This article develops precise connections among two general approaches to building interest rate models: a general equilibrium approach using a pricing kernel and the Heath, Jarrow, and Morton framework based on specifying forward rate volatilities and the market price of risk. The connections...

An important recent development in the pricing of interest rate derivatives is the emergence of models that incorporate lognormal volatilities for forward Libor or forward swap rates while keeping interest rates stable. These market models have three attractive features: they preclude arbitrage...

This paper develops methods for relating the prices of discrete- and continuous-time versions of path-dependent options sensitive to extremal values of the underlying asset, including lookback, barrier, and hindsight options. The relationships take the form of correction terms that can be...

Monte Carlo simulation has trouble with American options because the exercise decision at a given date must compare the option's immediate exercise value against its continuation value. The option value if it is not exercised is a function of its value along all possible future price paths from...

In this paper we present two direct methods, a pathwise method and a likelihood ratio method, for estimating derivatives of security prices using simulation. With the direct methods, the information from a single simulation can be used to estimate multiple derivatives along with a security's...

This paper studies the spread of losses and defaults in financial networks with two important features: collateral requirements and alternative contract termination rules in bankruptcy. When collateral is committed to a firm's counterparties, a solvent firm may default if it lacks sufficient...

This paper surveys the rapidly growing literature about interconnectedness and financial stability. The paper focuses on insights in the literature on the relationship between network structure and the vulnerability of the financial system to contagion

Counterparty risk measurement integrates two sources of risk: market risk, which determines the size of a firm's exposure to a counter party, and credit risk, which reflects the likelihood that the counterparty will default on its obligations. Wrong-way risk refers to the possibility that a...

Interconnections among financial institutions create potential channels for contagion and amplification of shocks to the financial system. We estimate the extent to which interconnections increase expected losses, with minimal information about network topology, under a wide range of shock...

This paper approaches risk management from three perspectives: firm-level risk measurement, governance and incentives, and systemic concerns. These are three essential dimensions of best practices in risk management; although we discuss each dimension separately, they are interrelated. The paper...