This paper presents an arbitrage-free valuation model for a credit risky security where credit risk coexists and interacts with an asset price bubble and liquidity risk (or liquidity costs). As an illustration, this model is applied to determine the fair rate for microfinance loans

We provide a new liquidity based model for financial asset price bubbles that explains bubble formation and bubble bursting. The martingale approach (Cox and Hobson (2005), Jarrow et al. (2007)) to modeling price bubbles assumes that the asset's market price process is exogenous and the...

This paper provides a mathematical analysis of how high frequency traders profi t from their speed with respect to the limit order book. We show that their pro ts can be decomposed into two components. The rest is due to their ability to execute market orders at limit order prices and without...

This paper derives an equilibrium asset pricing model with liquidity risk. Liquidity risk is modeled as a stochastic quantity impact on the price from trading, where the size of the impact depends on trade size. Under a mild set of assumptions, we prove that an equilibrium price process exists...

This paper studies an equilibrium model with heterogeneous agents, asset price bubbles, and trading constraints. Market liquidity is modeled as a stochastic quantity impact from trading on the price. Bubbles are larger in liquid markets and when trading constraints are more binding. Systemic...

This paper develops an arbitrage-free pricing theory for a term structure of fi xed income securities that incorporates liquidity risk. In our model, there is a quantity impact on the term structure of zero-coupon bond prices from the trading of any single zero-coupon bond. We derive a set of...