I. Trading Strategy
Developer: Charles Dow. Concept: Trendfollowing strategy based on the Dow Theory: A bull trend is defined as a series of successive higher highs (HH) and higher lows (HL). A bear trend is defined as a series of successive lower lows (LL) and lower highs (LH). Research Goal: (1) Strategy performance; (2) Benchmarking against alternative entry methods. Specification: Table 1. Results: Figure 12. Portfolio: 42 futures markets from four major market sectors (commodities, currencies, interest rates, and equity indexes). Data: 33 years since 1980. Testing Platform: MATLAB®.
II. Sensitivity Test
Dow Theory: Pivot Size & Time Exits (Definitions: Table 1):
Figure 1  Portfolio Performance (Inputs: Table 1; Commission & Slippage: $0). PDF (664 KB)
STRATEGY 
SPECIFICATION  PARAMETERS 
Auxiliary Variables:  Pivot points (DeMark definition): Supply pivot points are surrounded on either side by lower highs. Demand pivot pointsare surrounded on either side by higher lows. The significance of pivot points is determined by the number of surrounded highs and lows. For example, a low that has two higher lows on either side has Pivot_Size = 2.  Pivot_Size = [1, 40], Step = 1; 
Setup:  Long trades: A bear trend is a setup for the future bull trend. Based on the Dow Theory, a bear trend is defined as a series of successive lower lows (LL) and lower highs (LH). Relevant lower lows and lower highs are determined by demand pivot points and supply pivot points. Short Trades: A bull trend is a setup for the future bear trend. Based on the Dow Theory, a bull trend is defined as a series of successive higher highs (HH) and higher lows (HL). Relevant higher highs and higher lows are determined by supply pivot points and demand pivot points. 

Filter:  N/A  
Entry:  Long Trades: A buy stop is placed one tick above the lowest high (LH) pivot (i.e. the lowest supply pivot point). Short Trades: A sell stop is placed one tick below the highest low (HL) pivot (i.e. the highest demand pivot point). 

Exit:  Time Exit: n^{th} day at close, n = Time_Index. Stop Loss Exit: ATR(ATR_Length) is an Average True Range over a period of ATR_Length. ATR_Stop is a multiple of ATR(ATR_Length). Long Trades: A sell stop is placed at [Entry − ATR(ATR_Length) * ATR_Stop]. Short Trades: A buy stop is placed at [Entry + ATR(ATR_Length) * ATR_Stop]. 
Time_Index = [1, 141], Step = 5; ATR_Length = 20; ATR_Stop = 6; 
Sensitivity Test:  Pivot_Size = [1, 40], Step = 1 Time_Index = [1, 141], Step = 5 

Position Sizing:  Initial_Capital = $1,000,000 Fixed_Fractional = 1% Portfolio = 42 US Futures ATR_Stop = 6 (ATR ~ Average True Range) ATR_Length = 20 

Data:  42 futures markets; 33 years (1980/01/01−2013/09/30) 
Table 1  Specification: Trading Strategy.
III. Sensitivity Test with Commission & Slippage
Dow Theory: Pivot Size & Time Exits (Definitions: Table 1):
Figure 2  Portfolio Performance (Inputs: Table 1; Commission & Slippage: $100 Round Turn).
IV. Rating: Dow Theory – Trend  Trading Strategy
A/B/C/D
Related Entries: Dow Theory – Multiple Time Frames (Entry)  Bollinger Bands – 3Phase Model (Setup)  Keltner Channels – 3Phase Model (Setup)  Combined Donchian Channels (Entry & Exit)
Proprietary Strategies: ALPHA_{20}^{TM} Trading System  Robust ShortTerm Patterns^{TM}
Related Topics: (Public) Trading Strategies
Codes: matlab/dow/1/
CFTC RULE 4.41: HYPOTHETICAL OR SIMULATED PERFORMANCE RESULTS HAVE CERTAIN LIMITATIONS. UNLIKE AN ACTUAL PERFORMANCE RECORD, SIMULATED RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, SINCE THE TRADES HAVE NOT BEEN EXECUTED, THE RESULTS MAY HAVE UNDEROROVER COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED 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 PROFIT OR LOSSES SIMILAR TO THOSE SHOWN.
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