Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
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Chapter 2, Problem 31PS
a.
Summary Introduction
To determine: The present value of payments.
b.
Summary Introduction
To determine: The loan balance outstanding, interest payment and reduction in loan balance for each year.
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Students have asked these similar questions
A mortgage has the following terms:
Amount: $750,000
Rate: 6.25%
Amortization (Years): 30
Term (Years): 20
Please determine the following:
What is the Monthly Payment?
In preparing an Income Statement, what is the Interest Expense for years 1 – 5?
What is the Principal Balance at the end of year 6?
What is the value of the loan at the expiration?
If rates remain constant (flat), what would the benefit be to refinance this loan after year 10?
do all the questions 1-5 and show the formulas in excel and show how you got it
Amortizing loans Suppose that you take out a 30-year mortgage loan of $200,000 at an interest rate of
10%. a. What is your total monthly payment? b. How much of the first month's payment goes to
reduce the size of the loan? c. How much of the payment after two years goes to reduce the size of the
loan?
Consider a home mortgage of
$225,000
at a fixed APR of
3%
for
25
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.
Chapter 2 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
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. 8SQCh. 2 - (NOMINAL) What monthly compounded interest rate...Ch. 2 - Future values If you invest 100 at an interest...Ch. 2 - Discount factors If the PV of 139 is 125, what is...
Ch. 2 - Prob. 3PSCh. 2 - Prob. 4PSCh. 2 - Opportunity cost of capital Which of the following...Ch. 2 - Perpetuities An investment costs 1,548 and pays...Ch. 2 - Growing perpetuities A common stock will pay a...Ch. 2 - Prob. 8PSCh. 2 - Present values What is the PV of 100 received in:...Ch. 2 - Continuous compounding The continuously compounded...Ch. 2 - Compounding intervals You are quoted an interest...Ch. 2 - Future values and annuities a. The cost of a new...Ch. 2 - Prob. 13PSCh. 2 - Present values A factory costs 800,000. You reckon...Ch. 2 - Present values A machine costs 380,000 and is...Ch. 2 - Opportunity cost of capital Explain why we refer...Ch. 2 - Present values A factory costs 400,000. It will...Ch. 2 - Present values and opportunity cost of capital...Ch. 2 - Prob. 19PSCh. 2 - Prob. 20PSCh. 2 - Annuities David and Helen Zhang are saving to buy...Ch. 2 - Annuities Kangaroo Autos is offering free credit...Ch. 2 - Present values Recalculate the NPV of the office...Ch. 2 - Prob. 24PSCh. 2 - Prob. 25PSCh. 2 - Continuous compounding How much will you have at...Ch. 2 - Perpetuities You have just read an advertisement...Ch. 2 - Compounding intervals Which would you prefer? a....Ch. 2 - Compounding intervals A leasing contract calls for...Ch. 2 - Annuities Several years ago, The Wall Street...Ch. 2 - Prob. 31PSCh. 2 - Prob. 32PSCh. 2 - Prob. 33PSCh. 2 - Prob. 34PSCh. 2 - Prob. 35PSCh. 2 - Amortizing loans Suppose that you take out a...Ch. 2 - Prob. 37PSCh. 2 - Annuities Use Excel to construct your own set of...Ch. 2 - Declining perpetuities and annuities You own an...
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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?arrow_forwardCalculating 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?arrow_forwardCalculating 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?arrow_forward
- 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)?arrow_forwardA fully amortizing mortgage loan is made for $84,000 at 6 percent interest for 25 years. Payments are to be made monthly. Required: a. Calculate monthly payments. b. Calculate interest and principal payments during month 1. c. Calculate total principal and total interest paid over 25 years. d. Calculate the outstanding loan balance if the loan is repaid at the end of year 10. e. Calculate total monthly interest and principal payments through year 10. f. What would the breakdown of interest and principal be during month 50?arrow_forwardAmortization, Loan & InflationSuppose you take out a $100,000, 20- year mortgage loan to purchase a condo. The interest rate is 6%. Assume you make payments on the loan annually at the end of each year.a. What fraction of the initial loan payment is interest?b. What fraction of the initial loan is amortized? c. If the inflation rate is 2%, what are the real values of the first& last (year-end) payments?arrow_forward
- Consider a home mortgage of $200,000 at a fixed APR of 3% for 25 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. a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.) b. The total amount paid over the term of the loan is $ (Round to the nearest cent as needed.) c. Of the total amount paid,% is paid toward is paid % toward (Round to one decimal place as needed.) the principal, the principal, and % is paid for interest. andarrow_forwardConsider a 30-year home mortgage of $100,000 at 6% per year. What is the monthly payment? Use Theorem 1 as attached to make an amortization schedule of the first 6 months: Month (k) Principal P(k) Interest I(k) Balance due B(k) 1 2 3 4 5 6 where P(k) is the amount paid to the principal in the k’th payment, I(k) is the amount paid to interest in the k’th payment, B(k) is the balance due after the k’th payment.arrow_forwardConsider a home mortgage of $150,000 at a fixed APR of 6% for 25 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. a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.)arrow_forward
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