When yours truly was younger, to demonstrate value of money and lack of understanding most have about it, I was posed a situation:
I take a job for 31 days and the boss offered two choices how I would be paid. First choice is to take a lump sum payment of $10 million dollars. The second choice is to accept 1 penny for the first day of work, but the salary would continuously double each subsequent day and I would get paid the total amount at the end of the work period (2 cents paid on day 2; 4 cents paid on day 3, etc)
Most people would take the $10 million. After all, it averages $333k/day.
But would that be the most financially sound choice?
Here's a day by day breakdown of wages doubled daily starting at a penny:
Day 1 - 0.01 a penny
Day 2 - 0.02 3 cents total
Day 3 - 0.04 7 cents earned in 3 days
Day 4 - 0.08 15 cents total
Day 5 - 0.16 31 cents earned after 5 days
Day 6 - 0.32 63 cents total
Day 7 - 0.64 $1.27 earned after 1 full week
~ Looks pretty bad- $10mill looks good.. Let's continue..
Day 8 - 1.28 $2.55 total
Day 9 - 2.56 $5.11 total
Day 10 - 5.12 $10.23 earned after 10 days
Day 11 - 10.24 $20.47 total
Day 12 - 20.48 $40.95 total
Day 13 - 40.96 $81.91 total
Day 14 - 81.92 $163.83 earned after 2 full weeks
~ That's better than after 1 week but nowhere near $10mill, hmm...
Day 15 - 163.84 $327.67 total (halfway there)
Day 16 - 327.68 $655.35 total
Day 17 - 655.36 $1310.71 earned in 17 days
Day 18 - 1310.72 $2621.43 total
Day 19 - 2621.44 $5242.87 total
Day 20 - 5242.88 $10,485.75 total
Day 21 - 10,485.76 $20,971.51 earned in 21 days
~ This isn't looking too good.. gulp~ 10 days to go
Day 22 - 20,971.52 $41,943.03 total
Day 23 - 41,943.04 $83,886.07 total
Day 24 - 83,886.08 $167,772.15 earned in 24 days
Day 25 - 167,772.16 $335,544.31 total
Day 26 - 335,544.32 $671,088.63 total
Day 27 - 671,088.64 $1,342,177.27 total
Day 28 - 1,342,177.28 $2,684,354.55 earned in 28 days
~ 3 work days left.. looks promising...
Day 29 - 2,684,354.56 $5,368,709.11 total
Day 30 - 5,368,709.12 $10,737,418.23 total (1 day left)
Day 31 - 10,737,418.24 $21,474,836.47
A penny, doubled each day for 31 days = $21,474,836.47
Certainly beats the initial $10mil offering, doesn't it?
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