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Math & StatsMEDIUM15% of exam

An investment property is purchased for $800,000 with a down payment of $240,000. If the annual cash flow before taxes is $18,000, what is the equity dividend rate?

Correct Answer

B) 7.5%

Equity dividend rate = Annual cash flow before taxes ÷ Initial equity investment = $18,000 ÷ $240,000 = 0.075 or 7.5%.

Answer Options
A
2.25%
B
7.5%
C
3.21%
D
30%

Why This Is the Correct Answer

Option B is correct because the equity dividend rate formula requires dividing the annual cash flow before taxes by the initial equity investment (down payment). The calculation is $18,000 ÷ $240,000 = 0.075 = 7.5%. This represents the percentage return the investor receives on their actual cash investment of $240,000. The equity dividend rate specifically measures the return on equity, not on the total property value, making this the accurate calculation.

Why the Other Options Are Wrong

Option A: 2.25%

Option A incorrectly uses the total property value ($800,000) instead of the equity investment ($240,000) in the denominator, calculating $18,000 ÷ $800,000 = 2.25%, which would be the overall capitalization rate concept rather than equity dividend rate.

Option C: 3.21%

Option C appears to be a calculation error or confusion with another financial metric, as 3.21% doesn't result from any logical combination of the given numbers using standard real estate investment formulas.

Option D: 30%

Option D of 30% is mathematically impossible given the provided numbers and likely represents a fundamental misunderstanding of the equity dividend rate calculation or confusion with other investment ratios.

EDDIE Formula

EDDIE = Equity Dividend = Dollars In Equity. Remember: 'EDDIE gets CASH from his EQUITY' - Annual Cash Flow ÷ Equity Investment = Equity Dividend Rate

How to use: When you see equity dividend rate questions, think 'EDDIE needs CASH from EQUITY' and immediately identify the annual cash flow (numerator) and the down payment/equity investment (denominator), never the total property value.

Exam Tip

Always identify what the investor actually paid in cash (down payment) as your denominator - ignore the total property value and loan amount for equity dividend rate calculations.

Common Mistakes to Avoid

  • -Using total property value instead of equity investment in the denominator
  • -Confusing equity dividend rate with overall capitalization rate
  • -Including loan payments or using after-tax cash flow instead of before-tax cash flow

Concept Deep Dive

Analysis

The equity dividend rate (also called cash-on-cash return) measures the annual pre-tax cash flow return on the actual cash invested by the investor. This metric is crucial for real estate investors as it shows the immediate return on their equity investment, excluding financing effects and tax considerations. Unlike other return metrics that may use the total property value, the equity dividend rate specifically focuses on the relationship between cash flow and the investor's actual cash outlay. It provides a clear picture of how efficiently the investor's equity is generating income in the first year of ownership.

Background Knowledge

The equity dividend rate is a first-year return metric that measures cash flow performance relative to the investor's initial equity investment. It's particularly useful for comparing leveraged real estate investments and understanding the immediate cash return on invested capital before considering tax benefits or appreciation.

Real-World Application

Appraisers use equity dividend rates when valuing income properties for investors who want to understand cash-on-cash returns, helping determine if a property meets investment criteria or when comparing multiple investment opportunities with different financing structures.

equity dividend ratecash-on-cash returnannual cash flowinitial equity investmentdown payment

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