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fs = 30.17; x = 31; t=16/365; r=0.051; v=0.3; q=0.01;
value, delta, gamma, theta, vega, rho = black_scholes("p", fs=fs, x=x, t=t, r=r, v=v)
value, delta, gamma, theta, vega, rho = american("p", fs=fs, x=x, t=t, r=r, q=q, v=v)

assert_close(_gbs('c', 100, 100, 2, 0.05, 0.05, 0.25)[4], 50.7636345571413)
assert_close(_gbs('p', 100, 100, 2, 0.05, 0.05, 0.25)[4], 50.7636345571413)

assert_close(_gbs('c', 100, 100, 1, 0.05, 0, 0.15)[0], 5.68695251984796)
assert_close(_gbs('c', 100, 100, 1, 0.05, 0, 0.15)[1], 0.50404947485)
assert_close(_gbs('c', 100, 100, 1, 0.05, 0, 0.15)[2], 0.025227988795588)
assert_close(_gbs('c', 100, 100, 1, 0.05, 0, 0.15)[3], -2.55380111351125)
...
assert_close(_gbs('p', 100, 100, 1, 0.05, 0, 0.15)[0], 5.68695251984796)
assert_close(_gbs('p', 100, 100, 1, 0.05, 0, 0.15)[1], -0.447179949651)
assert_close(_gbs('p', 100, 100, 1, 0.05, 0, 0.15)[2], 0.025227988795588)
assert_close(_gbs('p', 100, 100, 1, 0.05, 0, 0.15)[3], -2.55380111351125)