A sum P0 is invested at 12% interest compounded monthly. How soon will it double?

sahars

New member
Joined
Oct 27, 2008
Messages
2
Reaction score
0
Points
1
A sum P0 is invested at 12% interest compounded monthly. How soon will it double
?
(
 
Use A = P(1+r)^n

Here A = 2P , r = 12/12 = 1% per month n = 12k

2P = P ( 1.01)^12k

2 = (1.01)^12k

Take logs of both sides

log 2 = 12k log 1.01

k = log 2 /12 log 1.01 = 5.8 years
 
Back
Top