Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Question
Chapter 6, Problem 56QP
Summary Introduction
To calculate: The third-year interest and the overall interest paid for the life of a loan.
Introduction:
The total sum of interest that is due for a particular time is the interest rate. The rate of interest can be due for a period as a proportion of the sum borrowed or deposited and as the proportion of the sum lent.
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55. Amortization with Equal Payments Prepare an amortization schedule for
a three-year loan of $57,000. The interest rate is 8 percent per year, and the
loan calls for equal annual payments. How much interest is paid in the third
year? How much total interest is paid over the life of the loan?
LO 3
56. Amortization with Equal Principal Payments Rework Problem 55
assuming that the loan agreement calls for a principal reduction of $19,000
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Problem 5-36 Calculating Present Value of Annuities (LO 1]
Peter Lynchpin wants to sell you an investment contract that pays equal $12.500 amounts at the end of each of the next 19 years. If
you require an effective annual return of 8 percent on this investment, how much will you pay for the contract today?
Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
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FIN2230 Chapter 9 Assignment i
4
If you invest $14,500 per period for the following number of periods is received at the beginning of each year. (Annuity in advance)
(Use a Financial calculator to arrive at the answers. Round the final answers to the nearest whole dollar.)
a. 9 years at 4 percent
Future value
$
b. 16 years at 12 percent
Future value
$
c. 20 periods at 15 percent
Saved
Future value
Chapter 6 Solutions
Fundamentals of Corporate Finance
Ch. 6.1 - Prob. 6.1ACQCh. 6.1 - Prob. 6.1BCQCh. 6.1 - Unless we are explicitly told otherwise, what do...Ch. 6.2 - In general, what is the present value of an...Ch. 6.2 - In general, what is the present value of a...Ch. 6.3 - If an interest rate is given as 12 percent...Ch. 6.3 - What is an APR? What is an EAR? Are they the same...Ch. 6.3 - Prob. 6.3CCQCh. 6.3 - What does continuous compounding mean?Ch. 6.4 - What is a pure discount loan? An interest-only...
Ch. 6.4 - What does it mean to amortize a loan?Ch. 6.4 - Prob. 6.4CCQCh. 6 - Two years ago, you opened an investment account...Ch. 6 - A stream of equal payments that occur at the...Ch. 6 - Your credit card charges interest of 1.2 percent...Ch. 6 - What type of loan is repaid in a single lump sum?Ch. 6 - Annuity Factors [LO1] There are four pieces to an...Ch. 6 - Prob. 2CRCTCh. 6 - Prob. 3CRCTCh. 6 - Present Value [LO1] What do you think about the...Ch. 6 - Prob. 5CRCTCh. 6 - Prob. 6CRCTCh. 6 - APR and EAR [LO4] Should lending laws be changed...Ch. 6 - Prob. 8CRCTCh. 6 - Prob. 9CRCTCh. 6 - Prob. 10CRCTCh. 6 - Prob. 11CRCTCh. 6 - Prob. 12CRCTCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QPCh. 6 - Calculating Annuity Cash Flows [LO1] If you put up...Ch. 6 - Calculating Annuity Values [LO1] Your company will...Ch. 6 - Calculating Annuity Values [LO1] If you deposit...Ch. 6 - Calculating Annuity Values [LO1] You want to have...Ch. 6 - Prob. 9QPCh. 6 - Calculating Perpetuity Values [LO1] The Maybe Pay...Ch. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Calculating APR [LO4] Find the APR, or stated...Ch. 6 - Calculating EAR [LO4] First National Bank charges...Ch. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Calculating Present Values [LO1] An investment...Ch. 6 - EAR versus APR [LO4] Big Doms Pawn Shop charges an...Ch. 6 - Prob. 20QPCh. 6 - Calculating Number of Periods [LO3] One of your...Ch. 6 - Calculating EAR [LO4] Friendlys Quick Loans, Inc.,...Ch. 6 - Prob. 23QPCh. 6 - Calculating Annuity Future Values [LO1] You are...Ch. 6 - Calculating Annuity Future Values [LO1] In the...Ch. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Simple Interest versus Compound Interest [LO4]...Ch. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Calculating Future Values [LO1] You have an...Ch. 6 - Calculating Annuity Payments [LO1] You want to be...Ch. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Growing Annuity [LO1] Your job pays you only once...Ch. 6 - Prob. 39QPCh. 6 - Calculating the Number of Payments [LO2] Youre...Ch. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QPCh. 6 - Prob. 46QPCh. 6 - Prob. 47QPCh. 6 - Prob. 48QPCh. 6 - Prob. 49QPCh. 6 - Calculating Present Value of a Perpetuity [LO1]...Ch. 6 - Prob. 51QPCh. 6 - Prob. 52QPCh. 6 - Calculating Annuities Due [LO1] Suppose you are...Ch. 6 - Prob. 54QPCh. 6 - Prob. 55QPCh. 6 - Prob. 56QPCh. 6 - Prob. 57QPCh. 6 - Prob. 58QPCh. 6 - Prob. 59QPCh. 6 - Prob. 60QPCh. 6 - Calculating Annuity Values [LO1] You are serving...Ch. 6 - Prob. 62QPCh. 6 - Calculating EAR with Points [LO4] The interest...Ch. 6 - Prob. 64QPCh. 6 - Prob. 65QPCh. 6 - Prob. 66QPCh. 6 - Prob. 67QPCh. 6 - Calculating Annuity Payments [LO1] This is a...Ch. 6 - Prob. 69QPCh. 6 - Prob. 70QPCh. 6 - Prob. 71QPCh. 6 - Calculating Interest Rates [LO4] A financial...Ch. 6 - Prob. 73QPCh. 6 - Prob. 74QPCh. 6 - Ordinary Annuities and Annuities Due [LO1] As...Ch. 6 - Calculating Growing Annuities [LO1] You have 40...Ch. 6 - Prob. 77QPCh. 6 - Prob. 78QPCh. 6 - Prob. 79QPCh. 6 - Prob. 80QPCh. 6 - Prob. 1MCh. 6 - Prob. 2MCh. 6 - Prob. 3MCh. 6 - Prob. 4MCh. 6 - Prob. 5MCh. 6 - Prob. 6M
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Similar questions
- Problem 6-7 Calculating Annuity Values [LO1] You plan to deposit $5,200 at the end of each of the next 25 years into an account paying 10.3 percent interest. a. How much money will you have in the account in 25 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. How much will you have if you make deposits for 50 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) X Answer is not complete. a. Future value of 25 deposits b. Future value of 50 deposits $ 41,956.81 xarrow_forwardences Problem 6-1 Present Value and Multiple Cash Flows [LO1] Mendez Company has identified an investment project with the following cash flows. Year Cash Flow $800 1,090 1,350 1,475 1234 a. If the discount rate is 7 percent, what is the present value of these cash flows? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What the present value at 17 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the present value at 25 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a. Present value at 7% b. Present value at 17% c. Present value at 25% 4arrow_forward$15,000 24,000 33,000 55. Amortization with Equal Payments Prepare an amortization schedule for a three-year loan of $57,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan? LO 3 56 Amortizaarrow_forward
- Problem 9-3 Calculating Payback [LO2] Kara, Incorporated, imposes a payback cutoff of three years for its international investment projects. Year Cash Flow (A) 0 1 2 V34 -$ 53,000 19,500 21,000 17,500 4,500 Project A Project B What is the payback period for both projects? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Cash Flow (B) -$ 63,000 11,500 14,500 19,000 223,000 Project B O Project A years years Which project should the company accept?arrow_forwardReview Problem 9 #30 algo (LO6) Three equal payments were made one, two, and three years after the date on which a $17,200 loan was granted at 10.5% compounded monthly. If the balance immediately after the third payment was $6,056.94, what was the amount of each payment? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Each payment $arrow_forwardProblem 06.027 AW of a Permanent Investment How much must you deposit each year into your retirement account starting now and continuing through year 10 if you want to be able to withdraw $85,000 per year forever, beginning 30 years from now? Assume the account earns interest at 10% per year. The amount to be deposited is determined to be $ 20,562.41arrow_forward
- Question 14.11 Consider two annuities that have the same yield and make annual payments. The first annuity is a level 3-year annuity-due, and its Macaulay duration is 0.96. The second annuity is a level 4-year annuity-due, and its Macaulay duration is X. Calculate X. A 1.1 B 1.3 C 1.4 D 2.0 E 2.4arrow_forwardProblem 6-41 Calculating Annuity Present Values [LO2] You want to borrow $87,000 from your local bank to buy a new sailboat. You can afford to make monthly payments of $1,550, but no more. Assuming monthly compounding. what is the highest rate you can afford on a 72-month APR loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Interest rate %arrow_forwardi will 10 upvotes urgent Suppose your firm is seeking an eight-year, amortizing $750,000 loan with annual payments and your bank is offering you the choice between a $795,000 loan with a $45,000 compensating balance and a $750,000 loan without a compensating balance. The interest rate on the $750,000 loan is 8.5 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it?(Do not round intermediate calculations and round your final answer to 2 decimal places.) Interest rate%arrow_forward
- Problem 6-32 Calculating Annuities [LO1] You are planning to save for retirement over the next 25 years. To do this, you will invest $760 per month in a stock account and $360 per month in a bond account. The return of the stock account is expected to be 9.6 percent, and the bond account will return 5.6 percent. When you retire, you will combine your money into an account with a return of 6.6 percent. How much can you withdraw each month from your account assuming a 20-year withdrawal period? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Withdrawalarrow_forwardQ 40 What's the present value of a $610 annuity payment over six years if interest rates are 10 percent? (Do not round intermediate calculations and round your final answer to 2 decimal places.) PRESENT VALUE?arrow_forwardChapter 6 Discussion Q1 What is the incremental borrowing cost for the following table? Alternative 1 @ 6% for 25 years III @ 7% for 30 years Difference Loan Amount $80,000 $90,000 $10,000 Payments Years 1 - 25 -$515.44 -$598.77 -$83.33 Payments Years 26 - 30 $0 -$598.77 -$598.77arrow_forward
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