A tech startup's valuation $V$ (in millions of dollars) is modeled by $V(t) = 10 \cdot (1.2)^t$, where $t$ is the number of years since founding. An investor wants to compare this to a different model $W(t) = 10 \cdot e^{kt}$. If both models predict the same valuation at $t=1$, what is the exact value of the growth constant $k$?