Utility Indifference Pricing and Other Topics

In this chapter we discuss two methods of pricing in incomplete markets, based on utility functions. This theory comes in the shape of a global and a local version. Both versions are discussed, and for the local version we connect to the theory of stochastic discount factors and equilibrium theory.

Company stock rewards on the evaluation of investor’s remuneration package with stochastic income

We consider a risk averse investor as are who has a bond, is rewarded with [Formula: see text] units of company stock option and is endowed with stochastic income. First, we derive and analyzes the optimal investment threshold and investment value function of the investor. Second, we determine a remuneration package and the utility indifference pricing of this risk averse investor and analyze the results for two utility functions; the exponential and logarithmic utilities. From these results, we conclude that the more units of company stock the investor receives, the higher the chances of increasing the total wealth or profit.