This paper studies the implications of absence of arbitrage in economies where: (i) trade takes place in transaction time, (ii) there is a single state variable whose transaction-time price path is binomial, (iii) there are riskfree bonds with calendar-time maturities, and (iv) the relation...

We provide a monotonic transformation of an initial diffusion with a level-dependent diffusion parameter that yields a second, deterministic parameter process. Altering the diffusion parameter while maintaining the original Brownian motion at the expense of the drift can be viewed as a...

Stocks with large increases in call implied volatilities over the previous month tend to have high future returns while stocks with large increases in put implied volatilities over the previous month tend to have low future returns. Sorting stocks ranked into decile portfolios by past call...

We prove a general version of the super-replication theorem, which applies to Kabanov’s model of foreign exchange markets under proportional transaction costs. The market is described by a matrix-valued càdlàg bid-ask process $$(\Pi_t)_{t\in [0,T]}$$ evolving in continuous time. We propose a...

Minimal discounted distorted expectations across a range of stress levels are employed to model risk acceptability in markets. Interactions between discounting and stress levels used in measure changes are accommodated by lowering discount rates for the higher stress levels. Acceptability...

The majority of risk adjusted performance measures (RAPM) currently in use – e.g., Treynor ratio, (?/?)) ratio, Omega index, RoVaR, ‘coherent’ preference criteria, etc. – are incompat- ible with any sensible utility function and would be best avoided. We argue instead for the assessment...