Kaufman Adaptive Moving Average | Trading Strategy (Setup & Filter)

I. Trading Strategy

Developer: Perry Kaufman (Kaufman Adaptive Moving Average – KAMA, Source: Smarter Trading | Improving Performance in Changing Markets, McGraw-Hill, Inc., 1995). Concept: Trading strategy based on an adaptive noise filter. Research Goal: Performance of the setup and filter. Specification: Table 1. Results: Figure 1-2. Trade Setup: Long Trades: The Adaptive Moving Average (AMA) turns up. Short Trades: The Adaptive Moving Average turns down. Note: The AMA trendline appears to stop when markets have no direction. When markets trend, the AMA trendline catches up. Trade Entry: Long Trades: A buy at close is placed after a bullish setup. Short Trades: A sell at close is placed after a bearish setup. Trade Exit: Table 1. Portfolio: 42 futures markets from four major market sectors (commodities, currencies, interest rates, and equity indexes). Data: 32 years since 1980. Testing Platform: MATLAB®.

II. Sensitivity Test

Kaufman Adaptive Moving Average – Setup & Filter (Definitions: Table 1):


Figure 1 | Portfolio Performance (Inputs: Table 1; Commission & Slippage: $0).

STRATEGY
SPECIFICATION PARAMETERS
Auxiliary Variables: AMA(ER_Length) is an Adaptive Moving Average over a period of ER_Length. ER_Length is a look-back period of an Efficiency Ratio (ER). ER[i] = abs(Direction[i] / Volatility[i]), where “abs” is the absolute value, Direction[i] = Close[i] − Close[i − ER_Length], Volatility[i] = ∑(abs(DeltaClose[i]), ER_Length), where “∑” is the sum over a period of ER_Length, DeltaClose[i] = Close[i] − Close[i − 1]. FastMA_Length is a period of a fast moving average. SlowMA_Length is a period of a slow moving average.
AMA[i] = AMA[i − 1] + c[i]*(Close[i] − AMA[i − 1]), where c[i] = (ER[i]*(Fast − Slow) + Slow)^2, Fast = 2/(FastMA_Length + 1), Slow = 2/(SlowMA_Length + 1). Index: i ~ Current Bar.
ER_Length = [2, 100], Step = 2;
FastMA_Length = 2;
SlowMA_Length = 30;
Setup: Long Trades: If AMA[i] > AMA[i − 1] & AMA[i − 1] < AMA[i − 2] then MinAMA = AMA[i − 1]; (Adaptive Moving Average turns up with a pivot at MinAMA).
Short Trades: AMA[i] < AMA[i − 1] & AMA[i − 1] > AMA[i − 2] then MaxAMA = AMA[i − 1]; (Adaptive Moving Average turns down with a pivot at MaxAMA).
Index: i ~ Current Bar.
Filter: Filter[i] = Filter_Index * Std_Dev(AMA[i] − AMA[i − 1], N), where Std_Dev is the standard deviation of series over N periods. N = 20 (default value).
Index: i ~ Current Bar.
Filter_Index = [0.0, 1.0], Step = 0.02;
N = 20;
Entry: Long Trades: A buy at close is placed when AMA[i] > AMA[i − 1] & (AMA[i] − MinAMA) > Filter[i].
Short Trades: A sell at close is placed when AMA[i] < AMA[i − 1] & (MaxAMA − AMA[i]) > Filter[i].
Index: i ~ Current Bar.
Exit: 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]. ATR_Length = 20;
ATR_Stop = 6;
Sensitivity Test: ER_Length = [2, 100], Step = 2
Filter_Index = [0.0, 1.0], Step = 0.02
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; 32 years (1980/01/01−2011/12/31)

Table 1 | Specification: Trading Strategy.

III. Sensitivity Test with Commission & Slippage

Kaufman Adaptive Moving Average – Setup & Filter (Definitions: Table 1):


Figure 2 | Portfolio Performance (Inputs: Table 1; Commission & Slippage: $100 Round Turn).

IV. Rating: Kaufman Adaptive Moving Average | Trading Strategy

A/B/C/D

Related Entries: Kaufman Adaptive Moving Average (Setup) | Combined Donchian Channels (Entry & Exit)
Proprietary Strategies: ALPHA20TM Trading System | Robust Short-Term PatternsTM
Related Topics: (Public) Trading Strategies

Codes: matlab/kaufman/ama/

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 UNDER-OR-OVER 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.

RISK DISCLOSURE: U.S. GOVERNMENT REQUIRED DISCLAIMER | CFTC RULE 4.41

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