Indifference pricing for CRRA utilities

Indifference Pricing for Power Utilities

We study utility indifference pricing of claim streams with intertemporal consumption and power (CRRA) utilities. We derive explicit formulas for the derivatives of the utility indifference price with respect to claims and wealth. The simple structure of these formulas is a reflection of surprising operator identities for the derivatives of the optimal consumption stream. For example, the parti...

A note on heterogeneous beliefs with CRRA utilities

This note will extend the research presented in Brown & Rogers (2009) to the case of CRRA agents. We consider the model outlined in that paper in which agents had diverse beliefs about the dividends produced by a risky asset. We now assume that the agents all have CRRA utility, with some integer coefficient of relative risk aversion. This is a generalisation of Brown & Rogers (2009) which consi...

Utility Indifference Pricing - An Overview

Utility indifference pricing with market incompletness

Abstract. Utility indifference pricing and hedging theory is presented, showing how it leads to linear or to non-linear pricing rules for contingent claims. Convex duality is first used to derive probabilistic representations for exponential utility-based prices, in a general setting with locally bounded semi-martingale price processes. The indifference price for a finite number of claims gives...

Utility indifference pricing of insurance catastrophe derivatives

We propose a model for an insurance loss index and the claims process of a single insurance company holding a fraction of the total number of contracts that captures both ordinary losses and losses due to catastrophes. In this model we price a catastrophe derivative by the method of utility indifference pricing. The associated stochastic optimization problem is treated by techniques for piecewi...