At what nominal rate compounded continuously must money be invested to triple in 3 ​years?

Answer 1

The equation for interest compounded continuously is A = Per^t. t = 3 years for this problem.

For our money to triple we would want A = 3P so that we would have:

3P = Pe^3r

3 = e^3r take natural logs of both sides

ln(3) = 3r

r = ln(3)/3 ≈ 0.366 or about 36.6%