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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- 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 20In 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?Find the expected payback for a game in which you bet $88 on any number from 0 to 499. If your number comes up, you get $1000.Your answer is partially correct. Chris Long has just learned he has won a $506,800 prize in the lottery. The lottery has given him two options for receiving the payments. (1) If Chris takes all the money today, the state and federal governments will deduct taxes at a rate of 46% immediately. (2) Alternatively, the lottery offers Chris a payout of 20 equal payments of $39,500 with the first payment occurring when Chris turns in the winning ticket. Chris will be taxed on each of these payments at a rate of 26%. Click here to view factor tables. Compute the present value of the cash flows for lump sum payout. (Round answer to O decimal places, e.g. 458,581.) Lump sum payout $ Assuming Chris can earn an 9% rate of return (compounded annually) on any money invested during this period, compute the present value of the cash flows for annuity payout. (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to O decimal places, e.g. 458,581.) Present value of annuity payout…
- You just won a lottery—CONGRATULATIONS! Your parents have always told you to plan for the future, so since you already have a well-paying job you decide to invest rather than spend your lottery winnings. The payment schedule from the lottery commission is $100,000 after taxes at the end of year one and 19 more payments of exactly $100,000 after taxes in equal annual end-of-the-year deposits (i.e., 20 deposits of $100,000 each, the first deposit is one year from today) into your account paying 7% compounded annually. How much money will be in your account after the last deposit is made?NEEDS TO BE DONE ON EXCEL You have just been notified that you have won the local Bucks for Life lottery. The lottery rules state that you have the option of receiving $25,000 annually for the rest of your life beginning immediately or a single lump sum today. You are not sure which option to take but to begin with you want to be assured that the lottery has enough money set aside to make the annual payments if you choose that option. Your accountant emails you to let you know that “it appears that the lottery has $200,000 in a separate bank account to cover your annual payment.” Assuming an interest rate of 12%, is this enough cash to cover the annual payments of $25,000 over your lifetime?you have just won the lottery and will receive $460,000 in one year. you will receive payments for 21 years, and the payments will increase 4 percent per year. if the appropriate discount rate is 11 percent, what is the present value of your winnings? Please explain how to solve using the financial calculator to show and explain steps thanks
- how did you get the $239.50?Tom just won a lottery. he plans to create a money market certificate in a bank to prepare a down payment for a house $400,000. The down payment is 20% of the house price, and the current five-year APY is 3.25%. How much should you put in the money market certificate account to accumulate the down payment? Group of answer choices $340,886.41 $93,872.91 $469,334.56 $68,117.28Assume you win a lottery that will pay you $10,000 immediately, plus $20,000 one year from now, $30,000 two years from now, $40,000 three years from now, and $75,000 four years from now. You’re curious about how much the lottery commission might offer you as an immediate lump sum instead. What is the minimum amount you should consider accepting today instead? Use a 5% annual discount rate. Please remember that we are ignoring taxation and other considerations and basing this only on the math itself.