# 融资、抵押品与现金流动性
重建融资账户、两种补救方式和截止前可用资源，解释800现金与2000出售为什么不同。
Entry: zh-p08 | Node: P08 | Language: zh | Editorial revision: 2026-09-21
## Teaching instructions
你在教P08“融资、抵押品与现金流动性”。先实际取得required_readings的完整单元，记录标题、版本、范围及其支持本例哪一步；未来runtime_reading_log起始为空，不把发布者的已读记录当成本次读取。选择日内制度卡时再读取Notice26-10的具名单元；无法取得承重原文则说明具体缺口，不凭印象补课。
诊断时直接给A=12000、D=8000、m=.4，让读者一次性写出缺口、现金800还债与出售2000还债的A/D/E。先听完整推理，再针对“权益是否创造、钱来自哪里”反馈。沿同源正文把未付利息与出售费各计一次；检查卖出额不能超过持仓或净偿还额超过债务，无解必须解释，不能编造可执行订单。资源卡独立于主账户，要求读者先判断币种、地点、资格、未质押状态及截止，然后算haircut后可用值。最后用费用20和迟到现金题检验迁移；只会报800而不能解释2000、外部本金和截止身份，不算掌握。不得读取账户或把教学比例/利率当当前券商规则。
Before substantive teaching, actually retrieve every required reading unit for the selected scope. Read its complete designated section, including necessary assumptions, tables and footnotes. A working URL or an editorial access date is not a runtime reading receipt. Record the actual version, location, scope and what it supports. If unavailable, use a previously verified equivalent source; if the required unit remains unavailable, identify that gap rather than teach it from memory. Start runtime_reading_log empty. Once reading is complete, use a substantive diagnostic or follow the reader's request for direct explanation. Advance one complete reasoning task at a time; skip mastered basics. Distinguish original facts, supplied teaching assumptions and inference.
## Required readings and runtime protocol
```json
{
"export_mode": "public",
"required_readings": [
{
"source_id": "PE-SEC-MARGIN",
"title": "Investor Bulletin: Understanding Margin Accounts",
"version": "2021-06-10; page retrieved 2026-09-21 with 2026 transition notice",
"access": {
"kind": "html_full_text",
"uri": "https://www.investor.gov/introduction-investing/general-resources/news-alerts/alerts-bulletins/investor-bulletins-29",
"verified_access_at": "2026-09-21"
},
"required_unit": {
"locator": "The Difference Between Cash and Margin Accounts; Understand How Margin Works; Know the Margin Rules; Understand Margin Calls; Interest Charges",
"scope": "完整账户/维持/调用/利息单元",
"purpose": "重建官方账户及本金、权益和利息的区别"
},
"supports": "现金/融资账户、SEC 16000/8000→12000示例与利息。补救公式和费用扩展由本文推导，40%为例中条件。",
"authors": [
"SEC Office of Investor Education and Advocacy"
],
"fallback_source_ids": []
},
{
"source_id": "PE-FINRA-4210",
"title": "FINRA Rule 4210 Margin Requirements",
"version": "current page read 2026-09-21",
"access": {
"kind": "html_full_text",
"uri": "https://www.finra.org/rules-guidance/rulebooks/finra-rules/4210",
"verified_access_at": "2026-09-21"
},
"required_unit": {
"locator": "(c)(1) and (d)(1)",
"scope": "两款原文及(c)适用范围引句",
"purpose": "区分适用最低维持要求与内部标准"
},
"supports": "适用普通长仓(c)(1)最低维持与(d)(1)内部要求；不是全部工具统一百分比。",
"authors": [
"FINRA"
],
"fallback_source_ids": []
},
{
"source_id": "PE-FINRA-2264",
"title": "FINRA Rule 2264 Margin Disclosure Statement",
"version": "current page read 2026-09-21",
"access": {
"kind": "html_full_text",
"uri": "https://www.finra.org/rules-guidance/rulebooks/finra-rules/2264",
"verified_access_at": "2026-09-21"
},
"required_unit": {
"locator": "(a)",
"scope": "保证金披露全文",
"purpose": "解释贷款/抵押、处置与通知及延期边界"
},
"supports": "贷款/抵押关系、处置/通知、提高内部要求和延期限制。",
"authors": [
"FINRA"
],
"fallback_source_ids": []
},
{
"source_id": "MA-FSB",
"title": "Liquidity Preparedness for Margin and Collateral Calls: Final report",
"version": "2024-12-10",
"access": {
"kind": "pdf_full_text",
"uri": "https://www.fsb.org/uploads/P101224-1.pdf",
"verified_access_at": "2026-09-21"
},
"required_unit": {
"locator": "§3.3; Recommendations 6–8; printed pp18–20 / PDF pp22–24",
"scope": "本节全文",
"purpose": "区分名义资产、可计抵押、币种/地点/截止前实际可用性"
},
"supports": "Recommendations6–8的资源可用性、haircut、币种/地点/截止与操作准备；不是零售统一账户规则。",
"authors": [
"Financial Stability Board"
],
"fallback_source_ids": []
}
],
"optional_readings": [
{
"source_id": "PE-FINRA-2610",
"title": "Regulatory Notice 26-10",
"version": "2026-04-20",
"access": {
"kind": "html_full_text",
"uri": "https://www.finra.org/rules-guidance/notices/26-10",
"verified_access_at": "2026-09-21"
},
"required_unit": {
"locator": "Summary; Background & Discussion introduction; Implementation",
"scope": "制度切换完整说明",
"purpose": "2026日内保证金过渡日期"
},
"supports": "2026-06-04生效及2027-10-20实施过渡；不替经纪商确认采用状态。",
"branch": "intraday-transition",
"required_if_branch_selected": true,
"authors": [
"FINRA"
],
"fallback_source_ids": []
}
],
"runtime_reading_log": [],
"supplied_inputs": {
"uri": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/inputs.json",
"input_id": "PE-DRAFT-INPUTS-20260921-v1",
"version": "2026-09-21-v1",
"selected_paths": [
"frozen.margin",
"extensions.margin",
"extensions.collateral"
],
"data": {
"id": "PE-DRAFT-INPUTS-20260921-v1",
"version": "2026-09-21-v1",
"frozen": {
"package_id": "P-E-PRIMARY-20260921",
"research_cutoff": "2026-09-21",
"identity": "Public-source teaching support, not account or historical execution data",
"margin": {
"id": "CASE-PE-SEC-MARGIN",
"source_id": "PE-SEC-MARGIN",
"source_example": {
"initial_assets": 16000,
"initial_debt": 8000,
"stressed_assets": 12000,
"maintenance_rates": [
0.25,
0.4
]
},
"extensions_identity": "Independent teaching extensions of the SEC example; cash repays debt, sale proceeds repay debt; no price change or fees during the remedy",
"interest_extension": {
"identity": "Teaching assumption, not a current broker rate",
"annual_rate": 0.08,
"days": 30,
"day_basis": 365
}
}
},
"extensions": {
"identity": "Author teaching interface extensions; not new observed data or broker terms",
"margin": {
"default": {
"assets": 12000,
"debt": 8000,
"maintenance": 0.4,
"interest_on": false,
"sale_fee": 0,
"action": "cash"
},
"limits": {
"assets": [
0,
30000
],
"debt": [
0,
30000
],
"maintenance": [
0.01,
1
],
"sale_fee": [
0,
1000
]
},
"fixed_sale_amount": 800
},
"collateral": {
"call_amount": 800,
"deadline_minutes": 600,
"security_value": 1000,
"cash_value": 1000,
"haircut": 0.2,
"cash_arrival_minutes": 630,
"security_arrival_minutes": 570,
"identity": "Separate resource card: same-day local clock; not added to the securities margin account",
"default": {
"cash_only": true,
"unencumbered": true,
"eligible": true,
"currency_ok": true,
"location_ok": true
}
}
},
"units": {
"amount": "USD",
"shares": "shares",
"futures": "integer contracts",
"index": "index points",
"rate": "fraction unless UI percent/bps labelled",
"p09_cost_bps_denominator": "target_shares * decision_price",
"feds_bps": "paper-defined duration-normalized yield equivalent basis points"
}
},
"source_id_mapping": {
"PE-FSB-MARGIN": "MA-FSB",
"PE-SEC-ORDERS": "MA-ORDERS",
"PE-CME-MES": "MA-MES"
},
"selection_identity": "本篇全部教学输入的逐字段副本；原公共共享文件保持作者字节，不含其他三篇无关数列。"
},
"solutions_identity": "解释、迁移与边界题完整解析包含在同源body_markdown末节",
"entry_id": "zh-p08",
"content_version": "2026-09-21.PE-review-v3",
"selected_branch": "common",
"branch_selection_protocol": "默认只读 required_readings；选中 optional_readings 的具名分支后，追加该条完整 required_unit，实际读完后才教相应分支。正文保留可展开内容与全部题解。",
"public_artifacts": {
"full_inputs": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/inputs.json",
"full_results": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/default-results.json",
"result_pointer": "/P08",
"engine": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/engine.js",
"reproduction_instructions": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/reproduce.md",
"static_equivalents": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/static-results.md",
"original_specifications": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/author-experiments.json"
},
"experiment_ids": [
"EXP-P08-LIQUIDITY-REMEDY"
]
}
```
## Supplied entry
我们先把“我有多少资产”改成一个更有用的问题：**这些资产支持了什么借款，账户必须保留多少权益，付款截止前又能拿出什么？** 三个问题的答案可能完全不同。证券下跌时，借款不会跟着按比例减少；账外有钱，也未必来得及转进需要付款的账户。
本篇围绕一张证券融资账户走到底：先算约束，再比较现金还债与卖证券还债，最后检查到账条件。读完后，你应能独立重建补救前后的资产负债表，而不只是记住一个保证金百分比。
## 1. 一笔买入，为什么同时出现资产与债务
SEC 的教育材料给了这样一个账户：买入价值 16,000 美元的证券，其中 8,000 来自自有资金，8,000 来自经纪商贷款。之后证券跌至 12,000，借款暂时不变。我们把原例重排如下，所有金额均为美元。[^margin]
| 时点 | 证券资产 $A$ | 尚欠借款 $D$ | 账户权益 $E=A-D$ |
|---|---:|---:|---:|
| 买入后 | 16,000 | 8,000 | 8,000 |
| 价格下跌后 | 12,000 | 8,000 | 4,000 |
证券价格下跌了 25%，自有权益却减少了 50%。这不是多收了一笔费用，而是同一笔 4,000 的资产损失由 8,000 的自有资本承受。借款人仍承担证券的涨跌，贷款方则拥有收取本息的权利，证券又是贷款的抵押。融资扩大了经济敞口，也引入了持续满足融资条件的责任。[^disclosure]
> **本篇的简化账户。** 令 $A$ 为证券市值，$D$ 为包含已计入而未付利息的借款余额，$E=A-D$ 为权益。账户暂不留闲置现金；每笔补入现金或出售净所得都立即用于还债。令 $m$ 为适用的维持权益比例，则本例检验的条件为 $E\ge mA$。实际账户还可能有其他条件，本篇不把这个不等式当作全部经纪协议。
有了这一定义，“保证金”就不再是一笔额外购买成本。初始自有资金已经包含在证券资产中；维持要求是持仓后必须满足的权益约束，不应再从资产中扣一次。
## 2. 缺口来自哪里：价格变动与融资条件变动
FINRA Rule 4210(c)(1) 对其适用的普通可融资长仓证券规定 25% 的维持要求，同时 (d)(1) 要求成员制定自己的保证金标准并考虑提高要求。这里的适用范围并不覆盖所有工具与账户。SEC 原例另外比较了经纪商要求 40% 的情况。[^rule]
同一个下跌后的账户，在 25% 下要求权益 $0.25\times12,000=3,000$，现有 4,000，仍有余量；在 40% 下要求 4,800，缺少 800。**资产并未再次下跌，单是融资条件提高，也可能让账户不再满足约束。**
记未截断的权益缺口为 $d=mA-E$。$d>0$ 表示需要补救，$d\le0$ 表示这个条件尚未失效。把 $E=A-D$ 代入，可得 $d=D-(1-m)A$。当 $0
## 3. 现金还债与卖证券还债，为什么不是同一个金额
现在固定 $A=12,000$、$D=8,000$、$m=40\%$。先假设补救期间价格不变，没有税费，出售所得可以及时还债。
**先看外部现金。** 转入 $c$ 并全部还债后，证券不变、债务减少：$A'=A$，$D'=D-c$，所以 $E'=E+c$。要满足要求，需 $E+c\ge mA$。因此最少转入 $c_{\min}=\max(d,0)$，这里是 800。账户权益增加了，但账外现金同时减少 800；从投资者整体看，这是资金转移，不是赚到 800。
**再看卖出证券。** 卖出 $x$ 并立即以全部所得还债，得到 $A'=A-x$、$D'=D-x$，所以 $E'=E$。没有新的自有资本进入，权益不变；改变的是要支撑的证券规模。要求变为 $E\ge m(A-x)$，因此在存在合法解时，最少出售额为 $x_{\min}=\max(d,0)/m$。本例需要 $800/0.4=2,000$。
| 补救动作 | 动作后证券 | 动作后借款 | 动作后权益 | 40% 要求 | 仍缺多少 |
|---|---:|---:|---:|---:|---:|
| 外部现金 800 全部还债 | 12,000 | 7,200 | 4,800 | 4,800 | 0 |
| 卖证券 800，全部还债 | 11,200 | 7,200 | 4,000 | 4,480 | 480 |
| 卖证券 2,000，全部还债 | 10,000 | 6,000 | 4,000 | 4,000 | 0 |
沿着表看，第二行并非“已经补入800仍被多收费”。每卖出并还债 1 美元，只把维持要求降低 $m$ 美元；现金还债 1 美元却把账户权益提高 1 美元。因此两个金额不同。选择现金保留了原证券敞口，也消耗了账外流动性；选择出售减少敞口，同时保留账外现金。哪种安排符合原目标，需要把这两种后果放在一起比较。
公式还有一条不能省略的条件：不能出售超过现有证券，不能把偿债额算成负债余额以下的“负贷款”。在无费用时，应检验 $0\le x\le\min(A,D)$。若 $A=7,000$、$D=8,000$，权益已经为负，单靠卖出还债不会把负权益变正；机械计算得到的出售量超过持仓，就应报告**此补救方式无解**，而不是让模型凭空卖出更多资产。若恰好 $A=D$，全卖并还债可以清空账户；这叫结束持仓，不是获得一个可以继续融资的零权益账户。
## 4. 利息和费用怎样真正改变补救量
把贷款利息放回账户。下面的年利率 8%、30 天及 365 天年基数是教学设定，不是当前券商报价。若利息尚未支付，$I=8,000\times0.08\times30/365=52.602740$，于是借款变为 8,052.602740，权益变为 3,947.397260。
40% 下的现金补救因此为 852.602740，出售补救为 2,131.506849。只要借款已经含这笔利息，期末净财富 $A-D$ 就已经反映其成本；计算净损益时再减一次同样的利息会重复扣除。相反，如果利息已由账外现金支付，就应记录那条实际现金流，而不再把它留在未付借款里。利息会降低投资者结果，关键是在哪一条账里体现一次。[^margin]
出售费用也能改变结论。设一次出售有固定费用 $f$，从出售额中扣除，再以 $x-f$ 还债，则 $E'=E-f$，不再是 $E$。要求为 $E-f\ge m(A-x)$，缺口存在时得到
$$
x_{\min}=\frac{d+f}{m}.
$$
这个式子只在 $x>0$、$x\ge f$、$x\le A$、$x-f\le D$ 时适用。没有缺口、无需出售时也不发生出售费。费用会减少权益，而单纯本金偿还不会；把两者分开，才知道一个算术解是否是可以执行的账户动作。
## 5. 算出补救量后，还要问钱能否按时到达
FSB 2024 年报告 §3.3 把抵押管理的重点放在未被占用的资源、折扣后的可计价值，以及要求的币种、交付地点和期限。特别是仅接受现金的追缴，不能无条件由证券抵押替代。它是一份政策建议，不给这张教学账户规定新的百分比。[^fsb]
我们另设一张**独立于上面证券账户**的资源卡：需要在 10:00 前交付 800 美元；有一项市值 1,000 的证券，假设可计抵押折扣为20%；另有 1,000 美元现金在10:30才到账。
| 资源和条件 | 名义金额 | 折扣后金额 | 10:00 的这次要求能否用 |
|---|---:|---:|---|
| 未质押证券，及时交到指定账户；允许非现金抵押 | 1,000 | 800 | 可计抵押价值800，但不是800现金 |
| 同一证券；这次只收现金 | 1,000 | 800 | 不可直接使用；需要另有及时变现安排 |
| 现金10:30到账 | 1,000 | 1,000 | 超过截止，不能消除10:00缺口 |
同一资产只能计算一次。“可抵押800”也不自动意味着已经借到了800；借款还需要相应的合同、额度和操作。折扣 $h$ 描述抵押品认可价值 $(1-h)V$，维持率 $m$ 描述账户权益相对于证券资产的要求，两者不是可随意互换的同一比例。
实际处置也不是只由投资者决定。FINRA 的保证金披露说明，经纪商可能处置资产、提高内部要求，并不保证先联系客户或延长期限。因此，计划里的“明天补”必须有明确依据，不能从今天净资产为正推出来。[^disclosure]
**制度时点卡。** 截至2026-09-21，FINRA Notice 26-10 所列新日内保证金制度已于2026-06-04生效，允许成员过渡至2027-10-20。旧25,000美元PDT门槛不能被写成所有经纪商此时统一采用的规则。本篇静态维持账户与日内制度是不同问题；具体账户仍须核经纪商采用的制度和协议。[^transition]
## 6. 先预测账户变化，再操作与迁移
打开[补救与到账实验](/notebook/labs/p-e/interactions.html?experiment=EXP-P08-LIQUIDITY-REMEDY#EXP-P08-LIQUIDITY-REMEDY)。先保留默认数，比较三行账户；再只加入利息，预测哪两项余额改变。最后把证券降至7,000、借款保持8,000，看看为何出售补救不再产生可执行结果。资源卡可单独切换是否已质押、是否允许非现金、币种/账户是否正确及到账时间；它不会偷偷向主账户注入第二份资产。
**解释题。** 同样使40%条件重新满足，转入800还债与出售2,000还债，为什么不是经济上相同的选择？
**解析。** 前者保留12,000证券，借款降至7,200，账外资金少800；后者证券降至10,000、借款降至6,000、权益仍4,000，账外现金不动。二者持仓规模、未来利息和账外流动性都不同。满足一条约束不是证明两种策略等价，更不能把外部转入当利润。
**迁移题。** 回到没有利息的默认账户，出售费固定为20美元。仍只卖2,000够吗？最少应卖多少？
**解析。** 卖2,000后净还债1,980，证券10,000、借款6,020，权益3,980，小于4,000要求，还缺20。由 $(800+20)/0.4$ 得最少卖2,050：证券9,950、借款5,970、权益3,980，要求同为3,980。费用削弱了权益，必须再缩小证券资产，而不是把20简单附在旧出售量上就结束。
**边界题。** 证券7,000、借款8,000，账外有1,000现金，但它晚于截止到账。是否已经找到可行补救？
**解析。** 单独出售不能修复负权益；即使这1,000按时到达，也只把权益提高至零，保留证券时仍不满足40%要求。若随后全卖并清偿，才可能关闭账户。现在这笔钱又晚到，不能用上述顺序解释为已按期补救。应分别报告资金量问题与时间问题，再核是否存在其他被允许的安排。
我们最后保留的不是一个通用现金比例，而是一张能更新的账户：资产怎么变化、债务怎么变化、哪些钱真正可用，以及动作后还剩什么敞口。接下来研究成交时，也应继续保留这张账，而不只盯着报出的价格。
[^margin]: SEC，*Investor Bulletin: Understanding Margin Accounts*，署日2021-06-10，2026-09-21访问；“The Difference Between Cash and Margin Accounts”“Know the Margin Rules”“Interest Charges”。16,000/8,000→12,000为原例，后续补救和利息是本站推导／教学变式。[原文](https://www.investor.gov/introduction-investing/general-resources/news-alerts/alerts-bulletins/investor-bulletins-29)。
[^rule]: FINRA，Rule 4210，2026-09-21访问；(c)(1)适用长仓维持要求，(d)(1)内部标准。[原文](https://www.finra.org/rules-guidance/rulebooks/finra-rules/4210)。
[^disclosure]: FINRA，Rule 2264(a)保证金披露全文；贷款与抵押、处置／通知、内部要求和延期条件。[原文](https://www.finra.org/rules-guidance/rulebooks/finra-rules/2264)。
[^fsb]: FSB，*Liquidity Preparedness for Margin and Collateral Calls*，2024-12-10，§3.3、Recommendations 6–8，印刷pp.18–20／PDF pp.22–24。[原文](https://www.fsb.org/uploads/P101224-1.pdf#page=22)。
[^transition]: FINRA，Regulatory Notice 26-10，2026-04-20；Summary、Background & Discussion、Implementation。[原文](https://www.finra.org/rules-guidance/notices/26-10)。
## Experiment inputs and static equivalents
```json
[
{
"id": "EXP-P08-LIQUIDITY-REMEDY",
"node_id": "P08",
"title": "融资、抵押品与现金流动性：操作实验",
"anchor": "p08-lab",
"description": "重建融资账户、两种补救方式和截止前可用资源，解释800现金与2000出售为什么不同。",
"inputs": {
"shared_input_id": "PE-DRAFT-INPUTS-20260921-v1",
"frozen_case_keys": [
"margin"
],
"controls": {
"default": {
"assets": 12000,
"debt": 8000,
"maintenance": 0.4,
"interest_on": false,
"sale_fee": 0,
"action": "cash"
},
"limits": {
"assets": [
0,
30000
],
"debt": [
0,
30000
],
"maintenance": [
0.01,
1
],
"sale_fee": [
0,
1000
]
},
"fixed_sale_amount": 800
},
"unit_contract": {
"amount": "USD",
"shares": "shares",
"futures": "integer contracts",
"index": "index points",
"rate": "fraction unless UI percent/bps labelled",
"p09_cost_bps_denominator": "target_shares * decision_price",
"feds_bps": "paper-defined duration-normalized yield equivalent basis points"
}
},
"algorithm": [
"E=A−D；未付利息选中时先令D←D+8000×.08×30/365（基数随输入借款）。",
"d=max(0,mA−E)；现金还债c=d：A不变、D减c。",
"无缺口的最少出售为0且不收费；存在缺口时，含固定出售费f的候选x=(d+f)/m，净偿债x−f。",
"只有0≤x≤A且0≤x−f≤D才交付卖出结果，否则返回无解且不输出交易金额；另检查关闭账户边界。",
"独立抵押卡逐项检查资格/未占用/币种/地点/同日到达分钟≤截止600；非现金获接受才计(1−h)V。两张账不合并。"
],
"boundaries": [
"finite-only",
"assets/debt>=0",
"0.01<=maintenance<=1",
"0<=sale_fee<=1000",
"no over-sale or negative loan",
"no fee when no minimal sale needed",
"cash at exact deadline accepted; late cash excluded"
],
"outputs": {
"default": {
"parameters": {
"assets": 12000,
"debt": 8000,
"maintenance": 0.4,
"interest_on": false,
"sale_fee": 0,
"action": "cash"
},
"interest": 0,
"initial": {
"assets": 12000,
"debt": 8000,
"equity": 4000,
"required_equity": 4800,
"shortfall": 800,
"equity_ratio": 0.3333333333333333
},
"trigger_assets": 13333.333333333334,
"actions": [
{
"action": "cash",
"feasible": true,
"amount": 800,
"fee": 0,
"repayment": 800,
"external_cash_used": 800,
"post": {
"assets": 12000,
"debt": 7200,
"equity": 4800,
"required_equity": 4800,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
},
{
"action": "sale800",
"feasible": true,
"amount": 800,
"fee": 0,
"repayment": 800,
"external_cash_used": 0,
"post": {
"assets": 11200,
"debt": 7200,
"equity": 4000,
"required_equity": 4480,
"shortfall": 480,
"equity_ratio": 0.35714285714285715
},
"satisfied": false,
"closed": false
},
{
"action": "sale",
"feasible": true,
"amount": 2000,
"fee": 0,
"repayment": 2000,
"external_cash_used": 0,
"post": {
"assets": 10000,
"debt": 6000,
"equity": 4000,
"required_equity": 4000,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
}
],
"selected": {
"action": "cash",
"feasible": true,
"amount": 800,
"fee": 0,
"repayment": 800,
"external_cash_used": 800,
"post": {
"assets": 12000,
"debt": 7200,
"equity": 4800,
"required_equity": 4800,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
},
"identity": "Account algebra; outside cash repayment is a transfer, not profit"
},
"fee20": {
"parameters": {
"assets": 12000,
"debt": 8000,
"maintenance": 0.4,
"interest_on": false,
"sale_fee": 20,
"action": "sale"
},
"interest": 0,
"initial": {
"assets": 12000,
"debt": 8000,
"equity": 4000,
"required_equity": 4800,
"shortfall": 800,
"equity_ratio": 0.3333333333333333
},
"trigger_assets": 13333.333333333334,
"actions": [
{
"action": "cash",
"feasible": true,
"amount": 800,
"fee": 0,
"repayment": 800,
"external_cash_used": 800,
"post": {
"assets": 12000,
"debt": 7200,
"equity": 4800,
"required_equity": 4800,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
},
{
"action": "sale800",
"feasible": true,
"amount": 800,
"fee": 20,
"repayment": 780,
"external_cash_used": 0,
"post": {
"assets": 11200,
"debt": 7220,
"equity": 3980,
"required_equity": 4480,
"shortfall": 500,
"equity_ratio": 0.35535714285714287
},
"satisfied": false,
"closed": false
},
{
"action": "sale",
"feasible": true,
"amount": 2050,
"fee": 20,
"repayment": 2030,
"external_cash_used": 0,
"post": {
"assets": 9950,
"debt": 5970,
"equity": 3980,
"required_equity": 3980,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
}
],
"selected": {
"action": "sale",
"feasible": true,
"amount": 2050,
"fee": 20,
"repayment": 2030,
"external_cash_used": 0,
"post": {
"assets": 9950,
"debt": 5970,
"equity": 3980,
"required_equity": 3980,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
},
"identity": "Account algebra; outside cash repayment is a transfer, not profit"
},
"interest": {
"parameters": {
"assets": 12000,
"debt": 8000,
"maintenance": 0.4,
"interest_on": true,
"sale_fee": 0,
"action": "sale"
},
"interest": 52.602739726027394,
"initial": {
"assets": 12000,
"debt": 8052.602739726028,
"equity": 3947.3972602739723,
"required_equity": 4800,
"shortfall": 852.6027397260277,
"equity_ratio": 0.3289497716894977
},
"trigger_assets": 13421.004566210047,
"actions": [
{
"action": "cash",
"feasible": true,
"amount": 852.6027397260277,
"fee": 0,
"repayment": 852.6027397260277,
"external_cash_used": 852.6027397260277,
"post": {
"assets": 12000,
"debt": 7200,
"equity": 4800,
"required_equity": 4800,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
},
{
"action": "sale800",
"feasible": true,
"amount": 800,
"fee": 0,
"repayment": 800,
"external_cash_used": 0,
"post": {
"assets": 11200,
"debt": 7252.602739726028,
"equity": 3947.3972602739723,
"required_equity": 4480,
"shortfall": 532.6027397260277,
"equity_ratio": 0.35244618395303323
},
"satisfied": false,
"closed": false
},
{
"action": "sale",
"feasible": true,
"amount": 2131.5068493150693,
"fee": 0,
"repayment": 2131.5068493150693,
"external_cash_used": 0,
"post": {
"assets": 9868.493150684932,
"debt": 5921.095890410958,
"equity": 3947.397260273973,
"required_equity": 3947.3972602739727,
"shortfall": 0,
"equity_ratio": 0.4000000000000001
},
"satisfied": true,
"closed": false
}
],
"selected": {
"action": "sale",
"feasible": true,
"amount": 2131.5068493150693,
"fee": 0,
"repayment": 2131.5068493150693,
"external_cash_used": 0,
"post": {
"assets": 9868.493150684932,
"debt": 5921.095890410958,
"equity": 3947.397260273973,
"required_equity": 3947.3972602739727,
"shortfall": 0,
"equity_ratio": 0.4000000000000001
},
"satisfied": true,
"closed": false
},
"identity": "Account algebra; outside cash repayment is a transfer, not profit"
},
"insolvent": {
"parameters": {
"assets": 7000,
"debt": 8000,
"maintenance": 0.4,
"interest_on": false,
"sale_fee": 0,
"action": "sale"
},
"interest": 0,
"initial": {
"assets": 7000,
"debt": 8000,
"equity": -1000,
"required_equity": 2800,
"shortfall": 3800,
"equity_ratio": -0.14285714285714285
},
"trigger_assets": 13333.333333333334,
"actions": [
{
"action": "cash",
"feasible": true,
"amount": 3800,
"fee": 0,
"repayment": 3800,
"external_cash_used": 3800,
"post": {
"assets": 7000,
"debt": 4200,
"equity": 2800,
"required_equity": 2800,
"shortfall": 0,
"equity_ratio": 0.4
},
"satisfied": true,
"closed": false
},
{
"action": "sale800",
"feasible": true,
"amount": 800,
"fee": 0,
"repayment": 800,
"external_cash_used": 0,
"post": {
"assets": 6200,
"debt": 7200,
"equity": -1000,
"required_equity": 2480,
"shortfall": 3480,
"equity_ratio": -0.16129032258064516
},
"satisfied": false,
"closed": false
},
{
"action": "sale",
"feasible": false,
"amount": null,
"fee": null,
"repayment": null,
"post": null,
"reason": "在现有证券、债务与费用范围内无法执行这项卖出还债；不能超卖或制造负借款。"
}
],
"selected": {
"action": "sale",
"feasible": false,
"amount": null,
"fee": null,
"repayment": null,
"post": null,
"reason": "在现有证券、债务与费用范围内无法执行这项卖出还债；不能超卖或制造负借款。"
},
"identity": "Account algebra; outside cash repayment is a transfer, not profit"
},
"resources": {
"parameters": {
"cash_only": true,
"unencumbered": true,
"eligible": true,
"currency_ok": true,
"location_ok": true,
"haircut": 0.2,
"cash_arrival_minutes": 630,
"security_arrival_minutes": 570
},
"call_amount": 800,
"nominal_security": 1000,
"recognized_security": 800,
"security_credit": 0,
"security_reasons": [
"本次只收现金"
],
"cash_credit": 0,
"cash_reason": "现金晚到",
"available_collateral_value": 0,
"available_cash": 0,
"remaining_call": 800,
"identity": "Separate resource card: same-day local clock; not added to the securities margin account"
}
},
"static_equivalent_markdown": "| 动作 | 金额 | 证券 | 债务 | 权益 | 所需权益 | 缺口 |\n| --- | --- | --- | --- | --- | --- | --- |\n| 现金还债 | 800.000000 | 12,000.000000 | 7,200.000000 | 4,800.000000 | 4,800.000000 | 0.000000 |\n| 出售800 | 800.000000 | 11,200.000000 | 7,200.000000 | 4,000.000000 | 4,480.000000 | 480.000000 |\n| 最少出售 | 2,000.000000 | 10,000.000000 | 6,000.000000 | 4,000.000000 | 4,000.000000 | 0.000000 |\n\n未付利息扩展：52.602740；带利息最少出售2,131.506849。费用20无利息最少出售2,050.000000。独立资源卡默认现金迟到、只收现金，可用0，缺800。",
"inputs_uri": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/inputs.json",
"results_uri": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/default-results.json",
"results_pointer": "/P08",
"reproduce_uri": "https://ou-liu-red-sugar.github.io/notebook/labs/p-e/reproduce.md"
}
]
```
## Sources
- [Liquidity Preparedness for Margin and Collateral Calls — Final Report](https://www.fsb.org/uploads/P101224-1.pdf): 政策研究中的流动性压力分析；未读全报告，不作因果估计或约束性规则。
P-E 使用范围：Recommendations6–8的资源可用性、haircut、币种/地点/截止与操作准备；不是零售统一账户规则。
本批读取范围：抵押品资格、占用、haircut、币种、地点与及时到账。
- [FINRA Rule 2264 Margin Disclosure Statement](https://www.finra.org/rules-guidance/rulebooks/finra-rules/2264): 贷款/抵押关系、处置/通知、提高内部要求和延期限制。
- [Regulatory Notice 26-10](https://www.finra.org/rules-guidance/notices/26-10): 2026-06-04生效及2027-10-20实施过渡；不替经纪商确认采用状态。
- [FINRA Rule 4210 Margin Requirements](https://www.finra.org/rules-guidance/rulebooks/finra-rules/4210): 适用普通长仓(c)(1)最低维持与(d)(1)内部要求；不是全部工具统一百分比。
- [Investor Bulletin: Understanding Margin Accounts](https://www.investor.gov/introduction-investing/general-resources/news-alerts/alerts-bulletins/investor-bulletins-29): 现金/融资账户、SEC 16000/8000→12000示例与利息。补救公式和费用扩展由本文推导，40%为例中条件。
## Content relations
```json
[
{
"from": "zh-p08",
"relation": "part_of",
"to": "portfolio-objectives",
"reason": "主要 topic 归属"
},
{
"from": "zh-p08",
"relation": "uses_method",
"to": "zh-p02",
"reason": "调用日期资金与回报基数"
},
{
"from": "zh-p08",
"relation": "uses_method",
"to": "zh-p03",
"reason": "调用情景损失与现金短缺的区分"
},
{
"from": "zh-p08",
"relation": "uses_method",
"to": "zh-m04",
"reason": "调用结算与抵押定义"
},
{
"from": "zh-p08",
"relation": "illustrated_by",
"to": "CASE-PE-SEC-MARGIN",
"reason": "同源教学算例／有日期原始观察；身份见https://ou-liu-red-sugar.github.io/notebook/labs/p-e/objects.json"
},
{
"from": "zh-p08",
"relation": "supported_by",
"to": "PE-SEC-MARGIN",
"reason": "重建官方账户及本金、权益和利息的区别",
"locator": "The Difference Between Cash and Margin Accounts; Understand How Margin Works; Know the Margin Rules; Understand Margin Calls; Interest Charges",
"scope": "现金/融资账户、SEC 16000/8000→12000示例与利息。补救公式和费用扩展由本文推导，40%为例中条件。"
},
{
"from": "zh-p08",
"relation": "supported_by",
"to": "PE-FINRA-4210",
"reason": "区分适用最低维持要求与内部标准",
"locator": "(c)(1) and (d)(1)",
"scope": "适用普通长仓(c)(1)最低维持与(d)(1)内部要求；不是全部工具统一百分比。"
},
{
"from": "zh-p08",
"relation": "supported_by",
"to": "PE-FINRA-2264",
"reason": "解释贷款/抵押、处置与通知及延期边界",
"locator": "(a)",
"scope": "贷款/抵押关系、处置/通知、提高内部要求和延期限制。"
},
{
"from": "zh-p08",
"relation": "supported_by",
"to": "MA-FSB",
"reason": "区分名义资产、可计抵押、币种/地点/截止前实际可用性",
"locator": "§3.3; Recommendations 6–8; printed pp18–20 / PDF pp22–24",
"scope": "Recommendations6–8的资源可用性、haircut、币种/地点/截止与操作准备；不是零售统一账户规则。"
},
{
"from": "zh-p08",
"relation": "supported_by",
"to": "PE-FINRA-2610",
"reason": "2026日内保证金过渡日期",
"locator": "Summary; Background & Discussion introduction; Implementation",
"scope": "2026-06-04生效及2027-10-20实施过渡；不替经纪商确认采用状态。",
"branch": "intraday-transition"
},
{
"from": "p08-lab",
"relation": "illustrated_by",
"to": "EXP-P08-LIQUIDITY-REMEDY",
"at_section": "p08-lab",
"reason": "重建融资账户、两种补救方式和截止前可用资源，解释800现金与2000出售为什么不同。"
}
]
```
## Related entries
## Optional reading path
做一次投资或对冲安排: step 5/9
比较现金还债与出售还债，再检查可计抵押和到账条件。
资金安排明确后，还要把目标数量落实为成交和剩余现金。
Next: [下单、成交与交易成本](https://ou-liu-red-sugar.github.io/zh/notebook/orders-execution-implementation-shortfall/)