Paper: arXiv 2404.11745

Authors: Yichen Luo, Yebo Feng, Jiahua Xu, Paolo Tasca

Abstract

Total value locked (TVL) is widely used to measure the size and popularity of decentralized finance (DeFi). However, TVL can be easily manipulated and inflated through “double counting” activities such as wrapping and leveraging. As existing methodologies addressing double counting are inconsistent and flawed, we propose a new framework, termed “total value redeemable (TVR)”, to assess the true underlying value of DeFi. Our formal analysis reveals how DeFi’s complex network spreads financial contagion via derivative tokens, increasing TVL’s sensitivity to external shocks. To quantify double counting, we construct the DeFi multiplier, which mirrors the money multiplier in traditional finance (TradFi). This measurement reveals substantial double counting in DeFi, finding that the gap between TVL and TVR reached $139.87 billion during the peak of DeFi activity on December 2, 2021, with a TVL-to-TVR ratio of approximately 2. We conduct sensitivity tests to evaluate the stability of TVL compared to TVR, demonstrating the former’s significantly higher level of instability than the latter, especially during market downturns: A 25% decline in the price of Ether (ETH) leads to a $1 billion greater non-linear decrease in TVL compared to TVR via the liquidations triggered by derivative tokens. We also document that the DeFi money multiplier is positively correlated with crypto market indicators and negatively correlated with macroeconomic indicators. Overall, our findings suggest that TVR is more reliable and stable than TVL.

Complexity vs Empirical Score

  • Math Complexity: 5.5/10
  • Empirical Rigor: 7.5/10
  • Quadrant: Holy Grail — high math complexity, high empirical rigor

Why this score: This paper addresses a fundamental flaw in DeFi analytics by introducing Total Value Redeemable (TVR) and the DeFi Money Multiplier to account for rehypothecation and double counting. The empirical validation is strong, featuring historical network analysis and sensitivity stress-testing against market shocks, though full open-source replication details could be expanded.

Research Flowchart

  flowchart TD
    A["Research Goal: Assess DeFi Size & Financial Contagion<br>(TVL vs. Proposed TVR)"] --> B["Data Inputs: Peak DeFi Metrics<br>& ETH Shock Scenarios"]
    
    B --> C["Construct TVR Framework<br>& DeFi Money Multiplier"]
    
    C --> D["Quantitative & Sensitivity Analysis<br>(Simulating Asset Price Drops)"]
    
    D --> E["Key Finding 1: Mass Double Counting<br>($139.87B Gap at Peak; TVL/TVR Ratio ≈ 2)"]
    D --> F["Key Finding 2: Contagion & Volatility<br>(25% ETH Drop Causes $1B Extra TVL Loss via Liquidations)"]
    
    E --> G["Conclusion: TVR is More Reliable & Stable Metric Than TVL"]
    F --> G

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0 of 110 cited works are in the corpus; resolved via arXiv source bundles, Semantic Scholar and OpenAlex. Corpus-wide: 2518 linked papers.