Answer:
down payment = home value x 20% = $136,000 x 20% = $27,200
loan = home value - down payment = $136,000 - $27,200 = $108,800
interest rate = 1.1% fixed (given) ≈ 0.09167% per month
duration of loan = 30 years or 360 months
monthly payment = present value of loan / PV annuity factor
PV annuity factor, 360 periods, 0.09167% = 306.5134 (I used an online annuity calculator)
monthly payment = $108,800 / 306.5134 = $354.96