Recouping Initial Investment

[Brandon Sturgill]

Is there a basic calculation for the time it take to recoup the initial outlay when purchasing a rental property...for example:

If I buy a SFH at $100,000 with a 25% down payment and $10,000 in costs to ready for a tenant, how long does it take to recoup the initial outlay?

And what about mortgage vs. positive cash flow...say the mortgage payment on the purchase is $800/mo. and the rent is $1,300/mo....nowhere near the 2% rule....and does the fact that the tenant is building equity in the property matter?...or appreciation?