A car buyer takes out a 25,000 e loan to purchase the car. Suppose that the annual interest rate is 3%. Assume that interest is compounded continuously and that payments are also made continuously. (i) What monthly payment is required to pay off the loan in 10 years? (ii) What is the total interest paid during the term of the mortgage?

A car buyer takes out a 25,000 e loan to purchase the car. Suppose that the annual interest rate is 3%. Assume that interest is compounded continuously and that payments are also made continuously. (i) What monthly payment is required to pay off the loan in 10 years? (ii) What is the total interest paid during the term of the mortgage?

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter4: Time Value Of Money

Section4.17: Amortized Loans

Problem 1ST

See similar textbooks

Similar questions

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 purchase a car for a total price of $22,565 including taxes and license fee, and finance that amount for 7 years at an annual interest rate of 6%. (Round your answer to the nearest cent) a)find the monthly payment? b) what is the total amount of interest paid over the term 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 purchase a car for a total price of $21,750, including taxes and license fee, and finance that amount for 7 years at an annual interest rate of 6%. (Round your answers to the nearest cent.) (a) Find the monthly payment.$ (b) What is the total amount of interest paid over the term of the loan?$
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 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 in a paper.
Suppose you purchase a car for a total price of $24,790 including taxes and licensee and finance that amount for five years at an annual interest rate of 6%. (Round your answer to the nearest cent) Find the monthly payment? What is the total amount of interest paid over the term of 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?
Suppose you purchase a car for a total price of $25,445, including taxes and license fee, and finance that amount for 4 years at an annual interest rate of 8%. Please provide step by step to find the monthly payment and what is the total amount of interest paid over the term of the loan? Thanks
You plan to purchase a $310,000 house using a 15-year mortgage obtained from your bank. The mortgage rate offered to you is 5.10 percent. You will make a down payment of 20 percent of the purchase price. a. Calculate your monthly payments on this mortgage. b. (1) Construct the amortization schedule for the mortgage. b. (2) How much total interest is paid on this mortgage?
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 component
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?