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Introduction
1. Supervision
2. Registrations
3. Client issues
4. Investment products
5. Margin accounts
5.1 Introduction to margin accounts
5.2 Margin math
5.2.1 Basic margin math
5.2.2 Combined margin and more
6. Federal rules and regulations
Wrapping up
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5.2.2 Combined margin and more
Achievable Series 10
5. Margin accounts
5.2. Margin math

Combined margin and more

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Some clients hold combined margin accounts, with both long and short positions in the same account. Combined margin math simply combines the long equation and the short equation at the same time: LMV−DR=EQlong​ and CR−SMV=EQshort​ combine into (LMV−DR)+(CR−SMV)=EQcombined​.

Additional margin considerations

Excess equity

When the customer equity, EQ, in a margin account is above the minimum equity requirement governed by Regulation T, given the current market values, that is what creates excess equity. In both long and short, you need to figure out what the Reg T required equity is, given the new LMV or SMV, and compare it to the equity that the client actually has using the LMV or SMV along with the DR or CR originally calculated when the margin account was set up.

Example: Long excess equity

The client purchased $100,000 of securities and deposited the required $50,000 Reg T deposit, so there is no excess equity yet. If instead they deposited $75,000, the value is still $100,000, the required equity is still $50,000, but they have $75,000, which means they have excess of $25,000. The same idea happens with the original $50,000 deposit if the account grows instead: say the account grows to a value of $150,000. The DR stays at $50,000 because that’s what was borrowed, so equity is $150,000−$50,000=$100,000. With a LMV of $150,000, the required equity is $75,000, but we have $100,000 - again, $25,000 excess.

Example: Short excess equity

A client short sells $30,000 and makes the required deposit. This has a SMV of $30,000, required equity deposit of $15,000, CR is therefore $45,000, and CR−SMV=$15,000, so everything is balanced, no excess equity. If instead they had deposited $20,000, they have a CR of $50,000, so with a SMV of $30,000, CR−SMV=$20,000 in equity against a required equity of only $15,000 - that’s $5,000 of excess equity. If instead they made the required $15,000 deposit, and the market price of the security fell so the SMV dropped to $25,000: the CR is still $45,000 ($30,000 short value + $15,000 Reg T deposit), so CR−SMV=$45,000−$25,000=$20,000 in equity. The required equity on a $25,000 SMV is only $12,500, so that’s $7,500 of excess equity.

Special memorandum account (SMA)

Effectively, a credit account is created with excess equity in a margin account. It can be taken as cash, or can be used to buy additional securities, or short additional securities.

The exam focuses these calculations on long accounts, so this section does too; short accounts work the same way in reverse. Cash withdrawn from SMA isn’t cash sitting in the account, since nothing was sold to raise it: it is a loan from the broker-dealer, so every dollar withdrawn from SMA increases the DR by $1. That is how the account stays in balance.

Watch out: withdrawing SMA is a loan from the broker-dealer, not free cash - it raises the DR in a long account or lowers the CR in a short account, so it never creates new equity and can’t be used to remove a restriction.

SMA is created from excess equity and is marked to the market each day. It works like a high-water mark: it locks in the credit the broker-dealer is willing to lend, so it does not fall when the market moves against the account. It simply stops rising until excess equity climbs above it again, and it only goes down when the customer uses it, by withdrawing cash or buying securities.

Example: SMA withdrawal in a long account

A client buys $50,000 of securities and makes the required $25,000 deposit, so equity is $25,000 and the DR is $25,000. The value grows to $60,000: equity is now $60,000 - $25,000 = $35,000. The Reg T requirement on a $60,000 LMV is $30,000, so there is $5,000 of excess equity, credited to SMA. If the client withdraws all $5,000, the LMV stays at $60,000, since the market hasn’t changed, and the DR rises from $25,000 to $30,000. Equity is now $30,000, exactly 50% of the $60,000 LMV, because all of the SMA was withdrawn.

Similarly, in a short account, if there is SMA, if withdrawn as cash, it decreases the CR dollar for dollar. If there was $10,000 in SMA, and the customer withdrew $5,000 of it, the effect of that loan is a reduction in the credit register, as opposed to an increase in the debit register of a long margin account.

For every $1 rise in LMV in a long account, the SMA increases by $0.50: the debit balance doesn’t change, so equity rises $1 while the 50% Reg T requirement rises $0.50. For every $1 fall in SMV in a short account, the SMA increases by $1.50: the credit balance doesn’t change, so equity rises $1 and the 50% Reg T requirement falls $0.50. These rates hold only once equity is at or above the Reg T requirement: in a restricted account, a gain first makes up the shortfall, and SMA is created only by the part that lifts equity past 50%.

Buying power

Buying power is how much more the customer can buy on margin with the current account. A customer who wants $50,000 of securities must deposit the $25,000 Reg T requirement, which creates no additional buying power. Depositing $30,000 instead creates $5,000 of excess equity, and so $10,000 of buying power: $30,000 could have bought $60,000 of securities on margin, but only $50,000 was bought, so the broker-dealer is willing to lend $10,000 more to invest.

In simplest terms, remember cash is twice its value in buying power, because of the 50% Reg T value, but fully paid securities only have equal buying power, because they are worth 50% in cash, due to Reg T again, and that 50% in cash, would therefore buy twice as much, or 100% of the fully paid securities. Cash doubles, fully paid securities are just equal value.

As SMA can be withdrawn in cash or buying power, it is effectively a line of credit; buying power is twice the value of the SMA.

Restricted accounts

Accounts become restricted when the customer’s equity in the account falls below 50%. This is not a maintenance call, that is when it falls below 25% for long, or 30% for short account, this is simply when it is below 50% equity. When an account is restricted, there are rules on any transactions in the account. You can still do closing transactions, but 50% of any proceeds must be used to reduce the debit or credit balance. Transferring funds from the SMA will not remove a restriction, as SMA is effectively a line of credit. To remove restrictions, the LMV or SMV must move into the territory where the customer generates equity (up high enough for LMV, down low enough for SMV), or the customer must deposit more cash, or fully paid securities into the account, increasing their equity portion to above 50%. Selling securities and putting all of the proceeds toward the debit balance works too: equity stays the same while the LMV falls, so the equity percentage rises.

Combined margin accounts

  • Long and short positions in same account combine both equations: (LMV−DR)+(CR−SMV)=EQcombined​

Excess equity

  • Occurs when actual equity exceeds Reg T required equity (50%) based on current LMV/SMV
  • Long: compare LMV−DR to 50% of current LMV
  • Short: compare CR−SMV to 50% of current SMV
  • Can arise from extra deposit or from favorable market movement (LMV rising, SMV falling)

Special Memorandum Account (SMA)

  • Credit line created from excess equity; usable as cash withdrawal or to buy/short more securities
  • Withdrawing SMA is a loan, not free cash:
    • Long account: raises DR dollar-for-dollar
    • Short account: lowers CR dollar-for-dollar
  • Never creates new equity, cannot remove a restriction
  • Acts as a high-water mark: marked to market daily, never decreases from adverse market moves, only decreases when used
  • Growth rates (once equity ≥ Reg T requirement):
    • Long: $1 rise in LMV → SMA grows $0.50
    • Short: $1 fall in SMV → SMA grows $1.50
    • In restricted accounts, gains first offset shortfall before SMA accrues

Buying power

  • Measures additional securities purchasable on margin
  • Cash counts double (since Reg T is 50%); fully paid securities count at equal value
  • Buying power = 2 × SMA (since SMA acts like a credit line)

Restricted accounts

  • Triggered when equity falls below 50% (distinct from maintenance calls: 25% long / 30% short)
  • Closing transactions still allowed, but 50% of proceeds must reduce debit/credit balance
  • SMA transfers cannot remove restriction (it’s just credit, not equity)
  • Ways to remove restriction:
    • Favorable market move (LMV up / SMV down) raising equity %
    • Deposit more cash or fully paid securities
    • Sell securities and apply all proceeds to debit balance (lowers LMV while equity stays same, raising equity %)

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Combined margin and more

Some clients hold combined margin accounts, with both long and short positions in the same account. Combined margin math simply combines the long equation and the short equation at the same time: LMV−DR=EQlong​ and CR−SMV=EQshort​ combine into (LMV−DR)+(CR−SMV)=EQcombined​.

Additional margin considerations

Excess equity

When the customer equity, EQ, in a margin account is above the minimum equity requirement governed by Regulation T, given the current market values, that is what creates excess equity. In both long and short, you need to figure out what the Reg T required equity is, given the new LMV or SMV, and compare it to the equity that the client actually has using the LMV or SMV along with the DR or CR originally calculated when the margin account was set up.

Example: Long excess equity

The client purchased $100,000 of securities and deposited the required $50,000 Reg T deposit, so there is no excess equity yet. If instead they deposited $75,000, the value is still $100,000, the required equity is still $50,000, but they have $75,000, which means they have excess of $25,000. The same idea happens with the original $50,000 deposit if the account grows instead: say the account grows to a value of $150,000. The DR stays at $50,000 because that’s what was borrowed, so equity is $150,000−$50,000=$100,000. With a LMV of $150,000, the required equity is $75,000, but we have $100,000 - again, $25,000 excess.

Example: Short excess equity

A client short sells $30,000 and makes the required deposit. This has a SMV of $30,000, required equity deposit of $15,000, CR is therefore $45,000, and CR−SMV=$15,000, so everything is balanced, no excess equity. If instead they had deposited $20,000, they have a CR of $50,000, so with a SMV of $30,000, CR−SMV=$20,000 in equity against a required equity of only $15,000 - that’s $5,000 of excess equity. If instead they made the required $15,000 deposit, and the market price of the security fell so the SMV dropped to $25,000: the CR is still $45,000 ($30,000 short value + $15,000 Reg T deposit), so CR−SMV=$45,000−$25,000=$20,000 in equity. The required equity on a $25,000 SMV is only $12,500, so that’s $7,500 of excess equity.

Special memorandum account (SMA)

Effectively, a credit account is created with excess equity in a margin account. It can be taken as cash, or can be used to buy additional securities, or short additional securities.

The exam focuses these calculations on long accounts, so this section does too; short accounts work the same way in reverse. Cash withdrawn from SMA isn’t cash sitting in the account, since nothing was sold to raise it: it is a loan from the broker-dealer, so every dollar withdrawn from SMA increases the DR by $1. That is how the account stays in balance.

Watch out: withdrawing SMA is a loan from the broker-dealer, not free cash - it raises the DR in a long account or lowers the CR in a short account, so it never creates new equity and can’t be used to remove a restriction.

SMA is created from excess equity and is marked to the market each day. It works like a high-water mark: it locks in the credit the broker-dealer is willing to lend, so it does not fall when the market moves against the account. It simply stops rising until excess equity climbs above it again, and it only goes down when the customer uses it, by withdrawing cash or buying securities.

Example: SMA withdrawal in a long account

A client buys $50,000 of securities and makes the required $25,000 deposit, so equity is $25,000 and the DR is $25,000. The value grows to $60,000: equity is now $60,000 - $25,000 = $35,000. The Reg T requirement on a $60,000 LMV is $30,000, so there is $5,000 of excess equity, credited to SMA. If the client withdraws all $5,000, the LMV stays at $60,000, since the market hasn’t changed, and the DR rises from $25,000 to $30,000. Equity is now $30,000, exactly 50% of the $60,000 LMV, because all of the SMA was withdrawn.

Similarly, in a short account, if there is SMA, if withdrawn as cash, it decreases the CR dollar for dollar. If there was $10,000 in SMA, and the customer withdrew $5,000 of it, the effect of that loan is a reduction in the credit register, as opposed to an increase in the debit register of a long margin account.

For every $1 rise in LMV in a long account, the SMA increases by $0.50: the debit balance doesn’t change, so equity rises $1 while the 50% Reg T requirement rises $0.50. For every $1 fall in SMV in a short account, the SMA increases by $1.50: the credit balance doesn’t change, so equity rises $1 and the 50% Reg T requirement falls $0.50. These rates hold only once equity is at or above the Reg T requirement: in a restricted account, a gain first makes up the shortfall, and SMA is created only by the part that lifts equity past 50%.

Buying power

Buying power is how much more the customer can buy on margin with the current account. A customer who wants $50,000 of securities must deposit the $25,000 Reg T requirement, which creates no additional buying power. Depositing $30,000 instead creates $5,000 of excess equity, and so $10,000 of buying power: $30,000 could have bought $60,000 of securities on margin, but only $50,000 was bought, so the broker-dealer is willing to lend $10,000 more to invest.

In simplest terms, remember cash is twice its value in buying power, because of the 50% Reg T value, but fully paid securities only have equal buying power, because they are worth 50% in cash, due to Reg T again, and that 50% in cash, would therefore buy twice as much, or 100% of the fully paid securities. Cash doubles, fully paid securities are just equal value.

As SMA can be withdrawn in cash or buying power, it is effectively a line of credit; buying power is twice the value of the SMA.

Restricted accounts

Accounts become restricted when the customer’s equity in the account falls below 50%. This is not a maintenance call, that is when it falls below 25% for long, or 30% for short account, this is simply when it is below 50% equity. When an account is restricted, there are rules on any transactions in the account. You can still do closing transactions, but 50% of any proceeds must be used to reduce the debit or credit balance. Transferring funds from the SMA will not remove a restriction, as SMA is effectively a line of credit. To remove restrictions, the LMV or SMV must move into the territory where the customer generates equity (up high enough for LMV, down low enough for SMV), or the customer must deposit more cash, or fully paid securities into the account, increasing their equity portion to above 50%. Selling securities and putting all of the proceeds toward the debit balance works too: equity stays the same while the LMV falls, so the equity percentage rises.

Key points

Combined margin accounts

  • Long and short positions in same account combine both equations: (LMV−DR)+(CR−SMV)=EQcombined​

Excess equity

  • Occurs when actual equity exceeds Reg T required equity (50%) based on current LMV/SMV
  • Long: compare LMV−DR to 50% of current LMV
  • Short: compare CR−SMV to 50% of current SMV
  • Can arise from extra deposit or from favorable market movement (LMV rising, SMV falling)

Special Memorandum Account (SMA)

  • Credit line created from excess equity; usable as cash withdrawal or to buy/short more securities
  • Withdrawing SMA is a loan, not free cash:
    • Long account: raises DR dollar-for-dollar
    • Short account: lowers CR dollar-for-dollar
  • Never creates new equity, cannot remove a restriction
  • Acts as a high-water mark: marked to market daily, never decreases from adverse market moves, only decreases when used
  • Growth rates (once equity ≥ Reg T requirement):
    • Long: $1 rise in LMV → SMA grows $0.50
    • Short: $1 fall in SMV → SMA grows $1.50
    • In restricted accounts, gains first offset shortfall before SMA accrues

Buying power

  • Measures additional securities purchasable on margin
  • Cash counts double (since Reg T is 50%); fully paid securities count at equal value
  • Buying power = 2 × SMA (since SMA acts like a credit line)

Restricted accounts

  • Triggered when equity falls below 50% (distinct from maintenance calls: 25% long / 30% short)
  • Closing transactions still allowed, but 50% of proceeds must reduce debit/credit balance
  • SMA transfers cannot remove restriction (it’s just credit, not equity)
  • Ways to remove restriction:
    • Favorable market move (LMV up / SMV down) raising equity %
    • Deposit more cash or fully paid securities
    • Sell securities and apply all proceeds to debit balance (lowers LMV while equity stays same, raising equity %)

More from Margin math

  • Basic margin math