Rule of 70

 

Suppose you invest $100 at 3% compounded monthly.  How long will it take to double your money?

 

Now, since .  We want to find t so that,

200 = 100[(1.0025)12t]

 

2 = (1.0025)12t

 

ln 2 = 12t[ln 1.0025]

 

t =