Congratulations! You have won a state lottery. The state lottery offers you the following (after-tax) payout options:

Option #1: \(12,000,000 after five years

Option #2: \)2,150,000 per year for five years

Option #3: $10,000,000 after three years

Assuming you can earn 6% on your funds, which option would you prefer?

Short Answer

Expert verified

Option #2 would be preferable.

Step by step solution

01

Meaning of Lottery

A lottery could be a kind of gaming in which members buy numbered tickets. The numbers on tickets are picked, and those with particular numbers on their tickets win a prize.

02

Analyzing the various option

Option #1

Presentvalue=Amountrecceivableattheendof5thyear×PVF@6%,5year=$12,000,000×0.747=$8,964,000

Option #2

Presentvalue=Amountrecceivableattheendof1stto5thyear×PVF@6%,5year=$2,150,000×4.212=$9,055,800

Option #3

Presentvalue=Amountreceivableattheendof3rdyear×PVF@6%,3year=$10,000,000×0.840=$8,400,000

Option #2 depicts more present value as compared to the other option. So, option #2 will be preferable.

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