Investment Math
Capitalization Rate and the Income Approach to Value
Rates are observed in a market, not looked up in a table. Nothing on this page states a typical or acceptable rate for any place or property type, and no exam item requires you to know one; any figure you need will be given to you in the question.
An income property is bought for what it earns. Capitalization is the arithmetic that turns one year of earnings into an indication of what the asset is worth, and the capitalization rate is the divisor that does it.
Licensing exams approach the topic from the valuation side: given an income stream and a rate drawn from comparable sales, what is the property worth, and what does the answer assume.
What Capitalization Actually Does
Value in the income approach is the present worth of future benefits. Direct capitalization compresses that idea into one step: take a single stabilized year of net operating income, divide it by a rate the market has revealed, and read the quotient as an indication of value.
The rate itself is not chosen by the appraiser out of judgment alone. It is extracted from sales of comparable income properties, by dividing each property's net operating income by the price a buyer actually paid. Those observed quotients are then reconciled into one rate appropriate to the subject.
That is why the rate carries information about the market rather than about the individual building. Buyers who accept less income per dollar are paying for something: durable tenancy, a location expected to hold up, a building with little deferred work. Buyers who demand more income per dollar are pricing in the opposite.
Stated as a formula, value equals the annual net operating income divided by the rate expressed as a decimal. Rearranged, the rate equals income divided by price, and income equals price multiplied by the rate. The exam uses all three arrangements.
Assumptions Baked Into the One-Step Method
Direct capitalization is quick because it assumes a great deal. Knowing what it assumes is how you answer items that ask when the method is inappropriate.
The income year is stabilized. One good year or one bad year is not the basis; the figure is meant to represent normal ongoing operation at market rents and normal occupancy.
The income is level and perpetual. The method assumes the stream continues without a defined change in pattern. A property with a large step in rent at a known future date, or a stream with a fixed endpoint, is better handled by discounting the years individually.
The rate came from genuinely comparable sales. A rate extracted from a different property type, a different submarket or an atypically motivated sale is the wrong divisor no matter how carefully the arithmetic is done.
The income figure was built the same way in the comparables as in the subject. If the comparables' income was calculated after a replacement reserve and the subject's was not, the rate and the income no longer match and the answer is wrong.
The rate reflects the property unencumbered by any particular loan. Purchase financing is not part of the calculation, which is exactly why the approach can compare properties bought under different terms.
Reading Valuation Items Without Getting Caught
Valuation items are written to be answerable in a couple of minutes. A fixed order of operations gets you there.
Identify the unknown before touching any number. Items are worded so that the same set of figures could support any of the three arrangements, and candidates lose points by computing the quantity the item already gave them.
Assemble the income next. Start from collections at full occupancy, reduce for vacancy and credit loss, add other income, subtract operating expenses, and leave out loan payments, income tax and capital spending. Only then look at the rate.
Convert the rate to a decimal and check the scale of your answer against common sense. A modest income stream divided by a small decimal produces a large value; if the number you get is off by an order of magnitude from the choices offered, the decimal point is the first place to look.
Watch the direction of the relationship in items that change one variable. Hold income constant and raise the rate, and the indicated value falls. Hold income constant and lower the rate, and it rises. Raise the income and hold the rate, and the value rises proportionally.
That sequence becomes automatic with repetition. RE License Prep begins with a free diagnostic to show where the valuation items are actually going wrong, reports whether the fix is durable through your PassPulse Score, and schedules the remaining drilling in your PassMap™. Access is $79 one time with a 30-day money-back guarantee.
Two Items to Try
Original items with illustrative figures. Pick your answer before reading the worked line underneath.
Question 1
Illustrative: a small apartment building takes in $96,000 of rent a year against $36,000 of operating expenses, and comparable buildings in that submarket are trading at a 5 percent rate. What value is indicated? (A) $720,000 (B) $1,000,000 (C) $1,200,000 (D) $1,920,000
C. Strip out the expenses first, $96,000 - $36,000 = $60,000 of net operating income, then divide by the rate: $60,000 / 0.05 = $1,200,000. Choice D is what you get by capitalizing the gross rent instead.
Question 2
Illustrative: an investor closes on a property at $750,000 and the net operating income is $60,000. What rate did that purchase price produce? (A) 7 percent (B) 8 percent (C) 9 percent (D) 10 percent
B. Dividing income by price gives $60,000 / $750,000 = 0.08, which is 8 percent. The price paid is the denominator here because the sale itself is the evidence of value.
Capitalization Questions Candidates Bring
Where does the rate come from if it is not published?
From the market. An appraiser divides the net operating income of recently sold comparable properties by their sale prices, then reconciles those results into a rate suited to the subject. Published surveys exist, but they describe broad categories rather than a specific property.
Does the calculation account for the mortgage?
No. Both the income figure and the rate are computed before debt service, which is what makes the result an indication of the property's value rather than a measure of one buyer's return.
What is included in the income figure?
Collections at full occupancy, reduced by vacancy and credit loss and increased by any non-rent income the property generates, less the costs of operating it. Mortgage payments, income taxes and capital improvements are not deducted.
What happens to value when rates in a market rise?
If the income does not move with them, indicated values fall, because the same income is being divided by a larger number. This is the mechanism behind items that link rising borrowing costs to softer property values.
When is direct capitalization the wrong tool?
When the income is not stable or not perpetual: a property in lease-up, one with a major scheduled rent change, one with heavy deferred maintenance, or a leasehold that ends. Those call for a yield analysis that discounts each period rather than one division.
Is this the same as the gross rent multiplier?
No. A gross rent multiplier is applied to gross rent without any deduction for expenses, and it is a multiplier rather than a divisor. Capitalization works from net operating income, so it reflects how expensively a property runs and the multiplier does not.