When you win the Mega Millions lottery, you can elect to take 30 annual payments or a cash option. The annuity option will pay you the full amount of the advertised Mega Millions jackpot over the next 29 years (30 payments, with the first payment immediately). The annual payments will increase by 5.000% each year. So it is a growing annuity due. Suppose June 20, 2023, was your lucky day, and you were the only winner of the $300 million jackpot! If you choose the annuity, the 30 payments you would receive—ignoring the time value of money—would sum to $300 million. If you choose the cash option, the immediate one-time payout is $156.0 million; assume this value is the present value of the annuity. Also assume the discount rate is 4.007% (this is pretty close to what they actually use). What is the amount of the first payment that you will receive immediately if you choose the annuity option? $ (to nearest $1)
When you win the Mega Millions lottery, you can elect to take 30 annual payments or a cash option. The annuity option will pay you the full amount of the advertised Mega Millions jackpot over the next 29 years (30 payments, with the first payment immediately). The annual payments will increase by 5.000% each year. So it is a growing annuity due. Suppose June 20, 2023, was your lucky day, and you were the only winner of the $300 million jackpot! If you choose the annuity, the 30 payments you would receive—ignoring the time value of money—would sum to $300 million. If you choose the cash option, the immediate one-time payout is $156.0 million; assume this value is the present value of the annuity. Also assume the discount rate is 4.007% (this is pretty close to what they actually use). What is the amount of the first payment that you will receive immediately if you choose the annuity option? $ (to nearest $1)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Ch 6] When you win the Mega Millions lottery, you can elect to take 30
annual payments or a cash option. Theannuity option will pay you the
full amount of the advertised Mega Millions jackpot over the next 29
years (30 payments, with the first payment immediately). The annual
payments will increase by 5.000% each year. So it is a growing annuity
due. Suppose June 20, 2023, was your lucky day, and you were the only
winner of the $300 million jackpot! If you choose the annuity, the 30 payments you would
receive—ignoring thetime value of money —would sum to $300 million. If you choose the
cash option, the immediate one-time payout is $156.0 million; assume this value is the
present value of the annuity. Also assume the discount rate is 4.007% (this is pretty close to
what they actually use). What is the amount of the first payment that you will receive
immediately if you choose the annuity option?
$
(to nearest $1)
annual payments or a cash option. The
full amount of the advertised Mega Millions jackpot over the next 29
years (30 payments, with the first payment immediately). The annual
payments will increase by 5.000% each year. So it is a growing annuity
due. Suppose June 20, 2023, was your lucky day, and you were the only
winner of the $300 million jackpot! If you choose the annuity, the 30 payments you would
receive—ignoring the
cash option, the immediate one-time payout is $156.0 million; assume this value is the
present value of the annuity. Also assume the discount rate is 4.007% (this is pretty close to
what they actually use). What is the amount of the first payment that you will receive
immediately if you choose the annuity option?
$
(to nearest $1)
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