4. Consider a 25-year fixed-rate mortgage for $250,000 at a nominal rate of 10%. If the borrower pays an additional $300 with each payment, how fast will the mortgage be paid off?
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- Consider a 15 year, fixed rate mortgage for $150,000 at a nominal rate of 8%. The loan comes with a facility to pay end of year installments. What is the duration of the loan? If interest rates increase to 8.25% immediately after the mortgage is made, how much is the loan worth to the lender?9) Mortgage Payment You take out a 20-year fixed mortgage. The annual interest rate is ? = 0.10 and the monthly payment is $4,000. a. What is the total amount of this Mortgage? E.g., What is the PV of this mortgage payment stream? b. If you make an additional payment of $4,000 in period t=1 and period t=2, how long will it take to repay the mortgage?Suppose you take out a $117,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 5%. To keep things simple, we will assume you make payments on the loan annually at the end of each year. a. What is your annual payment on the loan? b. Construct a mortgage amortization. c. What fraction of your initial loan payment is interest? d. What fraction of your initial loan payment is amortization? e. What is the total of the loan amount paid off after 10 years (halfway through the life of the loan)? f. If the inflation rate is 3%, what is the real value of the first (year-end) payment? g. If the inflation rate is 3%, what is the real value of the last (year-end) payment? h. Now assume the inflation rate is 6% and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? i-1. Recompute the amortization table. i-2. What is the real value of the first (year-end) payment in this high-inflation scenario? j. What is the real value of the last…
- Suppose you have a $175,000 30-year mortgage with a 4.5% interest rate on the loan. c. If you pay $975 per month on your mortgage instead, in how many years will you pay off the loan?a. What will be the monthly payment on a 30-year, $250,000 mortgage loan, where the interest rate is 6% per year, compounded monthly? How much interest is paid over the life of the loan? b. What will be the monthly payment on a 30-year, $250,000 mortgage loan, where the interest rate is 6% per year, compounded continuously? How much interest is paid over the life of the loan? c. What will be the monthly payment on a 15-year, $250,000 mortgage loan, where the interest rate is 6% per year, compounded monthly? How much interest is paid over the life of the loan?1. You have just obtained a commercial mortgage for $6.25M with a 5-year term, 25-year amortization period and 6.50% mortgage interest rate. (a) Construct an amortization table for the term of the loan assuming annual payments. What is the annual payment? What is the balance at maturity? (b) What is the e¤ective cost of borrowing if the borrower pays an origination fee of $30,000? (c) The borrower can repay the balance of the loan at any time prior to its maturity, but must pay a penalty of 5% of the outstanding balance. What is the cost of borrowing if the borrower pays an origination fee of $30,000 and pays off the remaining balance of the loan after making payments for 4 years?
- Assume a variable - rate mortgage of 500,000 with j 12 = 4%, amortized over 25 years with monthly payment. The term is 5 years. Now 2 years into the term, the borrower is thinking of refinancing it. How much would be the refinancing costs?Suppose you have a $175,000 30-year mortgage with a 4.5% interest rate on the loan. If you pay $975 per month on your mortgage instead, in how many years will you pay off the loan?3. A) What would be the monthly payment on a 15 year mortgage of $200,000 with an APR of 12.3% compounded monthly? 12 B) If you could only afford to pay half of that amount, how long would it take to pay off the mortgage?
- Please show working You get a 15 year, 3.5% fixed-rate mortgage with one point, borrowing $300,000. a. what are your initial payments? b. what is the loan’s APR? c. suppose you prepay after 5 years, what is the outstanding loan balance? d. if you do prepay after 5 years, what is the effective annual rate?3. Suppose you decide to purchase a $150000 home for $20000 down. A down payment is subtracted from your home’s value and therefore you owe $130000. Well to pay for this amount you will need a loan, so $130000 is the principal on your loan. Suppose the interest rate on a 30 year mortgage is 4.5%. What will your monthly payment be? Create an amortization table for this loan. How much will you pay on the loan if you pay off the loan asConsider a mortgage of 180,000. What is the payment if it has a 15 year fixed rate at 3.5% with closing costs of 1600 and 1 point? What is a 15 yr fixed rate at 3.25% with closing costs if 1600 and 5 points?