Strategy #0000000020 · Trend and time-series momentum
Moving-average crossover
Smooth price direction with a rule; accept lag in exchange for clarity.
Moving averages smooth past prices. A short average above a long average may signal long exposure; below it may signal short or flat. Signals lag and can whipsaw in ranges.
Averages lag price and may whipsaw in ranges, adding trading costs.
Three ways in
Understand the story. Then inspect the risk.
Start with a familiar situation, check the payoff, then test how the numbers change.
The idea · in two minutes
Jack uses a short average as a direction gauge, not a crystal ball
Jack calculates 10-day and 30-day closing-price averages. When the short line crosses above the long one, he enters at the next tradable time; a cross below reverses or closes the position.
Rose insists on execution timing: if the signal uses today’s close, the strategy cannot assume a fill at that same close. She also fixes SMA or EMA, always-in-market rules, fees, slippage and dividends.
In a range, the lines can cross repeatedly and incur costs. At a sharp reversal, the average may confirm only after price has moved. Three averages, percentage bands and holding periods change noise and delay, but each rule needs pre-set parameters and out-of-sample testing.
- 短 MA > 長 MAShort average above long average gives a long signal; +1% assumed next-period return would produce +1% gross.
- 短 MA < 長 MAShort average below long average gives a short signal; +1% underlying return would produce −1% gross.
- 扣換倉成本Signal direction times assumed return, less switching cost. This is a scenario input, not observed performance.
Illustrative research examples only. They are not live signals or a recommendation.
The mechanics · payoff and exposure
Compute short and long averages using completed price data, then execute at the next available tradable price.
P is an adjusted closing price and n the window. The signal forms only after data for time t are available and trades at the next tradable time. SMA/EMA initialisation, windows and long/short/flat rules must be stated.
Greeks: the directional intuition
- Window length
- Measures sensitivity to implied volatility.
- Whipsaw
- Measures sensitivity to implied volatility.
- Execution
- Measures sensitivity to implied volatility.
- Parameter search
- Measures sensitivity to implied volatility.
Compute short and long averages using completed price data, then execute at the next available tradable price.
Practical context · published observations
Moving-average signal: read the record with its caveats.
The chart uses the published figures or explicitly labelled study inputs below. A historical index or model replay is not the same as an investor’s realised account return.
沒有使用歷史 OHLCV 或實際成交價。真實策略需要下一可交易價格、股息、停牌、滑價、交易日曆和樣本外資料探勘校正。 Source ↗ · Methodology ↗
Change assumptions and inspect the scenario
Inputs illustrate the strategy mechanics; they are not live quotes, forecasts or investment advice.
Variants · same family, different risk levers
Moving-average rules change the smoothing method, windows or confirmation.
Each added window, band or confirmation day changes the lag/turnover trade-off.
| Related strategy | Relationship | What changes | New cost or risk |
|---|---|---|---|
| Single moving average | Price versus average | Go long above the average and short or exit below it. | Price crossings are sensitive and reverse frequently in ranges. |
| Dual moving-average crossover | Short/long crossover | Go long when the short average crosses above the long one; reverse or exit below. | Both windows require choices and the signal still lags. |
| Three moving averages | Multi-horizon confirmation | Require short, medium and long averages to align before entry. | More confirmation is slower and adds parameters and costs. |
| Percentage-band MA | Breakout buffer | Require price to clear a percentage band around the average. | A wider band may reduce whipsaws but miss smaller trends. |
| HP-filtered moving average | Filtered crossover | Extract a slower trend with a Hodrick–Prescott filter before applying a crossover. | Endpoint bias and two-sided filtering can leak future information. |
| Fixed holding / confirmation days | Entry confirmation | Require a crossover to persist or hold the position for a fixed number of days. | Stability comes with slower response and exit slippage. |
| Three-line 3/10/21 rule | Fast multi-average rule | Uses short, medium and long windows to confirm a shorter-horizon trend. | Parameter searches and turnover increase data-mining risk. |
| Adaptive lookback | State-dependent window | Chooses a lookback based on a pre-defined market state. | State estimates lag and can accidentally use future information. |
Technical-rule research is especially vulnerable to data snooping; disclose the tested rule family and every parameter search.
Read beyond the summary
References
Primary sources and research used to describe the strategy and its limits.
- 01Brock, Lakonishok & LeBaron (1992), Simple Technical Trading Rules and the Stochastic Properties of Stock Returns.research
- 02Sullivan, Timmermann & White (1999), Data-Snooping, Technical Trading Rule Performance, and the Bootstrap.research
- 03Park & Irwin (2005), The Profitability of Technical Trading Rules in US Futures Markets: A Data Snooping Free Test.research
- 04Hsu & Kuan (2005), Reexamining the Profitability of Technical Analysis with Data Snooping Checks.research
- 05Kakushadze & Serur (2018), 151 Trading Strategies, §§3.11–3.13.source