Ok, I'll bite.
10 year renter
$1,300/mo for 10 years = -$156,000
10 year home owner
$230k purchase price of house, 20% down (~$900 per month payment)
$4,500 annual property taxes
$1,000 annual homeowners insurance
Total monthly payment = $1,360
Down payment = -$46,000
$1,360/mo mortgage payment for 10 years = -$163,000
Repairs/Maintenance = -$30,000
Total interest paid = approx. $67,000
Total property taxes paid = $45,000
Tax benefits = +$39,000
Mortgage balance after 10 years = $148,000
House sold = $260,000
Realtor/selling fees, 7% = -$18,000
Net = $242,000
Balance owed = $148,000
Net gained = +$94,000
Total Ownership Cost = -$46k (down payment) + -$163,000 (monthly payments) + -$30,000 repairs + $39,000 (tax benefits) + $94,000 (house sold) = -$106,000
Summary
Renter = $156,000 loss or $1,300/mo for 10 years
Homeowner = $106,000 loss or $883/month
$417/mo savings by owning a home or $50,000 over 10 years. Pretty good savings of 32% for home ownership over renting.
A few things not included:
1. Average home appreciate is 2.5-3% per year. At 2.5%, the home would be worth $294,000 and not the $260,000 you used. That would be another $34,000 advantage for the home. Or another $283/mo savings which would make the home ownership option worth $84,000 more than the renting option.
2. There is almost a 0% chance your home loses $50,000 (or 20%) in value over a 10 year period.
3. You don't control how much your rent will increase. And it's a guarantee that it will. Your mortgage payment will never increase and your property taxes and insurance will only marginally increase over time.