You wish to buy a house. The market value of the house is $650,000 and you have saved $120,000 as a deposit. (i) What are your monthly repayments if the loan is for 30 years to be repaid on a monthly basis and the interest rate on the loan is 7% per annum nominal? (ii)What is the total amount of interest you expect to pay on the loan? Suppose that after 4 years, interest rates fall to 6.5% per annum nominal. If you re-finance loan, how much will you save in interest payments? Also assume that the new loan will for a period of 26 years.
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Please explain part b of the question step by step through formula, not excel
Step by step
Solved in 3 steps
- B. Suppose you want to buy a rent to own house worth P450,000. You made a down payment of 15% of the purchase price and take a 25 year mortgage for the balance. a. What is your down payment? b. What is your mortgage amount? c. What is the total interest charged over the life of the loan if your monthly payment is P2,200? Solve manually.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 want to buy a rent to own house worth P450,000. You made a down payment of 15% of the purchase price and take a 25 year mortgage for the balance. a. What is your down payment? b. What is your mortgage amount? c. What is the total interest charged over the life of the loan if your monthly payment is P2,200?
- 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 asa. 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?Suppose you purchase a home and obtain a 15-year fixed-rate loan of $195,000 at an annual interest rate of 6.0%. a) What is your monthly payment? N: months I %: P.V: $ PMT: $ F.V: 0 P/Y: 12 C/Y: 12 b) Of the first month's mortgage payment, how much is interest? HINT: I=Prt Interest: I=$ c) Of the first month's mortgage payment, how much is applied to the principal? HINT: PMT - Interest Amount Applied to Principal: $ d) How much is your outstanding balance after the first month’s payment? HINT: Principal - Amount Applied to Principal Outstanding Balance after first payment: $
- Suppose you are buying your first home for $210,000, and you have $15,000 for your down payment. You have arranged to finance the remainder with a 30-year, monthly payment, amortized mortgage at a 6.5% nominal interest rate, with the first payment due in one month. What will your monthly payments be? Select the correct answer. a. $1,231.53 b. $1,233.53 c. $1,232.53 d. $1,234.53 e. $1,230.53ii) Suppose one estimates that they can afford to repay £1200 a month for 25 years on a mortgage. Interest is calculated at 4.3% p.a., payable monthly. How large a mortgage can the individual afford?A man plans to take a vacation in 4 years. He wants to buy a certificate of deposit for $1200 that he will cash in for the trip. What is the minimum annual interest rate he must obtain on the certificate if he needs at least $1700 for the trip? Assume that the interest on the loan is computed using simple interest The rate he must obtain is ___%
- (Q) You would like to purchase a home and are interested to find out how much you can borrow. When your lender calculates your debt to income ratio, he determines that your maximum monthly payment can be no more than $3, 200. You would like to have a 30 year fully amortizing loan and the interest rate offered on such a loan is currently 8.5%. Given these constraints, what is the largest loan you can obtain?You have just made an offer on a new home and are seeking a mortgage. You need to borrow $620,000. a. The bank offers a 30-year mortgage with fixed monthly payments and an interest rate of 0.53% per month. What is the amount of your monthly payment if you take this loan? b. Suppose you take the 30-year mortgage described in part (a). How much will you still owe on the mortgage after 10 years? a. The bank offers a 30-year mortgage with fixed monthly payments and an interest rate of 0.53% per month. What is the amount of your monthly payment if you take this loan? Your monthly payment will be $nothing. (Round to the nearest cent.) b. Suppose you take the 30-year mortgage described in part (a). How much will you still owe on the mortgage after 10 years? The remaining loan amount will be $nothing. Suppose a bank offers you an 8% interest rate on a 30-year mortgage to be paid back with monthly payments. Suppose the most you can afford to pay in monthly payments is $1800. How much of a mortgage could you afford? Show your work.