Real Estate Math: Commissions, Interest, and Property

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Questions and Answers

A real estate broker is due a payment for their services. What is this payment known as?

  • Commission (correct)
  • Interest
  • Point
  • Principal

What does 'point' mean in the context of real estate finance?

  • 1% of the loan amount (correct)
  • 0.1% of the loan amount
  • 10% of the loan amount
  • A fixed fee determined by the lender

In real estate, what is the primary use of percentages?

  • Calculating commissions, interest, appreciation, and depreciation (correct)
  • Assessing property value for insurance purposes
  • Calculating property taxes only
  • Determining zoning regulations

What three components are needed to calculate commission earned?

<p>Final sales price, commission rate, and amount of commission earned (B)</p> Signup and view all the answers

For a property valued at $200,000 with an annual appreciation rate of 5%, what is the property's value after one year?

<p>$210,000 (C)</p> Signup and view all the answers

A property is purchased for $300,000 and depreciates at a rate of 2% annually. Using the formula provided, what is its value after one year?

<p>$294,000 (C)</p> Signup and view all the answers

A borrower takes out a mortgage for $250,000 and is charged 2 points at closing. How much does the borrower pay in points?

<p>$5,000 (D)</p> Signup and view all the answers

How many square feet are contained in an acre of land?

<p>43,560 square feet (C)</p> Signup and view all the answers

In real estate, what does 'front foot' refer to?

<p>The length of the parcel facing a street (D)</p> Signup and view all the answers

How many square meters are there in a hectare?

<p>10,000 square meters (C)</p> Signup and view all the answers

What is the term for the total income from a property before any expenses are deducted?

<p>Gross Income (C)</p> Signup and view all the answers

Which of the following best describes 'net income'?

<p>Income after expenses (D)</p> Signup and view all the answers

What real estate calculation does the following formula apply to? commission earned = final sales price x commission rate

<p>Calculating commissions (D)</p> Signup and view all the answers

What is the 'principal' in the context of a loan or investment?

<p>The sum of money lent or invested (C)</p> Signup and view all the answers

Which of the following defines 'interest' in financial terms?

<p>A fee paid by the borrower for the use of money (A)</p> Signup and view all the answers

If a loan is for $300,000 and carries a 3% interest rate, what is the annual interest owed?

<p>$9,000 (D)</p> Signup and view all the answers

A commercial property generates $100,000 in gross income annually but has operating expenses totaling $35,000. What is the net income of the property?

<p>$65,000 (B)</p> Signup and view all the answers

What is the future value of a $150,000 property after 5 years, appreciating annually at 4%?

<p>$182,491 (A)</p> Signup and view all the answers

A piece of equipment valued at $50,000 depreciates at a rate of 10% each year. Using the formula provided, what is its value after 3 years?

<p>$36,450 (A)</p> Signup and view all the answers

A real estate agent sells a property for $450,000 with a commission rate of 2.5%. How much is the commission earned?

<p>$11,250 (D)</p> Signup and view all the answers

A property owner divides a 5-acre parcel into smaller lots. How many square feet is the entire parcel?

<p>217,800 square feet (C)</p> Signup and view all the answers

A developer purchases a lot with 200 feet of frontage at a price of $5,000 per front foot. What is the total purchase price of the lot?

<p>$1,000,000 (A)</p> Signup and view all the answers

An investor wants to buy a 2-hectare piece of land. How many square meters is the land?

<p>20,000 square meters (A)</p> Signup and view all the answers

A property is listed for $600,000 and sells for $570,000. If the commission rate is 3%, how much commission would the real estate agent make?

<p>$17,100 (A)</p> Signup and view all the answers

What is the annual interest owed on a loan with a principal balance of $400,000 and an annual interest rate of 4.5%?

<p>$18,000 (B)</p> Signup and view all the answers

A property is valued at $350,000, and it increases by 6% each year. What is the value of the property after one year?

<p>$371,000 (B)</p> Signup and view all the answers

A piece of equipment valued at $60,000 depreciates at a rate of 8% each year. What is its value after 2 years?

<p>$51,059.20 (A)</p> Signup and view all the answers

A borrower takes out a mortgage for $200,000 and the lender charges 2 points at closing. How much does the borrower pay in points?

<p>$4,000 (D)</p> Signup and view all the answers

A real estate agent sells a property for $800,000 with a commision rate of 3%. How much is the commission earned?

<p>$24,000 (A)</p> Signup and view all the answers

What is the future value of a $200,000 property after 10 years, appreciating annually at 5%? FV = future value PV = present value a = appreciation rate n = number of years FV = PV x (1+a)^n

<p>$325,778 (B)</p> Signup and view all the answers

What is the net income from a property that accumulates $200,000 annually, and has $40,000 in expenses?

<p>$160,000 (C)</p> Signup and view all the answers

A building valued at $1,000,000 has an annual depreciation of 3%. What is the value of the building after 5 years?

<p>$858,587 (D)</p> Signup and view all the answers

A property valued at $300,000 increases in value by 4% annually. What is its value after 3 years?

<p>$336,472 (A)</p> Signup and view all the answers

A loan has a principal balance of $150,000 with an annual interest rate of 5%. What is the annual interest owed?

<p>$7,500 (D)</p> Signup and view all the answers

How many acres are there in a parcel of land measuring 87,120 square feet?

<p>2 acres (B)</p> Signup and view all the answers

What is the commission earned on a property that sells for $750,000 with a commission rate of 2.5%?

<p>$18,750 (C)</p> Signup and view all the answers

A piece of machinery is valued at $25,000 and depreciates at 10% yearly. What is the value after 3 years rounded to the nearest dollar?

<p>$18,275 (C)</p> Signup and view all the answers

A real estate agent sells a property for $900,000 with a commission rate of 3%. How much commission is earned by the agent?

<p>$27,000 (A)</p> Signup and view all the answers

What is the future value of a property initially valued at $400,000 after 5 years, with an annual appreciation rate of 4% ?

<p>$486,583 (A)</p> Signup and view all the answers

Flashcards

Commission

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

Point

Equal to one percent of a loan amount.

Calculating Commissions

The formula is: Final Sales Price x Commission Rate.

Calculating Interest

Amount owed on a loan = Principal Balance x Annual Interest Rate

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Appreciation Formula

Property Value X % Increase Each Year

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Depreciation Formula

Property Value X % Decrease Each Year

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Acre

A measure of land equaling 43,560 square feet.

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Front Foot

Length of a parcel facing a street.

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Hectare

Equal to 10,000 square meters.

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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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Interest

A fee paid by the borrower of a loan as compensation for the use of money.

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Study Notes

  • Commission is a sum due to a real estate broker for services.
  • A point is equal to 1% of a loan amount; for example, 1 point on a $100,000 loan is $1,000.

Calculating Commissions

  • Percentages are used in calculating commissions.
  • Calculations include the amount of commission earned, commission rate, and final sale price.
  • Commission earned = final sales price X commission rate

Calculating Interest

  • Used to determine how much money is owed on a loan.
  • Interest rate is the cost of borrowing money.
  • Amount owed on loan = principal balance x annual interest rate

Appreciation

  • Property value appreciates by a percentage each year.
  • Property value X % increase each year (expressed as a decimal with a 1 in front, like 1.03) = new property value
  • FV = future value, PV = present value, a = appreciation rate, n = number of years
  • FV = PV x (1+a)^n

Depreciation

  • Property value depreciates by a percentage each year.
  • Property value X % decrease each year (take % into a decimal and subtract it by 1 for example 1 -.05 =.95 which you would use as your number = property value
  • FV = future value, PV = present value, d = depreciation rate, n = number of years
  • FV = PV x (-d)^n

Points

  • 1 point = 1%

Measurements

  • An acre equals 43,560 square feet.
  • Front foot refers to the length of a parcel facing a street.
  • A hectare is equal to 10,000 square meters.

Income

  • Gross income is the total income from property before any expenses are deducted.
  • Net income is the result of subtracting expenses from income.

Principal and Interest

  • Principal is a sum of money lent or invested on which interest is paid.
  • Interest is a fee paid by the borrower of a loan as compensation for the use of money.

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