AEQUARA · Institutional Analytics

Institutional Portfolio
Intelligence.

DCC-GARCH dynamic correlations, Hierarchical Risk Parity weights, and Ledoit-Wolf shrinkage — delivered as an institutional PDF memo.

$299 per report. Delivered in 24 hours.

DCC-GARCH
Engle (2002) dynamic conditional correlations
HRP
Lopez de Prado (2016) hierarchical risk parity
Ledoit-Wolf
Oracle shrinkage estimator (2004)
Claude AI
Institutional narrative synthesis
Report Contents

A 4-section institutional memo. No filler.

01

Executive Summary

Key risk findings. The single most important insight from your portfolio data. Recommended action in 3 sentences.

02

Risk Analysis

Portfolio volatility vs benchmarks. Sharpe ratio. DCC-GARCH stress correlations — what happens to your correlations during a selloff.

03

HRP Portfolio Construction

Optimal weights from Hierarchical Risk Parity (Lopez de Prado 2016). How they differ from your current allocations and why.

04

Factor Exposures & Next Steps

Beta, alpha, annualized vol per position. 3 specific, actionable next steps you should take within 30 days.

Methodology

The math is peer-reviewed. Not invented here.

Ledoit-Wolf Shrinkage

Ledoit & Wolf, 2004
Σ* = (1−δ)S + δμ̄I

Analytical shrinkage of the sample covariance toward scaled identity. Solves the ill-conditioning problem in high-dimensional covariance estimation. Better portfolio optimization than raw sample covariance.

DCC-GARCH(1,1)

Engle, 2002
Q_t = (1−a−b)Q̄ + aε_{t-1}ε'_{t-1} + bQ_{t-1}

Two-step: fit GARCH(1,1) to each return series → DCC(1,1) on standardized residuals. Captures time-varying correlations. Key finding: correlations spike during stress — knowing this prevents underestimating portfolio tail risk.

Hierarchical Risk Parity

Lopez de Prado, 2016
d_ij = √((1−ρ_ij)/2)

Converts covariance to correlation distance matrix → hierarchical clustering → quasi-diagonalization → recursive bisection. Allocates inversely proportional to sub-portfolio variance. Out-of-sample diversification outperforms naive 1/N and Markowitz.

$299
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Full quant analysis + institutional PDF memo
Delivered within 24 hours by email
Ledoit-Wolf covariance matrix
HRP optimal weights vs your current
DCC-GARCH dynamic correlations
Factor exposures per position
NEXUS AI institutional narrative
4-section PDF memo emailed to you
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