19. You borrow $1,500,000 to purchase a small apartment building. The lender charges you a 2% up-front fee. If the loan term is 30 years and the interest rate is 5%, what is the mortgage balance at the end of year 5?
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- Calculating interest and APR of installment loan. Assuming that interest is the only finance charge, how much interest would be paid on a 5,000 installment loan to be repaid in 36 monthly installments of 166.10? What is the APR on this loan?Loan Basics Inputs Present value 325,000 Interest rate/year Number of years 4.00% 30 Present Value using a Time Line Year 10 15 20 25 30 Beginning Principal Balance Payment Interest component Principal componentSuppose 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…
- 3. You are purchasing a new home and need to borrow $325,000 from a mortgage lender. The mortgage lender quotes you a rate of 6.5% APR for a 30-year fixed rate mortgage (with payments made at the end of each month). The mortgage lender also tells you that if you are willing to pay one point, they can offer you a lower rate of 6.25% APR for a 30-year fixed rate mortgage. One point is equal to 1% of the loan value. So if you take the lower rate and pay the points, you will need to borrow an additional $3,250 to cover points you are paying the lender. Assuming that you do not intend to prepay your mortgage (pay off your mortgage early), are you better off paying the one point and borrowing at 6.25% APR or just taking out the loan at 6.5% without any points?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: $You want to buy a $183,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan at 4% interest for the rest.a) What is the amount of the down payment?$b) What will the amount of the mortgage?$c) The bank charges 2 points on the loan. What is the amount charged for points?
- A lender gives you a $125,000 thirty-year fixed-rate mortgage at 6.60%, two discount points, monthly payments. Suppose that, before you make any payments, you receive a pay raise so you pay an extra $100 per month in addition to your normal payment. Also, at the end of year five of the mortgage you have an unexpected job transfer thus the house is sold and the mortgage is repaid. a . What is the mortgage balance at the end of year five with the extra $100 per month payment? b . What is the effective cost of the loan for the five-year holding period?Suppose you purchase a house for $200,000.00 by getting a mortgage for $180,000.00 and paying a $20,000.00 down payment. (i). If you get a 30-year mortgage with a 7% interest rate p.a. compounded quarterly, what are the quarterly payments? (ii). What would the loan balance be at the end of the first year?After making payments of $901.10 for 6 years on your 30-year loan at 8.9%, you decide to sell your home. What is the loan payoff?
- A borrower takes out a 30-year loan for a house worth $250,000. If the annual interest rate is 6%. if the borrower chooses to pay $40,000 at the end of year 12, what will the new payments be assuming the loan maturity will not be reduced?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.You want to take out a $250,000 mortgage (home loan). The interest rate on the loan is 5% and the loan is for 25 years. How much will your semi- monthly payments be? a. $655 $622 c. $730 O d. $680 e. $752 O b.