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As a winner of a Lottery, you have 3 offers to be paid. (You can invest your money at 10% per year) : Offer I

As a winner of a Lottery, you have 3 offers to be paid. (You can invest your money at 10% per year) :

Offer I : an annual Perpetual Payment of $500,000 starting 3 years from now

Offer II : 2 payments of $3,000,000 each . The first is in 2 years from now and the second is in 5 years from now

Offer III : a lumpsum amount (C) that you can receive now

a) How much should be the amount (C) so that you will be indifferent between Alternatives I & III ?

b) If the lumpsum amount (C ) is $4,000,000, which offer will be the best one?

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