CA, real estate math Flashcards
What are common land measurements?
Mile
Acre
Square foot
Yard
Rod
Hectare
Inches, feet in miles
1 yard = 3 feet
One rod = 16 1/2 feet
1 mile = 5280 feet
1 square ft.= 144 square in.
1 acre = 43,560 ft.²
1 hectare = 2.47 acres.
And an improved lot is advertised at 130,680 ft.² how many acres is this?
3 acres
Take the total feet and divided by 1 acre which is 43,560 = 3 acres
Area formula for a rectangle
Length x width
17 inches x 24 inches equals 408 ft.²
Area formula for a triangle
Half the base x height
If the base is 60, divide that and half = 30
If the height is 70 x 30 = 2100 in square feet
A property has a rectangular patio that is 10’ x 15’. What is the area of the patio?
150 ft.²
10 X 15 = 150
The property are looking to list has an addition that was built years ago. Edition master bedroom measures 20’ x 30’ any master bathroom measures 10’ x 10’. What is the total square footage of the entire addition?
700 ft.²
20 X 30 = 600
10 X 10 = 100
Land acquisition costs
Cost of purchase = land area x cost per unit
$75,000 = 5 acres x $15,000 per acre
The cost of a parcel of land is $.75 per square foot
To figure this out, you have to take the acres and find the square feet.
1 acre equals 43,560 ft.²
If the client wants to acres multiply 43,560 x 2. = 87,120 feet x .75= $65,340
A landowner has 300 acres of land. He’s parcel in the land and selling it for two dollars per square foot. James wanted wants to purchase 2 acres. How much will the cost be
$174,240
1 acre acres 43,560 x 2 = 87,120 ft.² x 2 dollars per square foot = $174,240
Loan-to-value ratio LTV
The ratio of a loan amount to the value of the property being purchased
If the loan to value ratio exceeds 80%, the borrower will likely have to purchase private mortgage insurance for the lender
LTVR loan to value ratio equation
LTVR =(loan amount ÷ home value) x 100
Home purchase price $100,000, buyer puts down $10,000, this is a 90/10 loan
LTVR = $90,000 ÷ $100,000 x 100 = 0.9.x 100 = 90
Buyer puts down 20% on a house with purchase price $100,000 set an alone would be $80,000
LTVR = $80,000 ÷ $100,000x 100 = 0.8×100 = 80.
Loan origination fee
Loan amount x loan origination percentage
$100,000 loan lender charges 1% loan origination fee
Move percentage to a decimal two places to the left
What percent is 0.01 as a decimal.
Loan origination fee = $100,000 x 0.01 = $1000.
360,000 financed with a $40,000 down payment
90/10 LTVR
360,000 ÷ 40,000 =0.9.x 100 = 90
10 LTVR
Loan-to-value ratio
Loan amount ÷home value x 100
Property is valued at $500,000 with a $50,000 down payment, financing $450,000
90/10 LTVR
500,000÷450,000 = 1.111.
Move the decimal to the left two times 0.1.
0.1× 100 = 10
Purchase price $600,000 and financing $480,000
80/20 LTVR
Loan amount 480,000 divided by home value $600,000 = 0.8.
0.8× 100 = 80
Sale price $300,000 financing $180,000
60/40 LTVR
$180,000 divided by $300,000 = 0.6×100 = 60.
Do you have a buyer who’s purchasing a home priced at $385,000 and appraised at $380,000. The bank has a 90/10 loan to value ratio and will charge in origination fee of 1% at closing. Calculate the loan origination fee.
$3420
Appraised amount is $380,000, 90% of that equals 342,000 x 0.01 = $3420.
That is one percent of the loan amount
Mortgage or loan origination points
These are different from discount points. Discount points are essentially prepaid interest you pay at the beginning to drive down your overall monthly payment on a mortgage.
One point = 1% of loan amount
Loan amount x points = points amount
$100,000 80/20 loan - lender charges two point
Loan around $80,000 times .2 = $1600 is the points amount that must be paid at closing.
What does a point equal?
1% of loan value
Bob and Mary are financing $160,000 for a new home. The lender will approve an interest rate of 6%, if Bob and Mary Kay to discount points at closing how much is this?
$3200
$160,000 x 0.02 equals $3200.
One point equals 1%
Two points is 2% = 0.02.
Remember to multiply and not divide
How many square feet are in 1 yard
Three
How do you calculate the area for a triangle?
Multiply half the base times height
Property is being sold for 15,000 an acre how much will 5 acres cost
$75,000
15,000×5
Jane is purchasing a property for $310,000 and plans to finance 250,000 what is the loan to value ratio round to the nearest percentage?
79 percent
81%
83%
85%
81%
$250,000 divided by $310,000 equals 0.80.
One while contains how many feet
5280
Define clients obtain an 80% loan on their $600,000 home. At closing decay 8250 for points. How many points did the buyers pay to lower the interest rate
0.017.
1.17.
1.72
7.2.
1.72.
I guess this problem so I need to find out how to do this problem. Please ask dad.
Another closing appointment is approaching. The clients are purchasing $160,000 home if they have a down payment of 25% in the bank charges two points at closing, how much are they paying in points?
$2400
$2450
$3200
$2400
First find the loan around $160,000 multiplied by .75 = $120,000.
From their multiply, the loan amount by two points, or 2%
120,000×0.02 equals 2400.
Practice this I got this wrong
Your buyer client Heather just signed a purchase agreement for 520,000 home
The LTVR is 60% how much is Heather putting down on the purchase?
208,000
$220,000
$300,000
$312,000
$208,000
Hey 60% LTVR means that Heather is financing 60% of her purchase and putting down 40%. 40% of $520,000 is $208,000.
520,000×0. 40.
Study this I got this wrong
Basic mortgage qualification
Gross income - minus tax expenses = net income
Housing debt – to – income ratio = 25% – 28%
Total debt – to – income ratio 33% – 36%
Gross income $5000 add monthly expenses $500 a month
Multiply the housing debt of 25% (0.25 x $5000 = $1250)
Take the total debt and multiply that by the ratio ( $5000 x 0.33 = $1650)
Gross income
Income before expenses are deducted
When Carrie computed her gross income, it looked fantastic, but by the time she deducted her expenses and found her net income, she thought, now that’s gross
Net income
Income after expenses have been deducted
Barry’s gross income was $50,000 but once he deducted for expenses his net income was only 28,750
Debt to income ratio
Debt to income ratio used by mortgage lenders is calculated by dividing the borrowers recurring monthly, then by the borrowers total monthly income
Because Janice debt to income ratio was too high. She didn’t qualify for a mortgage.
What does the debt to income ratio include DTI
Principal, interest, taxes, and insurance plus any HO a fees
Does not include all borrowers expenses
What is a typical low end of the housing ratio to qualify for a conventional loan?
22
25
28
30
25
To qualify for a conventional loan, the minimum is 25%. So the lender is using 25% as a threshold, the buyers house payment can’t exceed 25% of gross income.
What’s the typical high end of housing ratio to qualify for a conventional loan?
25
28
30
32
28
To qualify for a conventional loan the housing ratio generally can’t exceed 25 to 28%. So if the lender is using 28 as the threshold, the borrowers house payment can’t exceed 28% of gross income.
What’s the typical total debt to income ratio to qualify for a conventional loan?
28 to 30
30 to 35
33 to 36
35 to 38
33 to 36
To qualify for a conventional loan the total debt to income ratio generally can’t exceed 33% to 36%. This means that all the borrowers that. (house, car, loans, etc..) can’t exceed 33 to 36 of the gross income
How much can a young couple buy a house for if they earn a gross monthly income of $3600 and Inna income of $2900. The lender the couple is working with is conservative an only funds loans at a low end of the housing debt to income ratio. How large of a house payment can the couple afford according to their lender?
725
$800
$850
$900
$900
Take the gross income $3600 and multiply by 0.25.
A couple has a debt that equals $296 a month. With a gross income of $3600 I’m assuming they found a lender that uses the high end of the total debt to income ratio, what is the maximum house payment they can afford?
$900
$1000
$1100
$1296
$1000
What’s the buyers at the top of the total debt to income ratio leave this question to the expert (lender) who will tell the borrowers what they qualify for
Determine the ratio if the clients total monthly debt of $1000 and a gross income of $3500 and wants to figure out their debt to income ratio? Work backwards
28.6%
$1000 ÷ $3500 equals 0.2857.
What’s included in a total debt to ratio a.k.a. debt to income ratio, total obligation, back, and ratio?
All recurring, or installment, debt that will last longer than 10 months, such as monthly mortgage, Car, credit, and loan payments
How to calculate total debt ratio?
Total of monthly debt obligations/monthly gross income x 100
What’s included in the housing ratio, a.k.a. front and ratio
Monthly housing obligation, principal, interest, taxes, insurance, homeowners or condo association, fees
How do you calculate the housing ratio
Principal plus interest plus taxes plus insurance plus association fees/monthly gross income x 100
What’s a loan to value LTV ratio?
Amount being borrowed compared to the value of the property, either the appraised value or sales price, which ever is less
How do you calculate LTV?
Amount, financed/property value x 100
What’s a loan origination fee?
Fees charged by a lender for processing or originating a loan
How do you calculate a loan origination fee?
Loan amount x origination, right (divide a percentage by 100 to obtain the rate, so and origination fee of 2% is the same as 0.02.)
Annual interest amount
Loan balance x interest rate = annual interest amount
loan balance of $70,000 x 6% (0.065) = $4550 for annual interest amount
To figure out monthly interest annual amount $4550 ÷12 = $379.17
This is only a partial part of the payment, the rest is principal, taxes, and insurance
Flip The formula to figure out the interest rate:
Annual interest amount ÷loan balance = interest rate
$7000 annual interest amount ÷$140,000 for the loan balance = 0.05 interest rate = 5%
Calculating the interest amount
Monthly interest amount = (loan balance x interest rate) ÷number of payments annually
This is an estimate. Lender will provide an amortization table, along with other information that will be more accurately depict. The amount of interested buyer will pay.
You’re working with buyers who are preapproved for a loan up to $150,000. If they estimate paying $625 per month toward interest, what interest rate are they assuming?
4%
5%
6%
7%
5%
Take $625 x 12 months = 7500÷$150,000 = 0.05 move the decimals over to the left and that makes it 5%
Debt service calculation
Debt service = monthly payment x 12
Brenda pays $1800 per month on her mortgage, so her debt service calculation would be 1800×12 = $21,600
Principal
Principal is the actual amount borrowed
If Joe Barrows $120,000 to buy a house, the principal amount of his house loan is $120,000
Entress
Interest is the cost of borrowing money from someone else.
If Joe borrows money from Larry’s lending, Larry will charge Joe interest for using Larry’s money. Loan interest is slated as an annual percentage example 4.5%.
Term
The long-term is the amount of time over which it will be paid. If Joe’s loan is 30 year mortgage, the loan term is 30 years.
Amortization
Amortization is the process of paying off the loan overtime.
Every monthly loan payment made on a mortgage loan, reduces the amount of principle owed, and also pays the portion of interest owed for the past month. A typical mortgage loan is designed so that the end of the loan term the entire principal balance is paid off. This is called a fully amortized loan.
Negative amortization means that the monthly payment, a borrower makes isn’t sufficient to fully pay off the loan at the end of the loan term. Example would be a balloon mortgage, paying the lump sum at the end of the loan term.
The process of paying a loan off overtime
Amortization
The length of the loan
Term
The cost of borrowing money from someone else
Interest
The amount actually borrowed
Principal
Amortization monthly payment calculation
Loan amount ÷1000 x factor = monthly payment
Loan about $200,000 ÷1000 = 200 x factor off of chart, 5%(5.36822.) = $1073.64.
I’m bound to be sent for Payment
Schedule payment/total amount