Please correct answer and don't use hand rating You have just won a lottery and are given two options for receiving your winnings:1. Option 1: Receive $50,000 annually for 20 years (an annuity).2. Option 2: Receive a lump sum payment of $650,000 today.Assuming the two options are financially equivalent, calculate the implied annual interest rate (rounded to two decimal places) that would make the present value ofthe annuity option equal to the lump sum payment today.4.51%1.11%10.89%7.64%

Step 1: Understand the formula for the present value of an annuity.The present value PV of an…

Answered: You have just won a lottery and are…

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

Subject: finance
Consider the following three options: (1) receive a one-time payment $102 now, (2) receive a one-time benefit of $115 in 5 years (from now), (3) receive $2 every year forever. If the yearly discount rate is 2%, which option would yield the most revenue? O option 3 O option 2 O option 1 O options 1 and 3
The first option is the amount of $3000 in 4 years. The second option is to receive the amount of $1700 immediately followed by some unknown annuity that is paid at the end of each year for 4 years with the first annuity payment received at the end of year 1. Using an interest rate of 5.00%, determine the unknown annuity amount for the second option that would make the present value of both options equivalent.
a) You deposit $200 monthly into an annuity with the goal of accumulating $180,000 after 30 years. What annual rate, compounded monthly, is required to ?accomplish this b) At retirement, a client has two payment options: a 20-year annuity at $50,000 per year starting after 1 year or a lump sum of $500,000 today. If the client's required rate of return on retirement fund investments is 6% per year, which plan has the higher present ?value and by how much
Assume that you contribute $300 per month to a retirement plan for 15 years. Then you are able to increase the contribution to $600 per month for another 25 years. Given a 6.0 percent interest rate, what is the value of your retirement plan after the 40 years? Note: Do not round intermediate calculations and round your final answer to 2 decimal places. Future value of multiple annuities
Assume that you contribute $300 per month to a retirement plan for 15 years. Then you are able to increase the contribution to $500 per month for the next 25 years. Given a 9.0 percent interest rate, what is the value of your retirement plan after the 40 years? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Future value of multiple annuities $ 51,158 72
Suppose you find an annuity that pays 8% annual interest, compounded annually. If you invest in this annuity and contribute $10, 000 annually for 10 years, how much money will be in the annuity after 10 years? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign and comma (For example $122, 570.21 should be input as 122600.) Provide your answer below:
A lottery offers you a choice of $1,000,000 per year for 30 years or a lump-sum payment. What lump-sum payment (rounded to the nearest dollar) would equal the annual payments if the current interest rate is 1.9% compounded annually? (a) State the type. A. amortization B. present value of an ordinary annuity C. future value of an ordinary annuity D.sinking fund E. none of these (b) Answer the question. (Round your answer to the nearest dollar.)
Suppose you wish to retire forty years from today. You determine that you need $50,000 per year once you retire, with the first retirement funds withdrawn one year from the day you retire. You estimate that you will earn 6% per year on your retirement funds and that you will need funds up to 25 years after retirement. Use the PV of an ordinary annuity due formula. a) Calculate the amount you must deposit in an account today so that you have enough funds for retirement b) Calculate the amount you must deposit each year, starting one year from today, so that you have enough funds for retirement.
Find the future value of an annuity due with an annual payment of $14,000 for three years at 4% annual interest using the simple interest formula. How much was invested? How much interest was earned? What is the future value of the annuity? $ (Round to the nearest cent as needed.) How much was invested? S How much interest was earned? S (Round to the nearest cent as needed.) ←
3
(Present value of a perpetuity) At a discount rate of 13.00%, find the present value of a perpetual payment of $1,500 per year. If the discount rate were lowered to 6.50%, half the initial rate, what would be the value of the perpetuity? a. If the discount rate were 13.00%, the present value of the perpetuity is $ (Round to the nearest cent.) b. If the discount rate were lowered to 6.50%, half the initial rate, the present value of the perpetuity is $ (Round to the nearest cent.)

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