The top prize for the state lottery is $114,100,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $114,100,000 in 16 equal payments of $7,131,250-one payment today and one payment at the end of each of the next 15 years. If you choose the cash payment, you will receive a one-time lump sum payment of $68,171,032.39. If you can invest the proceeds and earn 9 percent, which you would choose along with the present value of the annuity? (Round factor values to 4 decimal places, e.g. 1.5213 and final answer to 2 decimal places, e.g. 15.25.) Lump sum payment

The top prize for the state lottery is $114,100,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $114,100,000 in 16 equal payments of $7,131,250-one payment today and one payment at the end of each of the next 15 years. If you choose the cash payment, you will receive a one-time lump sum payment of $68,171,032.39. If you can invest the proceeds and earn 9 percent, which you would choose along with the present value of the annuity? (Round factor values to 4 decimal places, e.g. 1.5213 and final answer to 2 decimal places, e.g. 15.25.) Lump sum payment

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

The top prize for the state lottery is $105,704,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $105,704,000 in 25 equal payments of $4,228,160—one payment today and one payment at the end of each of the next 24 years. If you choose the cash payment, you will receive a one-time lump sum payment of $57,293,079.68. At what interest rate would you be indifferent between the cash and annual payment options? (Round answer to 0 decimal places, e.g. 15%.) Interest rate %
The top prize for the state lottery is $115,700,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $115,700,000 in 25 equal payments of $4,628,000—one payment today and one payment at the end of each of the next 24 years. If you choose the cash payment, you will receive a one-time lump sum payment of $53,355,093.34. If you can invest the proceeds and earn 9 percent, which option should you choose? (Round factor values to 3 decimal places, e.g. 1.521.) Lump sum paymentAnnual payment
The top prize for the state lottery is $105,000,000. You have decided it is time for you to take a chance and purchase a ticket. Before you purchase the ticket, you must decide whether to choose the cash option or the annual payment option. If you choose the annual payment option and win, you will receive $105,000,000 in 20 equal payments of $5,250,000—one payment today and one payment at the end of each of the next 19 years. If you choose the cash payment, you will receive a one-time lump sum payment of $63,830,111.58. You can invest the proceeds and earn 7%. At what interest rate would you be indifferent between the cash and annual payment options? (Round factor values to 3 decimal places, e.g. 1.521 and final answer to 0 decimal places, e.g. 15%.)Click here to view the PV Table. Interest rate %
A winner of the state lottery was given two choices: receive a single lump sum payment now of $50 million or receive 21 uniform payments, with the first payment to be made now, and the rest to be made at the end of each of the next 20 years. At an interest rate of 4% per year, the amount ofthe 21 uniform payments that would be equivalent to the $50 million lump-sum payment is closest to:a. $3,152,000b. $3,426,800c. $3,623,600d. $3,923,800
Marcus has won a $3,000,000 state lottery. He can take his prize as either 20 yearly payments of $150,000 or a lump sum of $1,275,000. Which is the better option? Assume an interest rate of 10%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to the nearest dollar as needed.) O A. The present value of the lottery winnings is $ this is worse than the lump sum of $1,275,000. B. The present value of the lottery winnings is $ this is better than the lump sum of $1,275,000. O C. The present value of the lottery winnings is the same as the lump sum of $1,275,000. Click to select and enter your answer(s) and then click Check Answer. All parts Clear javascript:doExercise(6): a 10:44 PM 10/26/2020 20
You have won the lottery, and you must choose between three award options. You can select one of the following options: To receive a lump sum today of $75 million, To receive 10 end-of-year payments of $12 million, to receive 30 end-of-year payments of $8 million. If you expect to earn 9% annually: What is the present value of alternative ii? What is the present value of alternative iii? Which one you must choose?
You have just won the Multi-State Lottery. You have the option of receiving a check for $35,000,000 every year at the end of the next 22 years. The lottery commission also allows you the option of receiving a one-time payment of $387,143,417 when you turn in the winning ticket. What is the approximate interest rate that the lottery commission is using to determine the one-time payment? (Use spreadsheet software or a financial calculator to calculate your answer. Do not round any intermediary calculations, and round your final answer to the nearest percent, X%.) Group of answer choices 7% 6% 8% 5%
You like to buy lottery tickets every week. The lottery pays an insurancecompany that pays the winner an annuity. If you win a $60,000,000 lotteryand elect to take an annuity, you get $3,000,000 per year at the beginningof each year for the next 20 years.a. How much must the state pay the insurance company if money can earn3 percent?b. How much interest is earned on this lump-sum payment over the 20 years?c. If you take the cash rather than the annuity, the state pays you $30,000,000in one lump sum today. You must pay 40 percent of this in taxes. If you arecurrently working and invest this money at 6 percent, how much moneywill you have in a mutual fund at the end of 20 years?d. Are you better off with the annuity, or should you take the cash? Explain.
Suppose a state lottery prize is to be paid in 25 payments of $360,000 each at the end of each of the next 25 years. (a) What is the total of all payments received (the advertised value of the lottery prize)? (b) Instead of receiving annual payments, the winner opts to receive a single payment today equal to the present value of the prize. Find the amount of today's payment if: (Round your answer to the nearest cent.) interest is 8% $ interest is 12% $
The florida lottery agrees to pay the winner $285,000 at the end of each year for the next 20 years. What is the future value of this prize if each payment is put in an account earning 0.08?
After hearing a knock at your front door, you are surprised to see the Prize Patrol from your state's online lottery agency. Upon opening your door, you learn you have won the lottery of $12.5 million. You discover that you have three options: (1) you can receive $1.25 million per year for the next 10 years, (2) you can have $10 million today, or (3) you can have $4 million today and receive $1 million for each of the next eight years. Your lawyer tells you that it is reasonable to expect to earn an annual return of 10 percent on investments. Required: 1. What is the present value of the above options? (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use appropriate factor(s) from the tables provided. 2. Which option do you prefer? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 2 above options? What is the present Note: Enter your answers in whole dollar not in millions (i.e., 1,000,000 not 1.0), rounded to nearest whole dollar.…
The winner of a lottery chooses to receive annual payments of $170,000 at the end of each year for 25 years. If the current interest rate is 4.2 %, find the present value (in dollars) of the payments. (Round your answer to the nearest cent. See Example 5 in this section.)

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