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...

How important are volatility fluctuations for asset prices and the macroeconomy? We find that a rise in macroeconomic volatility is associated with a rise in discount rates and a decline in consumption. To study the impact of volatility we provide a framework in which cashflow, discount-rate,...

This paper derives an equilibrium capital asset pricing model (CAPM) in a market where asset prices can exhibit price jumps and price bubbles. We derive a generalized intertertemporal CAPM and consumption CAPM for these markets. The derived risk return relation differs from the classical results...

This paper provides a new explanation for closed-end fund (CEF) discounts and premiums using the local martingale theory of asset price bubbles. This is a rational asset pricing model that is shown to be consistent with the existing empirical evidence on CEF discounts/premiums. Additional...