A rental property generates $84,000 in gross annual income. Operating expenses are $28,000. If the capitalization rate is 8%, what is the indicated value using direct capitalization?
Correct Answer
A) $700,000
Net Operating Income (NOI) = $84,000 - $28,000 = $56,000. Using the income capitalization formula: Value = NOI ÷ Cap Rate = $56,000 ÷ 0.08 = $700,000.
Why This Is the Correct Answer
Option A is correct because it follows the proper direct capitalization formula: Value = NOI ÷ Cap Rate. First, we calculate the Net Operating Income by subtracting operating expenses ($28,000) from gross income ($84,000) to get $56,000. Then we divide this NOI by the capitalization rate (8% or 0.08) to arrive at $700,000. This represents the present value of the property's income stream based on market-derived investor expectations.
Why the Other Options Are Wrong
Option B: $1,050,000
This answer of $1,050,000 results from incorrectly using the gross income ($84,000) instead of net operating income in the capitalization formula ($84,000 ÷ 0.08 = $1,050,000). This is a fundamental error because investors make decisions based on net income after expenses, not gross income.
Option C: $1,400,000
This answer of $1,400,000 appears to result from multiplying the NOI by the cap rate instead of dividing ($56,000 × 0.08 = $4,480, then possibly using an incorrect multiplier). This represents a basic mathematical error in applying the capitalization formula.
Option D: $350,000
This answer of $350,000 results from incorrectly using operating expenses ($28,000) in the formula instead of NOI, then dividing by the cap rate ($28,000 ÷ 0.08 = $350,000). This completely misunderstands the income capitalization concept since expenses represent costs, not income-producing capacity.
NOI-CAP Division Rule
Remember 'NOI over CAP' - Net Operating Income goes over (divided by) the CAPitalization rate. Think of it as 'NO Ice CAPS' - NOI ÷ CAPS = Value. Also remember: Gross minus Operating expenses = NOI (GO = NOI).
How to use: When you see a direct capitalization problem, immediately identify: 1) Calculate NOI (Gross Income - Operating Expenses), 2) Divide NOI by Cap Rate. Write 'NOI ÷ CAP = VALUE' at the top of your scratch work to avoid formula confusion.
Exam Tip
Always double-check that you're using NOI (not gross income) and dividing by the cap rate (not multiplying). Write out each step clearly: Step 1 - Calculate NOI, Step 2 - Apply formula. Convert percentages to decimals before calculating.
Common Mistakes to Avoid
- -Using gross income instead of net operating income in the formula
- -Multiplying NOI by cap rate instead of dividing
- -Forgetting to convert percentage cap rate to decimal form
Concept Deep Dive
Analysis
This question tests the fundamental income capitalization approach, one of the three primary valuation methods in real estate appraisal. The direct capitalization method converts a single year's net operating income into an estimate of market value using a capitalization rate derived from comparable sales. This approach assumes that the property's income and expenses are stabilized and representative of future performance. The key is understanding that value is determined by the relationship between net operating income and the required rate of return that investors expect from similar properties.
Background Knowledge
The income capitalization approach is based on the principle of anticipation - that value is created by the expectation of future benefits. Net Operating Income represents the annual income available to service debt and provide return on equity after all operating expenses but before debt service and income taxes.
Real-World Application
Appraisers use direct capitalization when valuing income-producing properties like apartment buildings, office buildings, and retail centers. The cap rate is typically derived from recent sales of comparable properties by analyzing their sale prices relative to their NOI, providing market-supported investor return expectations.
More Valuation Principles Questions
Which of the following best describes the bundle of rights theory in real estate?
Market value is best defined as:
The principle of substitution states that:
A comparable sale occurred 8 months ago for $450,000. Market conditions analysis shows property values have increased 0.5% per month. What is the adjusted sale price?
What is the difference between reproduction cost and replacement cost?
People Also Study
Property Description & Analysis
20% of exam
Market Analysis & Highest/Best Use
15% of exam
Appraisal Math & Statistics
15% of exam
USPAP (Ethics & Standards)
15% of exam
Report Writing & Compliance
10% of exam
Related Tools
Previous Question
Which economic characteristic of real estate refers to the concept that land in a given location is unique?
Next Question
In paired sales analysis, two properties sold for $285,000 and $305,000 respectively. The only difference is that the higher-priced property has a fireplace. What is the indicated adjustment for a fireplace?