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Working Paper
Central Clearing and Systemic Liquidity Risk
By stepping between bilateral counterparties, central counterparties (CCPs) transform credit exposure, thereby improving financial stability. But, large CCPs are concentrated and interconnected with major global banks. Moreover, although they mitigate credit risk, CCPs create liquidity risks, because they require participants to provide cash. Such requirements increase with market volatility; consequently, CCP liquidity needs are inherently procyclical. This procyclicality makes it more challenging to assess CCPs’ resilience in the rare event that one or more large financial institutions ...
Working Paper
Central Clearing and Systemic Liquidity Risk
By stepping between bilateral counterparties, a central counterparty (CCP) transforms credit exposure. CCPs generally improve financial stability. Nevertheless, large CCPs are by nature concentrated and interconnected with major global banks. Moreover, although they mitigate credit risk, CCPs create liquidity risks, because they rely on participants to provide cash. Such requirements increase with both market volatility and default; consequently, CCP liquidity needs are inherently procyclical. This procyclicality makes it more challenging to assess CCP resilience in the rare event that one or ...
Working Paper
Risk and concentration in payment and securities settlement systems
Large value payment and securities settlement systems are important components of an economy's financial system. Many such systems are operated by central banks and are liquidity intensive. Central banks often provide inexpensive liquidity to facilitate settlement. This leads to a number of policy questions about the provision of such liquidity. To answer these questions, central banks need to understand what factors influence the timing of settlement. This paper offers a model to better understand intraday patterns of settlement and identifies three factors that influence the timing of ...
Working Paper
Solving stochastic money-in-the-utility-function models
This paper analyzes the necessary and sufficient conditions for solving money-in-the-utility-function models when contemporaneous asset returns are uncertain. A unique solution to such models is shown to exist under certain measurability conditions. Stochastic Euler equations, whose existence is normally assumed in these models, are then formally derived. The regularity conditions are weak, and economically innocuous. The results apply to the broad range of discrete-time monetary and financial models that are special cases of the model used in this paper. The method is also applicable to ...
Working Paper
Optimal Bidder Selection in Clearing House Default Auctions
Default auctions at central counterparties (or 'CCPs') are critically important to financial stability. However, due to their unique features and challenges, standard auction theory results do not immediately apply. This paper presents a model for CCP default auctions that incorporates the CCP's non-standard objective of maximizing success above a threshold rather than revenue, the key question of who participates in the auction and the potential for information leakage affecting private portfolio valuations. We show that an entry fee, by appropriately inducingmembers to participate or not, ...
Working Paper
Accurate Evaluation of Expected Shortfall for Linear Portfolios with Elliptically Distributed Risk Factors
We provide an accurate closed-form expression for the expected shortfall of linear portfolios with elliptically distributed risk factors. Our results aim to correct inaccuracies that originate in Kamdem (2005) and are present also in at least thirty other papers referencing it, including the recent survey by Nadarajah, Zhang, and Chan (2014) on estimation methods for expected shortfall. In particular, we show that the correction we provide in the popular multivariate Student t setting eliminates understatement of expected shortfall by a factor varying from at least 4 to more than 100 across ...
Working Paper
Linear cointegration of nonlinear time series with an application to interest rate dynamics
We derive a definition of linear cointegration for nonlinear stochastic processes using a martingale representation theorem. The result shows that stationary linear cointegrations can exhibit nonlinear dynamics, in contrast with the normal assumption of linearity. We propose a sequential nonparametric method to test first for cointegration and second for nonlinear dynamics in the cointegrated system. We apply this method to weekly US interest rates constructed using a multirate filter rather than averaging. The Treasury Bill, Commercial Paper and Federal Funds rates are cointegrated, with two ...
Working Paper
Central Clearing and Systemic Liquidity Risk
By stepping between bilateral counterparties, a central counterparty (CCP) transforms credit exposure. CCPs generally improve financial stability. Nevertheless, large CCPs are by nature concentrated and interconnected with major global banks. Moreover, although they mitigate credit risk, CCPs create liquidity risks, because they rely on participants to provide cash. Such requirements increase with both market volatility and default; consequently, CCP liquidity needs are inherently procyclical. This procyclicality makes it more challenging to assess CCP resilience in the rare event that one or ...