Sunday, March 18, 2012

Compounding


You use the following formula when compounding: A(t)=Ao(1+r)^t
Ao=starting amount
R=rate
T=amount of time compound in given time

You use the following formula when doubling, tripling, halfing, etc.: A(t)=Aob^(t/k)
Ao= starting amount
B=doubling, tripling, halfing, etc. 
T=amount of time
K=how long it takes to double triple, etc. 

To find out how long it takes for something to double use the Rule of 72: 72/r
R=rate 

When compounding continuously, you use: P(t)=PoE^(rt)
Po=starting amount
E=on ln button
R=rate
T=time

Example 1: How long does it take for a given about to double at a rate of 3% increase per year? 
72/3=24 years

Example 2: How long does it take for an amout to double at a rate of 60% increase per year? 
72/60=1.2 years

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