Alexander Melnikov
Department of Mathematical & Statistical Sciences,
University of Alberta, Edmonton
Efficient Hedging and Pricing of Equity-Linked Life
Insurance Contracts
Abstract
The talk is devoted to how hedging methodologies developed in the
modern financial mathematics can be exploited to price equity-linked
life insurance contracts. In this talk, pure endowment life insurance
contracts with fixed and flexible guarantees are considered. In our
setting they are based on some variants of the Black-Scholes model and
a jump-diffusion model for underlying risky assets. The main attention
is paid to new types of hedging (quantile and efficient hedging),
which, together with Black-Scholes and Margrabe formulae, create an
effective actuarial analysis of such mixed investment instruments.
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