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Improved Frechet bounds and model-free pricing of multi-asset options
copulas Frechet-Hoeffding bounds concordance order
2010/10/19
We compute the improved bounds on the copula of a bivariate random vector when partial information is available, such as the values of the copula on the subset of $[0,1]^2$, or the value of a function...
Mean-Variance Hedging for Pricing European Options Under Assumption of Non-continuous Trading
Pricing European Options Non-continuous Trading
2010/10/20
We consider a portfolio with call option and the corresponding underlying asset under the standard assumption that stock-market price represents a random variable with lognormal distribution. Minimizi...
Applications of time-delayed backward stochastic differential equations to pricing, hedging and management of financial and insurance risks
backward stochastic differential equations participating contracts
2010/10/20
In this paper we investigate novel applications of a new class of equations which we call time-delayed backward stochastic differential equations. Time-delayed BSDEs may arise when we want to find a ...
Pricing in an equilibrium based model for a large investor
large investor liquidity utility optimization equilibrium
2010/10/21
We study a financial model with a non-trivial price impact effect. In this model we consider the interaction of a large investor trading in an illiquid security, and a market maker who is quoting pric...
No-arbitrage pricing under cross-ownership
Absolute priority rule capital structure irrelevance contingent claims
2010/10/20
We generalize Merton's asset valuation approach to systems of multiple financial firms where cross-ownership of equities and liabilities is present. The liabilities, which may include debts and deriva...
Mean-Variance Hedging for Pricing European Options Under Assumption of Non-continuous Trading
Mean-Variance Hedging Pricing European Options Non-continuous Trading
2010/4/28
We consider a portfolio with call option and the corresponding underlying asset under the standard assumption that stock-market price represents a random variable with lognormal distribution. Minimizi...
Improved Frechet bounds and model-free pricing of multi-asset options
copulas Frechet-Hoeffding bounds concordance order basket options
2010/4/28
We compute the improved bounds on the copula of a bivariate random vector when partial information is available, such as the values of the copula on the subset of $[0,1]^2$, or the value of a function...
Explicit solutions for the exit problem for a class of Lévy processes. Applications to the pricing of double barrier options
Explicit solutions for the exit problem class Lévy processes Applications pricing double barrier options
2010/10/19
Lewis and Mordecki have computed the Wiener-Hopf factorization of a L\'evy process whose restriction on $]0,+\infty[$ of their L\'evy measure has a rational Laplace transform. That allows to compute ...
Adiabaticity Conditions for Volatility Smile in Black-Scholes Pricing Model
Volatility smile Black-Sholes model no-arbitrage conditions
2010/10/19
Our derivation of the distribution function for future returns is based on the risk neutral approach which gives a functional dependence for the European call (put) option price, C(K), given the stri...
Asymptotics and Exact Pricing of Options on Variance
Asymptotics Exact Pricing Options Variance
2010/10/19
We consider the pricing of derivatives written on the discrete realized variance of an underlying security. In the literature, the realized variance is usually approximated by its continuous-time limi...
Explicit solutions for the exit problem for a class of Lévy processes. Applications to the pricing of double barrier options
Explicit solutions exit problem Lévy processes
2010/4/27
Lewis and Mordecki have computed the Wiener-Hopf factorization of a L\'evy process whose restriction on $]0,+\infty[$ of their L\'evy measure has a rational Laplace transform. That allows to compute t...
Information Asymmetry in Pricing of Credit Derivatives
Information Asymmetry Pricing Credit Derivatives
2010/10/18
We study the pricing of credit derivatives with asymmetric information. The managers have complete information on the value process of the firm and on the default threshold, while the investors on the...
Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
option pricing jump diffusion models
2010/10/18
In mathematical finance a popular approach for pricing options under some Levy model is to consider underlying that follows a Poisson jump diffusion process. As it is well known this results in a par...
Pricing options in illiquid markets: optimal systems, symmetry reductions and exact solutions
Pricing options illiquid markets optimal systems symmetry reductions
2010/10/18
We study a class of nonlinear pricing models which involves the feedback effect from the dynamic hedging strategies on the price of asset introduced by Sircar and Papanicolaou. We are first to study ...
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...