Math & Calculations Prep

Master the core real estate equations, test your knowledge with interactive simulators, and practice sample problems step-by-step.

Interactive Math Simulator

Calculated Cap Rate8.00%Formula: NOI / Value

Essential Formula Cheat Sheet

1

Capitalization Rate

Measures rate of return on rental investments. Note that NOI does not subtract debt service.

Cap Rate = NOI / Property Value
2

Property Tax (Mills)

Local property tax assessed. Mill rate represents units of $1 tax per $1,000 value.

Tax = Assessed Value × (Mills / 1,000)
3

Acreage Conversion

Converts square footage of rectangular or triangular parcels to acreage.

Acres = Total Square Feet / 43,560

Step-by-Step Practice Problems

Q

A commercial property sold for $450,000. It produces an annual gross income of $62,000, and annual vacancy losses are 5%. The operating expenses total $18,900 per year. What is the capitalization rate (Cap Rate)?

Correct Answer: 8.89%
Q

An agent closed a home transaction representing the buyer. The home sold for $320,000 with a 6% total commission split 50/50 between the listing and buying brokerages. If the agent's contract with their managing broker is a 70/30 split, what is the agent's net commission payout?

Correct Answer: $6,720
Q

An investor is purchasing a rectangular parcel of land that measures 250 feet wide by 522.7 feet deep. If land in this area sells for $12,000 per acre, what is the total cost of the parcel?

Correct Answer: $36,000
Q

A property tax assessor values a home at $280,000. The county uses an assessment ratio of 50% of market value. If the county tax rate is 35 mills, what is the annual property tax bill?

Correct Answer: $4,900

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