Appraisal Math & Statistics

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?

A building cost $2,500,000 to construct 8 years ago. Using straight-line depreciation over a 40-year life, what is the current depreciated value?

An office building has a gross rental income of $240,000, vacancy rate of 8%, and operating expenses of $75,000. What is the net operating income (NOI)?

A rectangular lot measures 150 feet by 200 feet. What is the area in square feet?

An irregular shaped lot has an area of 87,120 square feet. How many acres is this?

A triangular lot has a base of 120 feet and a height of 80 feet. What is the area in square feet?

A warehouse building measures 100 feet by 150 feet with a ceiling height of 20 feet. What is the total cubic volume?

A property sold for $450,000 and generates $3,750 in monthly gross rent. What is the gross rent multiplier (GRM)?

A rectangular lot measures 150 feet by 200 feet. What is the area in acres?

The following sale prices were recorded: $245,000, $250,000, $250,000, $255,000, $280,000. What is the mode?

Using the band of investment method, calculate the overall capitalization rate given: mortgage rate 5.5%, loan-to-value ratio 75%, and equity yield rate 12%.

In a paired sales analysis, two similar properties differ only in that one has a garage and sold for $285,000, while the other without a garage sold for $270,000. What is the indicated adjustment for a garage?

A building has an annual net operating income of $125,000 and was purchased for $1,562,500. What is the capitalization rate?

Using the band of investment method, calculate the overall capitalization rate given: mortgage component 75% at 6.5% rate, equity component 25% at 12% rate.

The following sale prices were recorded: $285,000, $295,000, $285,000, $305,000, $275,000. What is the median sale price?

A property has a replacement cost of $1,800,000. Physical deterioration is estimated at $200,000, functional obsolescence at $150,000, and external obsolescence at $100,000. What is the depreciated value using the breakdown method?

A building has an effective age of 15 years and a total economic life of 60 years. Using the age-life method, what is the depreciation percentage?

A property sold for $450,000 and generates monthly rental income of $3,750. What is the gross rent multiplier (GRM)?

Using the age-life method, what is the depreciation percentage for a building that is 15 years old with an economic life of 60 years?

What is the present value of $150,000 to be received in 5 years, assuming a discount rate of 8%?

A property has potential gross income of $180,000, vacancy and collection loss of 5%, and operating expenses of $54,000. What is the net operating income?

What statistical measure represents the middle value when data points are arranged in order from lowest to highest?

A comparable property sold for $425,000 but has a pool valued at $25,000 that the subject property lacks. The comparable also lacks central air conditioning valued at $8,000 that the subject has. What is the adjusted sale price?

A building has an effective age of 15 years and a total economic life of 50 years. Using the age-life method, what is the percentage of accrued depreciation?

A building cost $2,000,000 to construct 10 years ago. Using straight-line depreciation over a 40-year life, what is the current depreciated value?

In a paired sales analysis, Property A sold for $325,000 with a two-car garage, and Property B sold for $310,000 without a garage. All other features are similar. What is the indicated adjustment for a garage?

In the extraction method of estimating depreciation, if the land value is $200,000, the sale price is $750,000, and the replacement cost new is $800,000, what is the amount of depreciation?

A comparable property sold for $350,000 but has a swimming pool worth $15,000 that the subject property lacks. What is the adjusted sale price for comparison purposes?

A property is purchased for $800,000 with a $600,000 loan. What is the loan-to-value ratio?

A commercial property has an annual NOI of $85,000 and annual debt service of $65,000. What is the debt coverage ratio?

A triangular lot has a base of 100 feet and a height of 80 feet. What is the area in square feet?

A warehouse measures 200 feet by 150 feet with a ceiling height of 24 feet. What is the total volume?

An investor purchased a property for $900,000 with $270,000 cash down. The annual cash flow before taxes is $24,300. What is the equity dividend rate?

What is the gross rent multiplier (GRM) for a property that sold for $480,000 with monthly rental income of $3,200?

An irregular shaped lot has the following measurements: Side A = 100 feet, Side B = 150 feet, Side C = 120 feet, Side D = 180 feet. If the lot can be divided into two rectangles measuring 100' × 150' and 120' × 30', what is the total area?

A property generates annual cash flow of $24,000 to equity. The initial equity investment was $200,000. What is the equity dividend rate?

The sale prices of five comparable properties are: $245,000, $252,000, $248,000, $260,000, and $250,000. What is the median sale price?

An income stream of $50,000 per year for 10 years, with a discount rate of 8%, has what present value? (Use PV factor of 6.71)

A property has a loan of $800,000 and an appraised value of $1,000,000. What is the loan-to-value ratio?

A property is valued at $800,000 with a loan amount of $640,000. What is the loan-to-value ratio?

Using the band of investment method, if the mortgage component is 75% at 6% and the equity component is 25% at 12%, what is the overall capitalization rate?

A commercial property has annual gross income of $240,000 and sold for $2,000,000. What is the gross income multiplier (GIM)?

The range of sale prices for comparable properties is $45,000. If the lowest sale price is $235,000, what is the highest sale price?

A property generates $95,000 in potential gross income. With a 7% vacancy rate and $28,000 in operating expenses, what capitalization rate is indicated if the property is worth $550,000?

A property has annual debt service of $85,000 and net operating income of $110,000. What is the debt coverage ratio?

What is the capitalization rate for a property that sold for $1,500,000 with an annual NOI of $120,000?