Now that you know how to calculate the current value or potential purchase price on the property...let's talk about determining ARV on this asset. 1) Do a complete rent comp analysis to determine if there is room to push the rents higher2) If there is room to increase rents...then you can start to determine what the value of the property would be after increasing the rents. 3) This will then allow you to back track to determine how much you would be willing to spend per door on CapEx improvements to achieve the rent premium.

This section prescribes rules for tracing debt proceeds to specific expenditures.Treas Reg §1.163-8T(a)(4)Treatment of interest expense(i)General ruleExcept as otherwise provided in paragraph (m) of this section (relating to limitations on interest expense other than the passive loss and nonbusiness interest limitations), interest expense allocated under the rules of this section is treated in the following manner:(A) Interest expense allocated to a trade or business expenditure (as defined in paragraph (b)(7) of this section) is taken into account under section 163(h)(2)(A);(B) Interest expense allocated to a passive activity expenditure (as defined in paragraph (b)(4) of this section) or a former passive activity expenditure (as defined in paragraph (b)(2) of this section) is taken into account for purposes of section 469 in determining the income or loss from the activity to which such expenditure relates;(C) Interest expense allocated to an investment expenditure (as defined in paragraph (b)(3) of this section) is treated for purposes of section 163(d) as investment interest;(D) Interest expense allocated to a personal expenditure (as defined in paragraph (b)(5) of this section) is treated for purposes of section 163(h) as personal interest; and(E) Interest expense allocated to a portfolio expenditure (as defined in paragraph (b)(6) of this section) is treated for purposes of section 469(e)(2)(B)(ii) as interest expense described in section 469(e)(1)(A)(i)(III).Treas Reg §1.163-8T(c)(4)Allocation of debt; proceeds deposited in borrower's account(i)Treatment of depositFor purposes of this section, a deposit of debt proceeds in an account is treated as an investment expenditure, and amounts held in an account (whether or not interest bearing) are treated as property held for investment.

"The $13,168.84 figure is calculated as follows: $18,000 assessed value x 3.23 date of death CLR = $58,140 property value x 15% collateral tax rate as the property went to the unrelated LLC. = $8,721.00 tax liability.

Following the BRRRR - Is there a limit to how many properties I can refinance similar to how investor can only get 10 conventional loans? 

As this will be an owner occupied loan, you need to follow some guidelines, start by finding an RMLO, registered mortgage loan officer, licensed.This of course is not a typically great, risk free deal for you.

One 2 Bd apt. and two houses, 5 bed's each.Financing Approach:80% Bank20% 10% down payment10% seller financing - terms to be negotiatedAnnual Financials:-5% vacancy (the market is emerging and vacancy is very low - we know this because we own a 4-unit in the same area, purchased from the same seller)-Rent roll: $55,800 - can be pushed up by $4,800 conservatively after rehabbing-Property Taxes: $4,277 -Insurance: $1,619-Maintenance / Capex: $11,160 (projected - 20% of rents)-Water / Sewer / Utilities: $6,200-Property Management: $3,600 In summary:At purchase:-$55,800 gross income-$21,903 total expensesPro-forma:-$60,600 gross income-$22,529 total expenses We want to get your thoughts on this deal.

Turns out another tenant in the building has suddenly started with the same type of behavior, trying to push lease terms, and trying to dictate when we can send our service guys in, always on their terms, never meeting half way. 

Follow it up with research.After you have studied, met connections through meet ups naturally, and got your self financial sound, start to look for investments.

A few follow up questions:What did you rent it for?

While my experience is limited, it sounds like setting up a set of good criteria for tenants and then following them without exception is one of the best ways to avoid problems.