New Jersey Real Estate Salesperson · Real Estate Calculations
Income and Investment Calculations
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In 30 seconds
Investors value a building by the income it produces, either roughly with a gross rent multiplier or precisely with net operating income and a capitalization rate. The tested distinction is that the gross rent multiplier uses rent before any expenses, while the capitalization rate uses net operating income after vacancy and operating expenses.
Why this matters
Income-property problems reward anyone who can rearrange one triangle of value, income, and rate, and they punish anyone who plugs gross rent into a formula that calls for net operating income.
The college version
In normal terms
- Gross rent multiplier equals sale price divided by gross monthly rent; it is a quick comparison tool that ignores expenses entirely.
- Net operating income equals effective gross income minus operating expenses, where effective gross income is potential rent minus vacancy and collection loss plus other income.
- Capitalization rate equals net operating income divided by value, and value equals net operating income divided by the capitalization rate; the same triangle solved for a different corner.
Concepts in this outline
- Gross rent multiplier: GRM = Sale Price / Gross Monthly Rent — sale price of a comparable divided by its total monthly rent before expenses; multiply a subject's rent by the GRM for a rough value.
- Net operating income: NOI = Effective Gross Income − Operating Expenses — effective gross income is potential rent less vacancy plus other income; operating expenses exclude debt service; the remainder is NOI.
- Capitalization rate: R = NOI / Value — R is the rate of return; NOI is annual net operating income; value is the sale price or appraised value of the property.
- Value from income: V = NOI / R — V is the indicated value; divide annual net operating income by the capitalization rate the market or investor requires.
Eli explains
The same idea, in plain words
Explain it like I’m 10
To an investor, an apartment building is a machine that produces money, and its value depends on how much money it makes.
The rough tool is the gross rent multiplier, or GRM. Divide a comparable's sale price by its gross monthly rent to get how many months of rent the price represents, then multiply a subject property's monthly rent by that GRM for a rough value. GRM ignores expenses, which is both its convenience and its weakness.
The precise tool starts with income after the real world takes its cut. Potential rent minus vacancy and collection loss, plus other income such as laundry or parking, is effective gross income. Subtract operating expenses such as taxes, insurance, maintenance, and management, and what remains is net operating income, or NOI. Mortgage payments are not operating expenses.
The capitalization rate, or cap rate, is NOI divided by value, the return the building produces on its price. Turn it around and value equals NOI divided by the cap rate. Why cap rates rise and fall with risk belongs to valuation (see Topic 03).
Worked example
Owen is helping an investor, Celeste, compare two Montclair apartment buildings. The first just sold for $1,000,000 with gross monthly rent of $10,000, so its GRM is $1,000,000 ÷ $10,000 = 100. Its potential annual rent is $120,000, vacancy is $6,000, and other income is zero, so effective gross income is $114,000. Operating expenses are $34,000, so NOI is $114,000 − $34,000 = $80,000. The cap rate is $80,000 ÷ $1,000,000 = 0.08, or 8%. The second building has a verified NOI of $64,000, and Celeste wants the same 8% return, so its indicated value is $64,000 ÷ 0.08 = $800,000. Owen notes that the second building's asking price of $900,000 is above that figure.
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