Abstract: In this work, we solve the problem of optimal investment for the hedging of a European option with a portfolio made up of three financial assets: A risky asset of price St , an asset that we qualify as "semi-risky" whose price S ∗ t is a deterministic function of a stochastic interest rate rt and finally, a non-risky asset of price S 0 t . We assume that the payoff Π of the option at maturity date T does not only depend on the strike price ST of the underlying risky asset but also on an unobservable random variable B representing all uncertain events related to the market environment. |
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