Starting with observable annually compounded forward rates we derive a term structure model of interest rates. The model relies upon the assumption that a specific set of annually compounded forward rates is log-normally distributed. We derive solutions for interest rate caps and floors as well...

The basic model of financial economics is the Samuelson model of geometric Brownian motion because of the celebrated Black-Scholes formula for pricing the call option. The assets volatility is a linear function of the asset value and the model garantees positive asset prices. In this paper it is...

This paper considers multiple market agents who have distinct distributional opinions about the state price density. Different opinions can be contested on a hypothetical market that trades Arrow-Debreu securities. We focus on the situation when the agents are maximizing logarithmic utility as...

The paper contributes to the stochastic volatility literature by developing simulation schemes for the conditional distributions of the price of long term bonds and their variability based on non-standard distributional assumptions and volatility concepts; itillustrates the potential value of...

We model the dynamics of asset prices and associated derivatives by considerationof the dynamics of the conditional probability density process for the value of an assetat some specied time in the future. In the case where the asset is driven by Brownianmotion, an associated \master equation"...

We study a new class of three-factor affine option pricing models with interdependent volatilitydynamics and a stochastic skewness component unrelated to volatility shocks. Theseproperties are useful in order (i) to model a term structure of implied volatility skews moreconsistent with the data...

We will present a model to compute a lower bound for the price of this option. The model, represented by a non-linear parabolic PDE, is implemented with finite elements in order to demonstrate the results with several derivatives from the European market.

This paper derives optimal perfect hedging portfolios in the presence of transaction costs within the binomial model of stock returns, for a market maker that establishes bid and ask prices for American call options on stocks paying dividends prior to expiration.(...)

This paper shows a simple approach to the pricing of options on spread and some arguments in favor of modelling the spread using its two components instead of the spread itself.

This paper considers the option pricing when dynamic portfolios are discretely rebalanced.