SHOW BAII PLUS CALCULATOR INPUTS

$12.$ You have won a state lottery prize quoted as $$$$24$ million dollar lottery$,$ what this really means is that if you take the monthly payments of $$100,000$ for $20$ years, you will have a total payout of $$24$ million. If the appropriate interest $($discount$)$ rate is assumed to be $4\mathrm{.}2\%$ APR, what would be the cash payout on this lottery today? Note: this PV would likely be the one$-$time cash payout if that option had been available.