Real Estate Investing Math Applications

Real Estate Investing Math Applications

Residential Real Estate Broker · Payson, AZ · Member since 2009 · 3k+ posts · 1k+ votes

Firstly, if your name is Jon, JScott, Will, Bill or some other name I forgot but you know I'm talking to you. You're NOT allowed to answer the questions but ONLY allowed to correct and inform. Again, you're NOT allowed to give the answer but simply help if they're doing the formula wrong. Correct and inform on the formula but do NOT give the answer :mrgreen:

Here are some math questions that you might find interesting. They're not 'hard' by any means, you just have to make sure you understand the process of the math to get to the right answer.

What I'd like to do is see not only your answer but how you arrived to that answer. Hopefully, this will help you learn/master the process and help those that are still learning.

1: The property tax rate in Nick's area is $9.82 per $100 of assessed value. The assessed value is $9,290. What are Nick's taxes?

2: Nick's property has a market value of $80,000 and is to be insured at 85% of value. The insurance rate is $0.98 per $100 of insurance value for a 3-year period. What is the annual premium?

3: Nick has a home with an assessed value of $39,350. The tax is $12.20 per $100 of assessed value. What are Nick's taxes?

4: The county assesor says the full cash value of a 12,000 sq ft strip center you have listed is $825,000. Annual income is $12/sq. ft/year, minus a 14% vacancy rate and a 3% credit loss. Owner's expenses are: $23,000 property tax and $12,000/year insurance. What is the Cap Rate?

Lastly: My sister owns an apartment complex which rents as follows: 3 - 1br @ $350/mo; 15 - 2br @ $440/mo; 3 - 2br @$495/mo. You determine a 10% vacancy rate and 3% credit losses/year. The annual property tax is $7,300; the insurance is $2,100. She takes $6,500/year depreciation. An investment broker suggest 10.25% Cap Rate. What is your estimate of Value?

You don't have to do all of them if you don't want to. These are questions that I'll be getting tested on when I take my RE licensing exam. I already knew/know the answers but I wanted to give others an example to learn from.

Good luck, don't be scared to be wrong, be scared to NOT try

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Rental Property Investor · Mercer Island, WA · Member since 2008 · 22k+ posts · 14k+ votes
15y

Note that on problem #2, Nick says "$0.98 per $100 of insurance value for a 3-year period." and then asks "What is the annual premium?"

#5 is the same basic calculation as #4. You properly computed the cap rate, Kenneth, from the NOI and value (notwithstanding the insanity of using an assessment as a value). For #5 you know the cap rate and can compute the NOI...

See this reply in the discussion

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  • Investor, Entrepreneur, Educator · Springfield, MO · Member since 2009 · 21k+ posts · 12k+ votes
    15y

    You and another investor find a property to buy for 100K. Your investor is putting down 30K for the down payment. He wants 10% interest on his money. You close the purchase on March 7th and you sell the property September 12th of the same year, what interest is due your investor? Assume a 360 day year for interest accruals.

  • Sharad M.Pro Member
    Carlsbad, CA · Member since 2010 · 1k+ posts · 1k+ votes
    15y
    Originally posted by Financexaminer:
    You and another investor find a property to buy for 100K. Your investor is putting down 30K for the down payment. He wants 10% interest on his money. You close the purchase on March 7th and you sell the property September 12th of the same year, what interest is due your investor? Assume a 360 day year for interest accruals.

    $1,575?

  • Investor, Entrepreneur, Educator · Springfield, MO · Member since 2009 · 21k+ posts · 12k+ votes
    15y
    Originally posted by Sharad M.:
    Originally posted by Financexaminer:
    You and another investor find a property to buy for 100K. Your investor is putting down 30K for the down payment. He wants 10% interest on his money. You close the purchase on March 7th and you sell the property September 12th of the same year, what interest is due your investor? Assume a 360 day year for interest accruals.

    Great! You got it. 189 days (30KX.10%) / 360

    Mortgage interest is calculated based on a 360 day year, not 365.

    $1,575?

  • Investor, Entrepreneur, Educator · Springfield, MO · Member since 2009 · 21k+ posts · 12k+ votes
    15y

    You and your investor friend find another property and buy it for $62,500. There is $1,860 in closing costs. This time, your investor pays half the closing costs with you and loans you $12,000 for the down payment. Instead of interest he wants 25% of the net profits from the sale. You must list the property with a 6% commission. Your closing costs to sell will be $ 860.00 . What must you sell the property for to give your investor $1,800.00? Show your work....

  • Real Estate Investor · Jacksonville, FL · Member since 2010 · 60 posts · 16 votes
    15y

    [ x - (62,500 + 1860) ] * (1 - .06) - 860 = 1800/.25

    x = $72,934

  • Sharad M.Pro Member
    Carlsbad, CA · Member since 2010 · 1k+ posts · 1k+ votes
    15y

    I got a different answer. I got $77,042.

    x = Selling Price

    x - $62,500 - $1,860 - 0.06x - $860 = $7,200
    Solve for x, and I got $77,042.

  • J ScottPro Member
    Moderator
    Investor · Sarasota, FL · Member since 2008 · 18k+ posts · 17k+ votes
    15y
    Originally posted by Sharad M.:
    Jason had the correct answer initially when he said 10, but must have missed something when he tried to figure out how much money in each bag. Here's the right answer.
    http://www.biggerpockets.com/forums/56/topics/62758-a-maths-problem

    I had the correct answer, but my reasoning was completely wrong, so as far as I'm concerned, I didn't have the correct answer! There's no partial credit when it comes to math... :D

    Jon, on the other hand, nailed it...

  • Real Estate Investor in Training · Harrisburg, PA · Member since 2011 · 54 posts · 10 votes
    13y

    any more of these?

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