<prompt> Human: First time home buyer here, looking at a 165k house with a conventional loan I have the following options and Im comfortably able to do them all with a 4.25 30 year conventional:1 5 Down 8250, PMI One-Time Premium 3370 2.15 of the principal mortgage - 1567402 10 Down 16500, PMI One-Time Premium 2034 1.37 of the principal mortgage - 1320003 20 Down 33000, No PMIOver the past 2 years my personal investments have gained an average of 25 so I ran some numbers to see how much initial money I would save upfront that I could then reinvest in hopes of beating the PMI payment out down the road. Heres what I came up with for the Required Rate of Return on my cash savings in the first year of investment:Option 1: 16 RoROption 2: 14 RoRI feel like Im missing out on some valuable pieces of information for this analysis to be completely accurate, but if these are the RoRs and I can get at LEAST that return in one year, imagine how much Ill come ahead by reinvesting the 15 I saved on a non-PMI 20 down.Please shed some light on this!  <response>: The main reason is on the bottom of every single piece of marketing you will ever see about investments...past performance is no guarantee of future results 