Question

You win a scratch off lottery ticket that promises to pay an initial payment of 10,000...

You win a scratch off lottery ticket that promises to pay an initial payment of 10,000 next year and grow at a rate of 2% forever. If the discount rate is 5%, what is the present value of the lottery ticket?

1) 333333.33

2) 444444.44

3) 222222.22

4) 435691.23

5) None of the above

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Present value of lottery ticket= initial payment next year/(Discount rate-Growth rate)

=$10,000/(0.05-0.02)

which is equal to

=$333333.33(Approx).

Add a comment
Know the answer?
Add Answer to:
You win a scratch off lottery ticket that promises to pay an initial payment of 10,000...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose a scratch-off lottery ticket cost $1, and has the potential for a $1,000 grand prize....

    Suppose a scratch-off lottery ticket cost $1, and has the potential for a $1,000 grand prize. You decide to buy one of these lottery tickets. Suppose that the random variable, X=Dollars Won, has the following probability distribution: x P(X=x) 1,000 .0001 10 1 .03 0 .95 a.) what is the probability that you will win $10? b.) how many dollars are you expected to win? c.) suppose your friend says," you will either win or loose with this ticket, that...

  • a scratch off lottery ticket has several possible prizes. there is a 0.000005 probability of winning...

    a scratch off lottery ticket has several possible prizes. there is a 0.000005 probability of winning $50000. there is a 0.00004 probability of winning $10000. there is a 0.0003 probability of winning $2000, a 0.002 probability of winning 150. each ticket costs $4, find the expected value of buying 1 ticket.

  • Terry purchases 20 scratch off lottery tickets. Each ticket has a 9 % chance of winning....

    Terry purchases 20 scratch off lottery tickets. Each ticket has a 9 % chance of winning. What is the probability that she has her first successful ticket on the 5 t h try? (Round to 4 decimal places) Geometric Probability

  • You have just won $20,000 in the state lottery, which promises to pay you $1,000 (tax...

    You have just won $20,000 in the state lottery, which promises to pay you $1,000 (tax free) every year for the next twenty years. The interest rate is 5%. In reality, you receive the first payment of $1,000 today, which is worth today. (Round your response to the nearest penny) The value of the second $1,000 payment is worth Stoday (Round your response to the nearest penny) Your total lottery winnings are actually worth $20,000 to you today

  • You just won $80,000 on a scratch-off lottery ticket. You plan to save the money in...

    You just won $80,000 on a scratch-off lottery ticket. You plan to save the money in a retirement account expected to return 9% per year. If you intend to retire in 45 years, how much are these lottery winnings expected to be worth when you retire? $3,866,183 $871,576 $1,238,815 $9,665,457 $1,260,147 If you find an account that pays 10% annual interest instead of 9%, how much would you have at retirement? $1,890,221 $1,915,227 $3,250,123 $5,831,239 $14,578,097 Suppose the new retirement...

  • You just won $2,500 dollars on a scratch-off lottery ticket! You've been interested in investing, so...

    You just won $2,500 dollars on a scratch-off lottery ticket! You've been interested in investing, so now is your chance. If you invest that $2,500 for 5 years with a simple annual interest rate of 8%, how much will it be worth at the end of that 5 years? $2.712 $3.100 $3,500 $3,673 Refer to the previous question. If, instead, you could invest your $2,500 lottery winnings for 5 years at an 8% interest rate with compound interest would you...

  • Just 60 As a winner of a lottery you are going to receive $10,000 every year...

    Just 60 As a winner of a lottery you are going to receive $10,000 every year forever, starting one year from today. If the appropriate discount rate is 10%, what is the present value of the award cash flows? $40,000 $20,000 80,000 $100,000 $125,000 QUESTION 60 In the above question, suppose your prize is growing at a constant rate of 2% every year. In other words, you are going to receive $10,000 one year from today, $19,000(1.02) in 2 years...

  • You just won the lottery, which promises you $540,000 per year for the next 20 years,...

    You just won the lottery, which promises you $540,000 per year for the next 20 years, starting in one year. If your discount rate is 8.25%, what is the present value of your winnings? $5,475,199 $5,356,196 $5,426,920 $5,470,679 $5,204,600

  • You win the lottery and must decide how to take the payout. Use an 8​% discount...

    You win the lottery and must decide how to take the payout. Use an 8​% discount rate. What is the present value of $ 15,000 a year received at the end of each of the next six ​years? ​(The present value of annuity for this scenario 4.623​.)

  • Attempts: Average: 3 3. Which lottery payout scheme is better? Suppose you win a small lottery...

    Attempts: Average: 3 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 $2,750 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. since that choice has...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT