Question 3 (25 points): If the present value of a perpetuity is given by:where C is the periodic payments and r is the discount rate. Show that the present value of anannuity of n years is given by:1C - (1 + r)]

The present value of the annuity helps you understand what a lump sum of money today would be worth…

Answered: Question 3 (25 points): If the present…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

See similar textbooks

Similar questions

To 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)*:
1. The future value of an ordinary annuity of n > 2 payments of R > 0 with periodic interest rate r >0 is the sum of all payments taken at the end of the term of the annuity.
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.
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 4 $1
Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) 1. 2. 3. Annuity Annual Payment Rate $4,700 6.0 % 8.0 % 7,700 6,700 10.0 % Show Transcribed Text 1. 2. 3. Annuity Annual Payment Rate Interest Compounded Quarterly Annually Semiannually $ 5,700 Interest Compounded 8.0 % Quarterly 10,700 11.0% Annually 4,700 10.0 % Semiannually Period Invested 5 years 6 years 9 years Calculate the present value of the following annuities, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use appropriate factor(s) from the tables provided. Round your answers to 2 decimal places.) $ Period Invested 2 years 5 years 3 years Future Value of Annuity 172,892.28 Present Value of Annuity
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
Which 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)^n
(b) Find the present value of an annuity-immediate such that payments start at 1, increase by annual amounts of 1 to a payment of , and the decrease by annual amounts of 1 to a final payment of 1.
Rank the following from highest present value to lowest present value. Assume all else equal. v An annuity with 10 payments v An annuity due with 15 payments v A perpetuity v An annuity with 15 payments
3.16 Supposed v(t) = 20/(20 + t). Assuming that future payment earn the forward rates of interest, calculate the value at time 2 of the following stream of payments:
Increasing the number of periods will increase all of the following except Select one: a. the present value of $1. b. the future value of an annuity. c. the future value of $1.
The formula 1/(1 + r)t is used to calculate Multiple Choice The present value annuity factor. The present value interest factor. The future value interest factor. The present value of $1 occurring t periods from now.

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

Question 3 (25 points): If the present value of a perpetuity is given by: where C is the periodic payments and r is the discount rate. Show that the present value of an annuity of n years is given by: 1 C - (1 + r)]