LstarResponse
Per-(ticker, date) recommended hedge level (L1/L2/L3) with the chosen level's dispatched hedge ratios and total explained-return. Arrays are parallel by date index. Each L\* is a standalone hedge solution (not stacked layers) — `market_hr`/`sector_hr`/`subsector_hr` come from the chosen level's solver and are `null` where the chosen level doesn't use that ETF (sector_hr is null when L\*=L1; subsector_hr is null when L\*∈{L1,L2}). `axis` is always `industry` — the style axis was removed in v4 (style is a diagnostic block; see `POST /v4/decompose`).
Properties
| Name | Type | Description |
|---|---|---|
| ticker | string | |
| axis | string | Cascade axis — always `industry`. `style` was removed in v4 (style is served as a diagnostic block by `POST /v4/decompose`). |
| dates | array | |
| lstar | array | Recommended level per date. `null` where source ERs are unavailable. |
| market_hr | array | |
| sector_hr | array | Hedge ratio for the sector ETF. `null` when `lstar` = `L1`. |
| subsector_hr | array | Hedge ratio for the subsector ETF. `null` when `lstar` ∈ {`L1`, `L2`}. |
| total_er | array | Sum of explained-return components at the chosen level (market + sector + subsector, omitting residual). |
| residual_return | array | Daily simple residual return at the chosen Lstar level (`l1_rr`, `l2_rr`, or `l3_rr` from returns decomposition). Parallel to `dates`; `null` when Lstar or source return is unavailable. Not a hedge ra |
| l2_sector_er | array | Marginal L2 (sector) ER input. Exposed for audit / threshold override. |
| l3_subsector_er | array | Marginal L3 (subsector) ER input. Exposed for audit / threshold override. |
| threshold_used | number | The marginal-ER threshold used to assign each date's level. |
| market_factor_etf | string | |
| universe | string | |
| data_source | string | |
| history_starts | string | Present only when the returned arrays are empty because the requested window ends before this security's earliest non-null daily close or return observation. |
JSON Schema
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"$id": "https://artifacts.apis.io/riskmodels-app/json-schema/riskmodels-app-lstar-response-schema.json",
"title": "LstarResponse",
"description": "Per-(ticker, date) recommended hedge level (L1/L2/L3) with the chosen level's dispatched hedge ratios and total explained-return. Arrays are parallel by date index. Each L\\* is a standalone hedge solution (not stacked layers) — `market_hr`/`sector_hr`/`subsector_hr` come from the chosen level's solver and are `null` where the chosen level doesn't use that ETF (sector_hr is null when L\\*=L1; subsector_hr is null when L\\*∈{L1,L2}). `axis` is always `industry` — the style axis was removed in v4 (style is a diagnostic block; see `POST /v4/decompose`).\n",
"x-generated": "2026-10-31",
"x-method": "derived",
"x-generator": "derive-json-schema.py",
"x-source": "openapi/riskmodels-app-openapi.json#/components/schemas/LstarResponse",
"type": "object",
"required": [
"ticker",
"axis",
"dates",
"lstar",
"market_hr",
"sector_hr",
"subsector_hr",
"total_er",
"residual_return",
"l2_sector_er",
"l3_subsector_er",
"threshold_used",
"market_factor_etf",
"universe",
"data_source"
],
"properties": {
"ticker": {
"type": "string"
},
"axis": {
"type": "string",
"enum": [
"industry"
],
"default": "industry",
"description": "Cascade axis — always `industry`. `style` was removed in v4 (style is served as a diagnostic block by `POST /v4/decompose`).\n"
},
"dates": {
"type": "array",
"items": {
"type": "string",
"format": "date"
}
},
"lstar": {
"type": "array",
"description": "Recommended level per date. `null` where source ERs are unavailable.",
"items": {
"type": [
"string",
"null"
],
"enum": [
"L1",
"L2",
"L3"
]
}
},
"market_hr": {
"type": "array",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"sector_hr": {
"type": "array",
"description": "Hedge ratio for the sector ETF. `null` when `lstar` = `L1`.",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"subsector_hr": {
"type": "array",
"description": "Hedge ratio for the subsector ETF. `null` when `lstar` ∈ {`L1`, `L2`}.",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"total_er": {
"type": "array",
"description": "Sum of explained-return components at the chosen level (market + sector + subsector, omitting residual).\n",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"residual_return": {
"type": "array",
"description": "Daily simple residual return at the chosen Lstar level (`l1_rr`, `l2_rr`, or `l3_rr` from returns decomposition). Parallel to `dates`; `null` when Lstar or source return is unavailable. Not a hedge ratio and not explained-risk variance (`l*_res_er`).\n",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"l2_sector_er": {
"type": "array",
"description": "Marginal L2 (sector) ER input. Exposed for audit / threshold override.\n",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"l3_subsector_er": {
"type": "array",
"description": "Marginal L3 (subsector) ER input. Exposed for audit / threshold override.\n",
"items": {
"type": [
"number",
"null"
],
"format": "float"
}
},
"threshold_used": {
"type": "number",
"format": "float",
"description": "The marginal-ER threshold used to assign each date's level."
},
"market_factor_etf": {
"type": "string"
},
"universe": {
"type": "string"
},
"data_source": {
"type": "string"
},
"history_starts": {
"type": "string",
"format": "date",
"description": "Present only when the returned arrays are empty because the requested window ends before this security's earliest non-null daily close or return observation.\n"
}
}
}
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