Modern Portfolio Theory III: The Efficient Frontier in log volatility—return space

Marton Trencseni - Mon 30 December 2024 • Tagged with markowitz, portfolio, capm, volatility

In the previous two articles, we explored the coverage of random portfolios in log volatility—return space, both with and without a risk-free asset. We now take the next step, and calculate the Efficient Frontier and Capital Market Line of Markowitz’s theory.

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Modern Portfolio Theory II: Random portfolio coverage in log volatility—return space with a risk free asset

Marton Trencseni - Fri 20 December 2024 • Tagged with markowitz, portfolio, capm, volatility

In a previous article I simulated random portfolios using Monte Carlo methods for the 2023 daily closing prices of the 100 stocks constituting the Nasdaq-100. Here I add the risk-free asset to the portfolio and examine how it affects the coverage in log volatility—return space.

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Modern Portfolio Theory I: Random portfolio coverage in log volatility—return space

Marton Trencseni - Sun 01 December 2024 • Tagged with markowitz, portfolio, capm, volatility

I examine the coverage of random portfolios in log volatility—return space using Monte Carlo methods with different randomization techniques for the 2023 daily closing prices of the 100 stocks constituting the Nasdaq-100.

Monte Carlo casino

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