Research / VolEdge: The Variance Risk Premium

Working paperWorking paper, July 2026. Not peer reviewed.

VolEdge: Measuring and Trading the Variance Risk Premium with Model-Free Risk-Neutral Moments

The gap between what options price and what the underlying realizes is the variance risk premium. Can it be measured model-free, and does it pay to trade?

Key results

0.85 vs 0.68
Sharpe of the GARCH volatility-targeted SPY/BIL sleeve vs SPY, net of costs (evaluation 2020 to 2024, including Covid)
-19.7% vs -33.7%
maximum drawdown, a 41% reduction
-0.16
Sharpe of naive short-variance harvesting: the premium pays for crash risk, it is not free yield
0.000 pp
difference between the backtest engine and buy-and-hold at any rebalance frequency
Growth of $1: the GARCH volatility-targeted sleeve earns less than buy-and-hold but with a far smaller drawdown. Walk-forward, net of costs.
Figure 1. Growth of $1: the GARCH volatility-targeted sleeve earns less than buy-and-hold but with a far smaller drawdown. Walk-forward, net of costs.

Abstract

VolEdge is a full-stack research platform built around a single thesis: the gap between what options price and what the underlying realizes is the risk premium, and that gap can be measured and traded. The platform extracts the risk-neutral distribution model-free via Bakshi-Kapadia-Madan (BKM) moments and compares it, horizon-matched, against the physical distribution estimated from realized returns; the spread Q minus P is surfaced for variance, skew, and kurtosis. A no-look-ahead walk-forward engine then backtests premium-driven strategies. We report two honest results on free data (2019 to 2024, net of modeled costs): a GARCH(1,1) volatility-targeted strategy beat SPY buy-and-hold on a risk-adjusted basis (Sharpe 0.85 vs. 0.68) with 41% lower maximum drawdown, while a naive long-only variance-premium harvest lost money (Sharpe -0.16), empirically confirming the premium as compensation for crash risk rather than harvestable alpha. The BKM extractor is validated against Black-Scholes chains of known volatility, and the backtest engine reproduces buy-and-hold to 0.000 pp at any rebalance frequency.

Methods

  • Bakshi-Kapadia-Madan model-free risk-neutral variance, skew and kurtosis from live option chains
  • Implied volatility and Greeks computed locally (Black-Scholes with Brent root-finding); runs on free data with no API key
  • Walk-forward engine with strict t-1 data boundaries, sandboxed user strategies, and a parameter-sensitivity surface
  • FastAPI backend and a React front end with 18+ panels, including a 3D implied-volatility surface

What it does not show

  • Free data and a five-year evaluation window; the Sharpe comparison depends on including 2020.
variance risk premiumrisk-neutral momentsBKMvolatility targetingwalk-forward backtesting

Cite

BibTeX
@techreport{yadav2026voledge,
  title       = {VolEdge: Measuring and Trading the Variance Risk Premium with Model-Free Risk-Neutral Moments},
  author      = {Yadav, Tanishk},
  year        = {2026},
  institution = {NYU Tandon School of Engineering},
  type        = {Working paper}
}

Tanishk Yadav

MS Financial Engineering at New York University, graduating May 2027, and looking for full-time quantitative research roles. My master's thesis measures, in real time, when US debt dynamics turn self-reinforcing.

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