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Math & StatsHARD15% of exam

An investor purchased a property for $800,000 with $200,000 cash down. The annual cash flow before taxes is $18,000. What is the equity dividend rate?

Correct Answer

B) 9.00%

Equity dividend rate is calculated as Annual Cash Flow ÷ Initial Cash Investment. $18,000 ÷ $200,000 = 0.09 or 9.00%.

Answer Options
A
2.25%
B
9.00%
C
25.00%
D
3.60%

Why This Is the Correct Answer

Option B is correct because the equity dividend rate formula is Annual Cash Flow ÷ Initial Cash Investment. The investor put down $200,000 in cash and receives $18,000 annually in cash flow before taxes. Calculating $18,000 ÷ $200,000 = 0.09 or 9.00%. This represents the annual return on the actual cash invested, which is the definition of equity dividend rate.

Why the Other Options Are Wrong

Option A: 2.25%

Option A incorrectly uses the total property value instead of the cash investment. This would be $18,000 ÷ $800,000 = 2.25%, which represents the overall capitalization rate, not the equity dividend rate.

Option C: 25.00%

Option C appears to reverse the calculation or use incorrect figures. There's no logical mathematical relationship between the given numbers that would yield 25%, suggesting a fundamental misunderstanding of the formula.

Option D: 3.60%

Option D likely results from using an incorrect denominator or making a calculation error. The 3.60% figure doesn't correspond to any standard real estate investment calculation using the given numbers.

EDDIE Formula

EDDIE = Equity Dividend rate = Dollars In Every year ÷ Equity invested. Remember 'EDDIE gets DOLLARS for his EQUITY' - Annual cash flow dollars divided by equity dollars invested.

How to use: When you see equity dividend rate questions, think 'EDDIE' and immediately identify the annual cash flow (dollars coming in) and divide by the cash down payment (equity invested), ignoring the total property value.

Exam Tip

Always identify what the investor actually paid in cash (down payment) versus the total property price - equity dividend rate only cares about the cash investment, not the financed portion.

Common Mistakes to Avoid

  • -Using total property value instead of cash investment in the denominator
  • -Confusing equity dividend rate with overall capitalization rate
  • -Including financing costs or principal payments in the cash flow calculation

Concept Deep Dive

Analysis

The equity dividend rate (also called cash-on-cash return) measures the annual return an investor receives on their actual cash investment in a property. This metric is crucial for real estate investment analysis as it shows the percentage return based solely on the cash invested, not the total property value. It helps investors compare the efficiency of their cash investment across different properties or investment opportunities. The calculation focuses on the relationship between annual cash flow and the initial equity investment, providing a clear picture of cash flow performance relative to out-of-pocket investment.

Background Knowledge

Equity dividend rate is a key metric in income property analysis that measures cash-on-cash return for leveraged real estate investments. Unlike overall return calculations, it specifically focuses on the return generated by the investor's actual cash contribution, making it essential for comparing investment efficiency across different properties with varying financing structures.

Real-World Application

Appraisers use equity dividend rates when preparing investment property appraisals to help clients understand cash flow returns. This metric is particularly valuable when comparing properties with different financing structures or when investors want to evaluate the efficiency of their cash deployment across multiple investment opportunities.

equity dividend ratecash-on-cash returnannual cash flowinitial cash investmentleveraged investment analysis

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