are considering the purchase of a $500,000 home. You plan to take a 30-year fixed mortgage after making a 20% downpayment to avoid PMI. Payments are to be made monthly (at the end of the month) and the APR is 8%. 1. What is the monthly payment? 2. During what month does the principal portion first exceed the interest portion? Are you surprised by your answer? 3. How long does it take to pay off your mortgage if you pay an additional $300 towards principal each payment? 4. How long does it take to pay off your mortgage if you pay an additional amount each month equal to the current month’s principal?.

You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current mortgage. The current monthly payment is $2,356 and you have made every payment on time. The original term of the mortgage was 30 years, and the mortgage is exactly four years and eight months old. You have just made your monthly payment. The mortgage interest rate is 7.500% (APR). How much do you owe on the mortgage today? (Note: Be careful not to round any intermediate steps less than six decimal places.) The amount you owe today is $ (Round to the nearest dollar.)

You have just purchased a home and taken out a $550,000 mortgage. The mortgage has a 30-year term with monthly payments and an annual percentage rate (APR) (with semi-annual compounding) of 6.80%. (Note: Be careful not to round any intermediate steps less than six decimal places.) a. How much will you pay in interest, and how much will you pay in principal, during the first year? b. How much will you pay in interest, and how much will you pay in principal, during the twentieth year (i.e., between 19 and 20 years from now)? a. How much will you pay in interest, and how much will you pay in principal, during the first year? During the first year, you will pay an interest payment of $ (Round to the nearest dollar.) During the first year, you will pay a principal payment of $ (Round to the nearest dollar.)

You are planning to borrow $500,000 on a 20-year fully amortized mortgage. The interest rate is 8% compounded semi-annually. You choose the monthly payment. a. What is the effective monthly rate for calculating the monthly payment?  b. What is your monthly payment? c. How much will you owe the bank in the end of the 5th year. d. What fraction of the payment made at the end of the 12th year will represent repayment of principal?