In a state's Pick 3 lottery game, you pay $1.45 to select a sequence of three digits (from 0 to 9), such as 433. If you select the same sequence of three digits that are drawn, you win and collect $391.14. If you win, what is your net profit?
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- 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 paymentThe 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 V
- 3. Which lottery payout scheme is better? Suppose you win a small lottery and have the choice of two ways to be paid: You can accept the money in a lump sum or in a series of payments over time. If you pick the lump sum, you get $2,950 today. If you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. At an interest rate of 8% per year, the winner would be better off accepting the , since that choice has the greater present value. At an interest rate of 10% per year, the winner would be better off accepting , since it has the greater present value. Years after you win the lottery, a friend in another country calls to ask your advice. By wild coincidence, she has just won another lottery with the same payout schemes. She must make a quick decision about whether to collect her money under the lump sum or the payments over time. What is the best advice to give your friend? The lump sum is…We have often heard that a dollar today is worth more than a dollar tomorrow. In light of what you learned about annuities, what advice would you offer to a current lottery winner regarding the option they should use in determining whether or not they should accept a lump sum payment or the annual payment from the lottery commision? Why or why not ?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 %
- 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.…It is a common fact that many lottery winners are “broke” sooner than later. If you won a $1,000,000 lottery, would you want to collect the lump sum winnings today or receive the monies over time? How does your decision influence the ultimate amount of cash you will collect? Explain the TVM factors you would consider as you make this decision.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
- In a certain state lottery, a lottery ticket costs 2. In terms of the decision to purchase or not to purchase a lottery ticket, suppose that the following payoff table applies: a. A realistic estimate of the chances of winning is 1 in 250,000. Use the expected value approach to recommend a decision. b. If a particular decision maker assigns an indifference probability of 0.000001 to the 0 payoff, would this individual purchase a lottery ticket? Use expected utility to justify your answer.Suppose you play a game of chance in which five numbers are chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. A computer randomly selects five numbers from zero to nine with replacement. You pay $2 to play and could profit $100,000 if you match all five numbers in order (you get your $2 back plus $100,000). Over the long term, what is your expected profit of playing the game? Can give at least an explanation? I don't really get this one.A lottery corporation sells a ticket for a chance to win $500,000. If you win, the prize winnings will be spread out over time with your first payment of $150,000 today. The second payment of $ 150,000 would be released to you in a year, and the last payment of $200,000 would be released the following year. If you could earn 3.5% compounded annually, what is the value of the prize today?
