In this paper, we present a new method for pricing and hedging American options along with an efficient implementation procedure. The proposed method is efficient and accurate in computing both option values and various option hedge parameters. We demonstrate the computational accuracy and...

Recent work has suggested that strategic underperformance of debt-service obligations by equity holders can resolve the gap between observed yield spreads and those generated by Merton (1974)-style models. We show that this is not quite correct. The value of the option to underperform on...

We present a cash-flow based model of corporate debt valuation that incorporates two novel features. First, we allow for the separation and optimal determination of the firm's debt-service and dividend policies; in particular, the firm is allowed to maintain cash reserves to meet future debt...

Recent work has suggested that strategic underperformance of debt-service obligations by equity holders can resolve the gap between observed yield spreads and those generated by Merton-style models. We show that this is not quite correct. The value of the option to underperform on debt-service...

The low-rank matrix completion problem can be solved by Riemannian optimization on a fixed-rank manifold. However, a drawback of the known approaches is that the rank parameter has to be fixed a priori. In this paper, we consider the optimization problem on the set of bounded-rank matrices. We...