1) Mini-Course Flashcards
[OMIT MATH} Which of the following would be the largest area?
a. 5280 feet by 5280 feet
b. one mile by one mile
c. 10% of a township
d. two sections
- c. 10% of 36 miles (a township) = 3.6 square miles.
a. 5280 feet (1 mile) by 5280 feet (1 mile) = 1 square mile
b. 1 mile by 1 mile = 1 square mile
d. 2 sections (1 square mile per section) = 2 square miles
[OMIT MATH] Which of the following would be the largest area?
a. 5280 feet by 5280 feet
b. one mile by one mile
c. 10% of a township
d. two sections square
- d. Two sections square would be two sections by two sections, which would equal four sections (1 mile square per section) = 4 square miles.
a, b, and c (see answers in number 1 for areas)
[OMIT MATH] Mr. Able owns an income property having a current market value of $285,000, which is free of any liens, and that has a current book value of $198,000. He is exchanging his property for Mr. Baker’s income property, which is presently worth $259,000 and that also is free of any liens. As part of the exchange agreement Mr. Baker gives Mr. Able $17,000 in cash. Concerning this transaction. Which of the following would be correct regarding Mr. Able’s tax consequences?
a. $26,000 taxable
b. $17,000 taxable, $61,000 deferred
c. $26,000 taxable, $61,000 deferred
d. $17,000 taxable
c. Process to work-out answer: =-| MARKET VALUE $285,000 $259,000 LIENS -0- -0- EQUITY $285,000 $259,000 AMOUNT NEEDED TO BALANCE $ 26,000 (Boot)
Determine Mr. Able’s profit!
MARKET VALUE $285,000 (Value)
- -$198,000 (Basis)
$ 87,000 (Realized Gain)
Determine taxable amount of Mr. Able’s profit….
$87,000 REALIZED GAIN
$26,000 (BOOT) RECOGNIZED GAIN
$61,000 EQUITY TRADED IN PROPERTY
EQUITY TRADED…………………………..………………… $61,000
BOOT received is taxable……………………………………. $26,000
($17,000 in cash and $9.000 in some other form of compensation)
[OMIT MATH] Lender Johnson loans borrower Brown a sum of $1,400 and takes back a note and deed of trust. The note was set up to be fully amortized over a 1-year period, interest at 9% per year, payable a $122 per month. When the note was drawn, it was immediately sold to an investor for a 15% discount. If the loan were fully paid off at the end of the year, what percent return would the investor make on this investment? 9% 24% 23% 19%
c. Process to work-out answer…..
TOTAL AMOUNT RECEIVED ON NOTE…
12 monthly payments x $122 per month (includes principal and interest) = $1464 total amount received
COST TO INVESTOR
$1400 NOTE X 15% (discount) = $210 $1400 - $210 = $1190
TOTAL AMOUNT RECEIVED BY INVESTOR $1464
COST TO INVESTOR $1190
PROFIT MADE $ 274
$274 profit on an $1190 investment = 274/1190
$274 is what percent of $1190?
$274 divided by $1190 = .23 (23%)
[OMIT MATH] Mr. White owns a home on 4th street in Modesto, California. The home is “free and clear.” He recently purchased a new home in Stockton, California. The contract to purchase the new home has a contingency that Mr. White’s home in Modesto be sold within 60 days and that Mr. White net $18,600 from the sale after all expenses have been deducted. Mr. White employs Broker Green to assist him in the sale of the property. The broker is to receive a 6% commission and there will be an escrow fee of $200. How much must the home in Modesto sell for in order to net Mr. White $18,600?
$19,916
$19,928
$20,000
$31,700
c. Determine the total amount of cash the owner needed to receive…
$18,600 CASH (net to owner after all expenses)
200 CASH (to cover cost of escrow fee)
$18,800 Total needed except for the cash needed to pay the 6% commission
+6% Of the selling price needed to pay broker’s commission
SELLING PRICE
We know the selling price minus the 6% commission (after paying the 6%) is equal to $18,800. Therefore 18,800
must represent 94% of the selling price.
Question…$18,800 is 94% of what?
Solution…$18,800 divided by 94% = $20,000
[OMIT MATH] What is the distance between the Range lines as relates to the U.S. Government Rectangular Survey System? one mile six miles twenty-four miles thirty-six miles
b. Statement of fact. TOWNSHIP LINES are always 6 miles apart as are Range Lines.
[OMIT MATH] An income property has a value of $200,000 and returns a net of 6% to its owner. What would the value of this property be to a new purchaser who wished to receive an 8% return on their money? $200,000 266,667 $150,000 $160,000
c. The trick is getting the NET INCOME. The net income is determined by recognizing that the property nets its present
owner 6% of $200,000 which is $12,000 ($200,000 x 6% = $12,000). Now knowing the net income is $12,000 and
that the investor wants an 8% return on a property with a $12,000 net…you divide the $12,000 (net income) by 8%
(the cap rate) to get $150,000 (the appraised value).
[OMIT MATH] A property was sold with a $1,000 cash down payment. The buyer is to assume the existing first loan now held on the property. The balance of the first loan was not known, however, this information was available…"The last monthly payment made by the owner showed that of the total payment that $90 had been applied toward the interest and that the annual interest rate on the loan was 9% per year. It was also determined that the loan balance on the first loan was 80% of the total purchase price. The seller in order to help the buyers purchase the property agreed to carry back a purchase money second deed of trust for the balance of the purchase price. What would the amount of the second deed of trust be? $2,000 $200 $250 $3,000
8. a. Process to work out answer… DETERMINING BALANCE OF FIRST LOAN $90 (1 months interest) x 12 months = $1080 interest that would have been due for one full years worth of interest. $1080 interest for one-year divided by 9% yearly interest rate equals loan balance of $12,000 ($1080 divided by 9% = $12,000) FIRST LOAN IS $12,000 FINDING PURCHASE PRICE The first loan equals 80% of the purchase price. Therefore the math question here is $12,000 (first loan) equals 80% of what? ($12,000 divided by 80% = $15,000) PURCHASE PRICE $15,000 FINDING AMOUNT OF THE SECOND LOAN Purchase Price $15,000 Down payment - 1,000 Balance $14,000 First Loan -$12,000 SECOND LOAN $ 2,000
[OMIT MATH] If the inside measurements of a building were 24 feet by 30 feet and the building had six-inch walls, how many square feet of ground does the building cover? 775 square feet 750 square feet 720 square feet 747.5 square feet
- a The trick to working out this problem is that when adding the 6-inch walls to both sides of a building it would increase
the overall width by (2 x 6-inches) 12 inches and the depth by (2 x 6-inches) 12 inches. Thus making the outside
measurements 31 feet by 25 feet (31 x 25 = 775) or 775 SQUARE FEET.
[OMIT MATH] A road runs across the entire southern boundary of a section of land. The road contains three acres of land. The approximate width of the road would be: 20 feet 30 feet 40 feet 50 feet
- a. Information: We have a rectangular figure which is 5280 feet in length and contains 3 acres
Solution: Change the 3 acres into square feet. 43,560 sq. ft.( in 1 acre) x 3 acres = 130,680 sq. ft.
Then divide the area of the road 130,680 sq. ft. by 5280 ft. to arrive at the road width.
Which is 24.75 feet Wide
[OMIT MATH] A 40-foot wide road runs midway between sections six and seven. Of the following, which would most nearly be the area contained in the road in section six? three acres two acres five acres six acres
- b. Information: The road is 40 ft. wide. 20 ft. of the width is in Section 6. The road is 20 FEET WIDE.
Solution: 20 FEET X 5280 FEET = 105,600 SQUARE FEET
105,600 SQUARE FEET (area of road in the square) is then divided by 43,560
SQUARE FEET (sq. ft. in one acre of land) equals 2.42 ACRES
[OMIT MATH] The NW1/4 of the NW1/4 of the NW1/4 of a section would contain how many acres? 100 acres 10 acres 40 acres 20 acres
- b. A whole section contains 640 ACRES
WHOLE SECTION 640 Acres
(NW1/4) A 1/4 of 640 acres is 160 Acres
(NW1/4) A 1/4 of 160 acres is 40 Acres
(NW1/4) a 1/4 of 40 acres is 10 ACRES
The trick is the answer is looking to find the AREA described, not where the described parcel is located. Therefore the locations
described such as Northwest 1/4 are not pertinent. All that is necessary to find the answer is determining the fractional portion of
the section (640 acres). The fractional portion of the section is 1/4 of a 1/4 of a 1/4 of 640 acres. 1/4 x 1/4 = 1/16. 1/16 x 1/4 =
1/64. Therefore we’re looking for how many acres in 1/64 of 640. 640 Acres divided by 64 (1/64) = 10 ACRES
[OMIT MATH] The cost to construct a building is $160,000. It is estimated that the property will produce an income of $2,400 per month with expenses estimated at $6,000 per year. If the owner wishes to receive a return of 12% on their investment, what would be the most the owner could afford to pay for the land? $ 30,000 $240,000 $210,000 $190,000
- a. BUILDING COST $160,000
GROSS INCOME 2,400 per month x 12 months = $28,800 Annual Gross Income
ANNUAL GROSS $ 28,800
ANNUAL EXPENSES 6,000
ANNUAL NET $ 22,800
Divide the NET INCOME OF $22,800 by the CAP RATE (Capitalization Rate) of 12%, which equals an APPRAISED VALUE of $190,000.
If the investor will pay $190,000 for the entire property (which includes land and improvements) and the improvements by
themselves will cost $160,000, then the most they would pay for the LAND would be $30,000.
[OMIT MATH] Mr. Johnson wishes to receive an income of $75 per month. What would be the total sum that he must invest so that a 5% return would net him this sum? $18,000 $ 1,500 $15,000 $ 1,800
- a. $75 per month income required x 12 months equals $900 per year. If a person requires $900 per year income and their
money invested is returning 5% yearly, then $900 must equal 5% of the amount of money that must be invested. The math
question therefore being asked is: $900 equals 5% of what amount of money?
$900 divided by 5% = $18,000
(verify: $18,000 invested at 5% annual return = $900 per year. $900 per year divided by 12 months = $75 per month)
[OMIT MATH] A parcel of land that measures 1/2 mile by 1/2 mile contains how many acres? 640 acres 160 acres 40 acres 320 acres
15. b. FULL SECTION = 640 ACRES 1/2 mile x 1/2 mile = 1/4 of a section 1/4 of 640 Acres = 160 ACRES 1 Mile
[OMIT MATH] A borrower procures a loan paying the lender four points. The lender immediately sells that loan to an investor for $34,740, which represented a 3-1/2 point discount. What was the face amount of the loan? $37,345.50 $36,000.00 $34,913.70 $36,187.50
- b. One of the key areas in this question is that we are NOT looking for any percentage of profit just the original loan amount.
Therefore the 4-POINT FEE paid by the borrower is not pertinent to answering the question.
The important figures are the 3-1/2 POINT DISCOUNT and the $34,740 SELLING PRICE OF THE LOAN.
If the $34,740 represents 3-1/2% LESS than what the original amount was, then the $34,740 would represent the original
loan amount that we are trying to find MINUS 3-1/2% (discount). Or we could say that the $34,740 therefore represents
96-1/2% of the original loan amount. The math question being asked then is: $34,740 is or represents 96-1/2% of the
original loan amount. $34,740 divided by 96-1/2% = $36,000.
Check Answer: $36,000 x 3-1/2% = $1260 discount. $36,000 minus $1260 discount equals $34,740
[OMIT MATH] The value of an unimproved lot held for investment was $22,500. The total value of the property when an improvement was placed on it was $131,000. If the estimated economic life is set at 50 years, what would the adjusted book value be after 17 years? $ 2,170 $94,110 $86,460 $36,890
- b. STEPS: ORIGNIAL BOOK VALUE (Cost Basis) - $131,000
Land cannot be depreciated therefore we must determine the value of the improvement (ALLOCATION)
$131,000 Land & Improvements
-22,500 Land Only
$108,500 Value Attributed to the Improvements Only
Determine Annual Depreciation…$108,500 divided by 50 year life = $2170 per year
$2170 per year x 17 years = $36,890 which is the total (accrued) Depreciation
SOLUTION: $131,000 Original Book Value
36,890 Accrued Depreciation
$ 94,110 ADJUSTED BOOK VALUE AFTER 17 YEARS
[OMIT MATH] A property was purchased for $10,000 and showed an 8% return. The existing lien was $9,000 with a 6% interest bearing straight note. What was the percentage of profit on the owner's equity? 26% 8% 12% 10%
- a. STEPS: $10,000 Purchase Price
$10,000 x 8% = $800 Net Return
$ 9,000 Promissory Note costing 6% interest = $540 Annual Interest Charge
$800 Net Income
- $540 Interest Paid
- $260 CASH FLOW
If there is an existing lien or loan balance of $9,000 the equity is $1,000 ($10,000 minus the $9,000 debt)
$260 RETURN on $1,000 EQUITY
Math question posed is $260 is what % of $1,000
$260 divided by $1,000 = .26 (26%)
[OMIT MATH] A piece of property was faced on two sides by two roads, which ran perpendicular to each other. One road was 2640 feet long and the other was 1320 feet long. A third boundary, which ran parallel to the shorter of the two roads, was 2640 feet. The fourth boundary ran from the last point of the third boundary to the shorter road. How many square feet did this parcel contain? 10,454,400 6,969,600 3,484,800 none of the above
- d. STEPS: Perpendicular means meeting at a 90% Angle.
Third Boundary added - Parallel (runs in the same direction)
Fourth Boundary
We’ve formed a TRAPAZOID. Formula for area of trapezoid is: ADD THE TOP & BOTTOM WIDTHS X THE DEPTH
Divided by 2
2640 ft. + 1320 ft. = 3960 ft. 3960 ft. x 2640 ft. = 10,454,400. 10,454,400 divided by 2 = 5,227,200 square ft.
[OMIT MATH] Mr. Green and Mr. Brown were both interested in purchasing the same income property that showed a net income of $10,000. However, Mr. Green wanted a 10% return and Mr. Brown wanted an 11% return. The amount Mr. Green would be willing to pay compared to Mr. Brown would be: 1% higher 10% lower 1% lower $9,090.91 higher
- d. STEPS: Mr. Green - $10,000 divided by 10% = $100,000.00 Value
Mr. Brown - $10,000 divided by 11% = $ 90,909.09 Value
$ 9,090.91 DIFFERENCE (More than Brown)
[OMIT MATH] Mr. Smith owns a 10-unit apartment building. In 1973, he received $85 per month per apartment with no vacancies. In 1974, he raised the rents 10% but suffered a 10% vacancy factor that year. What was the percentage return difference between 1973 and 1974? gained 1% lost 1% gained 10% lost 10%
- b. STEPS: $85 x 10 = $850 monthly income x 12 = $10,200 ANNUAL INCOME
Raise rent by 10% ($85 x 10% = $8.50) $85 + $8.50 = $93.50
$93.50 x 10 = $935 Monthly Income
$935 x 12 Months = $11,220 ANNUAL INCOME
Lose 10% of the income ($11,220 x 10% = $1122)
$11,220 - $1122 = $10,098
OUTCOME: $10,200 - $10,098 = $102 Loss
$102 divided by $10,200 = 1% LOSS
[OMIT MATH] A property has a capitalized value of $85,000. The expenses are 15% of the yearly gross income. If the net income is capitalized at 6%, what is the monthly gross income? $6,000 $ 500 $ 850 $5,000
- b. STEPS: $85,000 Market Value x 6% = $5,100 Net Income
$ 5,100 Net Income equals the yearly gross minus15%.
Therefore $5,100 equals15% less than the annual gross income.
$5,100 is 15% less or 85% of the yearly gross. $5,100 divided by 85% = $6,000 yearly gross income
$6,000 annual gross income divided by 12 months = $500 Monthly Gross.
[OMIT MATH] How many acres would be contained in a parcel of land that is triangular in shape having a bottom width of 1320 feet and a depth of 2640 feet? 20 acres 30 acres 40 acres 50 acres
- c. FORMULA for the area of a TRIANGLE
WIDTH x DEPTH
———————– = AREA
2
STEPS: 1320 feet x 2640 feet = 3,484,800 square feet
3,484,800 divided by 2 = 1,742,400 square feet
Determining Acres. 1,742,400 divided by 43,560 (sq. ft. per acre) = 40 ACRES
[OMIT MATH] A property is listed for sale for $35,000 with the owner to pay a 6% commission. The broker presents an offer of 10% less. The owner agrees to sell if the broker will take a 20% cut in the commission. If the broker accepted those terms and the property sold, how much would the broker receive? $2,100 $1,512 $1,680 $1,890
- b. STEPS: $35,000 listing Price and sells for 10% LESS
$35,000 by 10% (less) = $3,500 LESS
$35,000 minus $3,500 = $31,500 SELLING PRICE
To arrive at the amount of the commission…
$31,5000 x 6% commission = $1,890
Agreed to reduce commission by 20%…$1,890 x 20% = $378 Reduction
$1,890 - $378 = $1,512 COMMISSION