A cap-rate problem and a gross-rent-multiplier problem can describe the same property but require different numbers. Direct capitalization uses the stated net operating income. A gross rent multiplier uses the stated gross rent. Before calculating, underline both the type of income and its time period.
This worksheet builds on the Chapter 18 investment guide. All figures below are invented for study. They are not Florida market benchmarks, property valuations, loan offers or questions taken from the state examination.
Exercise 1: Work from potential rent to NOI
A practice property has potential annual rent of $72,000. The problem gives a 10% vacancy and collection-loss allowance, no other income, and $20,000 of annual operating expenses. For this exercise, that expense figure includes all operating costs to be deducted, including property taxes and insurance; there are no additional reserve allowances. Annual loan principal and interest total $30,000.
Find the net operating income (NOI), then the simplified cash remaining after debt service.
- Vacancy and collection loss: $72,000 x 0.10 = $7,200.
- Effective gross income: $72,000 - $7,200 = $64,800.
- NOI: $64,800 - $20,000 = $44,800.
- Cash after the stated debt service: $44,800 - $30,000 = $14,800.
These are two answers to two questions. The $44,800 describes operations before financing. The $14,800 includes the specified financing payment, but it is not a promise of spendable profit: income taxes, capital spending and other cash needs are outside this simplified exercise. If those distinctions are unfamiliar, return to the mortgage and loan-payment guide.
The California State Board of Equalization's income-processing lesson explains the distinction between potential income, vacancy losses and effective income. Its property-tax appraisal conventions are not being imported into this Florida practice problem; use the expense assumptions expressly stated here.
Exercise 2: Turn the given NOI into an indicated value
Use the $44,800 annual NOI and a capitalization rate supplied by the question of 7%.
Indicated value = annual NOI / cap rate as a decimal.
$44,800 / 0.07 = $640,000.
Entering 7 instead of 0.07 gives $6,400, one hundredth of the intended result. Before accepting an answer, put it back into the calculation: $640,000 x 0.07 returns $44,800. The Board's capitalization lesson explains the relationship between income, rate and value; the numbers and exercises here are our own.
Now hold NOI unchanged and use an 8% rate: $44,800 / 0.08 = $560,000. A larger divisor produces a smaller indicated value. That arithmetic does not establish a suitable rate for a real property. In an actual valuation, the income and rate need support and must be consistent with one another.
Exercise 3: Keep a rent multiplier's period consistent
A different exercise gives gross rent of $4,000 per month and explicitly supplies an annual gross rent multiplier of 9. It asks for the indicated value using that method, not a cap rate.
- Annual gross rent: $4,000 x 12 = $48,000.
- Indicated value: $48,000 x 9 = $432,000.
If the question instead supplies a monthly multiplier of 108, use $4,000 x 108 = $432,000. Multiplying monthly rent by the annual multiplier of 9 produces $36,000 and mixes incompatible periods. A multiplier is not a percentage, so neither 9 nor 108 belongs in the cap-rate formula as though it were 9% or 108%.
Do not substitute NOI into this gross-rent calculation. The multiplier is defined using gross rent. For the broader valuation methods, read the Chapter 17 appraisal guide. Fannie Mae's income-approach guidance also requires supporting rent and sales evidence when that approach is used; a classroom multiplier is not enough to appraise a property.
Try one without looking back
A practice property has potential annual rent of $60,000, a 5% vacancy allowance, no other income and $21,000 of operating expenses, including all operating deductions for this problem. The question supplies a 6% capitalization rate. What are NOI and indicated value?
Answer: Vacancy is $3,000, effective gross income is $57,000, and NOI is $36,000. Dividing $36,000 by 0.06 gives $600,000. If your result differs, check the income level before checking the calculator.
Use the right question to choose the formula
Ask: gross or net, monthly or annual, rate or multiplier? Those three checks prevent several mistakes at once. Continue with Chapter 18 practice questions, or compare your reasoning with the forum discussion on multiplying versus dividing in capitalization.
For a different kind of valuation exercise, work through comparable-sale adjustments. To follow the complete lesson sequence, start the free course; the pricing page explains the separate certificate charge.
