Strategy #0000000122 · Passive investing and portfolio tracking
Sparse index tracking and tracking difference
Enter constituent A weight, two constituent returns, index return and rebalance costs.
Index tracking can hold every constituent or use sampling and derivatives for sparse replication. The goal is usually to reduce tracking error while controlling holdings count, turnover, tax and trading costs; mismatched benchmark weights or timestamps also create deviations. This tool illustrates active return using two constituents and an entered index return; it does not optimise weights.
No full tracking-error volatility or optimised solution is computed; dividends, corporate actions and taxes are omitted.
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
What are the return difference and rebalance cost between a replica and its index?
Index tracking can hold every constituent or use sampling and derivatives for sparse replication. The goal is usually to reduce tracking error while controlling holdings count, turnover, tax and trading costs; mismatched benchmark weights or timestamps also create deviations. This tool illustrates active return using two constituents and an entered index return; it does not optimise weights.
Enter constituent A weight, two constituent returns, index return and rebalance costs.
No full tracking-error volatility or optimised solution is computed; dividends, corporate actions and taxes are omitted.
- Input assumptionsEnter constituent A weight, two constituent returns, index return and rebalance costs.
- Model outputNo full tracking-error volatility or optimised solution is computed; dividends, corporate actions and taxes are omitted.
Illustrative research examples only. They are not live signals or a recommendation.
The mechanics · payoff and exposure
R_p=wR_A+(1-w)R_B,\quad ActiveReturn=R_p-R_{index}
w is the replica weight in constituent A; index and constituent returns are user-entered.
Greeks: the directional intuition
- 模型
- Measures sensitivity to implied volatility.
- 資料
- Measures sensitivity to implied volatility.
- 執行
- Measures sensitivity to implied volatility.
R_p=wR_A+(1-w)R_B,\quad ActiveReturn=R_p-R_{index}
Practical context · published observations
Sparse index tracking and tracking difference: 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 full tracking-error volatility or optimised solution is computed; dividends, corporate actions and taxes are omitted. 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
Data quality, constraints and implementation costs affect results.
Compare modelling and execution assumptions.
| Related strategy | Relationship | What changes | New cost or risk |
|---|---|---|---|
| Base scenario | Manual inputs | Index tracking can hold every constituent or use sampling and derivatives for sparse replication. The goal is usually to reduce tracking error while controlling holdings count, turnover, tax and trading costs; mismatched benchmark weights or timestamps also create deviations. This tool illustrates active return using two constituents and an entered index return; it does not optimise weights. | No full tracking-error volatility or optimised solution is computed; dividends, corporate actions and taxes are omitted. |
| Conservative version | Lower exposure | Raise cost/risk assumptions and constrain positions. | May reduce participation. |
| Validation version | Out-of-sample test | Freeze the method before evaluation on untouched data. | Needs more clean data. |
No full tracking-error volatility or optimised solution is computed; dividends, corporate actions and taxes are omitted.
Read beyond the summary
References
Primary sources and research used to describe the strategy and its limits.