Calculate present value and interest rate, Macroeconomics

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You win a lottery. You have the choice of two ways to be paid. If you pick Payout Scheme X, you get $2,750 today. If you pick Payout Scheme Y, you get three payments: $1,000 today, $1,000 one year from today, and $1,000 two years from today. Which choice has the greater present value if all banks pay 10% interest per year now and in the future?

 


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