from IPython.display import HTML HTML('') HTML('') HTML('') from IPython.parallel import Client c = Client() c.history, c.ids dv = c[:] print(type(dv)) lv = c.load_balanced_view() print(type(lv)) dv.results.items() ar = dv.scatter('x', range(64),block=True) print(type(ar)) ar = dv.scatter('x', range(1024*1024*30),block=False) ar.get(), ar.progress, ar.elapsed, ar.ready(), ar.serial_time, ar.wall_time l = c[4]['x'] print(4, min(l), max(l), len(l)) l = c[6]['x'] print(6, min(l), max(l), len(l)) c[0].push(dict(x=[0])) l= dv.pull('x',targets=0,block=True) print(0, min(l), max(l), len(l)) l = c[7].pull('x').get() print(7, min(l), max(l), len(l)) dv.push(dict(x=[1])) dv.gather('x').get() import gc gc.collect() with c[:].sync_imports(): import gc %px gc.collect() with c[:].sync_imports(): import numpy %px x = numpy.random.randint(0,1024,10) %%px --targets ::2 x.sort() print(x, numpy.average(x)) %pxconfig --noblock --targets [0,1,2,3] %px print (x, numpy.average(x)) %pxresult from IPython.parallel import CompositeError import random print( c[0].pull('x').get() ) c[0].execute('numpy.append(x,[1,2,3])') print( c[0].pull('x').get() ) i = random.choice(c.ids) c[i].execute('x = numpy.append(x,[0])') print( i, c[i].pull('x').get() ) try: dv.execute('y = int(numpy.max(x)) / int(numpy.min(x))', block=True) except CompositeError, e: print e %px print y %pxresult %%px --targets 7 from IPython import parallel parallel.bind_kernel() c[7].execute("%qtconsole") import time, os def getFewDetailsWithDelay(delay): time.sleep(delay) return os.getpid() getFewDetailsWithDelay(0) dv.apply_sync(getFewDetailsWithDelay,3) import random, time, os from IPython.parallel import require @require(random, os,time) def getFewDetails(): delay = random.randint(0,10) time.sleep(delay) return os.getpid() ar = dv.apply_async(getFewDetails) ar.progress ar.progress, ar.get(), ar.wall_time, ar.serial_time ar.metadata %matplotlib inline import matplotlib.pyplot as plt import sys import time import numpy as np price = 100.0 # Initial price rate = 0.05 # Interest rate days = 260 # Days to expiration paths = 100000 # Number of MC paths n_strikes = 6 # Number of strike values min_strike = 90.0 # Min strike price max_strike = 110.0 # Max strike price n_sigmas = 5 # Number of volatility values min_sigma = 0.1 # Min volatility max_sigma = 0.4 # Max volatility strike_vals = np.linspace(min_strike, max_strike, n_strikes) sigma_vals = np.linspace(min_sigma, max_sigma, n_sigmas) print "Strike prices: ", strike_vals print "Volatilities: ", sigma_vals def price_option(S=100.0, K=100.0, sigma=0.25, r=0.05, days=260, paths=10000): """ Price European and Asian options using a Monte Carlo method. Parameters ---------- S : float The initial price of the stock. K : float The strike price of the option. sigma : float The volatility of the stock. r : float The risk free interest rate. days : int The number of days until the option expires. paths : int The number of Monte Carlo paths used to price the option. Returns ------- A tuple of (E. call, E. put, A. call, A. put) option prices. """ import numpy as np from math import exp,sqrt h = 1.0/days const1 = exp((r-0.5*sigma**2)*h) const2 = sigma*sqrt(h) stock_price = S*np.ones(paths, dtype='float64') stock_price_sum = np.zeros(paths, dtype='float64') for j in range(days): growth_factor = const1*np.exp(const2*np.random.standard_normal(paths)) stock_price = stock_price*growth_factor stock_price_sum = stock_price_sum + stock_price stock_price_avg = stock_price_sum/days zeros = np.zeros(paths, dtype='float64') r_factor = exp(-r*h*days) euro_put = r_factor*np.mean(np.maximum(zeros, K-stock_price)) asian_put = r_factor*np.mean(np.maximum(zeros, K-stock_price_avg)) euro_call = r_factor*np.mean(np.maximum(zeros, stock_price-K)) asian_call = r_factor*np.mean(np.maximum(zeros, stock_price_avg-K)) return (euro_call, euro_put, asian_call, asian_put) %timeit -n1 -r1 print price_option(S=100.0, K=100.0, sigma=0.25, r=0.05, days=260, paths=100000) rc = Client() view = rc.load_balanced_view() async_results = [] %%timeit -n1 -r1 for strike in strike_vals: for sigma in sigma_vals: # This line submits the tasks for parallel computation. ar = view.apply_async(price_option, price, strike, sigma, rate, days, paths) async_results.append(ar) rc.wait(async_results) # Wait until all tasks are done. len(async_results) results = [ar.get() for ar in async_results] prices = np.empty(n_strikes*n_sigmas, dtype=[('ecall',float),('eput',float),('acall',float),('aput',float)] ) for i, price in enumerate(results): prices[i] = tuple(price) prices.shape = (n_strikes, n_sigmas) plt.figure() plt.contourf(sigma_vals, strike_vals, prices['ecall']) plt.axis('tight') plt.colorbar() plt.title('European Call') plt.xlabel("Volatility") plt.ylabel("Strike Price") plt.figure() plt.contourf(sigma_vals, strike_vals, prices['acall']) plt.axis('tight') plt.colorbar() plt.title("Asian Call") plt.xlabel("Volatility") plt.ylabel("Strike Price") plt.figure() plt.contourf(sigma_vals, strike_vals, prices['eput']) plt.axis('tight') plt.colorbar() plt.title("European Put") plt.xlabel("Volatility") plt.ylabel("Strike Price") plt.figure() plt.contourf(sigma_vals, strike_vals, prices['aput']) plt.axis('tight') plt.colorbar() plt.title("Asian Put") plt.xlabel("Volatility") plt.ylabel("Strike Price") HTML('') HTML('') HTML('') HTML('') HTML('') HTML('') from IPython.display import YouTubeVideo YouTubeVideo('z1DQzrpXN_U')