A growing annuity is a cash flow stream with ________ (an infinite, a finite) life, while a growing perpetuity is a cash flow stream with a _______ (infinite or finite) . Therefore, given same initial cash flow, growth rate, and interest rate, the present value of the perpetuity will always be ___________ (greatwe rhan, less than, or equal to) the present value of the annuity.

A growing annuity is a cash flow stream with ____ (an infinite, a finite) life, while a growing perpetuity is a cash flow stream with a _ (infinite or finite) . Therefore, given same initial cash flow, growth rate, and interest rate, the present value of the perpetuity will always be _________ (greatwe rhan, less than, or equal to) the present value of the annuity.

Financial Management: Theory & Practice

16th Edition

ISBN:9781337909730

Author:Brigham

Publisher:Brigham

Chapter4: Time Value Of Money

Section: Chapter Questions

Problem 12MC: (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest...

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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.)
Which of the following best describes the constant-growth dividend discount model? a. It is the formula for the future value of a growing annuity. b. It is the formula for the present value of an ordinary annuity. c. It is the formula for the future value of a perpetuity. d. It is the formula for the future value of an ordinary annuity. e. It is the formula for the present value of a growing perpetuity.
Perpetuity is a type of annuity which has infinite period of payments. The present value of a perpetuity equals to the annual payment divided by the required rate of return. True or False
The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $1,000 at the beginning of each year*** This is the correct option**** An annuity that pays $500 at the beginning of every six months A. An ordinary annuity selling at $2,514.15 today promises to make equal payments at the end of each year for the next eight years (N). If the annuity’s appropriate interest rate (I) remains at 8.00% during this time, the annual annuity payment (PMT) will be . B. You just won the lottery. Congratulations! The jackpot is $10,000,000, paid in eight equal annual payments. The…
Which of the following best describes the constant-growth dividend discount model? Select one: a. It is the formula for the present value of a growing annuity b. It is the formula for the present value of a growing annuity c. It is the formula for the present value of a growing perpetuity
Which of the following statements is CORRECT? 1. If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as a variable annuity. 2. The cash flows for an annuity must all be equal, and they must occur at regular intervals, such as once a year or once a month. 3. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity. 4. The cash flows for an annuity due must all occur at the ends of the periods. 5. The cash flows for an ordinary (or deferred) annuity all occur at the beginning of the periods.
Perpetuities are also called annuities with an extended or unlimited life. Based on your understanding of perpetuities, answer the following questions. Which of the following are characteristics of a perpetuity? Check all that apply. The present value of a perpetuity is calculated by dividing the amount of the payment by the investor’s opportunity interest rate. In a perpetuity, returns—in the form of a series of identical cash flows—are earned. A perpetuity continues for a fixed time period. The principal amount of a perpetuity is repaid as a lump-sum amount. Your grandfather wants to establish a scholarship in his father’s name at a local university and has stipulated that you will administer it. As you’ve committed to fund a $5,000 scholarship every year beginning one year from tomorrow, you’ll want to set aside the money for the scholarship immediately. At tomorrow’s meeting with your grandfather and the bank’s representative, you will need to…
Which of the following statements is CORRECT? If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as a variable annuity. The cash flows for an ordinary (or deferred) annuity all occur at the beginning of the periods. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity. The cash flows for an annuity due must all occur at the ends of the periods. The cash flows for an annuity must all be equal, and they must occur at regular intervals, such as once a year or once a month.
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
Select all the statements on perpetuities that are correct. a. The present value of a perpetuity increases if the interest rate increases. b. If I multiply the present value of a perpetuity with the interest rate then I get the value of a single payment of the cashflow stream. c. The present value value of a perpetuity is independent of the interest rate. d. The present value of a perpetuity is infinite as all the payments add up to infinity. e. A perpetuity describes a constant cashflow at the end of each year that continues infinitely long.
The larger the periodic payment of an annuity, the greater its present value. True or False?
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?