All questions
Question 1
A duplex was purchased for $220,000 with $44,000 cash down. Annual net income is $19,800. What is the return on equity?
- 45.0% (correct answer)
- 35.2%
- 52.8%
- 41.6%
Explanation: Return on equity = Annual Net Income ÷ Cash Investment = $19,800 ÷ $44,000 = 0.45 = 45.0%. Choice B uses total property value incorrectly. Choice C includes loan principal payments. Choice D applies incorrect tax shield calculations.
Question 2
A property was purchased for $275,000 and is now worth $247,500. The annual rental income is $22,000. What is the current yield based on original investment?
- 8.0% current yield on original investment (correct answer)
- 8.9% current yield on original investment
- 6.5% current yield on original investment
- 7.3% current yield on original investment
Explanation: Current yield based on original investment = Annual Income ÷ Original Purchase Price = $22,000 ÷ $275,000 = 0.08 = 8.0%. Current market value is not used in this calculation.
Question 3
A property portfolio worth $1,500,000 generates $120,000 in annual net income and appreciates 2.5% per year. What is the total annual return rate?
- 10.5% total annual return rate (correct answer)
- 8.0% total annual return rate
- 12.3% total annual return rate
- 9.2% total annual return rate
Explanation: Income return = $120,000 ÷ $1,500,000 = 8.0%. Total return = Income return + Appreciation = 8.0% + 2.5% = 10.5%. Choice B shows only income return. Choice C compounds returns incorrectly. Choice D uses wrong portfolio valuation.
Question 4
An office building purchased for $1,200,000 sold for $1,080,000 after generating $360,000 in total net income over four years. What was the total investment return?
- 20.0% (correct answer)
- 15.8%
- 12.3%
- 18.5%
Explanation: Total return = (Total Income + Capital Gain/Loss) ÷ Initial Investment = (360,000+(−120,000)) ÷ $1,200,000 = $240,000 ÷ $1,200,000 = 20.0%. Choice B excludes capital loss. Choice C uses wrong income calculation. Choice D includes transaction costs incorrectly. Question 5
An investment property generates $28,000 annual NOI on a $350,000 purchase price. After three years, comparable properties indicate a 15% total appreciation. What is the average annual total return?
- 13.0% average annual total return (correct answer)
- 15.5% average annual total return calculation
- 11.2% average annual total return calculation
- 17.8% average annual total return calculation
Explanation: Annual income return = $28,000 ÷ $350,000 = 8.0%. Annual appreciation = 15% ÷ 3 years = 5.0%. Total annual return = 8.0% + 5.0% = 13.0%. Choice B incorrectly adds appreciation to income return. Choice C excludes appreciation component. Choice D uses total appreciation without annualizing.
Question 6
A commercial building was purchased for $650,000 with 25% down. After two years, it's worth $702,000 and generated $78,000 in net income. What is the return on equity?
- 80.0% total return on equity investment (correct answer)
- 65.2% total return on equity investment
- 72.8% total return on equity investment
- 58.4% total return on equity investment
Explanation: Down payment = $650,000 × 25% = $162,500. Total return = Income + Appreciation = $78,000 + $52,000 = $130,000. Return on equity = $130,000 ÷ $162,500 = 80.0%. Choice B uses total property value. Choice C excludes appreciation component. Choice D applies loan principal reduction incorrectly.
Question 7
A retail property was bought for $420,000 and sold for $462,000 after 18 months. What is the annualized capital appreciation rate?
- 6.67% annualized capital appreciation rate (correct answer)
- 10.0% annualized capital appreciation rate
- 8.33% annualized capital appreciation rate
- 5.55% annualized capital appreciation rate
Explanation: Total appreciation = ($462,000 - $420,000) ÷ $420,000 = 10%. Time = 18 months = 1.5 years. Annualized rate = 10% ÷ 1.5 = 6.67%. Choice B shows total appreciation. Choice C uses wrong time period. Choice D applies incorrect mathematical conversion.
Question 8
A rental property generates $48,000 annual net income. The investor's initial cash investment was $120,000, with a $280,000 loan. What is the cash-on-cash return?
- 28.6%
- 40.0% (correct answer)
- 35.2%
- 32.8%
Explanation: Cash-on-cash return = Annual Net Income ÷ Initial Cash Investment = $48,000 ÷ $120,000 = 0.40 = 40.0%. Choice A incorrectly includes loan amount in denominator. Choice C uses gross income instead of net. Choice D applies an incorrect tax adjustment factor.
Question 9
An investor purchased a property for $380,000, spent $45,000 on renovations, and received $32,000 annual net income for three years before selling for $495,000. What was the total return on investment?
- 38.8% total return on investment (correct answer)
- 42.1% total return on investment
- 35.3% total return on investment
- 40.7% total return on investment
Explanation: Total investment = $380,000 + $45,000 = $425,000. Total income = $32,000 × 3 = $96,000. Capital gain = $495,000 - $425,000 = 70,000.Totalreturn=(96,000 + $70,000) ÷ $425,000 = 38.8%. Choice B excludes renovation costs. Choice C uses wrong income calculation. Choice D includes transaction costs incorrectly. Question 10
A retail property generates $75,000 annual NOI. If an investor requires a 9% return and the property appreciates 3% annually, what is the total expected annual return percentage?
- 12.0% (correct answer)
- 15.3%
- 9.8%
- 10.7%
Explanation: Total expected return = Income Return + Appreciation = 9% + 3% = 12.0%. Choice B compounds the returns incorrectly. Choice C uses only income return component. Choice D applies incorrect risk adjustment factors.
Question 11
A strip mall generates $95,000 annual NOI on an original investment of $1,180,000. Current market value is $1,298,000. What is the current yield on original investment?
- 8.05% current yield on original investment (correct answer)
- 7.32% current yield on original investment
- 9.18% current yield on original investment
- 6.85% current yield on original investment
Explanation: Current yield on original investment = Annual NOI ÷ Original Investment = $95,000 ÷ $1,180,000 = 0.0805 = 8.05%. Choice B incorrectly uses current market value. Choice C incorrectly includes appreciation component. Choice D applies depreciation adjustment incorrectly.
Question 12
A mixed-use property was purchased for $680,000 and generated $204,000 in net income over three years before selling for $714,000. What was the total return on investment?
- 35.0% total return on investment (correct answer)
- 40.2% total return on investment
- 30.8% total return on investment
- 32.6% total return on investment
Explanation: Total income = $204,000. Capital gain = $714,000 - $680,000 = 34,000.Totalreturn=(204,000 + $34,000) ÷ $680,000 = $238,000 ÷ $680,000 = 35.0%. Choice B uses wrong capital gain calculation. Choice C excludes appreciation component. Choice D includes transaction costs incorrectly. Question 13
A property was purchased for $250,000 three years ago and is now worth $285,000. What is the total appreciation percentage?
- 14.0% (correct answer)
- 12.3%
- 16.8%
- 11.7%
Explanation: Total appreciation = (Current Value - Original Cost) ÷ Original Cost = ($285,000 - $250,000) ÷ $250,000 = $35,000 ÷ $250,000 = 0.14 = 14.0%. Choice B uses the wrong denominator. Choice C includes rental income incorrectly. Choice D miscalculates the appreciation amount.
Question 14
A rental property's value increased from $185,000 to $203,500 over 30 months. What is the annualized appreciation rate?
- 4.0% annualized appreciation rate per year (correct answer)
- 10.0% annualized appreciation rate per year
- 6.8% annualized appreciation rate per year
- 3.2% annualized appreciation rate per year
Explanation: Total appreciation = ($203,500 - $185,000) ÷ $185,000 = 10%. Time period = 30 months ÷ 12 = 2.5 years. Annualized rate = 10% ÷ 2.5 = 4.0%. Choice B shows total appreciation. Choice C uses incorrect time conversion. Choice D applies wrong mathematical formula.
Question 15
An apartment building's value declined from $925,000 to $833,250 over 30 months. What was the annualized depreciation rate?
- 4.0% annualized depreciation rate (correct answer)
- 9.9% annualized depreciation rate
- 6.2% annualized depreciation rate
- 3.3% annualized depreciation rate
Explanation: Total depreciation = ($925,000 - $833,250) ÷ $925,000 = 9.9%. Time = 30 months ÷ 12 = 2.5 years. Annualized rate = 9.9% ÷ 2.5 = 4.0%. Choice B shows total depreciation without annualizing. Choice C uses incorrect time conversion. Choice D applies wrong mathematical formula.
Question 16
An investment property purchased for $180,000 now has a market value of $195,000 after 18 months. What is the annualized appreciation rate?
- 5.56% (correct answer)
- 8.33%
- 6.25%
- 4.17%
Explanation: First calculate total appreciation: ($195,000 - $180,000) ÷ $180,000 = 8.33%. Then annualize: 8.33% ÷ 1.5 years = 5.56% per year. Choice B shows total appreciation, not annualized. Choice C uses incorrect time period. Choice D applies wrong mathematical conversion.
Question 17
A warehouse purchased for $580,000 with $145,000 cash down produces $52,000 annual net income and appreciates $23,000 per year. What is the annual return on equity?
- 51.7% annual return on equity (correct answer)
- 43.2% annual return on equity
- 38.5% annual return on equity
- 47.9% annual return on equity
Explanation: Annual return on equity = (Annual Income + Annual Appreciation) ÷ Cash Investment = ($52,000 + $23,000) ÷ $145,000 = $75,000 ÷ $145,000 = 51.7%. Choice B excludes appreciation component. Choice C uses total property value instead of equity. Choice D incorrectly includes debt service.
Question 18
A property's value decreased from $320,000 to $288,000 over two years. What is the annualized depreciation rate?
- 5.0% (correct answer)
- 10.0%
- 3.2%
- 6.8%
Explanation: Total depreciation = ($320,000 - $288,000) ÷ $320,000 = 10%. Annualized rate = 10% ÷ 2 years = 5.0% per year. Choice B shows total depreciation, not annualized. Choice C uses wrong base amount. Choice D includes market adjustment factors incorrectly.
Question 19
A duplex investment required $60,000 cash down on a $240,000 purchase. Annual cash flow after debt service is $8,400. What is the cash-on-cash return?
- 14.0% cash-on-cash return on equity (correct answer)
- 18.2% cash-on-cash return on equity
- 12.5% cash-on-cash return on equity
- 16.8% cash-on-cash return on equity
Explanation: Cash-on-cash return = Annual Cash Flow ÷ Initial Cash Investment = $8,400 ÷ $60,000 = 0.14 = 14.0%. Choice B uses pre-debt service income. Choice C uses total purchase price incorrectly. Choice D includes principal pay-down benefits incorrectly.
Question 20
An investor bought a property for $150,000, invested $25,000 in improvements, and sold it for $210,000. What is the return on total investment?
- 20.0% return on total invested capital (correct answer)
- 23.3% return on total invested capital
- 16.7% return on total invested capital
- 40.0% return on total invested capital
Explanation: Total investment = $150,000 + $25,000 = 175,000.Return=(210,000 - $175,000) ÷ $175,000 = $35,000 ÷ $175,000 = 0.20 = 20.0%.