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The SMP 500 is a collection of the top 500 companies in the world. The SMP 500 averages a 8% yield over time and has never been down over a 14 year period. If I put $10,000 into the SMP 500 what would it be worth in 50 years? This is an example of exponentual groth.
The SMP compounds intrest, so how much money will I have after 50 years if I start with only $10,000?
Equation: 10 (A x 1.08) = AB
Start $10,000
End: $21,589
Equation: 25 (A x 1.08) = AB
Start $10,000
End: $58,484
Equation: 50 (A x 1.08) = AB
Start $10,000
End: $469,016
Lets say that the starting ammount for each repitition is A and the answer is AB. AB will then be the A in the next equation. Let T represent time!
Main Equation: 50T (A x 1.08 = AB)
Main Equation: 50T (A x 1.08) = AB
Equation: 50 ($10,000 x 1.08) = $469,016