← Florida Real Estate Exam: Math Calculations

Florida Real Estate Salesperson Exam Study Guide

Key concepts, definitions, and exam tips organized by topic.

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Florida Real Estate Exam: Math Calculations Study Guide


Overview

Florida real estate math calculations are a critical component of the state licensing exam, covering commissions, prorations, mortgages, property valuation, taxes, area measurements, and investment returns. Mastering these calculations requires understanding core formulas and knowing which numbers to plug in where. This guide organizes every major concept with clear formulas, worked examples, and exam tips.


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The Golden Rule of Real Estate Math


> Part ÷ Whole = Rate | Rate × Whole = Part | Part ÷ Rate = Whole


Nearly every real estate math problem is a variation of this three-part formula. Identify what you have and solve for what you need.


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Commission Calculations


Key Concepts

Commissions are calculated as a percentage of the sale price. They are then split between brokers and further divided between brokers and their salespersons.


Core Formulas

  • • Total Commission = Sale Price × Commission Rate
  • • Sale Price (to net a specific amount) = Desired Net ÷ (1 − Commission Rate)
  • • Sale Price (when commission is known) = Commission Amount ÷ Commission Rate
  • • Salesperson's Share = Broker's Share × Salesperson's Split Percentage

    • Step-by-Step Process for Split Commissions

    1. Calculate total commission (Sale Price × Rate)

    2. Split between listing and selling broker

    3. Apply each salesperson's split to their broker's share


    Example Walkthrough

    > Home sells for $285,000 at 6% commission. Brokers split 50/50. Listing salesperson gets 60% of listing broker's share.

    > - Total commission: $285,000 × 0.06 = $17,100

    > - Each broker's share: $17,100 ÷ 2 = $8,550

    > - Listing salesperson: $8,550 × 0.60 = $5,130


    Net-to-Seller Formula

    > Seller wants to net $210,000 after 7% commission.

    > - $210,000 ÷ (1 − 0.07) = $210,000 ÷ 0.93 = $225,806

    > - The complement of the commission rate (1 − rate) represents what the seller keeps.


    Key Terms

  • • Commission Rate – Percentage of sale price paid to brokers
  • • Commission Split – Division of commission between broker and salesperson
  • • Net Proceeds – Amount seller receives after commission
  • • Complement of the Rate – 1 minus the commission rate (what remains after the commission)
  • • Property Management Fee – Typically a percentage of collected (not potential) rents

    • Watch Out For

  • • ⚠️ When working backward from a net, always divide by the complement (not the rate itself)
  • • ⚠️ Property management fees are based on collected rents, not potential or scheduled rents
  • • ⚠️ In split commission problems, track each layer carefully: total → broker share → salesperson share
  • • ⚠️ If asked for the total commission paid to the office and only the salesperson's share is given, divide by the salesperson's percentage

    • ---


    Proration Calculations


    Key Concepts

    Prorations divide expenses or income between buyer and seller based on the closing date. Florida exams commonly use two methods:

  • • 30/360 Method – Each month has 30 days; year has 360 days
  • • 365-Day Method – Uses actual calendar days

    • Who Pays What

    | Item | Paid in Arrears (taxes) | Paid in Advance (rent, HOA dues) |

    |------|------------------------|----------------------------------|

    | Seller's responsibility | Days owned before closing | Days NOT owned after closing |

    | Resulting entry | Debit seller / Credit buyer | Debit buyer / Credit seller |


    Core Formulas

  • • Daily Rate (30/360) = Annual Amount ÷ 360
  • • Daily Rate (365-day) = Annual Amount ÷ 365
  • • Proration Amount = Daily Rate × Number of Days

    • Counting Days (30/360 Method)

  • • January 1 through September 1 = 8 months × 30 days = 240 days
  • • Count from January 1 to the closing date

    • Example Walkthrough

    > Annual taxes = $3,600. Closing date = September 1. 30/360 method.

    > - Daily rate: $3,600 ÷ 360 = $10/day

    > - Seller owned property for 8 months = 240 days

    > - Seller owes: 240 × $10 = $2,400 (debit seller, credit buyer)


    Security Deposit Rule

    > The buyer always receives credit for the tenant's security deposit. The seller collected it but the buyer must return it — so it transfers at closing.


    Key Terms

  • • Proration – Proportional division of income or expenses at closing
  • • Arrears – Paid after the period (e.g., property taxes) → seller owes at closing
  • • In Advance – Paid before the period (e.g., rent, HOA dues) → buyer owes seller
  • • Credit – Money owed to a party on the closing statement
  • • Debit – Money owed by a party on the closing statement
  • • 30/360 Method – Standardized calendar method using 30-day months
  • • Security Deposit – Always credited to the buyer at closing

    • Watch Out For

  • • ⚠️ Taxes are paid in arrears in Florida — the seller always owes the buyer for days owned
  • • ⚠️ Prepaid rent or HOA dues favor the seller (buyer credits seller for unused period)
  • • ⚠️ In the 30/360 method, every month = 30 days regardless of actual calendar days
  • • ⚠️ The convention "seller pays up to but not including closing day" means closing day belongs to the buyer
  • • ⚠️ Security deposits: always credit buyer, debit seller regardless of closing date

    • ---


    Mortgage & Financing Calculations


    Key Concepts

    Mortgage math involves calculating interest payments, loan amounts, down payments, discount points, qualifying ratios, and amortization breakdowns.


    Core Formulas

    | Calculation | Formula |

    |-------------|---------|

    | Monthly Interest | Loan Balance × Annual Rate ÷ 12 |

    | Loan Amount | Sale Price × LTV% |

    | Down Payment | Sale Price − Loan Amount |

    | Discount Points Cost | Loan Amount × (Points × 1%) |

    | Principal Paid | Monthly Payment − Monthly Interest |

    | Max PITI Payment | Gross Monthly Income × Front-End Ratio |


    LTV and Appraisal Rule

    > When the sale price and appraised value differ, lenders always use the lower of the two to calculate the maximum loan amount.

    > - Appraised value: $250,000; Sale price: $260,000; LTV: 95%

    > - Max loan = $250,000 × 0.95 = $237,500


    Discount Points

  • • Each point = 1% of the loan amount
  • • Points are prepaid interest paid at closing to lower the interest rate

    • Qualifying Ratios

  • • Front-End Ratio (28%) – PITI ÷ Gross Monthly Income ≤ 28%
  • • Back-End Ratio (36%) – Total debt payments ÷ Gross Monthly Income ≤ 36%

    • Key Terms

  • • LTV (Loan-to-Value Ratio) – Loan amount as a percentage of property value
  • • PITI – Principal, Interest, Taxes, Insurance (total monthly housing payment)
  • • Discount Points – Prepaid interest to buy down the mortgage rate (1 point = 1% of loan)
  • • Amortization – Gradual payoff of a loan through regular payments
  • • Front-End Ratio – Maximum housing expense as % of gross income
  • • Principal – The portion of a payment that reduces the loan balance

    • Watch Out For

  • • ⚠️ Always divide the annual interest rate by 12 for monthly interest calculations
  • • ⚠️ LTV is based on the lower of appraised value or purchase price
  • • ⚠️ Down payment = Sale Price − Loan Amount (not appraised value minus loan)
  • • ⚠️ Discount points are calculated on the loan amount, not the sale price
  • • ⚠️ In early payments, most of the payment is interest; the principal portion is small

    • ---


    Property Value & Appraisal


    Key Concepts

    Appraisers use three approaches: Sales Comparison, Cost, and Income. The income approach uses capitalization rate (cap rate) and gross rent multiplier (GRM). Depreciation applies only to improvements, never land.


    Core Formulas

    | Formula | Use |

    |---------|-----|

    | Value = NOI ÷ Cap Rate | Income approach valuation |

    | Cap Rate = NOI ÷ Value | Finding market cap rate |

    | NOI = EGI − Operating Expenses | Net operating income |

    | EGI = PGI × (1 − Vacancy Rate) | Effective gross income |

    | Value = GRM × Monthly Rent | Gross rent multiplier method |

    | GRM = Sale Price ÷ Monthly Rent | Calculating GRM |

    | Annual Depreciation = Building Value ÷ 27.5 | Straight-line residential depreciation |

    | Just Value = Assessed Value ÷ Assessment Ratio | Finding market value |


    IRV Formula Triangle

    ```

    I (Income/NOI)

    / \

    R × V

    (Rate) (Value)

    ```

  • • I = R × V → NOI = Cap Rate × Value
  • • R = I ÷ V → Cap Rate = NOI ÷ Value
  • • V = I ÷ R → Value = NOI ÷ Cap Rate

    • Depreciation Rules

  • • Residential property: 27.5-year straight-line
  • • Commercial property: 39-year straight-line
  • • Land is NEVER depreciated
  • • Building value = Purchase Price − Land Value

    • Key Terms

  • • NOI (Net Operating Income) – Income remaining after vacancies and operating expenses
  • • Cap Rate – Rate of return based on NOI and property value
  • • GRM (Gross Rent Multiplier) – Ratio of sale price to monthly gross rent
  • • PGI (Potential Gross Income) – Maximum possible rental income at 100% occupancy
  • • EGI (Effective Gross Income) – PGI minus vacancy and credit losses
  • • Straight-Line Depreciation – Equal annual depreciation deduction over useful life
  • • Assessment Ratio – Percentage of just value used to calculate assessed value

    • Watch Out For

  • • ⚠️ Never depreciate land — always subtract land value before calculating depreciation
  • • ⚠️ Residential = 27.5 years; Commercial = 39 years (don't mix them up)
  • • ⚠️ Cap rate and value have an inverse relationship — higher cap rate = lower value
  • • ⚠️ GRM uses monthly rent; make sure you're not using annual rent
  • • ⚠️ To find just (market) value from assessed value: divide by the assessment ratio

    • ---


    Property Tax Calculations


    Key Concepts

    Florida property taxes are based on the taxable value (assessed value minus exemptions) multiplied by the millage rate.


    Core Formula

    Annual Tax = Taxable Value × Millage Rate


    Understanding Mills

    | Expression | Equivalent |

    |-----------|-----------|

    | 1 mill | $1 per $1,000 of value |

    | 1 mill | 0.001 (decimal form) |

    | 10 mills | $10 per $1,000 = 1% |

    | 22 mills | 0.022 |


    Step-by-Step Tax Calculation

    1. Start with Just (Market) Value

    2. Apply assessment ratio → Assessed Value

    3. Subtract exemptions → Taxable Value

    4. Multiply by millage rate → Annual Tax


    Florida Homestead Exemption

  • • Up to $25,000 off assessed value for primary residence
  • • Additional $25,000 exemption for values between $50,000–$75,000 (does not apply to school taxes)

    • Example Walkthrough

    > Assessed value = $200,000; Homestead exemption = $25,000; Millage = 18 mills

    > - Taxable value: $200,000 − $25,000 = $175,000

    > - Annual tax: $175,000 × 0.018 = $3,150


    Key Terms

  • • Just Value – Fair market value of the property
  • • Assessed Value – Value assigned for tax purposes (may differ from just value)
  • • Taxable Value – Assessed value minus all applicable exemptions
  • • Mill / Millage Rate – Tax rate expressed in mills ($1 per $1,000 of value)
  • • Homestead Exemption – Florida tax reduction for primary residences

    • Watch Out For

  • • ⚠️ Convert mills to decimal by dividing by 1,000 (22 mills = 0.022)
  • • ⚠️ Apply exemptions to assessed value, not just value
  • • ⚠️ The sequence matters: Just Value → Assessed Value → Taxable Value → Tax
  • • ⚠️ The exam may give you millage as a whole number — always convert to decimal before multiplying

    • ---


    Area & Land Calculations


    Key Concepts

    Real estate area problems involve squares, rectangles, triangles, and land descriptions using sections and quarter-sections.


    Core Formulas

    | Shape | Formula |

    |-------|---------|

    | Rectangle/Square | Area = Length × Width |

    | Triangle | Area = ½ × Base × Height |

    | Conversion | 1 Acre = 43,560 sq ft |

    | Section | 1 Section = 640 acres = 1 square mile |

    | Construction Cost | Area (sq ft) × Cost per sq ft |


    Section and Quarter-Section Math

    ```

    Full Section = 640 acres

    ¼ Section = 160 acres

    ¼ of ¼ = 40 acres

    ¼ of ¼ of ¼ = 10 acres

    ```

    > SW¼ of NW¼ = 640 ÷ 4 ÷ 4 = 40 acres


    Acreage Conversion

  • • Square feet → Acres: Divide by 43,560
  • • Acres → Square feet: Multiply by 43,560

    • Key Terms

  • • Section – 1 square mile = 640 acres
  • • Township – 36 sections arranged in a 6×6 grid
  • • Quarter Section – 160 acres (¼ of a section)
  • • 43,560 – The magic number: square feet in one acre
  • • Frontage – Width of a lot along the street

    • Watch Out For

  • • ⚠️ Triangle area = ½ × base × height — don't forget the one-half
  • • ⚠️ Always divide square footage by 43,560 to convert to acres
  • • ⚠️ Reading land descriptions — work right to left (SW¼ of NW¼ means find NW first, then SW of that)
  • • ⚠️ Construction cost problems: calculate area first, then multiply by cost per square foot

    • ---


    Investment Return Calculations


    Key Concepts

    Investment math measures profitability through cash-on-cash return, percentage gain, NOI, and income/expense analysis.


    Core Formulas

    | Calculation | Formula |

    |-------------|---------|

    | Cash-on-Cash Return | Annual Cash Flow ÷ Cash Invested |

    | Percentage Gain | (Sale Price − Purchase Price) ÷ Purchase Price |

    | NOI | EGI − Operating Expenses |

    | EGI | PGI − Vacancy Loss |


    Income Property Analysis Flow

    ```

    Potential Gross Income (PGI)

    − Vacancy & Credit Loss

    = Effective Gross Income (EGI)

    − Operating Expenses

    = Net Operating Income (NOI)

    − Debt Service (mortgage payments)

    = Cash Flow Before Tax

    ```


    Example Walkthrough

    > *PGI = $60,000; Vacancy = 5%; Operating Expenses = $

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