First Time Buyer: Buy House In Cash Or Take Out A Loan?

I’m in a fortunate but unique situation. My wife and I have been looking daily for the past 6 months or so and an opportunity came up in a neighborhood we love and below our initial price-point.
I run a business and am in year 3; first year, business did 200k in gross revenue, second year, $2.5m in revenue/$1m in profit and on pace to do $2.5-3m this year. My AGI last year was just under $500k.
The house we are looking at is $1.06m. Right now, I probably put have $30-50k liquid with another ~$300k invested. My business maintains a healthy cash position (I am 50% owner).
I’m very fortunate to have graduated from college with zero debt. My dad is quite well off and I’ve never “needed” for anything but he made sure I understood the value of a dollar growing up.
Initially, we were looking at houses in the $1.3-1.5 range but I wouldn’t want to carry PMI with a loan that big so it’s not an option to go sub 20% in that range.
Here are my options —
I’d absolutely be able to stomach 5% down + PMI and hefty overpayments in the first year to hit 20% (quite confident I can do this) and remove PMI the first opportunity it makes sense. Not sure it matters, my wife and I have zero debt aside from 10-15k in student debt for her and our leased vehicles; both being paid by my companies but debt is in our names.
Pull 20% from my business but that would be at a major cost as my partner would want to pull. Paying the $300-$500 PMI monthly is the opportunity cost I’m willing to pay to allow my business to continue to grow with our organic capital.
Ask my dad to buy the house in cash and I take a mortgage to pay him back. This is what I’d prefer but I genuinely have zero clue how that would work with a bank.
I’m curious if anyone can shed some light on the process of buying a house in cash and getting a loan after, or putting sub 20% on a home, does that make it a less attractive offer if the only contingencies are in the disclosure and inspections?
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