AdvancedPortfolio ManagementPython
Monte Carlo Portfolio Simulator¶
This utility helps you forecast possible futures for a portfolio using random simulations—a key idea in finance, risk management, and statistics!
What is a Monte Carlo Simulation?¶
- It uses repeated random sampling to simulate thousands of paths your portfolio could take.
- Helps answer: "What might my $10,000 investment be worth in 10 years, factoring in market randomness?"
Why Is It Useful?¶
- See the spread of possible outcomes (best case, worst case, average)
- Plan for risk, not just averages
- Core technique used by institutional and retail investors, and in exams/interviews
How to Use¶
- Choose your
initial_investment, an average return (mu), volatility (sigma), number of periods, and number of simulations. - Import and call
monte_carlo_sim()or use theplot_monte_carlo()function to visualize paths.
Example¶
from simulator import monte_carlo_sim, plot_monte_carlo
init = 10000
mu = 0.07 / 252 # 7% yearly mean
sigma = 0.15 / (252**0.5) # 15% yearly volatility
periods = 10 * 252
results = monte_carlo_sim(init, mu, sigma, periods)
plot_monte_carlo(init, mu, sigma, periods, simulations=100)
Key Ideas¶
- Simulates possible (not guaranteed) futures—actual outcomes may differ
- Shows the importance of diversification and volatility management
- Inspires deeper learning in probability and finance
For more info, see the docstrings in simulator.py and other UTILS modules!
Continue in Portfolio Management¶
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This folder contains utilities for portfolio management, risk analysis, and investment optimization.
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Portfolio Management - Black Litterman
The Black-Litterman (1990) model addresses the instability of mean-variance optimization by blending market equilibrium returns with investor views using Bayesian updating.
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Portfolio Management - Risk Parity
Risk parity builds a portfolio where every asset contributes the same amount of risk to the total — not the same amount of capital. A naive 60/40 stock/bond portfolio is ~90% equity risk despite being only 60% equity capital; risk parity fixes that imbalance.
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