Black Scholes Merton Model in Rust

$$ {C = N(d_1) S_t - N(d_2) Ke^{-rt}} $$

$$ where ; d_1 = \ln(\frac{S_t}{K}) + (r + \frac{\sigma^2}{2}) t $$

$$ where ; d_2 = d_1 - v\sqrt{t} $$