Chapter 14 (Computations and Title Closing) Flashcards
Parts of a Fraction
When dealing with fractions, the number below the line is called the denominator.
The denominator always indicates the total equal parts in a whole unit. In the example of the city block above, each part was ½.
The lower number indicates the total number of equal parts (two) in the entire city block.
If the fraction ¼ had been used, the denominator would have indicated that the city block was divided into four equal parts.
The number in a fraction that appears above the line dividing the numbers is called the numerator.
The numerator indicates how many of the equal parts of the whole unit are being counted.
For example, in the fraction ¾, the top number indicates three equal parts are being counted, and the bottom number shows a total of four equal parts, so you are talking about all but one equal part of something (all but ¼).
Changing Fractions to Decimals
The line separating the numerator from the denominator means division (the top number is divided by the bottom number).
If you are dividing a fraction using a calculator, enter the numerator first, and then the division key, followed by the denominator.
For example, in the fraction ½: press 1, followed by the division key, and then press 2.
Press the equal sign key (=) and the answer displayed is 0.5.
You have now converted (changed) a fraction (½) into a decimal number (.5).
Changing Decimals to Percentages
To change a decimal number to a percentage, move the decimal point two places to the right and add the percent sign (%). (This is the same as multiplying the decimal number by 100.)
If only one decimal number is involved, add a zero to the right of the number.
Changing Percentages to Decimals
To change any percentage to an equivalent decimal, simply place a decimal point two places to the left of the number and drop the percent sign (this is the same as dividing the percentage figure by 100).
Examples:
34% = .34
150% = 1.50
If only one number is involved, add a zero to the left to permit moving the decimal point two places to the left.
For example, you want to calculate in dollars the 7½% commission on a house sale price. Convert the fractional part of the decimal number:
½% = 1 ÷ 2 = .5
Next, convert the entire commission percentage to a decimal number.
7½% = 7.5% = .075
Thus, the decimal number .075 is used to calculate the sale commission.
Assume the sale price is $130,000. Calculate the commission.
$130,000 × .075 = $9,750
Decimal Place Values
A great deal of the basic arithmetic required to compute routine real estate problems involves decimal numbers.
This review of decimals will be more meaningful if you refresh your memory of the decimal system of place values and the importance of the decimal point in separating whole numbers from fractional parts of whole numbers.
The chart of decimal place values shown below should be memorized if you do not already know the place values.
Notice that the whole numbers are to the left of the decimal point. The decimal fractions of a whole number are to the right of the decimal point.
Working with Decimals
To divide a whole number by a decimal—for example, 41,500 divided by 1.85—first enter 41500 into your calculator, press the division key, and then enter 1.85. When you press the equal sign key, the answer will appear in the display.
Sale Commissions (Ex. 1)
Let’s begin with an example of a commission calculation. In this example, the property is listed and sold by the same sales associate.
Suppose a broker’s listing agreement specifies that 6½% commission is to be paid on the sale price. A sales associate for the firm lists and sells the property and is to receive 55% of the 6½% sale commission. How much will the sales associate earn after selling the property for $62,000?
Step 1: Find the total sale commission.
$62,000 sale price × .065 rate = $4,030 total commission
Step 2: Find the sales associate’s commission.
$4,030 total commission × .55 split = $2,216.50 sales associate’s commission
More frequently, a property is listed with one brokerage company and sold by another brokerage through the MLS system. Members of the MLS (who are also members of their local REALTOR® association) make an offer of cooperation (“co-broke” or “co-op”) when they place their listings in the MLS. When another brokerage sells the listing, it will receive the portion of the total commission that was specified by the listing brokerage.
Sale Commissions (Ex. 2)
A broker’s listing agreement specifies a 7% commission is to be paid on the sale price. The MLS agreement specifies a 50-50 split between the listing and selling offices. If the property sells for $100,000, how much commission is earned by the listing and the selling offices?
Step 1: Find the total sale commission.
$100,000 sale price × .07 rate = $7,000 total commission
Step 2: Find the selling and listing office’s split.
$7,000 total commission × .50 split = $3,500 selling/listing office commission
The selling commission is typically shared between the broker of the selling office and the sales associate who works for the selling office that found a buyer for the property.
The same is true for the listing office and the sales associate who listed the property for the brokerage company.
The percentage that sales associates earn is negotiated between each sales associate and the employing broker, taking into consideration the sales associate’s experience and production.
Sale Commissions (Ex. 3)
Let’s assume that the sales associate receives 60% of the total selling office commission. How much commission did the sales associate earn on the previous example? How much did the broker receive for the same transaction?
Step 1: Calculate the sales associate’s split of the selling office commission.
$3,500 selling office commission × .60 split = $2,100 sales associate’s commission
Step 2: Calculate the broker’s split of the selling office commission.
$3,500 selling office commission × .40 split = $1,400 broker’s commission
Sale Commissions (Ex. 4)
Today 100% commission arrangements are popular. A sales associate in a 100% commission office receives the entire commission due the respective brokerage office.
Instead of splitting the commission with the broker, the sales associate pays a specified share of office expenses plus a fixed monthly fee.
A broker who lists a property with higher-than-normal value may agree to a graduated (sliding scale) sale commission. This provides an incentive for the broker to get the seller the very best price possible.
For example, the broker has a listing with a seller, and the parties agree to a graduated commission structure. The commission is 5% on the first $200,000 of sale price, 6½% on the next $100,000 of sale price, and 8% on the amount over $300,000. What is the total commission if the property sells for $325,000?
Step 1: Calculate the first increment of commission.
$200,000 × .05 rate = $10,000 first increment commission
Step 2: Calculate the second increment of commission.
$100,000 × .065 rate = $6,500 second increment commission
Step 3: Calculate the third increment of commission.
$25,000 remaining portion of sale price × .08 rate = $2,000 third increment commission
Step 4: Add the commission increments to determine the total commission.
$10,000 + $6,500 + $2,000 = $18,500 total commission
Profit
Profit is how much you make over and above your cost.
It may be expressed as an amount or as a percent of your cost.
Formulas for Profit and Loss
The formula for profit is:
amount made on sale ÷ total cost = percentage profit
The formula for loss is:
amount lost on sale ÷ total cost = percentage loss
For example, a lot cost $8,000 and sold for $10,000, yielding a $2,000 profit. What is the percentage of profit?
$2,000 ÷ $8,000 = .25 or 25% profit
Example: A
For example, a lot cost $10,000 and sold for $8,000, resulting in a $2,000 loss. What is the percentage of loss?
$2,000 ÷ $10,000 = .20 or 20% loss
For example, a lot sold for $6,000, making a 25% profit. What was the cost of the lot?
100% cost + 25% profit = $6,000
125% = $6,000 selling price
$6,000 selling price ÷ 1.25 = $4,800 cost
For example, a lot sold for $10,000, representing a 20% loss. What was the cost of the lot?
100% - 20% = $10,000
80% = $10,000
$10,000 selling price ÷ .80 = $12,500 cost
Title Closing
The consummation of a real estate transaction, when the seller delivers title to the buyer in exchange for payment from the buyer of the purchase price.
Pre-closing Inspection
A final walk-through with the sales associate to verify that repairs have been completed and that the property is left in good condition.
Preclosing Steps
- Mortgage application.
If the buyers intend to finance the purchase, they will complete a mortgage application. The contract for sale and purchase specifies the number of days within which the buyer must submit a loan application. The real estate contract typically contains a financing contingency clause that provides for cancellation of the sale contract and return of the buyer’s escrow deposit if the buyer is unable to secure financing.
- Survey.
The buyer should have the property surveyed to determine the exact location and size of the property and to make sure there are no encroachments, such as a neighbor’s fence across the property line.
- Appraisal.
Because the property is pledged as collateral for the mortgage loan, the lender will order an appraisal to determine whether the property’s value is sufficient to ensure recovery of the loan amount should a default occur. In a cash transaction, the buyer may want the property appraised to verify the property’s value for tax or investment reasons.
- Title insurance.
A search is made of the public records for condition of the title and existing liens, judgments, or other encumbrances. The seller is responsible for removing any encumbrances on the title. Typically, there is a simultaneous issue of the owner’s policy and the lender’s policy.
- Closing documents.
The closing agent, usually a title company or an attorney, prepares the closing documents.
- Property inspections.
It is advisable for the buyer to have a certified property inspector check the condition of the structure and mechanical parts. An inspection for wood-destroying organisms (WDO), including termites and wood rot, is also recommended and may be required by the lender.
- Pre-closing inspection.
Before the closing date, the buyer makes a final preclosing inspection (walk-through) of the property with the sales associate. The purpose of the preclosing inspection is to verify that repairs have been completed and the property has been left in good condition.