In: Finance
How many years are required for ANY principal investment amount (P) to TRIPLE (m=3) given an annual interest rate of:
a) r =20%? please show all work and explain
Assuming present value to be 1
Future value = 3 * 1 = 3
Future value = Present value / (1 + rate)^time
3 = 1 (1 + 0.2)^n
3 = (1.2)^n
We take the natural log of both sides.
LN 3 = n LN 1.2
1.09861 = n 0.18232
n = 6.03
It will take 6.03 years