Fundamentals of Corporate Finance with Connect Access Card
11th Edition
ISBN: 9781259418952
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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Chapter 6, Problem 60QP
Summary Introduction
To calculate: The interest rate of the loan
Introduction:
The distinctive loan situation where the rate of interest is found, then the percentage amount is taken away from the loan, and then a remainder is given to the borrower of the loan is a discount interest loan. The interest is paid at first and at once.
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(Q) You would like to purchase a home and are interested to find out how much you can borrow. When your lender calculates your debt to income ratio, he determines that your maximum monthly payment can be no more than $3, 200. You would like to have a 30 year fully amortizing loan and the interest rate offered on such a loan is currently 8.5%. Given these constraints, what is the largest loan you can obtain?
Chapter 6 Solutions
Fundamentals of Corporate Finance with Connect Access Card
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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- In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $42,000 and the interest rate is 8.50%, the borrower “pays” 0.0850 × $42,000 = $3,570 immediately, thereby receiving net funds of $38,430 and repaying $42,000 in a year. a. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 18.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)arrow_forward12. Amortized loans Mortgages and other amortized loans (meaning equal or blended payments) involve regular payments at fixed intervals. These are sometimes called reverse annuities, because you get a lump-sum amount as a loan in the beginning, and then you make the periodic payments (usually monthly or more frequently, depending on the agreement) to the lender. You've decided to buy a house that is valued at $1 million. You have $400,000 to use as a down payment on the house, and you take out a mortgage for the rest. Your bank has approved your mortgage for the balance amount of $600,000 and is offering you a 25-year mortgage with 12% fixed nominal interest rate (called the APR, or Annual Percentage Rate) compounded semiannually. According to this proposal, what will be your monthly mortgage payment? OOO $7,740 $6,192 $8,359 $9,598 Your friends suggest that you take a 15-year mortgage, because a 25-year mortgage is too long and you will lose a lot of money on interest. If your bank…arrow_forward1. A consumer, who is initially a lender, remains a lender even after a decline in interest rates. Is this consumer better off or worse off after the change in interest rates? If the consumer becomes a borrower after the change is he better off or worse off? 2. What is the present value of $100 one year from now if the interest rate is 10%? What is the present value if the interest rate is 5%?arrow_forward
- You are taking out a single-payment loan that uses the simple interest method to compute the finance charge. You need to figure out what your payment will be when the loan comes due. The equation to calculate the finance charge is: FsFs = Amount of Loanx Interest Ratex Term of Loan where FsFs is the finance charge for the loan, and the term of the loan is in . You’re borrowing $10,000 for two years with a stated annual interest rate of 6%.arrow_forward3. Suppose you decide to purchase a $150000 home for $20000 down. A down payment is subtracted from your home’s value and therefore you owe $130000. Well to pay for this amount you will need a loan, so $130000 is the principal on your loan. Suppose the interest rate on a 30 year mortgage is 4.5%. What will your monthly payment be? Create an amortization table for this loan. How much will you pay on the loan if you pay off the loan asarrow_forwardPls help on ur own.Suppose you take out a car loan that requires you to pay $8,000 now, $5,000 at the end of year 1, and $7,000 at the end of year 2. The interest rate is 5% now and increases to 9% in the next year. What is the present value of the payments?arrow_forward
- 5. Suppose that instead you are choosing between a 30-year fixed rate loan at 5.25% with no points and a 30-year fixed rate loan at 5.02% with 1.75 points. What should you do if you think you'll be living in the house for about 8 years?arrow_forwardPlease answer with explanation. I will really upvote. Thanksarrow_forward6. Calculating simple interest and APR on a single-payment loan You are taking out a single-payment loan that uses the simple interest method to compute the finance charge. You need to figure out what your payment will be when the loan comes due. The equation to calculate the finance charge is: FsFs = P r t In the equation, FsFs is the finance charge for the loan. What are the other values? P is the amount of the loan. r is the stated rate of interest. t is the term of the loan in . You’re borrowing $4,000 for a year and a half with a stated annual interest rate of 10%. Complete the following table. (Note: Round your answers to the nearest dollar.)arrow_forward
- You just took out a variable-interest-rate consumer loan set at 33 percent over prime. After 1 year, your rate jumps to 44 percent over prime. Treasury bills are currently paying 22 percent. What is the new interest rate on your consumer loan? Question content area bottom Part 1 The new interest rate on your consumer loan is: (Select the best answer below.) A. 99 percent, which is the Treasury bill rate (prime), plus your original rate over prime, plus 44 percent. B. 66 percent, which is the Treasury bill rate (prime) plus 44 percent. C. 55 percent, which is the Treasury bill rate (prime) plus 33 percent. D. 77 percent, which is your original rate over prime plus 44 percent.arrow_forwardAsnwer the following simple and compound interest problems. Write your solution. Thank you.arrow_forwardNeed all four quest...arrow_forward
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