Shuman secures a 30-year mortgage for $377,900 and an annual interest rate of 4.875% compounded monthly. (Round your answers to the nearest cent.) (a) Find the monthly mortgage payment (in dollars). (b) If Shuman keeps the loan for 30 years, how much interest will he repay (in dollars) over that time?

Shuman secures a 30-year mortgage for $377,900 and an annual interest rate of 4.875% compounded monthly. (Round your answers to the nearest cent.) (a) Find the monthly mortgage payment (in dollars). (b) If Shuman keeps the loan for 30 years, how much interest will he repay (in dollars) over that time?

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 24PROB

See similar textbooks

Similar questions

Calculating and comparing add-on and simple interest loans. Eli Nelson is borrowing 10,000 for five years at 7 percent. Payments, which are made on a monthly basis, are determined using the add-on method. a. How much total interest will Eli pay on the loan if it is held for the full five-year term? b. What are Elis monthly payments? c. How much higher are the monthly payments under the add-on method than under the simple interest method?
Cost of Bank Loan Mary Jones recently obtained an equipment loan from a local bank. The loan is for 15,000 with a nominal interest rate of 11%. However, this is an installment loan, so the bank also charges add-on interest. Mary must make monthly payments on the loan, and the loan is to be repaid in 1 year. What is the effective annual rate on the loan (assuming a 365-day year)?
Calculating single-payment loan amount due at maturity. Stanley Price plans to borrow 8,000 for five years. The loan will be repaid with a single payment after five years, and the interest on the loan will be computed using the simple interest method at an annual rate of 6 percent. How much will Stanley have to pay in five years? How much will he have to pay at maturity if hes required to make annual interest payments at the end of each year?
Samuel Ames owes 20,000 to a friend. He wants to know how much he would have to pay if he paid the debt in 3 annual installments at the end of each year, which would include interest at 14%. Draw a time line for the problem. Indicate what table to use. Look up the table value and place it in a brief formula. Solve.
Compound Interest Issues You are given the following situations: 1. Thomas Petty owes a debt of 7,000 from the purchase of a boat. The debt bears 12% interest payable annually. Thomas will pay the debt and interest in 5 annual installments beginning in 1 year. Calculate the equal annual installments that will pay off the debt and interest at 12% on the unpaid balance. 2. On January 1, 2019, John Cothran offers to buy Ruth Houses used tractor and equipment for 4,000 payable in 12 equal semiannual installments which are to include payment of 10% interest on the unpaid balance and payment of a portion of the principal with the first installment to be made on January 1, 2019. Calculate the amount of each of these installments. 3. Nadine Love invests in a 60,000 annuity at 12% compounded annually on March 1, 2019. The first of 15 receipts from the annuity is payable to Love on March 1, 2029, 10 years after the annuity is purchased and on the date Love expects to retire. Calculate the amount of each of the 15 equal annual receipts. Required: Using the appropriate tables, solve each of the preceding situations.
Del Hawley, owner of Hawleys Hardware, is negotiating with First City Bank for a 1-year loan of 50,000. First City has offered Hawley the alternatives listed here. Calculate the effective annual interest rate for each alternative. Which alternative has the lowest effective annual interest rate? a. A 12% annual rate on a simple interest loan, with no compensating balance required and interest due at the end of the year b. A 9% annual rate on a simple interest loan, with a 20% compensating balance required and interest due at the end of the year c. An 8.75% annual rate on a discounted loan, with a 15% compensating balance d. Interest figured as 8% of the 50,000 amount, payable at the end of the year, but with the loan amount repayable in monthly installments during the year
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?
Determining Loan Repayments Jerry Rockness needs 40,000 to pay off a loan due on December 31, 2028. His plans included the making of 10 annual deposits beginning on December 31, 2019, in accumulating a fund to pay off the loan. Without making a precise calculation, Jerry made 3 annual deposits of 4,000 each on December 31, 2019, 2020, and 2021, which have been earning interest at 10% compounded annually. Required: What is the equal amount of each of the next 7 deposits for the period December 31, 2022, to December 31, 2028, to reach the fund objective, assuming that the fund will continue to earn interest at 10% compounded annually?