PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 32PS
Amortizing loans Suppose that you take out a $200,000, 20-year mortgage loan to buy a condo. The interest rate on the loan is 6%, and payments on the loan are made annually at the end of each year.
- a. What is your annual payment on the loan?
- b. Construct a mortgage amortization table in Excel similar to Table 2.1, showing the interest payment, the amortization of the loan, and the loan balance for each year.
- c. What fraction of your initial loan payment is interest? What about the last payment? What fraction of the loan has been paid off after 10 years? Why is the fraction less than half?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these 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…
A borrower has taken out a 30-year mortgage for $104,000 at an annual rate of 12%.
a. Use the table to find the monthly payment for this mortgage.
b. Construct the first three lines of an amortization schedule for this mortgage.
c. Assume that the borrower has decided to pay an extra $200 per month to pay off the mortga
more quickly. Find the first three lines of your payment schedule under this assumption.
Click the icon to view a table of monthly payments on a $1,000 loan.
a. The monthly payments for this mortgage are $
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.
6 parts
remainino
Olear All
Cherk Answe
javascript:doExercise(3):
Copyright © 2020 Pearson Education Inc. All rights reserved. |
99
a
立
Consider a home mortgage of $17500 at a fixed APR of %6 for 15 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Please show all work computaion explanation formulas clearly with steps
Chapter 2 Solutions
PRIN.OF CORPORATE FINANCE
Ch. 2 - (FV) In 1880, five aboriginal trackers were each...Ch. 2 - Prob. 2SQCh. 2 - (PV) Your company can lease a truck for 10,000 a...Ch. 2 - (RATE) Ford Motor stock was one of the victims of...Ch. 2 - Prob. 5SQCh. 2 - Prob. 6SQCh. 2 - Prob. 7SQCh. 2 - (NOMINAL) What monthly compounded interest rate...Ch. 2 - Opportunity cost of capital Which of the following...Ch. 2 - Opportunity cost of capital Explain why we refer...
Ch. 2 - Prob. 3PSCh. 2 - Compound interest New Savings Bank pays 4%...Ch. 2 - Compound interest In 2017, Leonardo da Vincis...Ch. 2 - Future values If you invest 100 at an interest...Ch. 2 - Prob. 7PSCh. 2 - Future values In the five years preceding the end...Ch. 2 - Discount factors a. If the present value of 139 is...Ch. 2 - Prob. 10PSCh. 2 - Prob. 11PSCh. 2 - Present values What is the PV of 100 received in:...Ch. 2 - Prob. 13PSCh. 2 - Present values A factory costs 800,000. You reckon...Ch. 2 - Present values Recalculate the NPV of the office...Ch. 2 - Present values and opportunity cost of capital...Ch. 2 - Perpetuities An investment costs 1,548 and pays...Ch. 2 - Perpetuities You have just read an advertisement...Ch. 2 - Growing perpetuities A common stock will pay a...Ch. 2 - Prob. 20PSCh. 2 - Prob. 21PSCh. 2 - Annuities Kangaroo Autos is offering free credit...Ch. 2 - Annuities David and Helen Zhang are saving to buy...Ch. 2 - Prob. 24PSCh. 2 - Annuities Several years ago, The Wall Street...Ch. 2 - Prob. 26PSCh. 2 - Prob. 27PSCh. 2 - Prob. 28PSCh. 2 - Prob. 29PSCh. 2 - Annuities due A store offers two payment plans....Ch. 2 - Amortizing loans A bank loan requires you to pay...Ch. 2 - Amortizing loans Suppose that you take out a...Ch. 2 - Future values and annuities a. The cost of a new...Ch. 2 - Prob. 34PSCh. 2 - Growing annuities You are contemplating membership...Ch. 2 - Prob. 36PSCh. 2 - Growing perpetuities and annuities Your firms...Ch. 2 - Compounding intervals A leasing contract calls for...Ch. 2 - Compounding intervals Which would you prefer? a....Ch. 2 - Compounding intervals You are quoted an interest...Ch. 2 - Prob. 41PSCh. 2 - Continuous compounding How much will you have at...Ch. 2 - Continuous compounding The continuously compounded...Ch. 2 - Prob. 44PSCh. 2 - Annuities Use Excel to construct your own set of...Ch. 2 - Declining perpetuities and annuities You own an...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- 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?arrow_forwardConsider a traditional 30-year fixed rate mortgage, borrowing $400,000 (present value) at an annual interest rate of 3.25%, payable in monthly payments. Create an Excel spreadsheet and use basic math functions to develop a schedule for the entire life of the loan. Your table should include columns for Payment #, Principle Remaining, Interest Paid, Principal Paid, Cumulative Interest Paid, and Cumulative Principal Paid. Then use this table to answer the following questions: c. How much did the borrower pay in total to pay off this loan, if they paid just the minimum payment for the entire 30 years? And how much of that total is just interest? d. Create a graph of the interest and principal amounts paid each month, for just the first two years of the loan. (Hint: use an “X Y Scatter” chart type) e. Bonus question: How much sooner (in months) would the borrower pay off this loan, if they paid an extra $100 per month? Your Excel spreadsheet must show this calculationarrow_forwardYou 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?arrow_forward
- Use the Loan Payoff Table to determine both the finance charge and the payment required to amortize a loan of $4100 at an annual interest rate of 11% with a term of 36 monthly payments. What is the amount of each payment? What is the finance charge?arrow_forwardPrepare the first row of a loan amortization schedule based on the following information. The loan amount is for $17,900 with an annual interest rate of 09.00%. The loan will be repaid over 22 years with monthly payments. 1. What is the Loan Payment? 2. What portion of this payment is Interest? 3. What portion of this payment is Principal? 4. What is the Loan balance after first monthly payment?arrow_forward1. 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?arrow_forward
- Use PMT formula on the image uploaded to determine the regular payment amount, rounded to the nearest cent. The cost of a home is financed with a $150,000 20-year fixed-rate mortgage at 3.5%. a. Find the monthly payments and the total interest for the loan. b. Prepare a loan amortization schedule for the first three months of the mortgage. ______________________________________________________________ a. The monthly payment is $________.. (Do not round until the final answer. Then round to the nearest cent as needed.) - The total interest for the loan is $_______. (Use the answer from part a to find this answer. Round to the nearest cent as needed.) b. Fill out the loan amortization schedule for the first three months of the mortgage below. Payment Number Interest Principal Loan Balance 1 $ $ $ 2 $ $ $ 3 $ $ $ (Use the answer from part a to find these answers. Round to the…arrow_forwardSuppose 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: $arrow_forwardYou plan to purchase a $240,000 house using a 30-year mortgage obtained from your local credit union. The mortgage rate offered to you is 8 percent. You will make a down payment of 10 percent of the purchase price. a. Calculate your monthly payments on this mortgage. b. Construct the amortization schedule for the first six payments. Complete this question by entering your answers in the tabs below. Required A Required B Construct the amortization schedule for the first six payments. (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) Amortization Schedule for first 6 payments (months) Month Beginning Loan Balance Payment Interest Principal Ending Loan Balance 1 2 3 4 5 6arrow_forward
- You plan to purchase a $320,000 house using a 15-year mortgage obtained from your bank. The mortgage rate offered to you is 5.20 percent. You will make a down payment of 15 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? Answer is not complete. Complete this question by entering your answers in the tabs below. Req A Req B1 Amortization Schedule Month 1 2 3 179 180 Construct the amortization schedule for the mortgage? (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16)) Req 82 Total Interest Amortization Schedule for the 15-Year Mortgage Interest Cumulative Principal Principal 272,000.00 270,999.26 Cumulative Interest Ending Balancearrow_forwardYou plan to use a 15 year mortgage obtained from a local bank to purchase a house worth $124,000.00. The mortgage rate offered to you is 7.75%. You will make a down payment of 20% of the purchase price. a. Calculate your monthly payments on this mortgage. List in a spreadsheet the cash flow the bank expects to receive from you. Submit the spreadsheet with your answers. b. Calculate the amount of interest and principal for the 60th payment. Show your work. c. Calculate the amount of interest and principal to be paid on the 180th payment. Show your work. d. What is the amount of interest paid over the life of this mortgage?arrow_forwardYou plan to borrow $25,000 at a 3.4% annual interest rate compounded annually. The terms require you to amortize the loan with 5 equal payments each made at the end of each year. You would like to construct an amortization schedule showing details of the payments. Answer the following questions, and choose the closest answer from the possible choices following each question: 1.To find the interest repaid in period 1 only in the financial calculator amortization worksheet, you enter P2 = 2.To find the interest repaid in period 1 only in the financial calculator amortization worksheet, you enter P1 = 3.How much total interest is repaid in periods 1 to 2?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTPfin (with Mindtap, 1 Term Printed Access Card) (...FinanceISBN:9780357033609Author:Randall Billingsley, Lawrence J. Gitman, Michael D. JoehnkPublisher:Cengage Learning
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Pfin (with Mindtap, 1 Term Printed Access Card) (...
Finance
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Cengage Learning
How To Make Money With Debt (2022); Author: Proactive Thinker;https://www.youtube.com/watch?v=pXZQBKZCWfc;License: Standard Youtube License