Stock and bond returns since 1802 -- Risk, return, and portfolio allocation : why stocks are less risky than bonds in the long-run -- Stock indexes: proxies for the market -- The S&P 500 index: a half-century of U.S. corporate history -- The impact of taxes on stock and bond returns : stocks...

Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...

In both complete and incomplete markets we consider the problem of fulfilling a financial obligation xc as well as possible at time T if the initial capital is not sufficient to hedge xc. This introduces a new risk into the market and our main aim is to minimize this shortfall risk by making use...