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Novel Price Estimator Guaranteed to Produce Non-Negative Prices

Reported by Investresolve
Jun 25, 2020· 2 min read
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Key Takeaways
  • • ReSolve Asset Management's research team developed a novel price estimator mathematically guaranteed to produce non-negative prices, addressing a critical gap exposed by the April 2020 crude oil market dysfunction.
  • • The estimator solves a practical portfolio management problem: negative asset prices render return calculations meaningless and distort capital allocation models that rely on position weighting.
  • • When applied to the CL 2020K Crude Oil contract during the period of negative pricing, the new estimator produced realistic price levels while exponential weighted moving averages (EWMA) with conventional spans fell into negative territory.
  • • The conceptual foundation recognizes that capital remains at risk in short positions and leveraged holdings even when underlying prices turn negative, establishing a theoretical basis for the non-negative constraint.
  • • The methodology has immediate applications for risk management in commodity futures, options pricing, and portfolio construction frameworks where negative prices create computational and analytical failures.
Summary
In response to the crude oil market's historic price collapse in April 2020, ReSolve Asset Management developed a novel price estimator specifically engineered to eliminate negative price outcomes. The research initiative addressed a fundamental operational problem: when asset prices turn negative, as crude oil futures briefly did, standard return calculations become meaningless and position-weighting models used in capital allocation break down.

The core insight underlying the estimator recognizes an asymmetry in financial risk management. While negative prices might theoretically signal extreme dislocations in certain derivative markets or backwardated futures contracts, the actual risk capital deployed in a position—whether long or short—remains positive. A short equity position or a leveraged long commodity futures position retains measurable capital exposure even if the reference price becomes negative, yet conventional pricing models fail to capture this reality.

The proposed estimator, when tested against closing prices from the CL 2020K Crude Oil contract, demonstrated material outperformance relative to standard exponential weighted moving averages (EWMA). In the chart presented, the actual closing price (depicted in blue) breached into negative territory during peak market dysfunction. A conventional EWMA with a span of four periods (orange line) followed price action downward into negative levels, rendering the metric useless for risk calculations. By contrast, the new estimator (green line) remained in positive territory throughout the same period, producing realistic price approximations that preserved analytical utility.

The research represents a practical solution to an edge case that exposed significant vulnerabilities in quantitative investment infrastructure. As commodity derivatives markets experience greater volatility and structural stress, portfolio managers relying on automated pricing, position sizing, and return attribution systems require robust estimators capable of functioning across the full distribution of potential market outcomes. This work establishes both the conceptual framework and mathematical foundation for that capability in futures and leveraged trading contexts.

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Investresolve Novel Price Estimator Guaranteed to Produce Non-Negative Prices