Question

In: Finance

You have just won a lottery of $1 million and you can chooseamong the following...

You have just won a lottery of $1 million and you can choose among the following three payout options. The effective annual interest rate (EAR) is 5%. Option A: $100,000 every two years, starting 2 years from now and ending 20 years from now. Option B: $100,000 a year at the end of the next 10 years, with the first payment one year from today. Option C: $500,000 right now and $500,000 exactly 20 years from now. Please calculate the present values of all three options. Which option should you choose?


Solutions

Expert Solution

Answer:- Option B should be chosen as it as higher present value

Explanation:-

Following is the excel sheet showing the calculation of Present Values :-

Following is the Formula Sheet of above excel sheet for easy understanding of the formulas used:-


Related Solutions

Manuel just won the lottery and the prize was $ 1 million. You have the option...
Manuel just won the lottery and the prize was $ 1 million. You have the option of receiving a lump sum of $ 312,950 or $ 50,000 per year for the next 20 years. If Miguel can invest the single amount at 9% or invest the annual payments at 7%; Which one should I choose? a. one-time amount of 312,950 b. b. annual payments of 50,000
2. You just won a Million Dollar lottery and you can choose one of the following...
2. You just won a Million Dollar lottery and you can choose one of the following two options to claim your winning. If you choose Option A, you will receive $40,000 every year for 25 years (40,000 x 25 = $1,000,000 hence the name), with the first payment to occur one year from today. But you may also choose Option B, in which case you will receive a single payment of $600,000 today. The applicable tax rate for the annual...
Who Wants to Be a Millionaire? You just won $1 million dollars in the lottery! They...
Who Wants to Be a Millionaire? You just won $1 million dollars in the lottery! They offer you two options for your winnings: a lump sum payment right now, or $100,000 a year over the next 10 years. Current 10-year interest rates are at 5%, and the current tax on lottery winnings is 40%.   What is the amount you will receive today with the lump sum option? Which option would you select? How would you present your argument for your...
You have just won the lottery and will receive a lump sum payment of $22.53 million...
You have just won the lottery and will receive a lump sum payment of $22.53 million after taxes. Instead of immediately spending your money, you plan to deposit all of the money into an account that will earn 4.81 percent. If you make equal annual withdrawals for the next 25 years, how much can you withdraw each year starting exactly one year from now? Fancy Cat Products has a project that will cost $250,100 today and will generate monthly cash...
You just won your state lottery and will be receiving a check for $1 million. You...
You just won your state lottery and will be receiving a check for $1 million. You have always wanted to start your own food truck business A new food truck with kitchen and other related equipment costs about $100,000. Other fixed costs including salaries, gas for the truck, licensing fees are estimated to be about $50,000 per year. You decided to offer traditional Mediterranean cuisine. Variable costs include food and beverages estimated at $6 per platter (meat, rice, vegetable and...
You have just won the TVM Lottery. You will receive $1 million today plus another 10...
You have just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $670,000 per year. Thus, in one year you receive $1.67 million. In two years, you get $2.34 million, and so on. If the appropriate interest rate is 7.7 percent, what is the value of your winnings today?
1. You just won 100 million playing the lottery yesterday and you deposit 50 million in...
1. You just won 100 million playing the lottery yesterday and you deposit 50 million in the local bank. Would you spending habits and the way you think about and select goods and service change compared to the way it was before you won lottery? what types of goods would you buy and in what quantities? why? Please explain it by some economic concept as much detail as possible.
You just won the 1 million dollar lottery! However the state will be paying it out...
You just won the 1 million dollar lottery! However the state will be paying it out to you in 20 annual $50,000 payments. If the inflation rate averages 4% over that time period how much would be the present value if you could receive an equivalent amount up front in a lump sum.
You just won $1,000,000 in the lottery. This lottery will pay you $1 a year for...
You just won $1,000,000 in the lottery. This lottery will pay you $1 a year for a million years. Using a martket discount rate of 5% compound annually, what is the current value of this prize? $20 $67 $24.67 $16.66 $12
The $40.0 million lottery payment that you have just won actually pays $1.6 million per year...
The $40.0 million lottery payment that you have just won actually pays $1.6 million per year for 25 years. The interest rate is 10%. If the first payment comes in 1 year, what is the present value of the winnings? What is the present value if the first payment comes immediately? (Do not round intermediate calculations. Enter your answer in millions of dollars rounded to 2 decimal places.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT