Congratulations! You have won the Lottery For Life and are the proud winner of $1,000 per week for the rest of your life!! You have the option of accepting a cheque for $1000 per week until you die, or reach the age of 75, whichever comes sooner. Alternatively, you may accept a cash payout of $2 million now. ; q; S( q- Z3 T' V8 Z$ P1 ]a) Calculate the amount of money that the Alberta Lottery Corporation must keep in the bank to be able to pay the weekly prize. " `% m/ @8 [1 f$ A1 W* G; zAssume the following:* n1 u" k$ C! B9 q Z5 q0 N
- r = 0.06 (6 percent) & z% s0 \6 u9 M8 @& e3 v7 X- Interest is paid annually to the Lottery Corporation