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Suppose that you have a winning lottery ticket for $100,000. The State of California doesn't pay this amount up front - this is the amount you will receive over time. The State offers you two options. The first pays you $80,000 up front and that will be the entire amount. The second pays you winnings over a three year period. The last option pays you a large payment today with small payments in the future. The payment options are detailed in the table below:

	Option #1	Option #2	Option #3
Amount paid today	$80,000	$22,000	$50,000
Amount paid after 1 years	-	$22,000	$12,000
Amount paid after 2 years	-	$22,000	$12,000
Amount paid after 3 years	-	$22,000	$12,000

Compute the present value of each payment option, assuming the interest rate is 12%.