A property sold for $450,000 and had a gross annual rental income of $54,000. What is the gross rent multiplier (GRM)?
Correct Answer
A) 8.33
GRM is calculated by dividing the sale price by the gross annual rental income. $450,000 ÷ $54,000 = 8.33.
Why This Is the Correct Answer
Option A is correct because GRM is calculated using the simple formula: Sale Price ÷ Gross Annual Rental Income. Applying this formula: $450,000 ÷ $54,000 = 8.33. This means it would take 8.33 years of gross rental income to equal the property's sale price. The calculation is straightforward division with no additional adjustments or conversions needed.
Why the Other Options Are Wrong
Option B: 12.0
Option B (12.0) results from incorrectly dividing the gross monthly rental income into the sale price instead of annual income, or from some other mathematical error in the calculation process.
Option C: 0.12
Option C (0.12) represents the inverse calculation, showing gross annual rental income divided by sale price ($54,000 ÷ $450,000), which would give the capitalization rate concept rather than the GRM.
Option D: 83.3
Option D (83.3) appears to result from multiplying rather than dividing, or from using incorrect units in the calculation, possibly confusing monthly vs. annual figures.
Sale Price Goes Over Gross Income
Remember 'SPOGI' - Sale Price Over Gross Income. Visualize a fraction with the bigger number (sale price) on top and smaller number (rental income) on bottom, which always gives you a number greater than 1.
How to use: When you see a GRM question, immediately write the fraction: Sale Price/Gross Annual Income. The 'bigger over smaller' visual ensures you don't accidentally calculate the inverse.
Exam Tip
Always verify your GRM result makes logical sense - it should typically range between 4-15 for most properties, with single-family homes often in the 8-12 range.
Common Mistakes to Avoid
- -Using monthly rent instead of annual rent in the calculation
- -Calculating the inverse (income ÷ price) instead of GRM
- -Confusing GRM with capitalization rate formulas
Concept Deep Dive
Analysis
The Gross Rent Multiplier (GRM) is a fundamental real estate valuation metric that measures the relationship between a property's market value and its gross rental income. It serves as a quick screening tool for investors and appraisers to compare similar income-producing properties. The GRM indicates how many years of gross rental income it would take to equal the property's purchase price, making it useful for rapid market analysis. A lower GRM generally suggests better investment potential, while higher GRMs may indicate overpriced properties or premium locations.
Background Knowledge
GRM is one of several income approach methods used in real estate appraisal, alongside capitalization rates and discounted cash flow analysis. Unlike cap rates, GRM uses gross income rather than net operating income, making it simpler but less precise for detailed investment analysis.
Real-World Application
Appraisers use GRM to quickly screen comparable sales and identify properties that may need closer examination. For example, if most properties in an area have GRMs of 8-10, a property with a GRM of 15 might be overpriced or have unique characteristics affecting its value.
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
A property generates $120,000 in net operating income and is valued at $1,500,000. What is the capitalization rate?
A building has potential gross income of $180,000, vacancy and collection loss of 8%, and operating expenses of $54,000. What is the net operating income?
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