Stochastic Control in Insurance

Until now, solved examples of the application of stochastic control to actuarial problems could only be found in journals - this is the first book to systematically present these methods in one volume. The author starts with a short introduction to stochastic control techniques. Then he applies the principles to several problems in actuarial mathematics. These examples show how verification theorems and existence theorems may be proved - they also show that, in contrast to general belief, the non-diffusion case is simpler than the diffusion case. In the last part of the book, applied probability techniques are used to determine the asymptotics of the controlled stochastic process. This book also includes a number of appendices to supplement the main material of the book - and will be suitable for graduate and postgraduate students of actuarial and financial mathematics, as well as researchers, and practitioners in insurance companies and banks who wish to use these techniques in their work.