Math 01 Flashcards
Jackie obtains a 60% LTV loan on her new $250,000 home with an annual interest rate of 5.5%. What is the first month’s interest payment?
$250,000 x 0.60 = $150,000 loan, $150,000 x 0.055 = $8,250, $8,250 ÷ 12 = $688
Laura obtains a new loan @ 67% of her home’s price of $300,000. The loan constant is 6.321. What is Laura’s monthly payment?
$300,000 ÷ 1000 = $300, $300 x 6.321 = $1,896, $1,896 x 0.67 = $1,270
Price / 1000 = A
A X Constant = B
B X Rate = Monthly Payment
Jerry recently obtained an 75% loan on his $410,000 home, and he had to pay $5,600 for points. How many points did he pay?
$410,000 x 0.75 = $307,500, $5,600 ÷ $307,500 = 0.018 = 1.8 points
A borrower obtained a 70% loan for $600,000. What was the price of the home (to the nearest thousand)?
Loan / Rate = Price
$600,000 / 0.70 = $857,142.86
The loan officer at 2nd National Bank tells Lana she can afford a monthly payment of $1,900 on her new home loan. Assuming this is an interest-only loan, and the principal balance is $410,000, what interest rate is Lana getting?
$1,900 x 12 = $22,800, $22,800 ÷ $410,000 = 0.0556
A home buyer pays $1,800 / month for the interest-only loan on his new house. The loan’s interest rate is 6%. If he obtained a 80% loan, what was the purchase price?
$1,800 x 12 = $21,600, $21,600 ÷ 0.06 = $360,000, $360,000 ÷ 0.80 = $450,000
If you owe $14,000 on a new loan and pay $880 of interest for the year, your interest rate is?
.063 = 6.3%
A loan applicant has an annual gross income of $76,000. How much will a lender allow the applicant to pay for monthly housing expense to qualify for a loan if the lender uses an income ratio of 30%?
1900
(Gross Income / 12) x Income Ratio = Monthly Housing Expense
Formula: AGI / 12 = MGI
MGI X Income Ratio = Monthly Housing Expense
A loan applicant has an annual gross income of $42,000. How much will a lender allow the applicant to pay for monthly housing expense to qualify for a loan if the lender uses an income ratio of 32%?
1120
Formula: Monthly Principal and Interest (PI) payment = Income ratio X Monthly gross income
The Browns obtain a fixed-rate amortized 30-year loan for $310,000 @ 6% interest. If the monthly payments are $1,815, how much interest do the Browns pay in the first month of the loan?
1550
(Loan x Rate) / 12
Formula: Step 1: Principal X Interest Rate = Annual Interest
Step 2: Annual Interest / 12 months = 1 month’s Interest
A lender determines that a homebuyer can afford to borrow $160,000 on a mortgage loan. The lender requires an 80% loan-to-value ratio. How much can the borrower pay for a property and still qualify for this loan amount?
200,000
A home buyer pays $1,800 / month for the interest-only loan on his new house. The loan’s interest rate is 6%. If he obtained a 80% loan, what was the purchase price?
Annual Interest / Rate = Loan Amount
Loan Amount / LTV = Price
450000
A lender uses a 39% debt ratio. A borrower earns $40,000 / year and has monthly non-housing debt payments of $700. What housing payment can she afford?
Monthly Principal and Interest (PI) payment = Income ratio X Monthly gross income
$1300
Christy has monthly loan payments of $1,200. Her loan is for $210,000 @ 6.1% interest. How much of her first payment goes towards principal?
Annual Interest / 12 - Monthly Payment
$132.50
The loan officer at 2nd National Bank tells Lana she can afford a monthly payment of $1,900 on her new home loan. Assuming this is an interest-only loan, and the principal balance is $410,000, what interest rate is Lana getting?
Monthly Payment X 12 = Annual Interest
Annual Interest / Principal Balance = Interest Rate
.0556
A borrower has a $770,000 interest-only loan @ 5.5% interest. What are the monthly interest payments?
Loan Amount X Rate = Annual Interest
Annual Interest / 12 = Monthly Interest Payment
$3529
A property sells for $180,000 one year after it was purchased. If the annual appreciation rate is 10%, how much did the original buyer pay for it?
The selling price is 110% of the purchase price. Therefore, the purchase price is the selling price divided by 1.1 (110%). $180,000 / 1.1 = $163,636.
A homeowner paid $185,000 for a house three years ago. The house sells today for $239,000. By what percent has the property appreciated?
Appreciation as a per cent can be estimated by (1) subtracting the estimated current market value from the price originally paid (239,000 - 185,000 = 54,000) and (2) dividing the result by the original price (54,000 / 185,000 = 29) or 29%.
An office building has $300,000 net income and sold for $4,800,000. What was the rate of return?
Rate = ($300,000 NOI ÷ $4,800,000 price) = 6.25%
An office building has $400,000 net income and a cap rate of 8.25%. What is its value?
Value = ($400,000 ÷ 8.25%) = $4,848,485
A home that was purchased for $150,000 with a $100,000 loan is now worth $300,000. The current loan balance is $80,000. What is the homeowner’s equity?
Equity = $300,000 value - $80,000 debt = $220,000
Yvonne bought a home in Biltmore Estates 3 years ago for $250,000. She obtained an 80% loan. Over the past three years, the total appreciation rate has been 18%, and she has paid down her loan by $4,000. What is Yvonne’s equity after this period?
Equity = Market value – loan balance. Her loan was .8 x $250,000, or $200,000. Her initial equity was 20% x $250,000, or $50,000. The home has appreciated 18%, or (.18 x $250,000), or 45,000. Plus she has paid down her loan $4,000. Her equity is therefore ($295,000 market value – 196,000 loan), or $99,000.
Using the terms Potential Gross Income, Vacancy, Other Income, Operating Expenses, and Gross Operating Income, express the equation for Net Operating Income.
(Potential Gross Income - Vacancy) + Other Income = Gross Operating Income
Gross Operating Income - Operating Expenses = Net Operating Income (NOI)
Describe the difference between NOI and cash flow.
Cash flow is net operating income minus debt service. If there is no loan the two are the same.