In arbitrage-free but incomplete markets, the equivalent martingale measure Q for pricing traded assets is not uniquely determined. A possible approach when it comes to choosing a particular pricing measure is to consider the one that is "closest" to the physical probability measure P, where...

This paper addresses the problem of dynamic asset allocation under a bounded shortfall risk in a market composed of three assets: cash, stocks and a zero coupon bond. The dynamics of the instantaneous short rates is driven by a Hull and White model. In this setting, we determine and compare...

The constant proportion portfolio insurance is a dynamic strategy of investment protecting a fund against a fall of its market value below a predetermined floor. In this work, we revisit the CPPI under the assumption that the risky asset is a stochastic process whose the average return and...