Created
January 14, 2019 10:36
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How to make a market that is complex but learnable
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import numpy as np | |
def make_stock(length=100, num_stocks=2): | |
alpha = 0.9 | |
k = 2 | |
cov = np.random.normal(0, 5, [num_stocks, num_stocks]) | |
cov = cov.dot(cov.T) # This is a positive semidefinite matrix, e.g. a covariance matrix | |
A = np.random.multivariate_normal(np.zeros(num_stocks), cov, size=[length]) # sample noise, with covariance | |
B = np.random.multivariate_normal(np.zeros(num_stocks), cov, size=[length]) # sample another noise, with covariance | |
bs = [np.zeros(shape=num_stocks)] # | |
ps = [np.zeros(shape=num_stocks)] # The prices | |
for a, b in zip(A, B): | |
bv = alpha * bs[-1] + b # calculate some trend | |
bs.append(bv) | |
pv = ps[-1] + bs[-2] + k * a # Previosu price + previous trend factor, plus some noise | |
ps.append(pv) | |
# ps = [0] | |
# for a,b,common in zip(A,BB,commonNoise): | |
# ps.append(ps[-1]+b+k*a+2*common) | |
# P = np.array(ps) | |
# P = np.exp(P/(P.max()-P.min())) | |
ps = np.array(ps).T # reshape it so that its [length,stocks] | |
R = ps.max(1) - ps.min(1) # Scale factor | |
prices = np.exp(ps.T / (R)) *np.random.uniform(10,250,num_stocks) # Normalize, exponantiate then make the prices more varied | |
return prices |
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