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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Textbook Question
Chapter 6, Problem 75QP
Ordinary
Show this for both present and
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In the time diagram below, which of the following concepts is depicted?
0
PV
$1
2
$1
3
$1
O Present value of an annuity due
O Future value of an ordinary annuity
Present value of an ordinary annuity
Future value of an annuity due
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What is the primary difference between an ordinary annuity and an annuity due?
Group of answer choices
ordinary annuity only relates to future values
the timing of the periodic payment
annuity due only relates to future values
the interest rate
Problem 8: Present Value of an Annuity
Refer to each case in the table below to answer what are required in this problem.
Find the present value of the annuity, assuming that it is
(1) An ordinary annuity.
(2) An annuity due.
Compare your findings in parts a(1) and a(2). All else being identical, which type of
annuity—ordinary or annuity due—is preferable? Explain why
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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- What is a deferred ordinary annuity? How does it differ from one that is not deferred? Draw a time line of each.arrow_forward1) To find the value of an annuity due using the tables, only 1 extra period needs to be added to the number of periods: true or false ? 2) Maturity value is equal to principle plus interest when considering a Treasury Bil: true or false ? 3)What are the differences between an ordinary annuity and an annuity due?arrow_forwardWhich of following formulas is used to calculate the present value of a perpetual annuity? Seleccione una: a. P= f / (1+i)^n b. P= f / (i - g) c. P= a / (i - g) d. P= a / (1+i)^n e. F = P * (1+i)^narrow_forward
- In order to compute the present value of an annuity, it is necessary to know the 1. discount rate. 2. number of discount periods and the amount of the periodic payments or receipts. ○ 1 O something in addition to 1 and 2 O both 1 and 2 ○ 2arrow_forwardQuestion 1 Saved An annuity with periodic payments made at the end of each payment period is called: A) ordinary Oi general Cannuity due O simple Onone of the abovearrow_forward1. Which statement is FALSE? A. Future value annuity is an example of annuity. B. A perpetuity is an annuity that has maturity period. C. An annuity is a series of equal payment made for a specified number of years. D. Ordinary annuity is an annuity in which the cash flows occur at the end of each period.arrow_forward
- In the present value of an annuity due table, the factors ________. Group of answer choices decrease as the interest rates increase, given a set number of periods decrease as the periods increase, given a set interest rate increase as the periods decrease, given a set interest rate increase as the interest rates increase, given a set number of periodsarrow_forward1.Which of the following statements is CORRECT? Statement 1. The difference between the PV of an annuity due and the PV of an ordinary annuity is that each of the payments of the annuity due is discounted by one more year (period). Statement 2. The difference between an ordinary annuity and an annuity due is that each of the payments of the annuity due earns interest for one additional year (period). Statement 3. An annuity is a series of equal payments made at fixed equal-length intervals for a specified number of periods. Statement 3 only. All of the statements are correct. None of the statement is correct. Statement 1 only. Statement 2 only. Given some amount to be received several years in the future, if the interest rate increases, the present value of the future amount will Be higher Be variable. Be lower. Cannot tell. Stay the same. WITH EXPLANATION PLEASEarrow_forwardHelp Save & The difference between an ordinary annulty and an annulty due Is: Multiple Choice an ordinary annuity represents a present value and an annuity due represents a future value. an ordinary annuity represents a future value and an annuity due represents a present value. an ordinary annuity assumes the cash flows occur at the beginning of the period and an annuity due assumes the cash flows occur at the end of the period. an ordinary annuity assumes the cash flows occur at the end of the period and an annuity due assumes the cash flows occur at the beginning of the period.arrow_forward
- To determine the converted table factor for the present value of an annuity due, one must find the factor for the present value of an ordinary annuity for n + 1 and then add 1. n − 1 and then subtract 1. n − 1 and then add 1. n + 1 and then subtract 1.arrow_forwardTo find the present value (PV) of an ordinary annuity, a. the interest is compounded and then subtracted from the FV. O b. each payment is divided by (1+1)* c. each payment is multiplied by (1+1). O d. the future value (FV) is divided by the interest rate. e. the future value is divided by (1+1)*:arrow_forwardProve: FVA of an Ordinary Annuity times (1+i) = FVA of an Annuity Due, where i= interest rate. SHow all workarrow_forward
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