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Pairs Trading

Stocks, Options · Started Jan 2011

hypothetical · Annual Return (Compounded)
0.0%
Max Drawdown
100.0%
Trades
190
Win Trades
71.6%
Profit Factor
0.30
Win Months
32.6%

About this strategy

The system is built on careful research and extensive back testing of daily adjusted closing prices of US equities going back over 20 years from today. A combination of options and single name equities are used in managing the portfolio. We have real experience using IB trade workstation for about a year and half using this strategy on a portfolio of close to $50K.

The results were tracked on our live blog at
http://mkt-neutral.blogspot.com

The portfolio is managed with strict risk controls with holding period limits, stop gains, and stop losses on all pairs. Maximum concentration at inception is not more than 8% on each leg of a trade.

The main strategy is one of convergence. We comb through over 6000 securities in the US market on a daily basis, and identify pairs of stocks that are co-integrated over a specific period of time, but have diverged from the mean by x standard deviation through this period. We short the stock that we believe is overvalued and long the one that we believe is under valued.

The trades posted here are for a portfolio of size $50K, however one can scale it lower to manage a smaller portfolio. Our experience has shown that the trading cost can range anywhere from 50 to 150bps annually.

We take a broader view view when it comes to what we call a pair. About 60% of the trades will b pairs of stocks. The rest of the trades could be pairs of positions in the same name, or pairs of options positions in two different stocks. Some of the recent trades that were executed include

Strangle on TIF
Covered call on MSFT
Calendar call spread on GOOG.
Put buying on MAR.
Put buying on PLL.

Direct put/call buying is a low risk strategy if done in small increments and hence we may not have hedges in place as your max loss is limited by the premium. But we are very well aware of the theta decay and hence keep this kind of strategy to the minimum.

We may also try to offset some of these buying with selling options. We are always aware of the worst case exposure when selling uncovered options. Hence uncovered options are usually limited to very short time frames or ones that result in low worst case exposure.
Selling one call on MAR on a portfolio of $50K is manageable. However selling one call on AAPL is not manageable.


Hypothetical Monthly Returns (includes fees/commissions)

YearJanFebMarAprMayJunJulAugSepOctNovDecYTD
2011-1.42.7-0.5-1.60.97.7-0.5-1.70.7-3.54.1-0.16.5
2012-7.76.0-0.81.51.7-1.21.8-1.0-0.2-0.2-0.20.0-1.1
2013-0.7-0.3-0.9-1.9-0.21.30.60.10.6-1.70.1-1.5-4.5
2014-0.4-1.61.1-0.5-0.6-2.91.7-2.21.6-2.1-0.7-1.0-7.6
20152.2-2.82.1-2.0-0.21.50.22.82.2-4.2-0.7-0.20.7
20163.8-0.5-2.60.3-0.70.4-2.0-0.60.40.8-2.0-0.3-3.2
2017-1.2-2.10.2-2.3-1.60.3-1.20.4-2.36.4-1.3-1.0-5.8
2018-4.13.51.4-0.7-2.00.6-2.9-1.8-0.24.7-0.86.33.4
2019-3.4-3.9-1.7-2.60.3-0.2-0.70.6-1.1-2.0-2.0-3.2-18.3
2020-0.12.818.5-9.4-5.7-0.8-3.3-8.66.7-0.8-10.3-1.9-15.2
2021-0.8-6.2-1.0-8.50.8-4.9-1.2-9.24.3-7.80.1-5.5-34.1
202219.5-1.9-6.516.4-1.315.0-12.05.611.8-3.3-7.80.835.3
2023-2.71.01.5-7.4-3.6-8.0-7.87.40.67.8-14.5-10.2-32.5
2024-0.7-17.6-10.15.9-13.1-12.1-2.413.4-31.8-5.60.0
2025-16.7-17.068.55.30.0-79.9-83.6-863.5-133.8-60.0-217.3-123.9
2026-15.6-9.1-84.5-884.5-47.3-11.6-5.8-29.4-3.2

Statistics

Overview

Strategy began1/4/2011
Suggested Minimum Capital$50,000
Age192 months
What it tradesStocks, Options
# Trades190
# Profitable136
% Profitable71.6%
Avg trade duration70.8 days
Max peak-to-valley drawdown100.0%
drawdown periodSept 01, 2025 - Aug 08, 2026
Annual Return (Compounded)0.0%
Avg win$197
Avg loss$1,434

Ratios

W:L ratio0.25
Sharpe Ratio-0.34
Sortino Ratio-0.35
Calmar Ratio-0.88

CORRELATION STATISTICS

Correlation to SP500-0.24
Return Percent SP500 (cumu) during strategy life500.2%
Return of Strat Pcnt - Return of SP500 Pcnt (cumu)-632.0%

Return Statistics

Ann Return (w trading costs)0.0%
Return Pcnt (Compound or Annual, age-based, NFA compliant)0.0%
Return Pcnt Since TOS Status0.0%
Ann Return (Compnd, No Fees)0.0%

Slump

Current Slump as Pcnt Equity—
Current Slump, time of slump as pcnt of strategy life1.0%

Instruments

Percent Trades Forex0.0%
Percent Trades Futures0.0%
Percent Trades Options0.4%
Percent Trades Stocks0.6%

Risk of Ruin (Monte-Carlo)

Chance of 10% account loss100.0%
Chance of 20% account loss100.0%
Chance of 30% account loss0.0%
Chance of 40% account loss0.0%
Chance of 50% account loss0.0%
Chance of 60% account loss (Monte Carlo)0.0%
Chance of 70% account loss (Monte Carlo)0.0%
Chance of 80% account loss (Monte Carlo)0.0%
Chance of 90% account loss (Monte Carlo)0.0%
Chance of 100% account loss (Monte Carlo)0.0%

Automation

Percentage Signals Automated0.0%

Popularity

Popularity (Today)0
Popularity (Last 6 weeks)0
Popularity (7 days, Percentile 1000 scale)0

Trading Style

Any stock shorts? 0/11

Trades-Own-System Certification

Trades Own System?0
TOS percent0.0%

Win / Loss

Avg Loss$1,434
Avg Win$197
# Winners136
Sum Trade PL (losers)$77,420
Sum Trade PL (winners)$26,740
Num Months Winners62
# Losers54
% Winners71.6%

Dividends

Dividends Received in Model Acct-7154

Age

Num Months filled monthly returns table177

Frequency

Avg Position Time (mins)101881.35
Avg Position Time (hrs)1698.02
Avg Trade Length70.80
Last Trade Ago4964

Regression

Alpha0
Beta-1.10
Treynor Index0

Maximum Adverse Excursion (MAE)

MAE:Equity, average, all trades0
MAE:Equity, 95th Percentile Value for this strat0
MAE:Equity, average, losing trades0.01
MAE:Equity, losing trades only, 95th Percentile Value for this strat—
MAE:Equity, average, winning trades0
MAE:Equity, win trades only, 95th Percentile Value for this strat—
Avg(MAE) / Avg(PL) - All trades-2.01
MAE:PL (avg, all trades)0.43
MAE:PL (avg, losing trades)—
MAE:PL - Losing Trades - this strat Percentile of All Strats40.53
MAE:PL - Winning Trades - this strat Percentile of All Strats31.11
MAE:PL (avg, winning trades)—
MAE:PL - worst single value for strategy—
Avg(MAE) / Avg(PL) - Winning trades0.91
Avg(MAE) / Avg(PL) - Losing trades-1.13
Hold-and-Hope Ratio-0.83

RATIO STATISTICS

Mean-0.41
SD0.47
Sharpe ratio (Glass type estimate)-0.87
Sharpe ratio (Hedges UMVUE)-0.86
df59
t-1.95
p0.97
Lowerbound of 95% confidence interval for Sharpe Ratio-1.76
Upperbound of 95% confidence interval for Sharpe Ratio0.02
Lowerbound of 95% CI (Gibbons, Hedeker & Davis approximation-1.75
Upperbound of 95% CI (Gibbons, Hedeker & Davis approximation0.03
Sortino ratio-0.86
Upside Potential Ratio0.18
Upside part of mean0.08
Downside part of mean-0.49
Upside SD0.06
Downside SD0.48
N nonnegative terms22
N negative terms38
N of observations60
Mean of predictor0.34
Mean of criterion-0.41
SD of predictor0.25
SD of criterion0.47
Covariance-0.08
r-0.69
b (slope, estimate of beta)-1.32
a (intercept, estimate of alpha)0.04
Mean Square Error0.12
DF error58
t(b)-7.25
p(b)1
t(a)0.23
p(a)0.41
Lowerbound of 95% confidence interval for beta-1.68
Upperbound of 95% confidence interval for beta-0.95
Lowerbound of 95% confidence interval for alpha-0.29
Upperbound of 95% confidence interval for alpha0.37
Treynor index (mean / b)0.31
Jensen alpha (a)0.04
Mean-0.75
SD1.12
Sharpe ratio (Glass type estimate)-0.67
Sharpe ratio (Hedges UMVUE)-0.67
df59
t-1.51
p0.93
Lowerbound of 95% confidence interval for Sharpe Ratio-1.56
Upperbound of 95% confidence interval for Sharpe Ratio0.21
Lowerbound of 95% CI (Gibbons, Hedeker & Davis approximation-1.55
Upperbound of 95% CI (Gibbons, Hedeker & Davis approximation0.22
Sortino ratio-0.67
Upside Potential Ratio0.07
Upside part of mean0.08
Downside part of mean-0.84
Upside SD0.05
Downside SD1.13
N nonnegative terms22
N negative terms38
N of observations60
Mean of predictor0.31
Mean of criterion-0.75
SD of predictor0.23
SD of criterion1.12
Covariance-0.13
r-0.52
b (slope, estimate of beta)-2.53
a (intercept, estimate of alpha)0.03
Mean Square Error0.92
DF error58
t(b)-4.64
p(b)1.00
t(a)0.06
p(a)0.48
Lowerbound of 95% confidence interval for beta-3.62
Upperbound of 95% confidence interval for beta-1.44
Lowerbound of 95% confidence interval for alpha-0.90
Upperbound of 95% confidence interval for alpha0.95
Treynor index (mean / b)0.30
Jensen alpha (a)0.03
VaR(95%)0.45
Expected Shortfall on VaR0.51
VaR(95%)0.11
Expected Shortfall on VaR0.24
Mean21.11
SD34.87
Sharpe ratio (Glass type estimate)0.61
Sharpe ratio (Hedges UMVUE)0.60
df1321
t1.36
p0.48
Lowerbound of 95% confidence interval for Sharpe Ratio-0.27
Upperbound of 95% confidence interval for Sharpe Ratio1.48
Lowerbound of 95% CI (Gibbons, Hedeker & Davis approximation-0.27
Upperbound of 95% CI (Gibbons, Hedeker & Davis approximation1.48
Sortino ratio24.92
Upside Potential Ratio27.44
Upside part of mean23.24
Downside part of mean-2.14
Upside SD34.87
Downside SD0.85
N nonnegative terms525
N negative terms797
N of observations1322
Mean of predictor0.36
Mean of criterion21.11
SD of predictor0.28
SD of criterion34.87
Covariance-0.61
r-0.06
b (slope, estimate of beta)-7.74
a (intercept, estimate of alpha)23.91
Mean Square Error1212.26
DF error1320
t(b)-2.27
p(b)0.53
t(a)1.54
p(a)0.48
Lowerbound of 95% confidence interval for beta-14.44
Upperbound of 95% confidence interval for beta-1.05
Lowerbound of 95% confidence interval for alpha-6.59
Upperbound of 95% confidence interval for alpha54.42
Treynor index (mean / b)-2.73
Jensen alpha (a)23.91
Mean-2.17
SD5.40
Sharpe ratio (Glass type estimate)-0.40
Sharpe ratio (Hedges UMVUE)-0.40
df1321
t-0.90
p0.52
Lowerbound of 95% confidence interval for Sharpe Ratio-1.27
Upperbound of 95% confidence interval for Sharpe Ratio0.47
Lowerbound of 95% CI (Gibbons, Hedeker & Davis approximation-1.27
Upperbound of 95% CI (Gibbons, Hedeker & Davis approximation0.47
Sortino ratio-0.46
Upside Potential Ratio0.58
Upside part of mean2.73
Downside part of mean-4.91
Upside SD2.60
Downside SD4.73
N nonnegative terms525
N negative terms797
N of observations1322
Mean of predictor0.32
Mean of criterion-2.17
SD of predictor0.29
SD of criterion5.40
Covariance-0.33
r-0.22
b (slope, estimate of beta)-4.10
a (intercept, estimate of alpha)-0.85
Mean Square Error27.84
DF error1320
t(b)-8.06
p(b)0.61
t(a)-0.36
p(a)0.50
Lowerbound of 95% confidence interval for beta-5.10
Upperbound of 95% confidence interval for beta-3.10
Lowerbound of 95% confidence interval for alpha-5.47
Upperbound of 95% confidence interval for alpha3.77
Treynor index (mean / b)0.53
Jensen alpha (a)-0.85
VaR(95%)0.43
Expected Shortfall on VaR0.50
VaR(95%)0.02
Expected Shortfall on VaR0.05
Mean214.06
SD110.44
Sharpe ratio (Glass type estimate)1.94
Sharpe ratio (Hedges UMVUE)1.93
df130
t1.37
p0.44
Lowerbound of 95% confidence interval for Sharpe Ratio-0.85
Upperbound of 95% confidence interval for Sharpe Ratio4.72
Lowerbound of 95% CI (Gibbons, Hedeker & Davis approximation-0.85
Upperbound of 95% CI (Gibbons, Hedeker & Davis approximation4.71
Sortino ratio80.02
Upside Potential Ratio86.00
Upside part of mean230.05
Downside part of mean-15.99
Upside SD110.78
Downside SD2.68
N nonnegative terms39
N negative terms92
N of observations131
Mean of predictor1.28
Mean of criterion214.06
SD of predictor0.46
SD of criterion110.44
Covariance-6.74
r-0.13
b (slope, estimate of beta)-31.57
a (intercept, estimate of alpha)254.32
Mean Square Error12078.17
DF error129
t(b)-1.51
p(b)0.58
t(a)1.61
p(a)0.41
Lowerbound of 95% confidence interval for beta-72.84
Upperbound of 95% confidence interval for beta9.71
Lowerbound of 95% confidence interval for alpha-57.66
Upperbound of 95% confidence interval for alpha566.30
Treynor index (mean / b)-6.78
Jensen alpha (a)254.32
Mean-20.77
SD17.17
Sharpe ratio (Glass type estimate)-1.21
Sharpe ratio (Hedges UMVUE)-1.20
df130
t-0.86
p0.54
Lowerbound of 95% confidence interval for Sharpe Ratio-3.98
Upperbound of 95% confidence interval for Sharpe Ratio1.57
Lowerbound of 95% CI (Gibbons, Hedeker & Davis approximation-3.98
Upperbound of 95% CI (Gibbons, Hedeker & Davis approximation1.57
Sortino ratio-1.38
Upside Potential Ratio1.54
Upside part of mean23.14
Downside part of mean-43.91
Upside SD8.26
Downside SD15.04
N nonnegative terms39
N negative terms92
N of observations131
Mean of predictor1.17
Mean of criterion-20.77
SD of predictor0.46
SD of criterion17.17
Covariance-3.11
r-0.39
b (slope, estimate of beta)-14.70
a (intercept, estimate of alpha)-3.61
Mean Square Error251.12
DF error129
t(b)-4.87
p(b)0.74
t(a)-0.16
p(a)0.51
Lowerbound of 95% confidence interval for beta-20.68
VAR (95 Confidence Intrvl)0.43
Upperbound of 95% confidence interval for beta-8.72
Lowerbound of 95% confidence interval for alpha-48.50
Upperbound of 95% confidence interval for alpha41.27
Treynor index (mean / b)1.41
Jensen alpha (a)-3.61
VaR(95%)0.84
Expected Shortfall on VaR0.89
VaR(95%)0.17
Expected Shortfall on VaR0.36

ORDER STATISTICS

Number of observations60
Minimum0.09
Quartile 10.98
Median1.00
Quartile 31.01
Maximum1.08
Mean of quarter 10.85
Mean of quarter 20.99
Mean of quarter 31.00
Mean of quarter 41.03
Inter Quartile Range0.03
Number outliers low5
Percentage of outliers low0.08
Mean of outliers low0.63
Number of outliers high2
Percentage of outliers high0.03
Mean of outliers high1.07
Extreme Value Index (moments method)1.16
VaR(95%) (moments method)0.13
Expected Shortfall (moments method)0
Extreme Value Index (regression method)1.50
VaR(95%) (regression method)0.10
Expected Shortfall (regression method)0
Number of observations1322
Minimum0.00
Quartile 11.00
Median1.00
Quartile 31.00
Maximum61
Mean of quarter 10.97
Mean of quarter 21.00
Mean of quarter 31.00
Mean of quarter 41.35
Inter Quartile Range0.01
Number outliers low126
Percentage of outliers low0.10
Mean of outliers low0.93
Number of outliers high84
Percentage of outliers high0.06
Mean of outliers high2.38
Extreme Value Index (moments method)1.12
VaR(95%) (moments method)0.02
Expected Shortfall (moments method)0
Extreme Value Index (regression method)1.07
VaR(95%) (regression method)0.01
Expected Shortfall (regression method)0
Number of observations131
Minimum0.00
Quartile 10.95
Median0.98
Quartile 31.01
Maximum61
Mean of quarter 10.79
Mean of quarter 20.97
Mean of quarter 31.00
Mean of quarter 44.48
Inter Quartile Range0.06
Number outliers low11
Percentage of outliers low0.08
Mean of outliers low0.52
Number of outliers high11
Percentage of outliers high0.08
Mean of outliers high11.37
Extreme Value Index (moments method)0.90
VaR(95%) (moments method)0.22
Expected Shortfall (moments method)2.27
Extreme Value Index (regression method)0.31
VaR(95%) (regression method)0.16
Expected Shortfall (regression method)0.30

DRAW DOWN STATISTICS

Number of observations4
Minimum0.00
Quartile 10.01
Median0.04
Quartile 30.29
Maximum0.98
Mean of quarter 10.00
Mean of quarter 20.01
Mean of quarter 30.06
Mean of quarter 40.98
Inter Quartile Range0.28
Number outliers low0
Percentage of outliers low0
Mean of outliers low0
Number of outliers high1
Percentage of outliers high0.25
Mean of outliers high0.98
Extreme Value Index (moments method)0
VaR(95%) (moments method)0
Expected Shortfall (moments method)0
Extreme Value Index (regression method)0
VaR(95%) (regression method)0
Expected Shortfall (regression method)0
Number of observations20
Minimum0.00
Quartile 10.00
Median0.00
Quartile 30.02
Maximum1.00
Mean of quarter 10.00
Mean of quarter 20.00
Mean of quarter 30.01
Mean of quarter 40.24
Inter Quartile Range0.02
Number outliers low0
Percentage of outliers low0
Mean of outliers low0
Number of outliers high2
Percentage of outliers high0.10
Mean of outliers high0.55
Extreme Value Index (moments method)1.37
VaR(95%) (moments method)0.17
Expected Shortfall (moments method)0
Extreme Value Index (regression method)2.21
VaR(95%) (regression method)0.29
Expected Shortfall (regression method)0
Number of observations3
Minimum0.17
Quartile 10.19
Median0.22
Quartile 30.61
Maximum1.00
Mean of quarter 10.17
Mean of quarter 20.22
Mean of quarter 30
Mean of quarter 41.00
Inter Quartile Range0.42
Number outliers low0
Percentage of outliers low0
Mean of outliers low0
Number of outliers high0
Percentage of outliers high0
Mean of outliers high0
Extreme Value Index (moments method)0
VaR(95%) (moments method)0
Expected Shortfall (moments method)0
Extreme Value Index (regression method)0
VaR(95%) (regression method)0
Expected Shortfall (regression method)0
Strat Max DD how much worse than SP500 max DD during strat life?-513147584
Max Equity Drawdown (num days)341
Last 4 Months - Pcnt Negative0.8%

COMBINED STATISTICS

Annualized return (arithmetic extrapolation)-0.19
Compounded annual return (geometric extrapolation)-0.52
Calmar ratio (compounded annual return / max draw down)-0.53
Compounded annual return / average of 25% largest draw downs-0.53
Compounded annual return / Expected Shortfall lognormal-1.00
j156mfCOMBRisPar0
j157mfCOMBRisPar0
Annualized return (arithmetic extrapolation)-0.20
Compounded annual return (geometric extrapolation)-0.88
Calmar ratio (compounded annual return / max draw down)-0.88
Compounded annual return / average of 25% largest draw downs-3.68
Compounded annual return / Expected Shortfall lognormal-1.77
j313dfCOMBRisPar0
j314dfCOMBRisPar0
Annualized return (arithmetic extrapolation)-2.00
Compounded annual return (geometric extrapolation)-1
Calmar ratio (compounded annual return / max draw down)-1.00
Compounded annual return / average of 25% largest draw downs-1.00
Compounded annual return / Expected Shortfall lognormal-1.12

Trading record

SymbolSideQtyOpenedClosedP/L
SPY1316C155 short1Mar 5, 2013Mar 17, 2013$68
BBRY1316O12 short2Mar 5, 2013Mar 17, 2013$69
BBRY1301O12.5 short2Feb 22, 2013Mar 2, 2013$49
BBRY1322N13 short3Feb 21, 2013Feb 23, 2013$31
SPY1319A147 short1Jan 9, 2013Jan 20, 2013$57
RIMM1319M11 short3Jan 9, 2013Jan 20, 2013$55
RIMM1311M11 short2Dec 31, 2012Jan 9, 2013$55
FB short200Dec 6, 2012Dec 29, 2012$230
FB1228X26 short2Dec 26, 2012Dec 29, 2012$19
RIMM1228L11.5 short1Dec 27, 2012Dec 29, 2012$22
RIMM1228L10 short2Dec 24, 2012Dec 29, 2012$143
FB1222X26 short2Dec 17, 2012Dec 23, 2012$89
FB1214X26 short2Dec 6, 2012Dec 15, 2012$69
SPY short100Aug 2, 2012Aug 24, 2012($463)
SPY1203T136 short1Aug 2, 2012Aug 4, 2012$66
SPY short400Jun 25, 2012Jul 24, 2012$157
SPY1221G136 short2Jul 13, 2012Jul 22, 2012$178
SPY1213S134 short2Jul 6, 2012Jul 13, 2012$139
SPY1229R130 short1Jun 25, 2012Jun 30, 2012$82
SPY1229F135 short1Jun 22, 2012Jun 30, 2012$42
SPY1229R134 short2Jun 19, 2012Jun 22, 2012($178)
SPY1222F135 short1Jun 14, 2012Jun 22, 2012$68
SPY1222R130 short1Jun 14, 2012Jun 19, 2012$92
SPY1222R132 short1Jun 15, 2012Jun 19, 2012$106
SPY1216R127 short1Jun 8, 2012Jun 17, 2012$20
SPY1216F132 short1Jun 1, 2012Jun 17, 2012$72
SPY1216R128 long1Jun 1, 2012Jun 17, 2012($262)
SPY1208R126 short1Jun 1, 2012Jun 9, 2012$99
SPY1208F132 long1Jun 1, 2012Jun 8, 2012$33
SPY1216F135 short1May 30, 2012Jun 4, 2012$69

Past results are not necessarily indicative of future results.

These results are based on simulated or hypothetical performance results that have certain inherent limitations. Unlike the results shown in an actual performance record, these results do not represent actual trading. Also, because these trades have not actually been executed, these results may have under-or over-compensated for the impact, if any, of certain market factors, such as lack of liquidity. Simulated or hypothetical trading programs in general are also subject to the fact that they are designed with the benefit of hindsight. No representation is being made that any account will or is likely to achieve profits or losses similar to these being shown.