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While stability lasts: A stochastic model of noncustodial stablecoins

While stability lasts: A stochastic model of noncustodial stablecoins

Abstract The “Black Thursday” crisis in cryptocurrency markets demonstrated deleveraging risks in over‐collateralized noncustodial stablecoins. We develop a stochastic model that helps explain deleveraging crises in these over‐collateralized systems. In our model, the stablecoin supply is decided by speculators who optimize the profitability of a leveraged position while incorporating the …