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 19.A, Problem 2Q
Summary Introduction
To determine: The
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Use aspreadsheet to create amortization schedules for the following five scenarios.What happens to the total interest paid under each scenario?a. Scenario 1:Loan amount: $1 millionAnnual rate: 5 percentTerm: 360 monthsPrepayment: $0b. Scenario 2: Same as 1, except annual rate is7 percentc. Scenario 3: Same as 1, except term is 180monthsd. Scenario 4: Same as 1, except prepayment is$250 per monthe. Scenario 5: Same as 1, except loan amount is$125,000
The
of the present values of all the payments required to pay off a loan is
equal to the original principal of the loan.
square root
sum
economic rate
equivalent payment
1. Let's assume that a loan of $100,000 with an annual interest rate of 6% over 30 years pays monthly payments of $500.
a. Calculate the accumulation rate
b. Calculate the payment rate .
c. Answer : How will the balance of the principal be at the end of the loan in relation to the original amount of the loan? Less, equal or greater?
Provide calculations.
Chapter 19 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 19.A - The U.S. government has settled a dispute with...Ch. 19.A - Prob. 2QCh. 19 - Prob. 1PSCh. 19 - Prob. 2PSCh. 19 - WACC True or false? Use of the WACC formula...Ch. 19 - Flow-to-equity valuation What is meant by the...Ch. 19 - APV True or false? The APV method a. Starts with a...Ch. 19 - APV A project costs 1 million and has a base-case...Ch. 19 - Prob. 7PSCh. 19 - APV Consider a project lasting one year only. The...
Ch. 19 - WACC The WACC formula seems to imply that debt is...Ch. 19 - Prob. 10PSCh. 19 - Prob. 11PSCh. 19 - WACC Table 19.4 shows a simplified balance sheet...Ch. 19 - WACC How will Rensselaer Felts WACC and cost of...Ch. 19 - APV Digital Organics (DO) has the opportunity to...Ch. 19 - APV Consider another perpetual project like the...Ch. 19 - Prob. 18PSCh. 19 - Prob. 19PSCh. 19 - Prob. 22PSCh. 19 - Company valuation Chiara Companys management has...Ch. 19 - Prob. 25PSCh. 19 - Prob. 26PS
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- This questi Consider a loan of $7700 at 6.8% compounded semiannually, with 18 semiannual payments. Find the following. (a) the payment necessary to amortize the loan (b) the total payments and the total amount of interest paid based on the calculated semiannual payments (c) the total payments and total amount of interest paid based upon an amortization table. (a) The semiannual payment needed to amortize this loan is $ 545.94. (Round to the nearest cent as needed.) (b) The total amount of the payments is $ 9827.07 (Round to the nearest cent as needed.) The total amount of interest paid is $ 2127.07 (Round to the nearest cent as needed.) (c) The total payment for this loan from the amortization table is $ (Round to the nearest cent as needed.) The total interest from the amortization table is $ (Round to the nearest cent as needed.)arrow_forwardA borrower can obtain an 80 percent loan with an 9 percent interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 95 percent loan at an 9.5 percent rate with the same loan term. The borrower plans to own the property for the entire loan term. Required: a. What is the incremental cost of borrowing the additional funds? (Hint: The dollar amount of the loan does not affect the answer.) b. What is the incremental cost of borrowing the additional funds if 2 points were charged on the 95 percent loan? c. What is the incremental cost of borrowing the additional funds if the borrower planned to own the property for only five years? Complete this question by entering your answers in the tabs below. Required A Required B Required C What is the incremental cost of borrowing the additional funds if the borrower planned to own the years? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Incremental…arrow_forwardA borrower can obtain an 85 percent loan with an 6 percent interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 95 percent loan at an 6.5 percent rate with the same loan term. The borrower plans to own the property for the entire loan term. Required: a. What is the incremental cost of borrowing the additional funds? (Hint: The dollar amount of the loan does not affect the answer.) b. What is the incremental cost of borrowing the additional funds if 2 points were charged on the 95 percent loan? c. What is the incremental cost of borrowing the additional funds if the borrower planned to own the property for only five years?arrow_forward
- Suppose a borrower makes a $100,000 loan with annual payments at a 10 percent rate and a 10-year term. The loan is fully amortizing; however, payments are made on an annual basis to simplify the initial illustration. How the annual loan payment is calculated?arrow_forwardDebt Service Coverage Ratio (DSCR or DCR): Assume that a property has a monthly net operating income (NOI) of $25,000, and that a lender has a minimum DSCR requirement of 1.35. What is the maximum loan that you could obtain assuming a 4.5% interest rate and a 30-year term with monthly payments?arrow_forwardDogarrow_forward
- Suppose a homeowner has an existing mortgage loan with these terms: Remaining balance of $150,000, interest rate of 8 percent, and remaining term of 10 years (monthly payments). This loan can be replaced by a loan at an interest rate of 6 percent, at a cost of 8 percent of the outstanding loan amount. Required: a. What is the net benefit of refinancing? Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places. b. What is the NPV if the homeowner expects to be in the home for only five more years? Note: Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 2 decimal places. a. Net benefit of refinancing b. NPV $ + 6,552.77 1,819.91arrow_forwardUse the following amortization chart: Selling priceof home Downpayment Principal(loan) Rate of interest Years Payment per$1,000 Monthly mortgage payment $ 95,000 $ 6,000 $ 89,000 6% 30 $ 6.00 $ 534.00 Assume the interest rate rises to 7.5%. What is the total cost of interest with the new interest rate? (Use Table 15.1.) (Do not round intermediate calculations. Round your final answer to the nearest cent.) Total Cost of Interestarrow_forwardConsidering the following information, what is the net benefit if the borrower refinances the loan (benefit analysis, NOT NPV analysis)? Initial Loan balance: 723,000 Initial loan term: 30 years Current Loan interest: 5.75% Remaining term on current loan: 20 years New loan term: 15 years New loan interest: 2.50% Cost of refinancing: 3% of the loan amount Expected holding period: 8 years In Excelarrow_forward
- The annual debt service on a property is $25,000 and the pre-tax cash flow is $50,000. If the mortgage capitalization rate is 8.5% and the overall rate is 10%, what is the indicated value of the property?arrow_forwardUse the following amortization chart: Selling priceof home Downpayment Principal(loan) Rate of interest Years Payment per$1,000 Monthly mortgage payment $ 81,000 $ 4,000 $ 77,000 5.5% 30 $ 5.68 $ 437.36 Assume the interest rate rises to 7.0%. What is the total cost of interest with the new interest rate? (Use Table 15.1.) (Do not round intermediate calculations. Round your final answer to the nearest cent.)arrow_forwardA borrower can obtain an 80 percent loan with an 8 percent interest rate and monthly payments. The loan is to be fully amortized over 25 years. Alternatively, he could obtain a 90 percent loan at an 8.5 percent rate with the same loan term. The borrower plans to own the property for the entire loan term. a. What is the incremental cost of borrowing the additional funds? (Hint: The dollar amount of the loan does not affect the answer.) b. What is the incremental cost of borrowing the additional funds if 2 points were charged on the 90 percent loan? c. What is the incremental cost of borrowing the additional funds if the borrower planned to own the property for only five years?arrow_forward
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