Answer: $1,626
Step-by-step explanation:
A Mortgage payment is a type of annuity so the Present Value of an Annuity formula can be used to calculate this.
The Period is 12 months so adjustments need to be made to the interest rate and the period.
Period.
= 25 years * 12 months
= 300
Interest Rate
= 5.89/12
= 0.4908%
Present Value of the Annuity is the mortgage amount of $255,000
Present Value of Annuity is,
P = PMT ( 1 - ( 1 + r)^-n) / r
Where,
P = Present Value
PMT = payment per period
r = Interest rate
n= no. of periods
255,000 = PMT ( 1 - (1+0.4908%)^-³⁰⁰) / 0.4908%
255,000 = 156.8456 PMT
PMT = 255,000/156.8456
= $1,625.80
= $1,626