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My rental property which is a 4-plex brings in 2.6% a month of the initial purchase price. This means in a perfect world I could pay it off in 39 months but that does not take into account the cost of taxes insurance and upkeep. I will not look at property unless it pulls in at least 2% a month of the original cost. I am lucky that were I live rent is high and house cost is somewhat cheap.
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Am I correct in assuming that your scenario only applies to something like a 4-plex or a triplex as I could not see it working for a single family home.
Example in my area a 3-4 bedroom home might go for $300k. So with your 2.6% per month scenario the rent would need to be $7,800 per month, at 2% the rent would need to be $6,000 per. Both are just silly numbers as a single family home might rent for $2,300-2,500 per month.
Another example my friend just picked up a small two bedroom in an upstate community for $67.5K so under your scenario it would need to rent for $1,350 per month in an area where rents might be $650. My Ins broker has 14 rentals with most being Section 8 and he would never see 2% per month based on the avg cost of properties.