Investment Math
Cap Rate: The Formula and How It Is Scored
Prevailing rates move with the market and vary by property type, quality and location. Nothing here states a normal or correct rate for any market, and no exam question expects you to supply one from memory; the figures you need will be printed in the item.
One ratio ties an income property's earnings to its price. Divide the annual net operating income by the price or value, and the result, stated as a percentage, is the capitalization rate.
Exam items rarely stop at the division. They test whether you assembled the income figure correctly, and whether you can run the same relationship backward when the unknown is the value instead of the rate.
Building the Income Figure First
The division is trivial. The work is in the numerator, and that is where the points are lost. Start from what the property would collect at full occupancy, subtract an allowance for vacancy and uncollected rent, add any income the property earns beyond rent, and you have effective gross income.
From effective gross income subtract the costs of running the property: property taxes, insurance, utilities the owner carries, repairs and maintenance, management, and a reserve for replacements where the item tells you to include one. What remains is net operating income.
Three categories stay out no matter how the item is worded. Mortgage principal and interest stay out, because the ratio is about the property rather than the buyer's loan. Income tax stays out, because it depends on the owner's own tax position. Capital improvements stay out, because they are investment in the asset rather than the cost of operating it in the period.
Read every dollar figure in the item against that list before you divide. An item that hands you an annual loan payment alongside taxes and insurance is testing whether you know which of the three to ignore.
The Three Forms of the Same Relationship
Income, rate and value form one triangle. Cover whichever one the item asks for and the arithmetic you need is what is left.
Rate unknown: divide net operating income by price or value, then express the result as a percentage. This is the form used when a sale has just happened and you want to know what return it implied.
Value unknown: divide net operating income by the rate, written as a decimal. This is direct capitalization, the arithmetic behind the income approach to value, and it is the form appraisal items use most.
Income unknown: multiply the value by the rate. This appears when an item asks what a property would have to earn to justify an asking price at a stated market rate.
The rate and the value move opposite each other whenever income is held constant. If the rate an item quotes goes up and the income does not, the indicated value has to come down, and the reverse is equally true.
The rate says nothing about the buyer's financing, so two buyers paying the same price for the same income stream compute the same rate no matter how differently they borrowed. Financing shows up in cash-on-cash return, not here.
Where Candidates Lose the Point
The mistakes are repetitive, which means they are easy to drill out.
Subtracting debt service. This is the single most common error, and it is punished on both forms of the question: it understates the income figure when the rate is unknown, and understates the value when the rate is given.
Using gross collections instead of net. Some items hand you rent and expenses separately precisely to see whether you subtract. Others hand you a figure already labeled net operating income, and candidates subtract the expenses a second time.
Mixing periods. Rents are often stated monthly and expenses annually, or the other way around. Convert everything to an annual basis before anything else, and write the unit next to each number as you go.
Decimal placement. A rate written as a percent has to become a decimal before it is used as a divisor, and a quotient has to be multiplied out before it is reported as a percent. An answer off by a factor of ten or a hundred is usually sitting right there among the choices, waiting for the candidate who skipped that conversion.
Drilling these under time is what fixes them. RE License Prep starts you with a free diagnostic, tracks whether the correction holds with your PassPulse Score, and sequences the remaining math through your PassMap™. Full access is $79 one time, with immediate access after checkout and a 30-day money-back guarantee.
Three Items, One Relationship
Illustrative figures, original to this page. Each item runs the same triangle in a different direction.
Question 1
Illustrative: a building collects $150,000 a year, operating expenses run $55,000, and it is valued at $1,187,500. What rate does that imply?
8 percent. Net operating income is $150,000 - $55,000 = $95,000, and $95,000 / $1,187,500 = 0.08, which is 8 percent once the decimal is moved.
Question 2
Illustrative: net operating income is $132,000 and comparable sales in the market indicate 5.5 percent. What value does that support?
$2,400,000, because $132,000 / 0.055 = $2,400,000. With the rate known and income known, the unknown value is simply the income divided by the rate written as a decimal.
Question 3
Illustrative: a buyer will not go below a 7.5 percent return on a property earning $97,500 net. What is the most that buyer can pay?
$1,300,000, since $97,500 / 0.075 = $1,300,000. Paying more than that with the income fixed would push the resulting rate under the buyer's threshold.
Cap Rate Questions the Exam Actually Asks
Why is the loan payment excluded?
So that the measure describes the property rather than the purchaser. Two buyers can finance the same building on completely different terms; leaving debt out lets the same building produce the same figure either way, which is what makes properties comparable at all.
What exactly is net operating income?
What the property collects after vacancy and credit loss, less the expenses of operating it. Loan payments, income tax and capital expenditures are not operating expenses and do not reduce it.
Does a higher rate mean a better buy?
Not by itself. A higher figure means more income per dollar of price, which the market usually attaches to weaker location, older construction, shorter or less certain leases, or more management effort. It is a price signal about risk, not a quality ranking.
Is this the same as return on investment?
No. It measures the property's income against its full price with no borrowing assumed and no appreciation counted. An investor's actual return also reflects leverage, principal reduction, value change and tax treatment.
Should a reserve for replacements be subtracted?
Appraisal practice generally treats a replacement reserve as an operating expense. On the exam, follow the item: if it lists a reserve among the expenses, subtract it, and if it does not mention one, do not invent it.
Pay once, study your state, sit the exam ready
One state, $79, no subscription. The free diagnostic shows where you stand before you pay.
Access opens immediately after checkout, and every purchase carries a 30-day money-back guarantee.