Question

Arvidas recently won the Central States Lottery of \$3,500,000. The lottery pays either a total of twenty \$175,000 payments per year with the first payment today (i.e., an annuity due), or \$2,000,000 today. At what interest rate would Arvidas be financially indifferent between these two payout choices?

 8.00% 6.88% 6.04% 6.36%

Ans 6.88%

 Annuity PV Due (Beginning)= P + P [ 1 - ( 1 + r )-(n-1) ] r 2000000 = 175000 + 175000 * ( 1 - ((1 / (1 + r%)^(20-1))))/ (r%) (2000000 - 175000 ) / 175000 = ( 1 - ((1 / (1 + r%)^(20-1))))/ (r%) 10.4285714285714 = ( 1 - ((1 / (1 + r%)^(20-1))))/ (r%) r = 6.88%

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