The continuous-time version of Kyle's (1985) model of asset pricing with asymmetric information is studied, and generalized in various directions, i.e., by allowing time-varying noise trading, and by allowing the orders of the noise traders to be correlated with the insider's signal. From rather...

We use a white noise approach to Malliavin calculus to prove the following white noise generalization of the Clark-Haussmann-Ocone formula \[F(\omega)=E[F]+\int_0^TE[D_tF|{\cal F}_t]\diamond W(t)dt\] Here $E[F]$ denotes the generalized expectation, $D_tF(\omega)={{dF}\over{d\omega}}$ is the...

In many countries, traditional life insurance products include a fixed percentage guarantee on each year's return. This article presents a model for the valuation of life insurance contracts including a guaranteed minimum return. The model is based on the notion of no arbitrage opportunities...

In this paper we solve an optimal stopping problem with an infinite time horizon, when the state variable follows a jump-diffusion. Under certain conditions our solution can be interpreted as the price of an American perpetual put option, when the underlying asset follows this type of process....

Consider a traditional life insurance contract paid with a single premium. In addition to mortality factors, the relationship between the fixed amount of benefit and the single premium depends on the interest rate (calculation rate). The calculation rate can be interpreted as the average rate...

This paper presents a valuation theory of futures contracts and derivatives on such contracts when the underlying delivery value follows a stochastic process containing jumps of random claim sizes at random time points of accident occurrence. Applications of the theory are made on insurance...

Motivated by the problems of the conventional model in rationalizing market data, we derive the equilibrium interest rate and risk premiums using recursive utility in a continuous time model. We consider the version of recursive utility which gives the most unambiguous separation of risk...

We study the recursive model of Epstein and Zin. We use directional derivatives to derive the model, and calibrate to the data of Mehra and Prescott (1985). By assuming that we can view income streams as dividends of some shadow asset, the model is valid if the market portfolio is expanded to...

We derive the equilibrium interest rate and risk premiums using recursive utility with heterogeneity in a continuous time model. We solve the associated sup-convolution problem, and obtain explicit closed form solutions. The heterogeneous two-agent model is calibrated to the data of Mehra and...

We study a rational expectations' competitive equilibrium in a production economy, i.e., a system of prices at which firms' profit maximizing production decisions and individuals' preferred affordable consumption choices equate supply and demand in every market. We derive the equilibrium price...