Understanding Math Problems Flashcards

1
Q

Intangible taxes are charged against the amount borrowed by the buyer (less any part of the seller’s loan assumed by the buyer). Alex bought a condo for $110,750 and put $11,500 down.
What would the intangible recording tax be?

A

$110,750 – $11,500 = $99,250 in new debt / 500 = $198.50 (round up to $199) x $1.50 = $298.50

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2
Q

A home sold for $375,900. The buyers obtained a mortgage for $305,750. What will the transfer tax be on this sale?

A

Transfer taxes are calculated against sales, not loans, Multiply the sales price by 1/10 th percent to determine the tax: $375,900 x .001 = $375.90

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3
Q

Transfer taxes are charged against the sales price of the property (less any part of the seller’s loan assumed by the buyer) A home sold for $375,900. The buyers obtained a mortgage for $305,750. What will the transfer tax be on this sale?

A

Transfer taxes are calculated against sales, not loans, Multiply the sales price by 1/10th percent to determine the tax: $375,900 x .001 = $375.90

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4
Q

Dain and Sheryl’s home sold for $751,150. They owe $657,900 on their mortgage. What will their net be after they pay $24,500 in expenses and a 6.8% commission?

A

Commission = ($751,150 x .068) = $51,078,20

$751,150 Price - $657,900 Mortgage - $24,500 Costs - $51,078 Commission = $17,672 Net Proceeds

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5
Q

If a seller prepaid the taxes of $4,400 and the closing is set for May 19, using the 12-month /30- day method what will the buyer owe the seller as prorated taxes?

A

Notice that the taxes have already been paid by the Seller.

Find the daily taxes: ($4,400 annual / 360 = $12.22 per day)

Find the number of days from the beginning of the tax year (assume January 1) through the May 19 closing (assume that day is paid by the seller): (4 months x 30 days + 19 days = 139 days)

To find the seller’s cost multiply the daily tax rate by the days ($12.22 x 139 = $1,698.89 or round to $1,700).

Subtract the seller’s cost from the amount prepaid to find the amount owed the seller by the buyer as a refund. ($4,440-$1,700 = $2,700).

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6
Q

If Jessica purchases a property for $290,000, and borrows $200,000 she is said to have a LTV ratio of….?

A

A $200,000 loan that is obtained to purchase a $290,000 property is a ($200,000 / $290,000 = 68.9% or 69%) LTV Ratio.

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7
Q

Emma’s property is assessed at $650,000. Her property qualified for a $50,000 homestead tax exemption and was appraised at $800,000. What is the taxable value of Emma’s property?

A

The assessed value of a property is usually only a portion of its appraised value, and the amount is usually determined by the state government. But some properties have partial or total exemptions depending on their use (farm or family home, perhaps). In this case the Assessed value is $650,000 and the exemption is $50,000 so the taxable value is $600,000. The appraised value is not needed to answer this question.

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8
Q

How many acres are there in the W 1/2 of the S 1/2 of the SW 1/2 of a section of land?

A

A rectangular survey is composed of Townships. A Township has 36 square miles, each one of which is called a Section. Each one-square-mile Section contains 640 acres. To determine the acreage in a plot of land described as the W ½ of the S ½ of the SW ½ of the Section one can do it mathematically as:
2 x 2 x 2 = 8 and 640/8 = 80 acres
Or more visually:
640 acres / 2 = 320 acres; 320 acres / 2 = 160 acres; 160 acres / 2 = 80 acres

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9
Q

A retail property valued at $710,000 earns $4,650 per month. What is the annual percent of return?

A

($4,650x 12 months=$55,800) $55,800 / $710,000 = .07859 (7.9%) return

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10
Q

In a comparative market analysis, the subject property has 2 bedrooms, 2 baths, a ½- acre lot and a swimming pool. A $115,000 comparable has 2 bedrooms, 1 bathroom, no pool, a ½-acre lot, and a screened porch. The appraiser adjusts by $9,000 for the bath, $11,000 for the pool, and $5,800 for the porch. What is the indicated value of the subject?

A

A licensee who is helping a seller price the property for a listing will conduct a comparative market analysis (CMA). While an appraiser who employs the Sales Comparison Approach to Appraisal only considers sold properties the CMA put together by a licensee considers all recently sold, still listed and formerly listed similar properties near the subject property. An appraiser will only adjust the sold prices of comparable properties, never the subject property. He will subtract value when the comparable has more features than the subject and add when there are less features. In this case, the comparable has one less bathroom and no pool but does have a screen porch. So the adjustment calculation is:

($115,000 + $9,000 for the bath + $11,000 for the pool - $5,800 for not having a porch resulting in an indicated value of $129,200)

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11
Q

A lender is charging 2.75 points on a $275,000 loan. The borrower must therefore pay the lender an advance amount of…?

A

A point is one percent (1%) of the LOAN AMOUNT (not the price) that is paid up front when a loan is obtained. A point can also be regarded as on eighth of a percent of the interest rate (a 6 and 7/8 % rate reduced by paying three points up front will be a 6 and 4/8 % rate or 6.5%). So… ($275,000 x 2.75 points will cost $7,562.50 or $7,563)

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12
Q

A borrower earns $8,000/month and makes credit card and car note payments of $900. A conventional lender requires a 30% income ratio. What monthly amount for housing expenses (principal, interest, taxes, insurance) will the lender allow this person to have in order to qualify for a conventional mortgage loan?

A

In applying for a loan a lender will only allow a potential borrower to count a certain amount of his income as available to pay the loan. In this case the income ratio is 30% of allowable income. $8,000 x .30 = $2,400 total payments allowed - $900 other debt payments = $1,500 income available to pay for a conventional loan.

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13
Q

A small apartment building has a NOI of $40,000, interest expense of $14,000 and annual depreciation of $6,000. Assuming a 30% tax bracket, what is its income tax liability?

A

When calculating income tax on a commercial property the owner is allowed to deduct interest and depreciation from the Net Operating Income before calculating the taxable income. ($40,000 NOI - $14,000 - $6,000 = $20,000 Taxable Income x .30 tax rate = $6,000 taxes due

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14
Q

Good Springs has a tax base of $90,000,000 and a budget of $1,100,000. What is the tax rate in terms of mills?

A

When the tax base (taxable value of the property in a community) is divided into the budget required to operate the local government a tax rate is derived, based on mills. A mill is one tenth of a cent. So it is expressed like this. One mill is .001; ten mills is .010; and one hundred mills is .100. So…$1,100,000 / $90,000,000 = .0122 or 12.2 mills.

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15
Q

The Roberts carry a property insurance policy which covers 70% of the replacement cost of their insurable property, valued at $360,000. They have an 80% co-insurance requirement in the policy. If the family incurs a $290,000 loss, what amount will the Roberts recover?

A

Co-insurance is a requirement by the insurance company that the property be insured to the appropriate value. There is a penalty for not complying with this requirement. In this proble4m the property was insured for 70% while the Co-insurance requirement was 80%. To calculate the penalty figure both numbers and then divide to calculate the payment ratio. $290,000 x .70 = $203,000. $290,000 x .80 = $232,000. $203,000 / $232,000 = 87.5%
$290,000 x .875 = $253,750 recovered rather than $288,000 (80% x $360,000 value).

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16
Q

Broker Jim works on a flat 3% commission. He sells an in-house listing for $270,000 and also earns a $2,800 bonus from the listing client. What is owed Broker Jim?

A

$270,000 x .03 = $8,100 + $2,800 = $10,900

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17
Q

Kate bought a home for $210,000. However, all the town’s jobs disappeared when the local factory closed. Kate sold this home one year later for $120,000. What was her percentage of loss?

A

$210,000 - $120,000 = $90,000 / $210,000 = .428 or 43%

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18
Q

Taxes on the property buyer Tamara is purchasing are $8,200, due on December 31. If the closing is set for June 29th, using the 365-day method, how much of the taxes will be credited to the buyer? (Assume it is not a leap year and the day of closing belongs to the seller.)

A

$8,200 annual taxes / 365 days = $22.46 per day; Seller’s ownership is Jan 1 – June 29 = 180 days; 180 x 22.466 = $4,044 credit buyer.

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19
Q

Assume a loan balance of $174,000, a monthly payment of $1,395, and an interest rate of 8%. On next month’s payment, how much of the $1,395 will be applied to principal?

A

$174,000 x 8% / 12 months = $1,160; $1,395 - $1,160 = $235

20
Q

A developer wants to develop a 25-acre subdivision. He figures that the streets and common area will take up about 35% of this overall area. If the minimum lot size is to be 25,000 SF, how many lots can the developer have on this property?

A

100% - 35% = 65%; 25 acres x .65 = 16.2 acres available to develop; 16.2 acres x 43,560 square feet = 707,850 square feet / 25,000 square feet per lot = 28.31 lots (28 lots)

21
Q

A property’s value is $125,000 and its land value is $10,000. Assuming a depreciation term of 35 years, what is the amount of annual depreciation?

A

Total value $125,000 - $10,000 land = $115,000 improvements / 35 years = $3,286 annual depreciation.

22
Q

An income property generates $9,200 per month and is valued at $985,000. What is its monthly gross rent multiplier?

A

Divide the value by the Rental income. $985,000 / $9,200 = 107 GRM

23
Q

A rental house has monthly gross income of $3,000. A suitable gross income multiplier derived from market data is 13. What estimated sale price (to the nearest $1,000) is indicated?

A

Unlike the GRM a Gross Income Multiplier deals with annual income to determine the value of an income producing property. $3,000 x 12 months = $36,000 annually x 13 GIM = $468,000 in value.

24
Q

If a borrower obtains an interest-only loan of $112,500 at an annual interest rate of 6%, what is the monthly interest payment (rounded to the nearest $1)?

A

An INTEREST ONLY loan is also called a “Straight Loan” with payments consisting only of interest and all principal due with the final loan payment. The calculation for monthly payments is Total Debt x Interest Rate / 12 months…so…$112,500 x .06 / 12 = $562.50 ($563)

25
Q

An office building has $66,000 of net income and sold for $550,000. What was the rate of return?

A

Divide the Net Operating Income by the Value.

$66.000/$550,000 = .12 or 12%

26
Q

A real estate salesperson brings a buyer to a For-Sale-By-Owner transaction. The home sells for $120,000, and the seller agrees to pay a commission of 3%. The salesperson is on a 65% commission schedule with her broker. How much will the salesperson receive from this transaction?

A

$120,000 x .03 x .65 = $2,340

27
Q

Seller Frank receives an offer of $800,000 on a property he listed at $900,000. How much is the offer as a percent of the listing price?

A

$800,000 / $900,000 = 88.9%

28
Q

Albert finally found a buyer for his five-plex and closing is set for August 8th. At closing, four of Albert’s tenants have already paid their $987.50 monthly rent and one of the units remains unoccupied. What will the rent proration be assuming the 365-day method and that the closing day belongs to the seller?

A

$987.50 x 4 units = $3,950 / 31 = $127.419 per day x 23 days = $2,931

29
Q

A borrower obtained a $10,000 loan term loan with 16.5% interest paid yearly. A $1,000 principal payment was to be paid with each yearly installment. What would be the amount of principal and interest payment for the second year.

A

Beginning balance $10,000 reduced by $1,000 with first year’s payment resulting in a $9,000 balance for year two. $9,000 x .165 = $1,485 interest plus $1,000 principal = $2,485

30
Q

How many discount points are required to increase the percentage yield on a mortgage from 6% to 7.5%?

A

One point is equal to one percent of the loan amount OR 1/8 of a percent of rate. So, to increase the interest yield to the lender to 7.5% from 6% (1.5 x 8) would require payment of 12 points (12% of the loan amount) when the loan was made.

31
Q

What is the balance on an amortized loan of $110,000 after the first payment if the interest rate is 5.5% with a monthly P&I payment of $568?

A

$110,000 x .055 / 12= $504.17; $568 - $504.17 = $63.83; $110,000 - $63.83 = $109,936

32
Q

A 50-unit apartment building rented units for $200 per month. The annual gross income multiplier is 10. What is the value?

A

50 x $200 x 12 months = $120,000 annual income x 10 GIM = $1,200,000

33
Q

A duplex generates $1,400 rent for each of its two units per month. The property has been recently appraised for $350,000. What is this property’s GIM?

A

$1,400 x 2 = $2,800 x 12 months -= $33,600; $350,000 / $33,600 = 10.4 GIM

34
Q

A property had an area of 920 square yards with a 40-foot frontage. What was the depth of the lot?

A

One square yard is 9 square feet. 920 square yards x 9 square feet = 8,280 square feet / 40 feet of frontage = 207 feet of depth

35
Q

What is 7/9 + 1/3?

A

9 / 3 = 3; 7/9 + 3/9 = 10/9

36
Q

Retailer Blake owns a commercial store front lot that he wants to sell. The lot is 1/2 acres. The agent informs Blake he can get $15 per square feet for the lot. What total price should Blake list the property for?

A

One acre = 43,560 square feet / 2 = 21,780 x $15 = $326,700

37
Q

A building has 15 apartments generating annual potential rent of $750 each month. Vacancy = 5% and annual expenses are $81,000. What is the Net Operating Income (NOI)?

A

15 x $750 x 12 x .95 = $128,000 - $81,000 = $47,250 NOI

38
Q

A $400,000 loan has monthly interest-only payments of $2,600. What is the annual interest rate?

A

$2,600 x 12 =$31,200 / $400,000 = 7.8% per year

39
Q

Homeowner Elizabeth sold her house and had net proceeds of $266,000. Her adjusted basis in the home was $235,000. She immediately bought another house for $198,000. What was Elizabeth’s capital gain?

A

$266,000 - $235,000 = $31,000 capital gain on the sold house

40
Q

A property sells for $620,000 two years after it was purchased. If the annual appreciation rate was 4%, how much did the original buyer pay for the property (round to the nearest $1,000)?

A

$620,000 / 1.04 / 1.04 = $573,224.85 (round to $573,000)

41
Q

A homeowner receives a tax bill that includes an amount for the police district, taxed at $2.50 per $1,000, and the fire protection district, taxed at $1.80 per $1,000. How much does the taxpayer have to pay for these two items if the property’s taxable value is $77,000?

A

$2.50 + $1.80 = $4.30 x 77 (thousands) = $331.10 (round to $331)

42
Q

A buyer will receive a water bill for an estimated $30 at the end of the month. At closing, the seller has used an estimated $24 of the water. What should appear on the closing statement?

A

It is unusual to prorate utility bills but just to do the math, here’s the solution: Debit (charge) the seller and Credit (pay) the buyer the unpaid $24 because the buyer will have to pay the full bill later.

43
Q

A building contains 50 one-bedroom units and 150 two-bedroom units. The one-bedroom units rent for $550 monthly; two-bedrooms rent for $675. The vacancy rate is 7 percent; operating expenses are estimated at 40 percent of effective gross income. There is an additional income of $2,000 from vending machines. What are the operating expenses of this building?

A

50 x $550 x 12 = $330,000;
150 x $675 x 12 = $1,215,000;
$330,000 + $1,215,000 = $1,545,000 x 93% = $1,436,850 + $2,000 = $1,438,850 x .40 = $575,540

44
Q

Homeowner Dean owns the northwestern 1/8 of the northeastern 1/2 of the southwestern 1/8 of Section 31. How many acres is that property?

A

The rectangular survey was first introduced in this country when Thomas Jefferson was the Secretary of State. It is French in origin. It was only used as the USA expanded into the “western lands,” andnot inthe thirteen original colonies (Virginia was one). It is composed of Townships that are square tracts of land sixmiles on each side. A township has 36 sections which are square tracts of land one mile on a side. One mile is 5,280 square feet.

So 5,280 x 5,280 = 27,878,400 square feet.

An acre is 43,560 square feet soone Sectionhas (27,878,400 / 43,560 = 640) acres.

There are several ways to divide and calculate areas in a Section:
8 x 2 x 8 = 128; 640 acres / 128 = 5 acres
or
NW 1/8 ofNE 1/2 of SW 1/8 of Section 31.
(5 - 40 - 80 -640)
Section 31 = 640 acres
1/8 of Section31= 80 acres
1/2 of 80 acres = 40 acres
1/8 of 40 acres= 5 acres

45
Q

Jennifer wants to net $35,000 on her house. Her closing costs will be 7,500 plus a 7% commission. She owes $185,000 on her loan. What should the sale price be (round to the nearest $1,000)?

A

$35,000 ne + $185,000 loan payoff + $7,500 closing costs = $227,500 / .93% = $244,623.66 (Round to $245,000 sales price)