Answer to Question #296265 in Financial Math for Bros

Question

A lump sum of money is invested at a rate of 10% per annum compounded quarterly. How 

long will it take for the investment to triple?

Answer 1

$P=A(1+\frac{0.10}{4})^{4t}$ .

If P=3A: $3=(1.025)^{4t}$ .

$4tln{1.025}=ln3$ .

$t=\frac{ln3}{4ln1.025}\approx 11.12\;yr=133.44\;months=4059\;days.$