Strategy #0000000116 · Market microstructure and execution
Optimal execution and trading-cost risk
Enter shares, slices, volatility, impact coefficient, risk aversion, urgency and per-share fees.
Almgren–Chriss splits a large order into time slices, balancing temporary market-impact cost against price risk from unexecuted inventory. Higher risk aversion accelerates trading, while faster orders increase impact. This simulator uses simplified exponential slice weights to calculate quadratic impact and remaining-inventory risk; it is not a calibrated solution to the full model.
No order book, volume curve, permanent impact or alpha signal is loaded; the model only illustrates cost/risk mechanics.
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
How does faster execution trade off market impact against inventory price risk?
Almgren–Chriss splits a large order into time slices, balancing temporary market-impact cost against price risk from unexecuted inventory. Higher risk aversion accelerates trading, while faster orders increase impact. This simulator uses simplified exponential slice weights to calculate quadratic impact and remaining-inventory risk; it is not a calibrated solution to the full model.
Enter shares, slices, volatility, impact coefficient, risk aversion, urgency and per-share fees.
No order book, volume curve, permanent impact or alpha signal is loaded; the model only illustrates cost/risk mechanics.
- Input assumptionsEnter shares, slices, volatility, impact coefficient, risk aversion, urgency and per-share fees.
- Model outputNo order book, volume curve, permanent impact or alpha signal is loaded; the model only illustrates cost/risk mechanics.
Illustrative research examples only. They are not live signals or a recommendation.
The mechanics · payoff and exposure
J=\sum_t\eta q_t^2+\lambda\sigma^2\sum_t x_t^2+C_{fees}
q_t is slice volume and x_t remaining inventory after each slice; urgency controls front-loading.
Greeks: the directional intuition
- 模型
- Measures sensitivity to implied volatility.
- 樣本
- Measures sensitivity to implied volatility.
- 執行
- Measures sensitivity to implied volatility.
J=\sum_t\eta q_t^2+\lambda\sigma^2\sum_t x_t^2+C_{fees}
Practical context · published observations
Optimal execution and trading-cost risk: 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.
No order book, volume curve, permanent impact or alpha signal is loaded; the model only illustrates cost/risk mechanics. 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
Model definitions, data splits and implementation costs affect results.
Compare methodology and execution assumptions.
| Related strategy | Relationship | What changes | New cost or risk |
|---|---|---|---|
| Base scenario | Manual inputs | Almgren–Chriss splits a large order into time slices, balancing temporary market-impact cost against price risk from unexecuted inventory. Higher risk aversion accelerates trading, while faster orders increase impact. This simulator uses simplified exponential slice weights to calculate quadratic impact and remaining-inventory risk; it is not a calibrated solution to the full model. | No order book, volume curve, permanent impact or alpha signal is loaded; the model only illustrates cost/risk mechanics. |
| Conservative version | Lower risk | Raise cost assumptions and cap exposure or search space. | May reduce model adaptability. |
| Validation version | Out-of-sample test | Freeze rules before evaluating untouched data. | Needs more data and governance. |
No order book, volume curve, permanent impact or alpha signal is loaded; the model only illustrates cost/risk mechanics.
Read beyond the summary
References
Primary sources and research used to describe the strategy and its limits.