Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Question
Chapter 5, Problem 30P
Summary Introduction
To determine: The
Introduction:
The present value is the current value of a future total of cash that gives a specific return. Future cash flows are discounted at a discount rate that is higher than the discount rate.
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Future Value of an Annuity
Refer to each case in the table below to answer what is required in this problem.
Required:
Find the future 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.
Using an annuity, you may calculate the present value of a single payment or a series of payments you will receive. Is this statement correct or incorrect?
Increasing the number of periods will increase all of the following except:
Select one:
A.
The present value of an annuity
B.
The present value of $1
C.
The future value of $1
D.
The future value of an annuity
Chapter 5 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 5.1 - Prob. 1CCCh. 5.1 - Prob. 2CCCh. 5.2 - How can you compute the outstanding balance on a...Ch. 5.2 - What is an amortizing loan?Ch. 5.3 - What is the difference between a nominal and real...Ch. 5.3 - How do investors expectations of future short-term...Ch. 5.4 - Prob. 1CCCh. 5.4 - How do taxes affect the interest earned on an...Ch. 5.5 - What is the opportunity cost of capital?Ch. 5.5 - Why do different interest rates exist, even in a...
Ch. 5 - Your bank is offering you an account that will pay...Ch. 5 - Which do you prefer: a bank account that pays 5%...Ch. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - You are considering moving your money to a new...Ch. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - You can earn 50 in interest on a 1000 deposit for...Ch. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - You have just sold your house for 1,000,000 in...Ch. 5 - Prob. 16PCh. 5 - Your mortgage has 25 years left, and has an APR of...Ch. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - The mortgage on your house is five years old. It...Ch. 5 - You have credit card debt of 25,000 that has an...Ch. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Suppose the term structure of risk-free interest...Ch. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Suppose the current one-year interest rate is 6%....Ch. 5 - Figure 5.4 shows that Johnson and Johnsons...Ch. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Your best friend consults you for investment...Ch. 5 - Suppose you have outstanding debt with an 8%...Ch. 5 - In the summer of 2008, at Heathrow Airport in...Ch. 5 - Your firm is considering the purchase of a new...Ch. 5 - Prob. 41P
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Similar questions
- An annuity is a method for calculating the future value of a single payment or a series of payments. What do you think?arrow_forwardThe present value of an annuity is the amount needed now so that desired annuity payments may be made in the future. In this scenario annuity payments will be made at the beginning of each month. Thus, this is an annuity due. To find the present value of this annuity, the amount of money that should be deposited in an account now, the interest rate per period must first be found. The interest rate per period is calculated using the nominal, or annual, rate and the number of periods per year as follows. interest rate per period = nominal rate periods per year The rate was given to be 6%. Interest is compounded monthly, or 12 times per year. Find the interest rate per period. interest rate per period = nominal rate periods per year = % 12 = % The total number of compounding periods will be 1 less than the number of years annuity payments will be made multiplied by the number of compounding periods per year. There are 12…arrow_forwardUse the formula for the present value of an ordinary annuity or the amortization formula to solve the following problem. PV=$12,00; PMT=$400; n=55; =i?arrow_forward
- The present value of a perpetuity is equal to the payment on the annuity, PMT, divided bythe interest rate, I : PV = PMT/I. What is the future value of a perpetuity of PMT dollars peryear? (Hint: The answer is infinity, but explain why.)arrow_forwardWhich one of these statements related to growing annuities and perpetuities is correct? In computing the present value of a growing annuity, you discount the cash flows using the growth rate as the discount rate. You can compute the present value of a growing annuity but not a growing perpetuity. The future value of an annuity will decrease if the growth rate is increased. An increase in the rate of growth will decrease the present value of an annuity. The present value of a growing perpetuity will decrease if the discount rate is increased.arrow_forwardAPPLY THE CONCEPTS: Present value of an ordinary annuity (Please see overview of question in attachment) Many times future sums of money will not come in one payment but in a number of periodic payments. For example, imagine that you want to buy a house and know that you will have periodic mortgage payments and you need to know how much you would have to invest today in order to facilitate all of those payments into the future. This is called an ordinary annuity and it says that a certain value today at a stated interest rate is equal to a certain number of future payouts for a given amount per payment. The following timeline displays how an ordinary annuity pays out when distributed in three equal payments at an annually compounded interest rate of 5%. Payment: $6,000 Payment: $6,000 Payment: $6,000 Year 1 Year 2 Year 3 Present Value: ? The most simple and commonly used method of determining the present value of an…arrow_forward
- If you calculated the value of an ordinary annuity, how could you find the value ofthe corresponding annuity due?arrow_forwardIf the payments are monthly how would you set up the present value?arrow_forwardYou are comparing two annuities. Annuity A pays $115 at the end of each year for 5 years. Annuity B pays $105 at the beginning of each year for 5 years. The rate of return on both annuities is 12 percent. Which one of the following statements is correct given this information? Annuity B has both a higher present value and a higher future value than Annuity A. O Annuity A has both a higher present value and a higher future value than Annuity B. O Annuity A has the same present value and future value as Annuity B.arrow_forward
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