You purchased your home on May 31 2019, before the pandemic struck. The home cost $650,000 and you paid the traditional 20% down. You financed the purchase with a 15-year fixed-rate mortgage. The original loan amount was the rate on the loan was 5.75% per year, compounded monthly. The first of the (monthly) mortgage payments was due on June 30, 2019.

a) What is the effective annual rate of this loan?

b)  What were the monthly payments due on the original mortgage?  (Answer as a positive number, do not round intermediate calculations)

In May of 2020, your finances required you to take advantage of a government program that allows you to suspend mortgage payments, and do so for 12 full months (i.e you make no payments between May of 2020 through April 2021).  This is done with the understanding that interest will continue to accrue, and you may be required to make additional payments.
 
c)  What is the balance of your mortgage after your payment at the end of April 2020.

d)  What is the balance of your mortgage at the end of March 21 (one month before you are to pay your first payment).

e) If you want to payoff your mortgage by the same date you'd originally planned, what would be your new payment?

f)  If you continue making the original payment you calculated in a) and the first payment after you restart is April 2021, would your final mortgage payment be earlier, later or the same date relative to your original payoff date?