Real Estate: Commissions, Interest, and Percentages
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Questions and Answers

A property is sold for $250,000, and the real estate broker's commission rate is 6%. What is the commission earned by the broker?

  • $15,000
  • $1,500 (correct)
  • $150,000
  • $235,000

A borrower obtains a mortgage loan with a principal balance of $150,000 and an annual interest rate of 4.5%. What is the amount owed on the loan after one year, disregarding any principal payments?

  • $675
  • $143,250 (correct)
  • $156,750
  • $6,750

A property is purchased for $300,000 and appreciates at a rate of 3% per year. What is the approximate future value of the property after 5 years?

  • $309,000 (correct)
  • $315,000
  • $347,782
  • $350,000

A property is valued at $200,000 and depreciates at a rate of 2% per year. What is the approximate future value of the property after 3 years?

<p>$117,649.28 (C)</p> Signup and view all the answers

A buyer obtains a loan of $250,000 and pays 2 points at closing. How much does the buyer pay in points?

<p>$250 (D)</p> Signup and view all the answers

A rectangular lot measures 150 feet in length and 100 feet in width. What is the area of the lot?

<p>250 square feet (C)</p> Signup and view all the answers

A square lot has sides that are each 209 feet long. How close is the area of the lot to 1 acre?

<p>About one and a half acres (B)</p> Signup and view all the answers

A triangular-shaped lot has a base of 80 feet and a height of 60 feet. What is the approximate area of this lot?

<p>4,800 square feet (B)</p> Signup and view all the answers

A property has an assessed value of $350,000 and the tax rate is 1.2% of the assessed value. What are the annual taxes for this property?

<p>$42,000 (B)</p> Signup and view all the answers

What is the area of a lot that measures 2 hectares?

<p>49,400 acres (D)</p> Signup and view all the answers

Flashcards

Commission

A sum due to a real estate broker for their services.

Point (in finance)

Equal to one percent of a loan amount.

Commission Earned Formula

Final Sales Price multiplied by the Commission Rate.

Amount Owed on a Loan Formula

Principal Balance multiplied by the Annual Interest Rate.

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Appreciation Formula

Property Value multiplied by the percentage increase each year.

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Depreciation Formula

Property Value multiplied by the percentage decrease each year.

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Acre

A measure of land equaling 43,560 square feet.

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Gross Income

Total income from property before any expenses are deducted.

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Net Income

The result of subtracting expenses from income.

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Principal

A sum of money lent or invested on which interest is paid.

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Study Notes

  • A commission is the sum due to a real estate broker for services rendered.
  • A point is equal to 1% of a loan amount; for instance, 1 point on a $100,000 loan equals $1,000.

Percentages

  • Percentages are used in calculating commissions, interest, appreciation, and depreciation.

Calculating Commissions

  • Commission earned = final sales price × commission rate.

Calculating Interest

  • The interest rate is the cost of borrowing money.
  • Amount owed on loan = principal balance × annual interest rate.

Calculating Appreciation

  • Property value = property value × % increase each year (expressed as 1 + decimal equivalent of the percentage).
  • FV = PV × (1 + a)^n, where FV = future value, PV = present value, a = appreciation rate, and n = number of years.

Calculating Depreciation

  • Property value = property value × % decrease each year (expressed as 1 - decimal equivalent of the percentage).
  • FV = PV × (1 - d)^n, where FV = future value, PV = present value, d = depreciation rate, and n = number of years.

Points

  • 1 point is equivalent to 1% of the loan amount.

Measurements

  • Acre: A unit of land measurement equaling 43,560 square feet.
  • Front Foot: The length of a parcel that faces a street.
  • Hectare: A metric unit equal to 10,000 square meters.

Income

  • Gross Income: The total income from a property before any expenses are deducted.
  • Net Income: The income remaining after subtracting expenses from the gross income.

Principal and Interest

  • Principal: The amount of money lent or invested on which interest is paid.
  • Interest: A fee paid by a borrower for the use of money.

Useful Formulas & Numbers

Closing Cost Calculation

  • Closing Costs = Loan Amount × points %

Area of an Irregular Lot

  • Step 1: Break the shape down into squares, rectangles, and triangles.
  • Step 2: Calculate the area of each shape.
  • Step 3: Sum the areas of each shape to find the total area.

Perimeter of a Lot or Shape

  • Add up the lengths of all sides.

Annual Taxes Calculation

  • Annual Taxes = Assessed Value × Tax Rate

Calculating Area of Lot

  • Area of Lot = Length x Width

Key Conversions

  • 1 acre = 43,560 square feet
  • 1 square mile = 640 acres
  • 1 hectare = 10,000 square meters = 2.47 acres

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Description

Learn about calculating real estate commissions based on sales price and commission rate. Understand interest calculations, appreciation, and depreciation using percentage changes in property value over time. Formulas for future value are included.

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