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Pricing of barrier options by marginal functional quantization
Pricing barrier options marginal functional quantization
2011/1/4
This paper is devoted to the pricing of Barrier options by optimal quadratic quantization method. From a known useful representation of the premium of barrier options one deduces an algorithm similar ...
Measuring expectations in options markets: An application to the SP500 index
Nonparametric Bayes Dependent Dirichlet process European Options Implied Prices
2010/10/29
Extracting market expectations has always been an important issue when making national
policies and investment decisions in financial markets. In option markets, the most popular way has been to extr...
Morse Potential, Contour Integrals, and Asian Options
Morse Potential Contour Integrals Asian Options
2010/10/22
Completeness of the eigenfunctions of a quantum mechanical system is crucial for its probability interpretation. By using the method of contour integral we give properly normalized eigenfunctions for ...
American Options Pricing under Stochastic Volatility: Approximation of the Early Exercise Surface and Monte Carlo Simulations
American Options Pricing Stochastic Volatility
2010/10/21
The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem ...
Connecting discrete and continuous lookback or hindsight options in exponential Lévy models
Exponential L´ evy model Lookback option Continuity correction
2010/10/21
Motivated by the pricing of lookback options in exponential L\'evy models, we study the difference between the continuous and discrete supremum of L\'evy processes. In particular, we extend the result...
Analytical and Numerical Approaches to Pricing the Path-Dependent Options with Stochastic Volatility
Analytical Numerical Pricing Path-Dependent Options Stochastic Volatility
2010/10/21
In this paper new analytical and numerical approaches to valuating path-dependent options of European type have been developed. The model of stochastic volatility as a basic model has been chosen. Fo...
In this paper we analytically study the pricing of the arithmetically averaged Asian option in the path integral formalism. By a trick about the Dirac delta function, the measure of the path integral...
Optimal Timing to Purchase Options
optimal stopping delayed purchase premium martingale measures
2010/10/21
We study the timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timi...
We performed a comprehensive analysis on the price bounds of CDO tranche options, and illustrated that the CDO tranche option prices can be effectively bounded by the joint distribution of default tim...
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...
Error Estimates for Multinomial Approximations of American Options in Merton's Model
Error Estimates Multinomial Approximations American Options Merton's Model
2010/10/19
We derive error estimates for multinomial approximations of American options in a multidimensional jump--diffusion Merton's model. We assume that the payoffs are Markovian and satisfy Lipschitz type c...
Shortfall Risk Approximations for American Options in the multidimensional Black--Scholes Model
Shortfall Risk Approximations American Options multidimensional Black--Scholes Model
2010/10/19
We show that shortfall risks of American options in a sequence of multinomial approximations of the multidimensional Black--Scholes (BS) market converge to the corresponding quantities for similar Ame...
On the Penalisation Error for American Options in a Jump Model
American Option Jump-Di usion Model Penalty Method
2010/10/21
We consider the pricing of American options in a model where the underlying asset is assumed to follow a jump diffusion process. The option value can be expressed as the solution to a variational ineq...
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...
Regularity of the Exercise Boundary for American Put Options on Assets with Discrete Dividends
Exercise Boundary Assets Discrete Dividends
2010/11/3
We analyze the regularity of the optimal exercise boundary for the American Put option
when the underlying asset pays a discrete dividend at a known time td during the lifetime of
the option. The ex...