将股票保证金规则换算为投资组合权重限制
文章 Quant Q&A · 作者: Taylor
总结
本文解释券商保证金规则如何限制投资组合权重,尤其是美元中性的股票组合。文中将总敞口(投资组合权重绝对值之和)与持有多头和空头头寸所需的资金联系起来。对于标准Reg T账户,答案介绍了50%的日终保证金要求,并在关于可用流动性和卖空所得资金的既定假设下,推导出总敞口上限为账户资金的2倍。
文章将其与组合保证金进行比较:多元化投资组合通常可能获准使用约4倍的总杠杆;根据证券种类和券商风险模型,更高限额也可能通过协商获得。这些数字仅为一般参考,并非普遍保证。初始保证金可能允许的日内头寸超过日终限额,从而导致强制平仓或其他账户后果。讨论聚焦于US股票;交易者在将这些估算用于组合设计前,应核实具体券商规则和账户条款。
核心观点
- 总敞口是投资组合权重绝对值之和,可用于从数学上表达杠杆限制。
- 文中称标准Reg T账户要求多头和空头股票头寸缴纳50%的日终保证金。
- 按既定假设,Reg T讨论推导出的总敞口上限为账户资金的2倍。
- 组合保证金可能允许多元化投资组合拥有更高总敞口,但实际限额取决于券商规则和风险模型。
- 日内购买力可能高于日终承受能力,因此若头寸超过收盘要求,可能会被强制平仓。
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# How do I know what my portfolio weight constraints are given to me by my broker? # How do I know what my portfolio weight constraints are given to me by my broker? I have started exploring portfolio optimization results that pop out when I don’t constrain the weights to sum to 1. For instance, in a dollar-neutral portfolio, the weights sum to 0. Also, some dollar neutral portfolios are more “extreme” than others, as measured by the sum of the absolute values of the weights. So how do I know if my broker will let me implement strategies like these? What are the accounting keywords that I have to understand to be able to answer this without resorting to the trial and error approach? I am looking for help converting some of this accounting language into mathematical language. Is the only that is necessary to consider my margin requirements? For equities, the primary consideration appears to be Reg T. The end-of-day margin requirement is 50% for both long and short positions. ## Answer by nbbo2 (score 1, accepted) https://quant.stackexchange.com/a/47113 In the US, Prime Brokers will generally follow either Reg T rules or Portfolio Margining rules. For Portfolio Margining accounts, assuming the account is somewhat diversified (not everything in one stock), they will generally allow 4 times gross leverage on the overall portfolio ($\sum_i |w_i|<=4$). This is negotiable and you may be able to get a higher limit, say 6 or 7 (as Ontic wrote) depending what securities you trade (based on the broker's internal risk model). This is only a general guideline, but it should give you a starting point for designing your strategy. Then you can negotiate with brokers (maybe you are such a profitable customer that you can get a better deal ;) ). ## Answer by Taylor (score 0) https://quant.stackexchange.com/a/47100 For equities, the primary consideration appears to be Reg T. The primary consideration is the end-of-day margin requirement, which is, for a Reg-T margin account, 50% for longs and shorts. However, the proceeds from a short sale cannot be used to increase your liquidity, unless you have a fancier account type, which is only available for those with a higher minimum account balance. So, for a standard Reg T margin account, the sum of the absolute value of the weights of all your longs and all your shorts may not exceed $2.0$ by the end of the day. A broker (mine at least) wouldn't stop me from entering into a trade and going over this, though, because the initial margin requirements are lower than the end-of-day margin requirements. However, there would likely be a forced liquidation at the end of the day, and that also might count against the number of pattern day trades you are allowed. Another interesting situation, say you put $1.99\%$ of your capital into a long position, and that position appreciates by $1\%$, then the total value of your longs is $2.0895\%$, and so you would trigger an end-of-day margin call.
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