# How to convert $P \cdot (1+\frac{r}{m})^{m \cdot t}$ to $P_0 \cdot e^{k \cdot t}$?

Future value formula is:

$$A=P \cdot (1+\frac{r}{m})^{m \cdot t}$$

where,

• $$A$$ is resulting amount
• $$r$$ is annual interest
• $$P$$ is present value
• $$n$$ is number of compound periods per year
• $$t$$ is time (in years)

And, exponential growth function is:

$$P(t) = P_0 \cdot e^{k \cdot t}$$

The question is: