- 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?
Answer: 13.0% average annual total return
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.
- 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?
Answer: 10.5% total annual return rate
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.
- A rental property's value increased from $185,000 to $203,500 over 30 months. What is the annualized appreciation rate?
Answer: 4.0% annualized appreciation rate per year
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.
- 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?
Answer: 80.0% total return on equity investment
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.
- 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?
Answer: 40.0%
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.
- An investor bought a commercial property for $500,000 and sold it for $425,000 after five years. What is the total depreciation percentage?
Answer: 15.0%
Total depreciation = (Original Cost - Sale Price) ÷ Original Cost = ($500,000 - $425,000) ÷ $500,000 = $75,000 ÷ $500,000 = 0.15 = 15.0%. Choice B uses sale price as denominator. Choice C miscalculates the loss amount. Choice D includes transaction costs incorrectly.
- 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?
Answer: 51.7% annual return on equity
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.
- A property's value decreased from $320,000 to $288,000 over two years. What is the annualized depreciation rate?
Answer: 5.0%
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.
- A duplex was purchased for $220,000 with $44,000 cash down. Annual net income is $19,800. What is the return on equity?
Answer: 45.0%
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.
- An investor purchased a rental property for $300,000 and received $36,000 in annual net income. What is the return on investment (ROI)?
Answer: 12.0%
ROI is calculated as annual net income divided by initial investment: $36,000 ÷ $300,000 = 0.12 = 12.0%. Choice A (8.3%) incorrectly reverses the calculation. Choice C (15.5%) uses gross income instead of net. Choice D (10.2%) applies an incorrect depreciation factor.
- 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?
Answer: 14.0% cash-on-cash return on equity
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.
- An apartment building's value declined from $925,000 to $833,250 over 30 months. What was the annualized depreciation rate?
Answer: 4.0% annualized depreciation rate
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.
- 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?
Answer: 38.8% total return on investment
Total investment = $380,000 + $45,000 = $425,000. Total income = $32,000 × 3 = $96,000. Capital gain = $495,000 - $425,000 = $70,000. Total return = ($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.
- 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?
Answer: 35.0% total return on investment
Total income = $204,000. Capital gain = $714,000 - $680,000 = $34,000. Total return = ($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.
- A retail property was bought for $420,000 and sold for $462,000 after 18 months. What is the annualized capital appreciation rate?
Answer: 6.67% annualized capital appreciation rate
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.
- 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?
Answer: 20.0% return on total invested capital
Total investment = $150,000 + $25,000 = $175,000. Return = ($210,000 - $175,000) ÷ $175,000 = $35,000 ÷ $175,000 = 0.20 = 20.0%.
- 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?
Answer: 8.05% current yield on original investment
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.
- An office building purchased for $750,000 lost 12% of its value over four years while producing $240,000 in total net income. What was the annualized total return?
Answer: 5.0% annualized total return per year
Capital loss = $750,000 × 12% = $90,000. Net return = $240,000 - $90,000 = $150,000. Total return = $150,000 ÷ $750,000 = 20%. Annualized = 20% ÷ 4 years = 5.0%.
- 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?
Answer: 12.0%
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.
- An investor's property portfolio was worth $800,000 at the beginning of the year and $856,000 at year-end, generating $64,000 in net rental income. What is the total return on investment?
Answer: 15.0%
Total return = (Income + Appreciation) ÷ Initial Value = ($64,000 + $56,000) ÷ $800,000 = $120,000 ÷ $800,000 = 15.0%. Choice B excludes appreciation component. Choice C uses ending value as denominator. Choice D miscalculates the appreciation amount.
