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Root's Barrier: Construction, Optimality and Applications to Variance Options
Construction Optimality Applications Variance Options Pricing of Securities
2011/7/25
Abstract: Recent work of Dupire (2005) and Carr & Lee (2010) has highlighted the importance of understanding the Skorokhod embedding originally proposed by Root (1969) for the model-independent hedgin...
Approximating European Options by Rebate Barrier Options
European options Financial bubbles Local martingales Truncation approximation Convergence rate Barrier options
2011/3/23
When the underlying stock price is a strict local martingale process under an equivalent local martingale measure, Black-Scholes PDE associated with an European option may have multiple solutions. In ...
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...
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...
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...
Two stock options at the races: Black-Scholes forecasts
stock options races Black-Scholes forecasts
2010/10/20
Suppose one buys two very similar stocks and is curious about how much, after some time T, one of them will contribute to the overall asset, expecting, of course, that it should be around 1/2 of the s...
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...
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...
Error Estimates for Multinomial Approximations of American Options in Merton's Model
Multinomial Approximations American Options Merton's Model
2010/4/28
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
Black--Scholes American Options
2010/4/28
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...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusion model forward PIDE
2010/10/19
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...