Fortitudo Technologies

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Fortitudo Technologies official. Homepage: https://fortitudo.tech LinkedIn: https://linkedin.com/company/fortitudo-tech GitHub: https://github.com/fortitudo-tech YouTube: https://youtube.com/@fortitudo-tech Substack: https://antonvorobets.substack.com

Conditional Maximum Loss (CML) is a multi-period generalization of Conditional Value-at-Risk (CVaR). CML accounts for the path-dependent tail risk between rebalancing times. Find a Python case study of how it compares to CVaR in the Substack article below. #quant #quantsky #finance #python #cml

CVaR vs CML Portfolio Optimization

This article sheds some light on when we should expect big differences between CVaR and CML portfolio optimization.

antonvorobets.substack.com

The September edition of the Portfolio Construction newsletter sheds some light on future technologies and case studies. In the end, there is a short popular posts recap since the last newsletter. Welcome back from summer holidays :-) #quant #quantsky #finance #markets #python #investing #risk

Future Technologies and Case Studies

September 2026 edition of the Portfolio Construction newsletter, shedding light on future technologies and case studies.

antonvorobets.substack.com

Portfolio optimization with consistent parameter uncertainty for derivative portfolios. This article presents an elegant solution to underlying and risk factor parameter uncertainty for tail risk optimization of derivatives portfolios. #quant #quantsky #finance #markets #python #derivatives #vol

Derivatives Portfolio Optimization Parameter Uncertainty Article

This post contains the latest version of the Derivatives Portfolio Optimization and Parameter Uncertainty article by Anton Vorobets.

open.substack.com

Simulating high-dimensional markets with Time- and State-Dependent Resampling. This article introduces a new class of resampling methods that allow us to combine time-conditioning with state-conditioning for investment simulation. #quant #quantsky #finance #markets #python #investing #investment

Time- and State-Dependent Resampling Article

This post contains the latest version of the Time- and State-Dependent Resampling article by Laura Kristensen and Anton Vorobets (2025).

open.substack.com

Inverse inference with macroeconomic Bayesian networks. While Bayesian networks are commonly used to formalize causal hypotheses about the economy, they can also be used to answer questions in the opposite direction. #quant #quantsky #finance #markets #python #investing #bayesian #macro #economics

Inverse Bayesian Inference

This Python case study illustrates how we can use Bayesian networks in an inverse way to, for example, determine the macro conditions for rate hikes.

open.substack.com

Don’t fall for the “we don’t have enough observations for CVaR optimization” excuse. Mean-variance exposes you to unnecessary tail risks and leaves a lot of money on the table. It should not be used for investment management in practice. substack.com/@antonvorobe... #quant #quantsky #investing

Anton Vorobets (@antonvorobets)

Don’t fall for the “we don’t have enough observations for CVaR optimization” excuse. I keep seeing this claim from mean-variance proponents, but it requires just a bit of CVaR experience to reject. ...

substack.com

Practical examples of Conditional Value-at-Risk (CVaR) risk budgeting and diversification. After studying the Python code, you should have a good understanding of how advanced portfolio construction is performed in practice. #quant #quantsky #finance #markets #python #investment #investing #cvar

CVaR Risk Budgeting

This article contains several Python examples of how CVaR risk budgeting is performed and analyzed through Sequential Entropy Pooling (SeqEP) stress tests.

open.substack.com

An easy way to handle derivatives in portfolio optimization, risk decomposition and performance evaluation. For some reason, derivatives are still treated in unnecessary complex ways. However, once we separate exposure from price, it actually becomes quite easy. #quant #quantsky #finance #python

Derivatives Portfolio Management Article

This post contains the latest version of the Portfolio Management Framework for Derivative Instruments article by Anton Vorobets.

open.substack.com

“This large organization uses it” is probably the worst argument for using an investment tool. With today’s technology, it is possible to build portfolios designed to have good tail risk-adjusted returns using realistic investment distributions: substack.com/@antonvorobe... #quant #quantsky #cvar

Anton Vorobets (@antonvorobets)

“This large organization uses it” is probably the worst argument for using an investment tool. I sometimes hear it as a justification for old methods like CAPM, Black-Litterman and mean-variance. An...

substack.com

How sensitive is portfolio optimization to minor changes in expected returns when we specify the problem properly? Find out what happens when we introduce real-world aspects such as tracking error constraints and transactions costs. #quant #quantsky #finance #markets #python #investing #risk

Portfolio Optimization Expected Return Sensitivity

This article includes a Python CVaR optimization case study to assess Resampled Portfolio Stacking's sensitivity to expected return estimates.

open.substack.com