Let me clarify my position a bit more: I do not currently have the money to pay off the house. Not even close:
Cash: $45k
Ibonds: $30k
Brokerage: $14k
Retirement: $120k
Will be maxing 401k/tIRA moving forward @ $75k/year. The remainder of my investable income will either go to brokerage or mortgage reduction or some combination of the two.
So you've got $200K now and you want to get to $1.3M, although along the way you could choose to pay down some of the mortgage to reduce your stash requirement.
If you're putting in 6,250/mo you should hit $1.3M in:
161 months at a 1% return
137 months at a 3% return
120 months at a 5% return
107 months at a 7% return
97 months at a 9% return
89 months at an 11% return
You would like to retire in 5-7 years, but that's at the mercy of the stock market really since you have so little invested. According to these numbers I think it is a stretch for you to retire in 5-7 years unless you contribute more than $75K, and from that point of view you definitely
do not want to pay down the house - that's the 120-month plan.
I'm ignoring the fact that your house will get paid down some during this time period with my super-simple calculations, so my quick back-of-the-napkin estimates are probably overstated a bit.
Not to brag, but I'm at about $1.1M of my goal of $1.5M+ and staring at $50K left on my mortgage. With only $400K to go and lots of money accumulating, I can afford a 5% return and hit my goal in about 5 years, so I take less risk. $1.5M is my minimum where I start to think about working part time for a couple of years, not necessarily my early retirement moment. Since you are trying to catch up, you want your money to compound and should take on more risk. If the stock market stumbles you will have to wait longer, but if it comes back after this recession maybe you will hit your goal.