Principal and Interest To calculate how much an account will have grown after any arbitrary length of time tk/m(measured in years).we use 1+)=+)"→m[+)们=r Continuous compounding leads to the familiar exponential growth curve 14 12 10 anje 6 2 0246B101214161B202224 Years Xi CHEN (chenxi01090bfsu.edu.cn) Investment Science 12/174Principal and Interest To calculate how much an account will have grown after any arbitrary length of time t ≈ k/m (measured in years), we use  1 + r m k =  1 + r m mt ⇒ lim m→∞ h1 + r m mit = e rt . Continuous compounding leads to the familiar exponential growth curve. Xi CHEN (chenxi0109@bfsu.edu.cn) Investment Science 12 / 174