The formula for calculating the present value of an ordinary annuity is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
With the present value set at 300000
PMT is the amount for monthly payments?
R is the interest rate at 0.059
K indicates monthly compounding, which is 12 as payments are made monthly
N represents the time period of 30 years
To derive the formula for PMT
PMT=pv÷ [(1-(1+r/k)^(-kn))÷(r/k)]
PMT=300,000÷((1−(1+0.059÷12)^(
−12×30))÷(0.059÷12))
=1,779.41