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Binary relations representable by utility functions with multiplicative error are considered. It is proved that if the error is a power of utility then the underlying binary relation is either an int...
This work addresses the problem of optimal pricing and hedging of a European option on an illiquid asset Z using two proxies: a liquid asset S and a liquid European option on another liquid asset Y. W...
This work focuses on the indifference pricing of American call option underlying a non-traded stock, which may be partially hedgeable by another traded stock. Under the exponential forward measure, th...
This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute ...
The utility-based pricing of defaultable bonds in the case of stochastic intensity models of default risk is discussed. The Hamilton-Jacobi- Bellman (HJB) equations for the value functions is derived....
Insurance companies often include very long-term guarantees in par-ticipating life insurance products, which can turn out to be very valuable.Under a guaranteed annuity options (g.a.o.), the insurer g...
The purpose of the article below is to explain the concept of homogeneity, the basis for the law of diminishing marginal utility. We will not rely on a psychological definition as Block (1980) does....
In the context of an incomplete market with a Brownian filtration and a fixed finite time horizon T , this paper proves that for general dynamic convex risk measures, the buyer’s (pbuyer t ) and selle...
For utility functions u finite valued on R, we prove a duality formula for utility maximization with random endowment in general semimartingale incomplete markets. The main novelty of the paper is th...

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