sharpe Ratio (excess returns/risk). A strategy with a high Sharpe Ratio may not have good absolute returns, say $2\\%$ annually, but if the Sharpe Ratio is high the risk will also be correspondingly low. Multiplying the capital base multiplies both the risk and returns of the strategy, keeping the Sharpe Ratio the same. See lower in the notebook for more."
38 ]
39 },
40 {
41 "cell_type": "markdown",
42 "metadata": {},
43 "source": [
44 "## How do I use leverage?\n",
45 "\n",
46 "In the context of algorithmic trading we are specifically interested in margin and trading on margin. Trading on margin is a type of leverage as it involves taking out a loan from your broker and adding it to your capital base in order to increase the returns of your trading strategy. Since you are borrowing money to invest, you ideally only trade on margin when the returns of your strategy are greater than the interest that you pay on that debt. At many points in the execution of a trading strategy, you may attempt to make trades that would exceed your current capital. At this point, the broker checks if you are authorized to trade on margin (borrow money) and, if so, lends you the money necessary to execute the trade. Each person’s margin account will have different terms depending on their broker, size of account, risk of strategies, and other factors. \n",
47 "\n",
48 "If you have a profitable strategy, using leverage can prop up the amount of money that you make overall by padding the money that you are working with. The involvement of the broker is an important factor to consider when constructing algorithmic trading strategies because your trading strategy will borrow automatically as needed when you need more money to cover a position. You may want to limit how much leverage your strategy can take on so that you are not borrowing more than you are comfortable with.\n",
49 "\n",
50 "We measure the current leverage of a portfolio by examining the leverage ratio. The leverage ratio of an algorithm is calculated as the sum of your debt and your capital base divided by your capital base. We limit the amount of leverage that our strategy uses by limiting the leverage ratio.\n",
51 "\n",
52 "$$ \\text{Leverage Ratio} = \\frac{\\text{Debt} + \\text{Capital Base}}{\\text{Capital Base}}$$\n",
53 "\n",
54 "Let's look at a very simple example of how introducing leverage can affect a portfolio. Consider a single period model, consisting of today and tomorrow, in which we receive our returns tomorrow."
55 ]
56 },
57 {
58 "cell_type": "code",
59 "execution_count": 1,
60 "metadata": {
61 "collapsed": false
62 },
63 "outputs": [],
64 "source": [
65 "import numpy as np\n",
66 "import pandas as pd\n",
67 "import matplotlib.pyplot as plt\n",
68 "\n",
69 "from __future__ import division"
70 ]
71 },
72 {
73 "cell_type": "code",
74 "execution_count": 2,
75 "metadata": {
76 "collapsed": false,
77 "scrolled": true
78 },
79 "outputs": [
80 {
81 "name": "stdout",
82 "output_type": "stream",
83 "text": [
84 "Portfolio returns without leverage: 5000.0\n"
85 ]
86 }
87 ],
88 "source": [
89 "capital_base = 100000\n",
90 "r_p = 0.05 # Aggregate performance of assets in the portfolio\n",
91 "r_no_lvg = capital_base * r_p\n",
92 "print 'Portfolio returns without leverage: {0}'.format(r_no_lvg)"
93 ]
94 },
95 {
96 "cell_type": "markdown",
97 "metadata": {},
98 "source": [
99 "This is what portfolio returns look like without leverage. Let's add some debt, leveraging the portfolio, and see how the returns change."
100 ]
101 },
102 {
103 "cell_type": "code",
104 "execution_count": 3,
105 "metadata": {
106 "collapsed": false
107 },
108 "outputs": [
109 {
110 "name": "stdout",
111 "output_type": "stream",
112 "text": [
113 "Portfolio returns with leverage: 10000.0\n",
114 "Percentage returns with 2.0x leverage: 0.1\n"
115 ]
116 }
117 ],
118 "source": [
119 "debt = 100000\n",
120 "\n",
121 "r_lvg = (capital_base + debt) * r_p\n",
122 "r_lvg_pct = r_lvg / capital_base\n",
123 "# Returns are calculated over the initial capital base\n",
124 "# Think of the debt as an asset purchased and added to the portfolio\n",
125 "lvg_ratio = (debt + capital_base) / capital_base\n",
126 "print 'Portfolio returns with leverage: {0}'.format(r_lvg)\n",
127 "print 'Percentage returns with {1}x leverage: {0}'.format(r_lvg_pct, lvg_ratio)"
128 ]
129 },
130 {
131 "cell_type": "markdown",
132 "metadata": {},
133 "source": [
134 "This is the ideal situation, that someone would lend you money without asking for anything in return. It results in double the effective additive returns of an unlevered strategy, which is just delightful. However, we know that in the real world there is no way that this would actually happen. Let's consider what happens when we add in the effects of an interest payment in our one-period model."
135 ]
136 },
137 {
138 "cell_type": "code",
139 "execution_count": 4,
140 "metadata": {
141 "collapsed": false
142 },
143 "outputs": [
144 {
145 "name": "stdout",
146 "output_type": "stream",
147 "text": [
148 "Portfolio returns with leverage and interest: 6500.0\n",
149 "Percentage returns with 1.5x leverage and 2.0% interest: 0.065\n"
150 ]
151 }
152 ],
153 "source": [
154 "capital_base = 100000\n",
155 "debt = 50000\n",
156 "i = 0.02\n",
157 "r_p = 0.05\n",
158 "\n",
159 "int_pmt = i * debt\n",
160 "r_lvg = (capital_base + debt) * r_p\n",
161 "r_total = r_lvg - int_pmt\n",
162 "r_pct_lvg = r_total / capital_base\n",
163 "lvg_ratio = (capital_base + debt) / capital_base\n",
164 "print 'Portfolio returns with leverage and interest: {0}'.format(r_total)\n",
165 "print 'Percentage returns with {1}x leverage and {2}% interest: {0}'.format(r_pct_lvg, lvg_ratio, i * 100)"
166 ]
167 },
168 {
169 "cell_type": "markdown",
170 "metadata": {},
171 "source": [
172 "That makes a lot more sense. It would be unreasonable for us to assume that we can add someone else's money to our portfolio without some sort of repayment schedule. Our returns are not as high as they were in the levered portfolio with no interest, but we are still gaining a greater amount of wealth by using leverage, despite the interest rates. As long as we have a reliable strategy that can make sufficient returns to offset the cost of debt we will be able to benefit from levering a portfolio.\n",
173 "\n",
174 "Our additive returns have increased over our unlevered strategy, but overall we are gaining a lower percentage return. This is not entirely a bad thing, as with a larger amount of money to trade on we are able to add more overall value to our portfolio. However, if we are not careful with how we manage leverage, we could potentially end up spending all of our profits trying to pay off the interest that we accrued to make them in the first place.\n",
175 "\n",
176 "This single-period model is only a small piece of the story. Loans are rarely, if ever, paid off in one period. Payments are spread out over the life of a loan, ensuring that you do not simply get the money for free. In this context, to properly earn a profit using the leverage, we obviously have to be making more money than we are paying out."
177 ]
178 },
179 {
180 "cell_type": "markdown",
181 "metadata": {},
182 "source": [
183 "## How do I get leverage?\n",
184 "\n",
185 "Naturally, borrowing money to do anything will incur interest payments and additional fees. When trading with leverage, or on margin, these loans will come from your broker. Many brokers are loathe to part with their cash without a good reason. Using leverage with high volatility strategies can be dangerous unless you have a high tolerance for risk. Even if you lose money, you still have to pay the broker!"
186 ]
187 },
188 {
189 "cell_type": "markdown",
190 "metadata": {},
191 "source": [
192 "## Leverage in an algorithm\n",
193 "\n",
194 "Handling leverage gets significantly more complicated when we are dealing with an algorithm. Every time an algorithm rebalances its portfolio or makes a trade, there is a possibility of affecting the leverage ratio. If there isn't enough cash on hand to cover its positions it will need to borrow more. In the same vein, it may be utilizing overall less cash for the next set of trades, decreasing the leverage ratio.\n",
195 "\n",
196 "This is a backtest from our template long-short algorithm attached to our [long-short equity lecture](https://www.quantopian.com/lectures/long-short-equity) over the year 2015 (Note that an upgrade to this template algorithm is coming soon)."
197 ]
198 },
199 {
200 "cell_type": "code",
201 "execution_count": 5,
202 "metadata": {
203 "collapsed": false
204 },
205 "outputs": [
206 {
207 "name": "stdout",
208 "output_type": "stream",
209 "text": [
210 "100% Time: 0:00:03|###########################################################|\n"
211 ]
212 }
213 ],
214 "source": [
215 "bt = get_backtest('57e297562a42c9103c11a920')"
216 ]
217 },
218 {
219 "cell_type": "code",
220 "execution_count": 6,
221 "metadata": {
222 "collapsed": false,
223 "scrolled": false
224 },
225 "outputs": [],
226 "source": [
227 "recorded_vars = bt.recorded_vars\n",
228 "leverage = recorded_vars['leverage']\n",
229 "daily_performance = bt.daily_performance\n",
230 "daily_returns = daily_performance['returns']"
231 ]
232 },
233 {
234 "cell_type": "code",
235 "execution_count": 7,
236 "metadata": {
237 "collapsed": false,
238 "scrolled": false
239 },
240 "outputs": [
241 {
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2DEVFRRg7diysVqv02lOnTsX48eMxa9Ys3HHHHYiPj8fChQtbvM7V28XFxWHBggVtjm3c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\n9zFoSHl5ORYsWIC5c+eiW7dudZ5v6tyfe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244 "text/plain": [
245 "<matplotlib.figure.Figure at 0x7f0506660ed0>"
246 ]
247 },
248 "metadata": {},
249 "output_type": "display_data"
250 }
251 ],
252 "source": [
253 "plt.plot(leverage);\n",
254 "plt.title(\"Leverage Ratio of a Trading Algorithm Over Time\")\n",
255 "plt.xlabel('Date');\n",
256 "plt.ylabel('Leverage Ratio');\n",
257 "plt.legend();"
258 ]
259 },
260 {
261 "cell_type": "markdown",
262 "metadata": {},
263 "source": [
264 "Here is the leverage ratio of this algorithm plotted over time. Notice how it jumps around quite frequently. The ratio is below $1$ when it is not using all of its base capital and it spikes above $1$ whenever it makes a trade on margin. The algorithm associated with this leverage ratio is a long-short equity algorithm based on a combination of fundamental factors. For an overview of how a long-short equity strategy works, please see the [lectures](https://www.quantopian.com/lectures/long-short-equity) page.\n",
265 "\n",
266 "A key feature of this sort of strategy is that it can trade hundreds, sometimes even thousands of equities at once. As such, we run the risk of incurring some fairly large rebalancing costs, depending on how frequently we rebalance. This algorithm specifically rebalances on a monthly basis. As we can see on the above graph of the leverage ratio, a lot of the largest changes occur aroud the start of each month.\n",
267 "\n",
268 "To see how the rebalancing structure and maximum leverage can affect the leverage ratio of the algorithm when it is executed, go into the the template and modify these parameters. Changing the type of algorithm will also drastically affect how it uses leverage. Feel free to experiment.\n",
269 "\n",
270 "Things to try:\n",
271 "1. Change the timing of the rebalancing between daily, monthly, and weekly.\n",
272 "2. Modify the amount of leverage that the portfolio is allowed to take on\n",
273 "3. Restrict the universe that the algorithm trades within by applying more filters to your trading universe.\n",
274 "4. Instead of making all portfolio weights equally-weighted, use a portfolio optimization scheme like [Markowitz or Mean Absolute Deviation](https://www.quantopian.com/posts/mad-portfolio-an-alternative-to-markowitz) portfolio optimization.\n",
275 "\n",
276 "\n",
277 "Here are the associated returns of this algorithm. The volatility of these returns is important to take into account when examining the leverage of a strategy."
278 ]
279 },
280 {
281 "cell_type": "code",
282 "execution_count": 8,
283 "metadata": {
284 "collapsed": false
285 },
286 "outputs": [
287 {
288 "data": {
289 "image/png": 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LLbfk+VQIIYQQQnIl2Rwo99+2GPM518K3PEgLHwuosUSm8E3Inzf3Auq+++7DVVddBQC4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\nmkhJf6CFL4iY+6Fa+AxDg+1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mdbGY2e0VUPWmGVCZGk0r8HFyC5/7r1jopgmRUJW+vJ0S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rgGiuh7N12zPHDuVswVkRBqoExbKmGexDK6GqkY1JYKn0TGXMygJhUF8BtJHYchSNkYBCoxhU8I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\nmDGDkJAQmjRpAkD37t1ZtmwZUVF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290 "text/plain": [
291 "<matplotlib.figure.Figure at 0x7f0505a56410>"
292 ]
293 },
294 "metadata": {},
295 "output_type": "display_data"
296 }
297 ],
298 "source": [
299 "plt.plot(daily_returns);\n",
300 "plt.xlabel('Date');\n",
301 "plt.ylabel('Daily Returns');\n",
302 "plt.legend();"
303 ]
304 },
305 {
306 "cell_type": "code",
307 "execution_count": 9,
308 "metadata": {
309 "collapsed": false
310 },
311 "outputs": [
312 {
313 "name": "stdout",
314 "output_type": "stream",
315 "text": [
316 "Mean return: 0.000205560596422\n",
317 "Volatility: 0.00413576215927\n"
318 ]
319 }
320 ],
321 "source": [
322 "print \"Mean return: \", daily_returns.mean()\n",
323 "print \"Volatility: \", daily_returns.std()"
324 ]
325 },
326 {
327 "cell_type": "markdown",
328 "metadata": {},
329 "source": [
330 "Using leverage can be dangerous when you are dealing with a more volatile strategy. Because you are trading with borrowed money, we are on the hook to return it. We have to make sure that the broker gets his money back before we get our profit. If we end up in a position where we get a margin call, we have to pony up more funds if we want to hold our positions. Monitoring your strategy's volatility and ensuring you are only taking on palatable amounts of debt are key aspects of determining the quality of your trading strategy."
331 ]
332 },
333 {
334 "cell_type": "markdown",
335 "metadata": {},
336 "source": [
337 "## Risk-Adjusted Returns\n",
338 "\n",
339 "Comparing returns of different investment opportunities without taking risk into account is meaningless. Some return streams may be higher than others, but this may be due to the risks taken on rather than any merit in the strategy itself. Taking on higher risk should in theory lead to higher returns, but then how do we judge the quality of these returns for the amount of risk we have to handle? This is where risk-adjusted returns and methods of risk-adjustment come into play. If we adjust several return streams for risk then we can consider them on equal footing, independent of the risk. This allows us to effectively compare and determine which return streams are the best for a given desired risk profile.`\n",
340 "\n",
341 "One of the most prominent risk-adjusted measures is the Sharpe Ratio, defined as follows.\n",
342 "\n",
343 "$$ \\text{Sharpe Ratio} = \\frac{r_p - r_f}{\\sigma_p} $$\n",
344 "\n",
345 "The Sharpe Ratio essentially normalizes the returns of a portfolio, giving us a metric that we can use as a measure of quality relative to other revenue streams. A higher Sharpe Ratio indicates that you are getting more return relative to the risk that your strategy is taking on."
346 ]
347 },
348 {
349 "cell_type": "markdown",
350 "metadata": {},
351 "source": [
352 "#### Compare Strategies by Sharpe Ratio and then Lever as Needed\n",
353 "\n",
354 "In general you want to compare the Sharpe Ratio of two strategies you may be interested in. Pick the strategy with the better Sharpe Ratio and then use leverage to multiply the returns up to where you want them. Assuming constraints like capital capacity don't kick in, you can add more money through leverage and bring a $2\\%$ per year strategy up to a $10\\%$ per year strategy while maintaining the same Sharpe, or invest a fraction of your available capital to bring a $20\\%$ per year strategy's risk down to acceptable levels.\n",
355 "\n",
356 "#### Example\n",
357 "\n",
358 "We'll show a simple example using real numbers."
359 ]
360 },
361 {
362 "cell_type": "code",
363 "execution_count": 10,
364 "metadata": {
365 "collapsed": false
366 },
367 "outputs": [
368 {
369 "name": "stdout",
370 "output_type": "stream",
371 "text": [
372 "Strategy A Sharpe: 1.33333333333\n",
373 "Strategy B Sharpe: 1.5\n",
374 "Strategy B Sharpe: 1.5\n",
375 "Strategy B Levered Annual Returns: 0.09\n"
376 ]
377 }
378 ],
379 "source": [
380 "# Note these are all expected returns. You need to validate that\n",
381 "# your strategy will continue to produce these returns and volatility using other methods.\n",
382 "# Just measuring historically is a very poor predictor of future performance.\n",
383 "# We'll for now assume you've already validated that you can expect to keep seeing numbers similar to these.\n",
384 "\n",
385 "strat_A_ann_return = 0.22\n",
386 "strat_A_ann_vol = 0.15\n",
387 "\n",
388 "strat_B_ann_return = 0.05\n",
389 "strat_B_ann_vol = 0.02\n",
390 "\n",
391 "# We'll assume a risk free rate of 0.02\n",
392 "risk_free_rate = 0.02\n",
393 "\n",
394 "print 'Strategy A Sharpe: %s' % ((strat_A_ann_return - risk_free_rate) / strat_A_ann_vol)\n",
395 "print 'Strategy B Sharpe: %s' % ((strat_B_ann_return - risk_free_rate) / strat_B_ann_vol)\n",
396 "\n",
397 "# Add in leverage to B\n",
398 "\n",
399 "leverage = 3\n",
400 "# Expressed in returns\n",
401 "\n",
402 "print 'Strategy B Sharpe: %s' % (\n",
403 " (strat_B_ann_return * leverage - risk_free_rate * leverage) / (strat_B_ann_vol * leverage)\n",
404 ")\n",
405 "print 'Strategy B Levered Annual Returns: %s' % (\n",
406 " (strat_B_ann_return * leverage - risk_free_rate * leverage)\n",
407 ")"
408 ]
409 },
410 {
411 "cell_type": "markdown",
412 "metadata": {},
413 "source": [
414 "### Portfolio Re-Weighting\n",
415 "\n",
416 "Portfolio weighting can be considered an example of applying leverage to a strategy. If you assign more of your portfolio weight to a strategy, you have upped the capital amount and multiplied both the returns and volatility. Likewise, if you have a strategy that has high returns but high volatility, you can provide it less weight so that you divide the volatility."
417 ]
418 },
419 {
420 "cell_type": "markdown",
421 "metadata": {},
422 "source": [
423 "*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.*"
424 ]
425 }
426 ],
427 "metadata": {
428 "kernelspec": {
429 "display_name": "Python 2",
430 "language": "python",
431 "name": "python2"
432 },
433 "language_info": {
434 "codemirror_mode": {
435 "name": "ipython",
436 "version": 2
437 },
438 "file_extension": ".py",
439 "mimetype": "text/x-python",
440 "name": "python",
441 "nbconvert_exporter": "python",
442 "pygments_lexer": "ipython2",
443 "version": "2.7.12"
444 }
445 },
446 "nbformat": 4,
447 "nbformat_minor": 0
448 }