Real Estate Math

Robin bought her home 5 years ago for $190,000. She sold it for $199,000. How much did the house appreciate?

A lot purchased 5 years ago for $100,000 has appreciated 10% total. How much per year did it appreciate?

A house sold for $450,000 which was 2% less than the original cost. What was the original cost?

A house sold for $275,000 which was 9% less than the original cost. What was the original cost?

A lot purchased 5 years ago for $100,000 has appreciated 10% total. How much per year did it appreciate?

A house sold for $275,000 which was 9% less than the original cost. What was the original cost?

A house sold for $450,000 which was 2% less than the original cost. What was the original cost?

Blake bought his home 5 years ago for $115,000. He sold it for $145,000. What is the annual rate of appreciation?

A house was sold for $355,000 which was 8% more than the original cost. What was the original cost?

Robin bought her home 5 years ago for $190,000. She sold it for $199,000. How much did the house appreciate?

Blake bought his home 5 years ago for $115,000. He sold it for $145,000. What is the annual rate of appreciation?

A house was sold for $355,000 which was 8% more than the original cost. What was the original cost?

What is the price per front foot for a 50' wide x 100' long lot that sold for $75,000?

A lot in a subdivision is being sold for $8.00 per square foot. It is 200 feet wide and 400 feet deep. How much does the lot cost?

What is the price per front foot for a 100' wide x 125' long lot that sold for $125,000?

What is the price per front foot for a 100' wide x 125' long lot that sold for $125,000?

A lot costs $300,000. It is 100 feet wide and 150 feet deep. How much is the price per square foot?

A man died without a will and with no sur- viving relatives. His four-acre farm will

A lakefront property sold for $550,000 with 550 feet of lake frontage. About how much did it sell per front foot?

A lakefront property sold for $550,000 with 550 feet of lake frontage. About how much did it sell per front foot?

A lot costs $300,000. It is 100 feet wide and 150 feet deep. How much is the price per square foot?

What is the price per front foot for a 50' wide x 100' long lot that sold for $75,000?

A lot in a subdivision sells for $5.00 per square foot. It is 100 feet wide and 120 feet deep. How much does the lot cost?

A lot purchased 25 years ago for $40,000 has appreciated 45% total. What is it worth today?

A lot measures 150 feet by 200 feet. How many acres is this?

A lot in a subdivision is being sold for $8.00 per square foot. It is 200 feet wide and 400 feet deep. How much does the lot cost?

A lot in a subdivision sells for $5.00 per square foot. It is 100 feet wide and 120 feet deep. How much does the lot cost?

Jane learns that a lakefront property sold for $700,000 with 400 feet of lake frontage. About how much per front foot?

Jane learns that a lakefront property sold for $700,000 with 400 feet of lake frontage. About how much per front foot?

A lot purchased 25 years ago for $40,000 has appreciated 45% total. What is it worth today?

A house sells for $495,000 and contains 2,550 square feet. What is the price per square foot?

A house sells for $360,000 and contains 2,550 square feet. What is the price per square foot?

How many square feet are in a lot containing 1.50 acres?

A rectangular lot measures 90 feet by 110 feet. What is the lot area in square feet?

A property has an L-shaped floor plan. The main section is 40 feet by 30 feet, and the wing is 20 feet by 15 feet. What is the total living area?

How many square feet are in a lot containing 1.75 acres?

A rectangular lot measures 120 feet by 110 feet. What is the lot area in square feet?

A house sells for $405,000 and contains 2,550 square feet. What is the price per square foot?

How many square feet are in a lot containing 2.00 acres?

A rectangular lot measures 135 feet by 110 feet. What is the lot area in square feet?

A house sells for $450,000 and contains 2,550 square feet. What is the price per square foot?

How many square feet are in a lot containing 1.00 acre?

A rectangular lot measures 150 feet by 110 feet. What is the lot area in square feet?

A warehouse is 80 feet long, 50 feet wide, and 20 feet high. What is the volume of the warehouse in cubic feet?

A trapezoid-shaped lot has a frontage of 100 feet, a rear width of 140 feet, and a depth of 160 feet. Using the average-width method, what is the lot area?

How many square feet are in a lot containing 1.25 acres?

A rectangular lot measures 105 feet by 110 feet. What is the lot area in square feet?

A house sells for $540,000 and contains 2,550 square feet. What is the price per square foot?

A triangular lot has a base of 200 feet and a height of 150 feet. What is the area of the lot?

A lot contains 65,340 square feet. How many acres is this?

During a listing agreement, a 6% commission is established. The house sells for $450,000. What is the commission?

A house sells for $280,000. The commission check to the broker is $16,800. What percentage did the broker receive?

A property sells for $300,000. You handled the sale and get 40% of what your broker receives. The broker received $18,000. How much do you earn?

A home you listed sells for $400,000. Your broker receives 6% and you receive 45% of their check. How much do you receive?

An agent received 35% share of 3% gross commission. The salesperson received $4,500. What did the property sell for?

A house sells for $280,000. The commission check to the broker is $16,800. What percentage did the broker receive?

A property in Arizona sells for $400,000. If the agent earns 3% on the first $100,000 and 2.5% on the remainder, what is the total commission?

A broker earns 5% commission on a $600,000 sale. If the listing broker gets 60%, how much do they receive?

A property sells for $300,000. You handled the sale and get 40% of what your broker receives. The broker received $18,000. How much do you earn?

Any individual may contact the Real Estate Commissioner to:

A subdivider needs to give a copy of the Real Estate Commissioner’s public report to:

A home you listed sells for $400,000. Your broker receives 6% and you receive 45% of their check. How much do you receive?

A 6% commission on a $250,000 sale equals:

An agent received 35% share of 3% gross commission. The salesperson received $4,500. What did the property sell for?

The broker represents both buyer and seller with 5.25% commission rate and received $8,000. What was the final sales price?

An agent lists a seller's house for 5% commission. The final sales price is $255,000. How much commission did the seller pay?

An agent receives 50% share of a 3% gross commission. The property sold for $350,000. How much commission will the agent receive?

A 6% commission is established. The house sells for $2,800,000. What is the commission?

The Real Estate Commissioner’s rules:

An agent lists a seller's house for 5% commission. The final sales price is $255,000. How much commission did the seller pay?

A seller closes on a property for $320,000. The commission is 6%, other seller closing costs are $5,000, and the existing mortgage payoff is $170,000. What are the seller's net proceeds before any tax effects?

A seller wants to net $250,000 after paying a 6% commission and has no other closing costs to consider. What sale price is needed?

A broker charges a graduated commission: 6% on the first $200,000 of the sale price and 4% on the amount above $200,000. If a property sells for $350,000, what is the total commission?

An agent received $7,200 as her share of a commission. She has a 60/40 split with her broker (agent gets 60%). What was the total commission paid to the brokerage?

A seller closes on a property for $500,000. The commission is 6%, other seller closing costs are $4,500, and the existing mortgage payoff is $150,000. What are the seller's net proceeds before any tax effects?

A broker earns a total commission of $18,000 on a sale. If the commission rate was 6%, what was the sale price of the property?

A seller wants to net $350,000 after paying a 6% commission and has no other closing costs to consider. What sale price is needed?

A property sells for $415,000 at a commission rate of 5.0%. What is the total commission?

A property sells for $380,000 with a 6% commission split equally between the listing broker and the selling broker. The listing agent receives 55% of the listing broker's share. How much does the listing agent earn?

A property sells for $460,000 with a 6% commission split equally between the listing broker and the selling broker. The listing agent receives 65% of the listing broker's share. How much does the listing agent earn?

A seller closes on a property for $410,000. The commission is 6%, other seller closing costs are $5,500, and the existing mortgage payoff is $190,000. What are the seller's net proceeds before any tax effects?

A seller wants to net $400,000 after paying a 5% commission and $6,000 in other closing costs. What minimum sale price is needed?

A seller wants to net $300,000 after paying a 6% commission and has no other closing costs to consider. What sale price is needed?

A property sells for $310,000 at a commission rate of 5.5%. What is the total commission?

A property sells for $275,000 at a commission rate of 6.0%. What is the total commission?

A seller wants to net $325,000 after paying a 6% commission and has no other closing costs to consider. What sale price is needed?

A property sells for $300,000 with a 6% commission split equally between the listing broker and the selling broker. The listing agent receives 60% of the listing broker's share. How much does the listing agent earn?

A property sells for $380,000 at a commission rate of 5.5%. What is the total commission?

A seller closes on a property for $550,000. The commission is 5%, other seller closing costs are $8,200, and the existing mortgage payoff is $230,000. What are the seller's net proceeds before any tax effects?

A property sells for $425,000 with a 5% commission. The commission is split 55% to the listing broker and 45% to the selling broker. The listing agent receives 70% of the listing broker's share. How much does the listing agent earn?

The period of time a structure continues to earn sufficient income to continue operations is referred to as the structure’s:

A property's value is $150,000 today. What was the original cost if it lost 25% of value over ten years?

A property’s cost basis is most affected by an owner’s:

A property's value is $91,000 today. What was the original cost if it lost 35% of value over five years?

A property's value is $91,000 today. What was the original cost if it lost 35% of value over five years?

A property's value is $150,000 today. What was the original cost if it lost 25% of value over ten years?

If Amanda's gross income is $8,550 monthly, she would need to spend less than ___ in total household debt to qualify for most loans (using 28/36 rule).

If a bank makes a 90% loan on a house valued at $88,500, how much cash is required at closing if the buyer already paid $4,000 in earnest money?

If Amanda's gross income is $8,550 monthly, she would need to spend less than ___ in total household debt to qualify for most loans (using 28/36 rule).

Using the 28/36 rule, if Marty's gross income is $5,500 monthly, he needs to spend less than ___ in housing costs to qualify for most loans.

Using the 28/36 rule, if Marty's gross income is $5,500 monthly, he needs to spend less than ___ in housing costs to qualify for most loans.

What is the interest rate on a $150,000 loan requiring an annual interest payment of $6,500?

What is the interest rate on a $200,000 loan requiring an annual interest payment of $8,000?

The annual percentage yield (APY) applies to:

What is the interest rate on a $200,000 loan requiring an annual interest payment of $8,000?

Which of the following is of least interest to an appraiser?

Which of the following instruments does NOT transfer an interest in real property?

The degree, quantity, or nature of a person’s interest in real property is called his

If a bank makes an 85% loan on a house valued at $120,000, how much cash is required at closing if the buyer already paid $8,000 earnest money?

If a bank makes an 85% loan on a house valued at $120,000, how much cash is required at closing if the buyer already paid $8,000 earnest money?

In a deed that states “to Jonathon for his life,” the grantor has what type of interest?

If a bank makes a 90% loan on a house valued at $88,500, how much cash is required at closing if the buyer already paid $4,000 in earnest money?

What is the annual interest rate on a $300,000 loan requiring a monthly interest payment of $500?

A buyer obtains a loan for $200,000 at 6% annual interest. What is the monthly interest payment for the first month?

All of the following are sufficient to transfer an interest in real estate, except:

What is the annual interest rate on a $300,000 loan requiring a monthly interest payment of $500?

Find the annual GRM for a 10-unit building in Dallas Texas with asking price of $5,000,000 and gross annual rents of $225,000.

Find the annual GRM for a 4-unit building in Detroit Michigan with an asking price of $300,000 and gross annual rents of $25,000.

Find the annual GRM for a 10-unit building in Dallas Texas with asking price of $5,000,000 and gross annual rents of $225,000.

If a buyer and seller decide to rescind a deal after the deed has been recorded, the buyer is to:

Find the annual GRM for a 6-unit building in Buffalo New York with an asking price of $850,000 and gross annual rents of $55,000.

Find the annual GRM for a 4-unit building in Detroit Michigan with an asking price of $300,000 and gross annual rents of $25,000.

Which of the following BEST defines real property?

A property has an NOI of $50,000 and a cap rate of 5%. What is the value?

The return of land to the grantor or grant- or’s heirs when the grant is over is BEST described as

Find the annual GRM for a 6-unit building in Buffalo New York with an asking price of $850,000 and gross annual rents of $55,000.

If a property has a net operating income of $60,000 and sells for $750,000, what is the capitalization rate?

An investment property has a net operating income of $36,000 and a cap rate of 8%. What is the property value?

Calculate GRM for a 9-unit building: $500,000 price, $75,000 annual rent.

An investor purchases a property for $800,000 with $200,000 cash down. The annual pre-tax cash flow after debt service is $24,000. What is the cash-on-cash return?

A rental property generates $3,600 per month in gross rent. Annual operating expenses total $18,000. What is the annual net operating income (NOI)?

A property produces annual NOI of $57,000 and is purchased for $770,000. What is the capitalization rate?

A property has an annual net operating income of $54,000 and a market capitalization rate of 6.5%. What value indication does direct capitalization produce?

A property has an annual net operating income of $48,000 and a market capitalization rate of 6.5%. What value indication does direct capitalization produce?

An investor puts $110,000 of cash into a property and expects annual pre-tax cash flow of $18,000. What is the cash-on-cash return?

A property has an annual net operating income of $36,000 and a market capitalization rate of 6.5%. What value indication does direct capitalization produce?

An investor is valuing a small rental property listed at $720,000 that produces gross monthly rent of $3,400. What is the gross rent multiplier (GRM)?

A property has an annual net operating income of $42,000 and a market capitalization rate of 6.5%. What value indication does direct capitalization produce?

A property produces annual NOI of $47,000 and is purchased for $630,000. What is the capitalization rate?

An investor is valuing a small rental property listed at $660,000 that produces gross monthly rent of $3,150. What is the gross rent multiplier (GRM)?

An investor is valuing a small rental property listed at $600,000 that produces gross monthly rent of $2,900. What is the gross rent multiplier (GRM)?

A property produces annual NOI of $62,000 and is purchased for $840,000. What is the capitalization rate?

A property produces annual NOI of $42,000 and is purchased for $560,000. What is the capitalization rate?

A property has an annual net operating income of $60,000 and a market capitalization rate of 6.5%. What value indication does direct capitalization produce?

A 4-unit building has a GRM of 180 based on comparable sales. Each unit rents for $1,250 per month. What is the estimated value of the building using the GRM method?

An investor is valuing a small rental property listed at $480,000 that produces gross monthly rent of $2,400. What is the gross rent multiplier (GRM)?

A property produces annual NOI of $52,000 and is purchased for $700,000. What is the capitalization rate?

An investor is valuing a small rental property listed at $540,000 that produces gross monthly rent of $2,650. What is the gross rent multiplier (GRM)?

An investor wants to buy a property that produces $72,000 annual NOI. The investor requires a minimum 8% cap rate. What is the maximum price the investor should pay?

A borrower pays $4,500 in total interest for the first year on an interest-only loan. If the annual interest rate is 4.5%, what is the loan amount?

A lender offers a $320,000 loan. The borrower must pay a 1% origination fee plus 1.5 discount points. What is the total upfront cost of these fees?

A buyer purchases a $500,000 property with 20% down. The lender charges a 1% origination fee and 2 discount points on the loan amount. How much does the buyer owe in total upfront loan fees?

A borrower's monthly interest payment is $1,500 on an interest-only loan at 6% annual interest. What is the outstanding loan balance?

What is the monthly interest on an interest-only loan of $450,000 at an annual rate of 6.0%?

A lender will make a loan at 80% loan-to-value on a property priced at $280,000. What is the loan amount?

A borrower takes out a loan for $270,000 and pays 3 discount points at closing. How much do the points cost?

What is the monthly interest on an interest-only loan of $350,000 at an annual rate of 5.0%?

A lender will make a loan at 85% loan-to-value on a property priced at $480,000. What is the loan amount?

A buyer is purchasing a property for $500,000 with a loan at 90% LTV. How much is the required down payment?

A borrower takes out a loan for $180,000 and pays 1 discount point at closing. How much do the points cost?

What is the monthly interest on an interest-only loan of $250,000 at an annual rate of 5.5%?

A lender will make a loan at 90% loan-to-value on a property priced at $380,000. What is the loan amount?

A buyer is purchasing a property for $420,000 with a loan at 80% LTV. How much is the required down payment?

A borrower takes out a loan for $360,000 and pays 2 discount points at closing. How much do the points cost?

A buyer is purchasing a property for $350,000 with a loan at 80% LTV. How much is the required down payment?

A borrower has a $240,000 loan at 6% annual interest. The monthly payment is $1,438.92. How much of the first month's payment goes to interest?

A property is appraised at $400,000 and the purchase price is $380,000. If the lender uses the lower value for LTV purposes and offers 90% LTV, what is the maximum loan amount?

A borrower takes out a $300,000 loan and pays 2.5 discount points at closing. How much do the points cost?

A borrower has a $200,000 loan at 5.5% annual interest. The monthly payment is $1,135.58. After the first payment, how much principal has been paid?

A property generates a gross rent multiplier (GRM) of 120 in its market. If a similar property has monthly gross rent of $2,800, what is the estimated property value using the GRM method?

A buyer purchases a home for $375,000 with a 20 percent down payment. The lender charges 2 points on the loan amount. How much does the buyer pay in points?

A property's value increased from $250,000 to $275,000 over two years. What is the total dollar amount of appreciation?

A property's market value is $400,000. The assessment ratio is 80 percent. The tax rate is $3.50 per $100 of assessed value. What is the annual property tax?

A rectangular lot measures 150 feet by 200 feet. What is the area in square feet?

A real estate agent earns a total commission of $15,000 on a sale. If the commission rate was 5 percent of the sale price, what was the sale price?

An investor buys a duplex for $320,000. Each unit rents for $1,200 per month. Annual expenses total $12,000. What is the investor's annual cash-on-cash return if they made a $64,000 down payment and annual debt service is $15,600?

A broker lists a property and negotiates a 7 percent commission. The property sells for $425,000. The listing broker splits the commission 50/50 with the selling broker. The selling agent receives 70 percent of the selling broker's share. How much does the selling agent earn?

Property taxes are $5,475 per year. A property closes on March 20. Using a 365-day year and the day of closing belonging to the buyer, how many days of taxes does the seller owe?

A property is purchased for $200,000 and sold five years later for $250,000. What is the total appreciation as a percentage of the original purchase price?

A closing occurs on September 15. The seller prepaid annual property taxes of $7,300 on January 1. Using a 365-day year and the day of closing belonging to the buyer, how much does the buyer owe the seller for the tax proration?

An investment property generates $42,000 in annual net operating income. An investor wants a 7 percent return. Using the income capitalization approach, what is the property's value?