This paper attempts to determine the certainty equivalent of an uncertain future cash flow or value through the option pricing method, and builds models of certainty equivalent and certainty equivalent coefficient. Based on the model of certainty equivalent coefficient, this paper further derives models of risk premium and risk-adjusted discount rate. The latter is a new capital asset pricing m...

We provide a comprehensive treatement of option pricing with particular emphasis on the valuation of American options on dividend-paying assets. We begin by reviewing valuation principles for European contingent claims in a financial market in which the underlying asset price follows an Itô process and the interest rate is stochastic. Then this analysis is extended to the valuation of American ...

In the setting of ‘‘affine’’ jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for intensity-based models of default, as we...

We describe a stochastic dynamic programming approach for “real option” based valuation of electricity generation capacity incorporating operational constraints and startup costs. Stochastic prices of electricity and fuel are represented by recombining multinomial trees. Generators are modeled as a strip of cross commodity call options with a delay and a cost imposed on each option exercise. We...

The disposition effect is a phenomenon in which investors hold onto losing assets longer than they hold onto gaining assets. In this study, we used functional magnetic resonance imaging (fMRI) to measure the response of valuation regions in the brain during the decision to keep or to sell an asset that followed a random walk in price. The most common explanation for the disposition effect is pr...

2 Basic Theory 4 2.1 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Arbitrage, State Prices, and Martingales . . . . . . . . . . . . 5 2.3 Individual Agent Optimality . . . . . . . . . . . . . . . . . . . 8 2.4 Habit and Recursive Utilities . . . . . . . . . . . . . . . . . . . 9 2.5 Equilibrium and Pareto Optimality . . . . . . . . . . . . . . . 12 2.6 Equilibrium ...

This paper will review and critique the recent telecommunications proxy cost models that have been developed for the industry. While these cost models go into great detail on the engineering aspect of the telephone network, they lack a fundamental understanding of economics and finance, i.e. they fail to apply the appropriate, traditional techniques of engineering economics. Some do not use dis...

This paper develops a nonparametric option pricing theory and numerical method for European, American and path-dependent derivatives. In contrast to the nonparametric curve fitting techniques commonly seen in the literature, this nonparametric pricing theory is more in line with the canonical valuation method developed Stutzer (1996) for pricing options with only a sample of asset returns. Unli...