Real Estate Math Chapter 17

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Questions and Answers

What is the area of the rectangle with dimensions 150 feet by 200 feet?

  • 25,000 square feet
  • 40,000 square feet
  • 30,000 square feet (correct)
  • 35,000 square feet

How many square feet remain for parking after 10% of the lot is condemned and 30% is occupied by a convenience store?

  • 24,000 square feet
  • 20,000 square feet
  • 22,000 square feet
  • 18,000 square feet (correct)

If the property sells for $330,000 and the commission is 6%, what is the total commission amount?

  • $21,000
  • $20,200
  • $19,800
  • $18,600 (correct)

What percentage of the property was used for the convenience store if it occupies 30% of the total lot?

<p>30% (B)</p> Signup and view all the answers

How much does the monthly payment of $704.41 reduce the loan balance after the first payment?

<p>$64.41 (C)</p> Signup and view all the answers

What is the monthly interest amount for a loan balance of $96,000 at an 8% interest rate?

<p>$640.00 (C)</p> Signup and view all the answers

What is the new loan balance after the first payment of $704.41 is made?

<p>$95,935.59 (C)</p> Signup and view all the answers

If the steps are repeated for a second payment, what would be the monthly principal deduction?

<p>$64.84 (B)</p> Signup and view all the answers

If the Culebras sell their property for 12% more than the purchase price of $536,800, what is the selling price?

<p>$610,000 (C)</p> Signup and view all the answers

What is the correct formula to calculate the annual interest from a loan balance?

<p>Loan Balance × Interest Rate = Annual Interest (B)</p> Signup and view all the answers

To find the required appreciation amount, what calculation should be performed after determining the selling price?

<p>Selling price minus purchase price (D)</p> Signup and view all the answers

How is the percentage received calculated when there is a loss?

<p>100% - Percentage Lost (B)</p> Signup and view all the answers

In a loss calculation, if a house sells for $220,000 representing a 30% loss, what value should be used for the percentage in the formula?

<p>70% (D)</p> Signup and view all the answers

What is the correct formula to find the percentage when you have values for 'Now' and 'Then'?

<p>Now ÷ Then = Percentage (A)</p> Signup and view all the answers

If Smith wants to make a 25% profit on a home originally bought for $210,000, what should the desired net be after deducting costs?

<p>$262,500 (A)</p> Signup and view all the answers

Flashcards

Area of a Rectangle

The area of a rectangle is calculated by multiplying its length and width: Area = Length × Width (A = L × W).

Area of a Triangle

The area of a triangle is calculated by multiplying its base, height, and one-half: Area = ½ × Base × Height (A = ½ × B × H).

Percentage Calculation

The percentage of a whole can be calculated by multiplying the percentage value (expressed as a decimal) by the whole number: Part = Percentage × Whole (P = % × W).

Commission

A commission is a fee paid to an agent (e.g., a realtor) for services rendered, often calculated as a percentage of the sale price.

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Annual Interest Rate

The annual interest rate is the percentage charged on a loan over the course of a year, expressed as a decimal. It's a crucial factor in determining monthly payments.

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Isolating the Unknown

The process of isolating a specific variable or unknown value in an equation or problem. This involves manipulating known values to express the unknown variable alone on one side of the equation.

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Four-Step Problem Solving

A method used to solve math problems involving multiple steps. It involves writing down the formula, substituting known values, and then performing calculations to arrive at the solution.

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Converting Fractions to Decimals

A way to represent fractions as decimal numbers. Converting fractions to decimals allows for easier calculations on calculators.

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Percentage Value as a Decimal

The percentage of a whole value, expressed as a decimal. It is used in various calculations, such as calculating appreciation or commission.

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Appreciation

The increase in the value of an asset over time. It is often expressed as a percentage of the original purchase price.

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Principal Payment

The portion of the monthly loan payment that directly reduces the outstanding loan balance.

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Monthly Interest

The amount of interest charged on a loan for a specific period, typically a month.

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Monthly P&I

The combined payment of principal and interest that borrowers make each month on a loan.

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Amortization

The process of gradually paying off a loan over time through regular payments that include both principal and interest.

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Loan Balance

The initial amount borrowed in a loan.

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Then × Percentage = Now

This formula helps to calculate the value of a property at a later point in time (Now) based on its value at an earlier point (Then) and the percentage change.

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Now ÷ Percentage = Then

This formula is used to calculate the original value of a property (Then) if you know the current value (Now) and the percentage of loss.

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Now ÷ Then = Percentage

This formula is used to calculate the percentage of loss when you know the original value (Then) and the current value (Now).

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100% - Percentage Lost = Percentage Received

This formula is used to find the percentage of the original value that remains after a loss. The result is the 'Percentage Received' used in other formulas.

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Percentage Received

In real estate math problems with loss, you need to use the "Percentage Received" (the amount of the original value remaining) in the formula, not the percentage of loss.

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Property Tax Calculation

The total annual property tax paid on a property is determined by multiplying the number of $100 increments in the assessed valuation by the tax rate per $100.

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Seller's Net

The 'seller's net' is the amount of money the seller wants to receive after paying all expenses, including commission and settlement costs.

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Seller's Net Problem

A seller's net problem involves calculating the selling price required to achieve a desired net profit after accounting for commissions and other costs.

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Calculating Seller's Net

Before calculating the selling price, determine the seller's desired net profit by adding any desired profit to the original purchase price. Then add any other costs to get the total amount needed.

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Adjusting for Commission

If one wants to receive a certain amount of money after commission, the selling price needs to be adjusted to account for the agent's commission. Subtract the commission rate from 100% to find the percentage of what the seller actually needs to sell the property for.

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Study Notes

Learning Objectives

  • Students should be able to list the four steps involved in solving math problems
  • Convert fractions to percentages and percentages to fractions
  • Differentiate between area, volume, and percentage problems
  • Identify correct formulas for various math problems (area, volume, percentage, capitalization rate, tax assessment, seller's net, proration)
  • Describe how to calculate the seller's net
  • Explain how to prorate various expenses (rent, mortgage interest, property taxes, insurance premiums)

Suggested Lesson Plan

  • Students review the previous chapter ("California Real Estate License Law") using Exercise 17.1
  • Overview of Chapter 17 ("Real Estate Math") and review of learning objectives

Solving Math Problems

  • Four-step approach
    • Read the question
    • Write down the formula
    • Substitute relevant numbers
    • Calculate the answer
  • Convert fractions or percentages to decimals

Area Problems

  • Area = Length × Width
  • Squares and rectangles use this formula
  • Triangles use the formula Area = ½ Base × Height
  • Odd shapes are divided into simpler shapes, and their areas are added

Volume Problems

  • Volume = Length x Width x Height

Percentage Problems

  • Part = Whole × Percentage
  • Whole = Part ÷ Percentage
  • Percentage = Part ÷ Whole
  • In commission problems, the part is the commission, the whole is the sales price, and the percentage is the commission rate
  • In loan problems, the part is the annual interest, the whole is the loan amount, and the percentage is the annual interest rate
  • Profit/loss problems: Now = Then × Percentage (where percentage = original + profit OR original - loss)
  • Capitalization problems: Income = Value × Capitalization Rate

Tax Assessment Problems

  • Tax = Assessed Value × Tax Rate
  • Tax rate can be expressed as a percentage, a dollar amount per hundred, or per thousand, or in mills

Seller's Net Problems

  • Calculate the net proceeds + the costs (excluding commission)
  • Subtract the commission rate from 100%
  • Divide the result from the first step by the result from the second step to get the selling price.

Proration Problems

  • Calculate the daily rate of the expense
  • Determine how many days a party is responsible for
  • Multiply the daily rate by the number of days

Exercises 17.1, 17.2, 17.3, 17.4, 17.5, 17.6

  • Review exercises covering the material discussed within the respective sections

Chapter 17 Quiz

  • Review of the entire chapter content

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