A property generates annual cash flow of $24,000 to equity. The initial equity investment was $200,000. What is the equity dividend rate?
Correct Answer
B) 12%
Equity dividend rate = Annual cash flow to equity ÷ Initial equity investment = $24,000 ÷ $200,000 = 0.12 or 12%.
Why This Is the Correct Answer
Option B (12%) is correct because it properly applies the equity dividend rate formula. The calculation divides the annual cash flow to equity ($24,000) by the initial equity investment ($200,000), which equals 0.12 or 12%. This straightforward division gives us the percentage return that the investor is earning on their cash investment annually. The formula is fundamental to income property analysis and investment decision-making.
Why the Other Options Are Wrong
Option A: 8.33%
Option A (8.33%) appears to result from incorrectly dividing the initial equity investment by the annual cash flow ($200,000 ÷ $24,000), which reverses the proper formula and gives a meaningless result.
Option C: 14%
Option C (14%) likely results from a calculation error, possibly adding an incorrect factor or using wrong numbers in the computation, as there's no mathematical path from the given data to reach 14%.
Option D: 6%
Option D (6%) appears to be half of the correct answer, suggesting a possible error where the annual cash flow was divided by twice the equity investment or some other computational mistake.
CAFE Method
CAFE: Cash flow Annual ÷ First Equity investment = Equity dividend rate. Think of earning your morning CAFE (coffee) money from your investment - you want to know what percentage return your initial cash is brewing up annually.
How to use: When you see equity dividend rate questions, immediately think CAFE and set up the division: annual cash flow on top, initial equity investment on bottom, then convert to percentage.
Exam Tip
Always double-check that you're dividing cash flow BY equity investment, not the reverse - the rate should be the return ON your investment, so cash flow goes in the numerator.
Common Mistakes to Avoid
- -Reversing the formula by dividing equity investment by cash flow
- -Using gross income instead of cash flow to equity
- -Forgetting to convert the decimal result to a percentage
Concept Deep Dive
Analysis
The equity dividend rate (also called cash-on-cash return) is a fundamental investment metric that measures the annual pre-tax cash flow return on the actual cash invested in a property. This rate helps investors evaluate the performance of their equity investment by comparing the annual cash flow generated to the initial equity invested. It's particularly useful for comparing different investment opportunities and assessing whether a property is generating adequate returns relative to the cash invested. The equity dividend rate is expressed as a percentage and represents the annual yield on the equity portion of the investment, excluding any appreciation or tax benefits.
Background Knowledge
The equity dividend rate is one of several capitalization rates used in income property analysis, alongside overall capitalization rates and debt coverage ratios. Understanding this concept requires knowledge of cash flow analysis, where annual cash flow to equity represents the net operating income minus debt service payments.
Real-World Application
Appraisers use equity dividend rates when valuing income properties using the equity residual technique or when analyzing comparable sales where financing terms are known, helping determine if similar properties are generating market-level returns for equity investors.
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?
People Also Study
Valuation Principles & Procedures
25% of exam
Property Description & Analysis
20% of exam
Market Analysis & Highest/Best Use
15% of exam
USPAP (Ethics & Standards)
15% of exam
Report Writing & Compliance
10% of exam