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...