Rate = 8.1%
Number of years of annuity due = 29+1 = 30
Prize per payments = 372,011,000/30 = 12,400,366.67
Cash value option of PV using annuity due formula =
(1+r)*PMT*(1-(1+r)-n)/r =
(1+8.1%)*12,400,366.67*(1-(1+8.1%)-30)/8.1% =
149,495,571.47
Please Discuss in case of Doubt
Best of Luck. God Bless
Please Rate Well
The lottery; 30 annual payments over 29 years Prize of: $372,011,000 If interest rate is 8.1%...
The Powerball Lottery prize this week is at $590,500,000. The odds are 1 in 175,223,510 that you will win. Winners have two choices in how they receive their winnings: (1) one lump sum of $370,896,781, or (2) 30 annual payments of $19,683,333. If you win the lottery, should you take the annuity or the cash? (To help with your decision: 3.59% is the discount rate that makes the present value of the annuity due-30 annual payments-equal to the one lump...
Congratulations! You have just won the State Lottery. The lottery prize was advertised as an annualized $105 million paid out in 30 equal annual payments beginning immediately. The annual payment is determined by dividing the advertised prize by the number of payments. Instead you could take a one lump cash prize of the present value of all the annuity payments using a 4.5% discount rate. You now have up to 60 days to determine whether to take the cash prize...
9. You won the lottery and you are scheduled to receive 30 annual payments of $100,000, starting next year. If your opportunity cost of money is 12% and you asked to receive your prize in cash today as a lump-sum payment, how much would you take home?
A lottery winner claims a prize of $1.2 million, payable over 30 years at $40,000 per year. If the first payment is made immediately, what is this prize really worth given the annual rate of 6.8%?
Practice: Lottery Winner - Lump Sum or Annual Payments? A 26-year-old hairdresser is celebrating after what she thought was a $1,000 winning lottery ticket turned out to be worth a staggering $1.3 million.* lt was only when she traveled to the California Lottery Van Nuys District Office on December 26 that she found out she had actually won $1,000 per week for 25 years - a total of $1.3 million (She)... has reportedly arranged to meet a financial adviser to...
The grand prize in the OMG Lottery is a choice between $1,000 paid at the beginning of each month for a period of 10 years and a lump sum paid immediately. If you can invest at an effective annual interest rate of 5%, what is the minimum lump sum you would be willing to accept as winner of this lottery? A) $94,766 B) $95,152 C) $94,282 D) $94,675 E) $93,847
Steve Long has just learned he has won a $511,700 prize in the lottery. The lottery has given him two options for receiving the payments. (1) If Steve takes all the money today, the state and federal governments will deduct taxes at a rate of 47% immediately. (2) Alternatively, the lottery offers Steve a payout of 20 equal payments of $42,100 with the first payment occurring when Steve turns in the winning ticket. Steve will be taxed on each of...
You have won the lottery and your prize is $1,000,000. Since the parentheses on said that the winner had the option of taking a lump sum or an annuity you have to decide the best deal for you. Your choices are: 1) $1,000,000 in 10 years, present Valve 2) 10 annual payments of $100,000 which begin in one year, Nesen vowe Or, 3) a lump sum of $675,000. You figure you could earn 8% on your money. Ignoring taxes, which...
You have won the lottery and your prize is $1.000.000. Since the parentheses said that the winner had the option of taking a lump sum or an annuity you have to decide me best deal for you. Your choices are: 1) $1,000,000 in 10 years, present Valve 2) 10 annual payments of $100,000 which begin in one year, Mesen Vowe Or, 3) a lump sum of $675,000. You figure you could earn 8% on your money. Ignoring taxes, which is...
Rosie won the lottery today. She can receive 30 annual payments of $5,000,000 starting immediately. (So, the last installment will be received 29 years from today.) Alternatively, Rosie can opt to receive her entire winnings all at once today (a lump sum). If Rosie can invest at 6% per year, what minimum lump sum would make her choose to take her winnings at all once today?