Estimation quiz!

[Albert Chan]

Third way, using the fact that continuous compouding maximize capital growth.
For finite periods n, r>0: (1 + r/n)^n < e^r

Let r = pi - e, n = e:

pi^e = (e + r)^e = e^e * (1 + r/n)^n < e^e * e^r = e^pi

→ e^pi > pi^e