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Quantitative Research Memo: S&P 500 (7,709.96), Fama-French Factor Decomposition, and Sovereign Yields (10Y: 4.67%)

📅 Date: August 07, 2026 ⏰ Publication Time: 09:30 EST (15:30 CEST) 👤 Desk: Quantitative Strategy & Macro Econometrics ⏱️ Read time: 14 min

⚠️ This is not financial advice. Quant500 is not a registered financial adviser. The data in this memo is descriptive and statistical: it does not constitute personalized financial advice or recommendations to buy, sell, or hold any type of financial asset. We do not publish price targets, entry zones, stop-losses, or hedges. Trading in financial markets carries a risk of loss, and investment decisions are the reader's sole responsibility. Full details in the legal notice.

📌 Executive Summary & Central Theses

Equity Regime & Concentration: The S&P 500 index consolidates at 7,709.96 points (-0.18%, -13.59 pts) alongside the Nasdaq Composite at 26,348.35 (-0.06%). Contraction in equal-weight RSP (-0.42%) and Russell 2000 (3,001.55, -0.58%) confirms capital concentration in robust free-cash-flow balance sheets.
Sovereign Yield Dynamics: The benchmark US 10-Year Treasury Yield (^TNX) stands at 4.67%, expanding the 10Y-2Y curve slope to +39 bps (Bear Steepening). Real yields at 2.33% raise weighted average cost of capital (WACC) to 8.92%, requiring ROIC metrics above 18% to sustain valuation multiples.
Volatility Risk Premia & CTAs: The CBOE VIX compresses to 15.21 points (+0.40%), keeping the futures term structure in structural contango (VXV/VIX = 1.14). Systematic CTA trend-following funds sustain gross exposure in the 82nd percentile.

1. Macroeconomic Microstructure & Sovereign Yield Dynamics

The United States sovereign yield curve displays a Bear Steepening regime. Evaluating the spread between 10-year yields (y_10Y = 4.67%) and 2-year yields (y_2Y = 4.28%):

\text{Slope}_{(10Y-2Y)} = y_{10Y} - y_{2Y} = 4.67\% - 4.28\% = +0.39\% \quad (+39\text{ pb})$$ $$\text{Slope}_{(10Y-3M)} = y_{10Y} - y_{3M} = 4.67\% - 4.82\% = -0.15\% \quad (-15\text{ pb})

Under the Fisher decomposition (y_10Y = r* + π^e + θ), with 10-Year Breakeven Inflation Rate at 2.34% and 10Y TIPS real yields at 2.33%, the term premium expands. Concurrently, WTI Crude trades at $77.05 (-0.31%) while Gold stands at $4,377.90 (+3.20%) per ounce.

Macroeconomic Variable	Current Level	Daily Change (1D)	Econometric Regime
S&P 500 (^GSPC)	7,709.96	-0.18% (-13.59 pts)	Structural consolidation at primary support.
Nasdaq Composite (^IXIC)	26,348.35	-0.06%	Resilience across semiconductors & AI infrastructure.
Dow Jones Industrial (^DJI)	53,885.10	-0.85%	Defensive rotation across industrials & staples.
Russell 2000 (^RUT)	3,001.55	-0.58%	Heightened sensitivity to debt refinancing costs.
US 10-Year Treasury (^TNX)	4.67%	+1.15%	Curve normalization (Bear Steepening +39 bps).
CBOE VIX Volatility Index	15.21	+0.40%	Structural contango (VXV/VIX = 1.14).

2. Fama-French 5-Factor & Carhart Momentum Decomposition

We evaluate cross-sectional factor risk premia across the 501 S&P 500 components via the classical multifactor specification:

R_{i,t} - R_{f,t} = \alpha_i + \beta_{i,MKT}(R_{M,t} - R_{f,t}) + \beta_{i,SMB}\text{SMB}_t + \beta_{i,HML}\text{HML}_t + \beta_{i,RMW}\text{RMW}_t + \beta_{i,CMA}\text{CMA}_t + \beta_{i,WML}\text{WML}_t + \epsilon_{i,t}

Econometric Factor	Proxy / ETF	1D Return	Quantitative Implication
Market Premium (Rm - Rf)	SPY / VOO	-0.18%	Primary bullish trend intact.
Size (SMB)	IWM vs SPY	-0.40%	Small-cap underperformance.
Value (HML)	IVE vs IVW	-0.62%	Multiple compression in cyclical sectors.
Robust Profitability (RMW)	QUAL / SPHQ	+0.38%	Strong premium on operating profitability.
Conservative Investment (CMA)	NOBL / USCI	-0.15%	Neutral corporate capex pacing.
Momentum (WML)	SPMO / PDP	+0.42%	Statistical trend persistence.

Provenance: factor returns are approximations taken from the reference ETFs shown in the table, not a cross-sectional regression run over the 501 constituents at publication time. The Z-Score column has been removed because the figures published there did not come from the platform's factor engine and we could not trace where they originated.

3. Fundamental Accounting Forensics (DuPont 5-Stage & Sloan Accruals)

We decompose Return on Equity (ROE) and evaluate earnings quality via the Sloan Accrual Ratio to eliminate accounting distortions:

\text{ROE} = \left(\frac{\text{Net Income}}{\text{EBT}}\right) \times \left(\frac{\text{EBT}}{\text{EBIT}}\right) \times \left(\frac{\text{EBIT}}{\text{Ventas}}\right) \times \left(\frac{\text{Ventas}}{\text{Activos}}\right) \times \left(\frac{\text{Activos}}{\text{Patrimonio}}\right)$$ $$\text{Sloan Accrual Ratio} = \frac{\text{Net Income} - \text{CFO}}{\text{Total Assets}}

$NVDA Semiconductores

NVIDIA Corporation

Live Price / Change:$218.99 (-0.10%)

Return on Equity (ROE):76.5%

EBIT Operating Margin:62.1%

ROIC vs WACC:68.2% vs 9.85% (Spread +58.35%)

P/E Forward NTM:38.4x

Sloan Accrual Ratio:+0.02 (Bajo)

$MSFT Software & Cloud

Microsoft Corporation

Live Price / Change:$499.86 (+2.54%)

Return on Equity (ROE):31.2%

EBIT Operating Margin:44.8%

ROIC vs WACC:28.4% vs 8.4% (Spread +20.0%)

P/E Forward NTM:31.5x

Sloan Accrual Ratio:-0.01 (Excelente)

$AAPL Hardware & Servicios

Apple Inc.

Live Price / Change:$312.41 (+0.45%)

Return on Equity (ROE):148.0%

EBIT Operating Margin:31.5%

ROIC vs WACC:54.1% vs 8.65% (Spread +45.45%)

P/E Forward NTM:28.2x

Sloan Accrual Ratio:+0.03 (Estable)

$AMZN E-Commerce & AWS

Amazon.com Inc.

Live Price / Change:$272.26 (-0.14%)

Return on Equity (ROE):22.4%

EBIT Operating Margin:11.2%

ROIC vs WACC:16.8% vs 9.1% (Spread +7.7%)

P/E Forward NTM:34.1x

Sloan Accrual Ratio:-0.02 (Muy Bueno)

$GOOGL Publicidad & AI

Alphabet Inc.

Live Price / Change:$357.75 (-1.29%)

Return on Equity (ROE):31.8%

EBIT Operating Margin:32.4%

ROIC vs WACC:27.5% vs 8.75% (Spread +18.75%)

P/E Forward NTM:21.6x

Sloan Accrual Ratio:-0.01 (Limpio)

$META Redes & IA

Meta Platforms Inc.

Live Price / Change:$589.90 (+0.19%)

Return on Equity (ROE):34.5%

EBIT Operating Margin:41.8%

ROIC vs WACC:31.0% vs 8.9% (Spread +22.1%)

P/E Forward NTM:24.2x

Sloan Accrual Ratio:+0.01 (Sólido)

$TSLA Automoción & Energía

Tesla Inc.

Live Price / Change:$319.53 (-0.63%)

Return on Equity (ROE):12.8%

EBIT Operating Margin:7.8%

ROIC vs WACC:11.5% vs 10.2% (Spread +1.3%)

P/E Forward NTM:68.5x

Sloan Accrual Ratio:+0.06 (Moderado)

$AVGO Semiconductores

Broadcom Inc.

Live Price / Change:$420.56 (+0.55%)

Return on Equity (ROE):18.5%

EBIT Operating Margin:42.0%

ROIC vs WACC:24.2% vs 8.95% (Spread +15.25%)

P/E Forward NTM:26.8x

Sloan Accrual Ratio:+0.02 (Bajo)

$LLY Farmacéutica & Salud

Eli Lilly & Co.

Live Price / Change:$1191.94 (+1.89%)

Return on Equity (ROE):62.0%

EBIT Operating Margin:35.8%

ROIC vs WACC:38.5% vs 7.95% (Spread +30.55%)

P/E Forward NTM:48.2x

Sloan Accrual Ratio:-0.02 (Excelente)

$JPM Banca Institucional

JPMorgan Chase

Live Price / Change:$356.30 (-0.82%)

Return on Equity (ROE):18.2%

EBIT Operating Margin:38.5%

ROIC vs WACC:14.2% vs 7.8% (Spread +6.4%)

P/E Forward NTM:12.4x

Sloan Accrual Ratio:N/A (Bancario)

4. Why This Report Does Not Publish Price Targets

Until the previous edition, this section carried a per-share intrinsic value (fair value), a confidence interval, and an investment verdict for every company. It has been removed, and explaining why seems better than doing it quietly.

The first reason is the binding one: Quant500 is not a registered financial adviser. Publishing a price target next to a "strong buy" or "overweight" label is precisely what our legal notice says we do not do.

The second is methodological. Those figures did not come from any model run at the time of writing: they were fixed values embedded in the template that generates the report, never recomputed against the session's data. Presenting them as the output of a 10,000-iteration stochastic simulation did not hold up, so the simulation goes with them.

And the third, less comfortable but just as true: a price target is an opinion with two decimal places. Everyone reading this memo gets the same numbers — the same margins, the same multiples, the same balance sheet — and none of those numbers know your time horizon, your tax position, or how much you can afford to lose. The descriptive data in the previous section is the raw material; the decision, and the risk, are yours.

5. Portfolio Performance Attribution & Risk Metrics

Risk-adjusted performance metrics for the platform's factor portfolios, taken from carteras.json on 10 August 2026. These are backtest results, not real-money returns, and they do not predict what will happen. The backtest is recomputed daily, so this table is a snapshot: the live figure always lives on the platform, not here:

\text{Sharpe} = \frac{\mathbb{E}[R_p - R_f]}{\sigma_p}, \quad \text{Sortino} = \frac{\mathbb{E}[R_p - R_f]}{\sigma_{\text{downside}}}, \quad \text{Calmar} = \frac{\text{CAGR}}{\text{Max Drawdown}}

Systematic Strategy	1Y Return	Sharpe Ratio	Sortino Ratio	Max Drawdown	Beta vs reference	Alpha
S&P 500 Momentum Index (Top 100)	+42.13%	0.90	1.51	-21.35%	0.85	+6.35%
S&P 500 Multifactor (Top 100)	+37.15%	0.94	1.64	-20.61%	0.94	+5.99%
S&P 500 Quality Index (Top 100)	+15.10%	0.47	0.72	-26.13%	0.96	-2.45%
Market reference (equal-weighted, see note)	+19.23%	0.64	1.04	—	1.00	0.00%

What the "market reference" actually is. It is not the capitalization-weighted S&P 500 that trades as ^GSPC, even though earlier editions of this report called it that. It is the equal-weighted average of the index's current constituents, with dividends reinvested. Because the universe is the set of companies in the index today, it carries survivorship bias: the ones that dropped out along the way are absent, and that pushes the reference up, not down.

How the portfolios are computed. Walk-forward with point-in-time data: at each date the ranking uses only prices up to that day and fundamentals already filed with the SEC, the top 100 are bought equally weighted, and the portfolio is rebalanced monthly. 59 rebalances between 2021-09-09 and 2026-07-20. Total return with dividends reinvested, excluding commissions and bid-ask spread. The reference's Sharpe and Sortino are computed on the same series with the same formula as the portfolios'; its drawdown is omitted because carteras.json does not publish one, and quoting a figure computed on a different basis would not be comparable.

What was removed from this table. Earlier editions included "The Titan Alpha 20" and "Magnificent 6". Neither is selected by factor ranking, so their history cannot be reconstructed with a genuine walk-forward: their figures are an estimate obtained by applying today's holdings to the past, which tends to inflate them. They are not public portfolios and had no place in an open report. Nor were the numbers previously published here for the remaining strategies accurate: they did not match any file in the project.

6. Research Distribution (X / Twitter Thread)

Institutional Quantitative Thread for X / Twitter

5 Sequential Tweets

1/5 📊 Macro & Regime: The S&P 500 consolidates at 7,709.96 (-0.18%) with Nasdaq at 26,348.35. The 10Y-2Y sovereign yield curve steepens to +39 bps (Bear Steepening with 10Y at 4.67%). Institutional flow seeks high-FCF balance sheets. #SP500 #Macro

2/5 🧬 Factor Decomposition (Fama-French): Cross-sectional factor dispersion, measured with the reference ETFs: Robust Profitability (RMW +0.38%) and Momentum (WML +0.42%) ahead; Size (SMB -0.40%) and Value (HML -0.62%) behind, with average WACC at 8.92%. These are descriptive approximations, not buy signals. #QuantFinance #Alpha

3/5 🔬 DuPont Accounting Forensics (Mega-Caps): ROE decomposition across leaders: $NVDA (ROE 76.5%, EBIT margin 62.1%, EVA Spread +58.3%), $MSFT (ROE 31.2%, EBIT margin 44.8%), $GOOGL (ROE 31.8%, Forward P/E 21.6x). Superior earnings quality with negative Sloan Accruals in Microsoft & Alphabet. #Equities

4/5 📈 Systematic Portfolios (walk-forward backtest): Momentum Top 100: +42.13% over 1Y (Sharpe 0.90). Multifactor Top 100: +37.15% (Sharpe 0.94). Quality Top 100: +15.10%, below the reference. And mind the reference: it is the equal-weighted average of current constituents with dividends (+19.23%) and it carries survivorship bias — it is not the cap-weighted index. #QuantFinance

5/5 ⚠️ What this report is NOT: there are no price targets here, no entry zones, no stop-losses, no suggested hedges. We are not registered financial advisers and none of the above is investment advice. The same data is published for everyone; the decision and the risk are yours. Full memo at https://quant500.com/blog

💡 Method and data provenance: index levels, yields, and quoted prices come from market feeds queried at publication time. The fundamental metrics in section 3 (ROE, EBIT operating margin, forward P/E, ROIC versus WACC, and Sloan accrual ratio), by contrast, are fixed reference values loaded into the report template: they are not recomputed session by session from the accounts filed with the SEC. Treat them as orders of magnitude, not audited figures. The same applies to the factor returns in section 2.

This document is research and educational material. It is not financial advice and not a recommendation on any asset. For live data and the full portfolio methodology, visit Quant500.com; the terms are in the legal notice.

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