1. Suppose you win the lottery and are given the following three options: (1) Receive 30 million dollars today; (2) receive 2 million dollars per year over the next 25 years; or (3) receive 1 million dollars per year indefinitely (being passed on to your heirs). Which is the best deal, assuming that the annual interest rate is 4%? We answer this by working through the following sequence of questions. a. How much are the 2 million dollars received annually over the course of 25 years worth in terms of today's dollars, assuming an annual interest rate of 4%? b. Use the answer to part a. to find a general formula for the present value of payments of C dollars received each year over the next n years, assuming an average annual interest rate r. c. Find a formula for the present value if annual payments of C dollars continue indefinitely, assuming an average annual interest rate r.

1. Suppose you win the lottery and are given the following three options: (1) Receive 30 million dollars today; (2) receive 2 million dollars per year over the next 25 years; or (3) receive 1 million dollars per year indefinitely (being passed on to your heirs). Which is the best deal, assuming that the annual interest rate is 4%? We answer this by working through the following sequence of questions. a. How much are the 2 million dollars received annually over the course of 25 years worth in terms of today's dollars, assuming an annual interest rate of 4%? b. Use the answer to part a. to find a general formula for the present value of payments of C dollars received each year over the next n years, assuming an average annual interest rate r. c. Find a formula for the present value if annual payments of C dollars continue indefinitely, assuming an average annual interest rate r.

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

(Use Calculator or Formula Approach) Suppose you have $500 to invest and you believe that you can earn 8% per year over the next 15 years. How much would you have at the end of 15 years using compound interest?
Give only typing answer with explanation and conclusion
Peter won a lottery and must decide among the following options: a. $260 at the beginning of every month for 5 years starting 3 years from now. b. $13,250 8.5 years from now. Money' is worth 3.4% compounded monthly. By how much the best option exceed the worst one, based on the present value of the offer?
Bill Padley expects to invest $15,000 for 5 years, after which he wants to receive $22,039.50. What rate of interest must Padley earn? (PV of $1. FV of $1. PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.) Future Value Present Value Table Factor Interest Rate %
Problem 1: You can choose between two different investments: (A) an annuity that pays $10,000 each year for the next 6 years; (B) a perpetuity that pays $10,000 forever, starting 11 years from now. 1. Which investment do you choose, A or B, if the interest rate is 5%? What if it is 10%? Explain in words the reason behind your choices.
Answer for part d and e only.
Suppose an investor, Erik, is offered the investment opportunities described in the table below. Each investment costs $1,000 today and provides a payoff, also described below, one year from now. Option Payoff One Year from Now 1 100% chance of receiving $1,100 2 50% chance of receiving $1,000 50% chance of receiving $1,200 3 50% chance of receiving $200 50% chance of receiving $2,000 If Erik is risk averse, which investment will he prefer? The investor will choose option 1. The investor will choose option 2. The investor will choose option 3. The investor will be indifferent toward these options. In contrast to his brother Erik, Devin is a risk lover (or exhibits risk seeking behavior). Which of the following statements is true about Devin? Everything else remaining constant, Devin will prefer option 3. Everything else remaining constant, Devin will prefer option 2. Everything else remaining constant,…
You won a lottery of $1,000,000. Office offered two options: the first one you can take it today a $500,000 today (after tax), or the second option: $50,000 per year for the rest of your life (you are 20 and expected to live a long time, like 200…) if the interest rate is 10%. What is the value of the second option today?
If you invest $10,000 per period for the following number of periods, how much would you have in each of the following instances? Use Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. In 50 years at 8 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
David wants to invest $1,500,000 so that he will have an accumulated amount of at least $2,500,000 after some years. He has two choices of investment A and investment B. Investment A offers him an semi-annual simple interest rate of 10% while investment B offers him an effective annual interest rate of 8% convertible annually. Which investment will help him reach his goal faster? Approximate the time that each investment will reach his goal.
By using formula please;;
You currently have $15,804. You plan on investing it at 20 percent per year until you have $68,555. How long will you wait until you achieve this goal? Enter the answer with 2 decimals (e.g. 1.23).

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

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

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