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...

We consider an investor, with an uncertain life time, endowed with deterministic labor income, who has the possibility to continuously invest in a Black-Scholes market and to buy life insurance or annuities. We solve the optimal consumption, investment and life insurance problem when the...