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KAPLAN 9
RE CALCULATIONS
| Question | Answer |
|---|---|
| A borrower secured an $80,000 loan at 8.25% interest, and the lender's cash outflow was $77,600. What was the effective yield to the lender? | 8.63% $80,000 – 77,600 = $2,400 2,400 ÷ $80,000 = 3 points (0.03) 0.125 × 3 = 0.375 8.25% + 0.375 = 8.63% |
| Which of the following properties would a property manager recommend an investor purchase? | A property where the gross monthly rental income was 3% of the purchase price A property manager would recommend an investor purchase the property where the gross monthly rental income was 3% of the purchase price. The higher the percentage number (i.e |
| A loan officer is paid 45% of the origination fee that her company charges. The loan officer negotiated a reverse mortgage, and her company was paid 2% of the appraised value of $190,000. How much was the loan officer paid? | $1,710 $190,000 × 2% (0.02) = $3,800 total origination fee $3,800 × 45% (0.45) = $1,710 |
| A loan officer is paid 45% of the origination fee that her company charges. The loan officer negotiated a reverse mortgage, and her company was paid 2% of the appraised value of $190,000. How much was the loan officer paid? | $1,710 $190,000 × 2% (0.02) = $3,800 total origination fee $3,800 × 45% (0.45) = $1,710 |
| How much monthly PITI payment can a purchaser qualify for if he earns $6,600 gross income monthly and the lender applies 28/36 qualifying ratios? | $1,848 $6,600 income × 28% (0.28) = $1,848 (monthly PITI payment). The lender's 28/36 qualifying ratios mean that the purchaser's total monthly housing expenses should be no more than 28% of his total monthly gross income, and that the purchaser's tota |
| A 20-unit commercial office building had a vacancy rate of 5%. Monthly rent for each unit was $975. The office building earned additional monthly income totaling $2,000 from on-site amenities like vending machines, storage facilities, and reserved parking | $245,100. Here is the formula for calculating effective gross income: gross potential rent + other income – vacancies/collection losses = effective gross income. $975 × 20 = $19,500 × 12 = $234,000 potential gross rent $2,000 × 12 = $24,000 addit |
| A first-time buyer paid $135,500 for her property. Taxes in her community are assessed at 80% of the market value. If the tax rate is 700 mills per $100, how much will be escrowed for taxes for her monthly PITI payment? | $63.23 Tax rate = 700 mills ÷ 1,000 = 0.7 ÷ 100 = 0.007 Assessed value $135,500 × 80% (0.80) = $108,400 $108,400 × 0.007 = $758.80 annual taxes $758.80 ÷ 12 = $63.23 monthly tax |
| A buyer offer of $295,000 was accepted, and a loan was negotiated for 80% at 7% for 25 years. The closing took place on January 5, and the buyer's first PITI payment is due March 1. Using a 365-day year, with the seller having the day of closing, how much | $1,176.77 Step 1, determine the loan amount: $295,000 × 0.80 = $236,000. Step 2, determine the interest: $236,000 × 7% (0.07) $16,520. Step 3, determine what the buyer owes. The buyer will owe 26 days for January (31 – 5 = 26 days) and none for February |
| If the interest rate on an FHA-insured mortgage loan is 5.5% and the monthly payment is $1,012, the principal sum would be | $220,800. To find the principal sum, multiply the monthly payment by 12 (12 months in a year) and divide that amount by the interest rate. $1,012 × 12 = $12,144 (annual payments) $12,144 ÷ 5.5% (0.055) (interest rate) = $220,800 (the principal amou |
| A commercial lease calls for a minimum rent of $1,200 per month plus additional annual rent of 4% of the year's gross business exceeding $150,000. If the total rent paid at the end of one year was $19,200, how much business did the tenant do during the ye | 270,000 There are four steps: (1) minimum rental for the year is 12 times the monthly amount: 12 months × $1,200 per month = $14,400, (2) rental above the minimum is found by subtracting the minimum rent from the total rent paid for the year: $19,200 – |
| An owner of income-producing property asked the property manager to prepare a report showing the cash flow of the property. Which of the following accurately shows the formula for calculating a rental property's cash flow? | Gross income – (expenses and debt service) = cash flow The general formula to calculate a rental property's cash flow is gross income – (expenses and debt service) = cash flow. The formula requires that expenses be subtracted from gross income, not net i |
| All of the following lists contain items typically included in the operating expenses of a rental property EXCEPT | landscaping, debt service, property taxes. Debt service is considered an ownership expense, not an operating expense. Debt service is the money required to cover repayment of a loan (principal and interest) for a particular period of time. These other |
| A savings and loan agreed to make a $65,000 mortgage at 8% interest for 30 years and charged three points to negotiate the loan. What was the effective yield to the lender? | The lender yield per point is 1.25% (0.125). 0.125 × 3 = 0.375 8% + 0.38 = 8.38% |