You want to buy a house in Whittier CA that costs $1,067,000. You have a down payment equal

to 23% of that price, and you have found a bank that will loan you the remainder (ignore closing

costs, property taxes, etc..). The interest rate on this mortgage is 4.75% p.a. with monthly

compounding (APR), this rate is fixed for 30 years, and payments on the loan are made monthly

(in arrears, as with most mortgages). Assume that you will take out the loan on October 1st, 2020.

What is your monthly mortgage payment? ($4,285.80) On what date is the first payment due and

on what date is the last one due?

Please show formulas.