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Indifference Pricing of American Option Underlying Illiquid Stock under Exponential Forward Performance
Stochastic control generalized verification theorem portfolio optimization indifference pricing exponential forward performance
2012/3/2
This work focuses on the indifference pricing of American call option underlying a non-traded stock, which may be partially hedgeable by another traded stock. Under the exponential forward measure, th...
Constant Proportion Portfolio Insurance (CPPI) is an investment strategy designed to give par-
ticipation in the performance of a risky asset while protecting the invested capital. This protection is...
In this paper we introduce a simple continuous-time asset pricing framework, based on general multidimensional diffusion processes, that combines semi-analytic pricing with a nonlinear specification f...
Study of the risk-adjusted pricing methodology model with methods of Geometrical Analysis
transaction costs invariant reductions exact solutions singular perturbation
2010/11/2
Families of exact solutions are found to a nonlinear modification of the Black-Scholes equation. This risk-adjusted pricing methodology model (RAPM) incorporates both transaction costs and the risk fr...
Pricing Bermudan options using nonparametric regression: optimal rates of convergence for lower estimates
Bermudan options Nonparametric regression Boundary condition；Suboptimal stopping rule
2010/11/1
The problem of pricing Bermudan options using Monte Carlo and a nonparametric regression is considered. We derive optimal nonasymptotic bounds for a lower biased estimate based on the suboptimal stopp...
Pricing and Hedging Asian Basket Options with Quasi-Monte Carlo Simulations
Pricing Asian Basket Options Quasi-Monte Carlo Simulations
2010/11/1
In this article we consider the problem of pricing and hedging high-dimensional
Asian basket options by Quasi-Monte Carlo simulation. We assume a Black-Scholes market with time-dependent volatilities...
Robust pricing and hedging of double no-touch options
Robust pricing double no-touch options
2010/10/29
Double no-touch options, contracts which pay out a fixed amount provided an underlying asset remains within a given interval, are commonly traded, particularly in FX markets. In this work, we establis...
Adaptive-Wave Alternative for the Black-Scholes Option Pricing Model
Black–Scholes option pricing adaptive nonlinear Schr¨odinger equation
2010/11/2
A nonlinear wave alternative for the standard Black–Scholes option–pricing model is
presented. The adaptive-wave model, representing controlled Brownian behavior of financial
markets, is formally de...
On Asymptotic Power Utility-Based Pricing and Hedging
Utility-based pricing and hedging incomplete markets mean-variance hedging numeraire semimartingale characteristics
2010/11/3
Kramkov and Sîrbu [24, 25] have shown that first-order approximations of power utility-based prices and hedging strategies can be computed by solving amean-variance hedging problem under a speci...
This work aims at a deeper understanding of the mathematical implications of the economically-sound condition of absence of arbitrages of the first kind in a financial market. In the
spirit of the Fu...
Option pricing under Ornstein-Uhlenbeck stochastic volatility: a linear model
Econophysics Stochastic Volatility Monte Carlo Simulation Option Pricing Model Calibration
2010/11/1
We consider the problem of option pricing under stochastic volatility models, focusing on
the linear approximation of the two processes known as exponential Ornstein-Uhlenbeck
and Stein-Stein.