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//The Greeks Calculator for European vanilla options | |
//by Todd Moses | |
#include <iostream> | |
#include <cmath> | |
//standard normal probability density function | |
double PDF(const double d) { | |
return (1.0/(pow(2*M_PI,0.5)))*exp(-0.5*d*d); | |
} |
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// turing.go | |
// by Todd Moses | |
package main | |
import ( | |
"fmt" | |
) | |
type Tape struct { |
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symbol,year,quarter,assets,liabilities,earnings | |
11100,2018,1,8614953000,3480139000,3052336000 | |
3030,2018,1,416657000,220331000,-1972000 |
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symbol,date,open,high,low,pe | |
1130,20180531,43.40,44.71,42.97,7.84 |
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def partition_function(SIGMA, DELTA, XT, Q): | |
print("Calculating the partition function...\nThis step will take quite a while... so strap yourself in...\n") | |
SIGMA=[[0 for x in range(len(DELTA))] for y in range(len(Q))] | |
for k in range (0, len(Q)): | |
if k%30==0: | |
print("calculating i=" + str(k) + ' out of ' + str(len(Q)-1)) | |
for j in range (0,len(DELTA)): | |
for i in range (0,len(XT)-1): | |
if i < int(len(XT)/DELTA[j]): | |
SIGMA[k][j]=SIGMA[k][j] + abs(XT[i*DELTA[j]+DELTA[j]]-XT[i*DELTA[j]])**Q[k] |
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def estimate_multifractal_spectrum(TAU_Q, Q, MIN_Q, MAX_Q): | |
TAU_Q_ESTIMATED = np.polyfit(Q[MIN_Q:MAX_Q], TAU_Q[MIN_Q:MAX_Q], 2) | |
F_A = [0 for x in range(len(q)-10)] | |
p = [0 for x in range(len(q)-10)] | |
a = TAU_Q_ESTIMATED[0][0] | |
b = TAU_Q_ESTIMATED[1][0] | |
c = TAU_Q_ESTIMATED[2][0] |
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def lognormal_cascade(k, v,ln_lambda, ln_theta): | |
k = k - 1 | |
m0 = np.random.lognormal(ln_lambda,ln_theta) | |
m1 = np.random.lognormal(ln_lambda,ln_theta) | |
M = [m0, m1] | |
if (k >= 0): | |
d=[0 for x in range(0,2)] |
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new_cascade = list(np.array(lognormal_cascade(k=K, v=1, ln_lambda = simulated_lambda, ln_theta = simulated_sigma)).flat) | |
tradingtime = 2**K*np.cumsum(new_cascade)/sum(new_cascade) |
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from fbm import FBM | |
new_fbm_class = FBM(n = 10*2**K+1, hurst = simulated_H, length = magnitude_parameter, method='daviesharte') | |
new_fbm_simulation = new_fbm_class.fbm() |
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from fbm import FBM | |
from fbm import fbm, fgn, times | |
from fbm import MBM | |
from fbm import mbm, mgn, times | |
import math | |
def MMAR(K, simulated_H, simulated_lambda, simulated_sigma, original_price_history, magnitude_parameter, GRAPHS): | |
# --- VARIABLES --- |