The recent introduction of the realized variance measure defined as the sum of the squared intra-daily returns stamped on some high frequency basis has spurred the research in the field of volatility modeling and forecasting into new directions. First, the realized variance is a much better...

Within the structural approach for credit risk models we discuss the optimal exercise of the callable and convertible bonds. The Vasiček-model is applied to incorporate interest rate risk into the firm’s value process which follows a geometric Brownian motion. Finally, we derive pricing...

Within a default intensity approach we discuss the optimal exercise of the callable and convertible bonds. Pricing bounds for convertible bonds are derived in an uncertain volatility model, i.e. when the volatility of the stock price process lies between two extreme values.