Many pension funds and life insurers seek to hedge their exposure to low interest rates using long-dated interest rate derivatives. This paper extends an approach of Platen and Heath 2006 to price and hedge long-dated interest rate derivatives using a combination of Australian cash, bonds and...

This paper proposes a consistent approach to discrete time valuation in insurance and finance. This approach uses the growth optimal portfolio as references unit or benchmark. When used as benchmark, it is shown that all benchmarked price processes are supermartingales.