搜索结果: 1-13 共查到“经济学 Asymptotics”相关记录13条 . 查询时间(0.078 秒)
Second Order Multiscale Stochastic Volatility Asymptotics: Stochastic Terminal Layer Analysis & Calibration
Second Order Multiscale Stochastic Volatility Asymptotics Stochastic Terminal Layer Analysis Calibration
2012/9/14
Multiscale stochastic volatility models have been developed as an efficient way to capture the principle effects on derivative pricing and portfolio optimization ofrandomly varying volatility. The rec...
Asymptotics for Exponential Levy Processes and their Volatility Smile: Survey and New Results
Exponential Levy processes short-time asymptotics long-time asymp-totics implied volatility Lewis-Lipton formula.
2012/9/14
Exponential Levy processes can be used to model the evolution of various nancial variables such as FX rates, stock prices, etc. Considerable e orts have been devoted to pricing derivatives written o...
Asymptotics and Duality for the Davis and Norman Problem
Asymptotics Duality Davis Norman Problem
2010/10/22
We revisit the problem of maximizing expected logarithmic utility from consumption over an infinite horizon in the Black-Scholes model with proportional transaction costs, as studied in the seminal p...
Small-time asymptotics for fast mean-reverting stochastic volatility models
Small-time asymptotics fast mean-reverting stochastic volatility models
2010/10/21
In this paper, we study stochastic volatility models in regimes where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor. The problem falls in the...
Asymptotics of Random Contractions
Random contractions random scaling Conditional Tail Expectation
2010/10/21
In this paper we discuss the asymptotic behaviour of random contractions $X=RS$, where $R$, with distribution function $F$, is a positive random variable independent of $S\in (0,1)$. Random contracti...
Approximations and asymptotics of upper hedging prices in multinomial models
Black-Scholes-Barenblatt equation contingent claim Cox-Ross-Rubinstein
2010/10/21
We give an exposition and numerical studies of upper hedging prices in multinomial models from the viewpoint of linear programming and the game-theoretic probability of Shafer and Vovk. We also show t...
Small-Time Asymptotics of Option Prices and First Absolute Moments
option price absolute moment small-time asymptotics approximation
2010/10/20
We study the leading term in the small-time asymptotics of at-the-money call option prices when the stock price process $S$ follows a general martingale. This is equivalent to studying the first cent...
Risk Aversion Asymptotics for Power Utility Maximization
power utility risk aversion asymptotics opportunity process
2010/10/19
We consider the economic problem of optimal consumption and investment with power utility. We study the optimal strategy as the relative risk aversion tends to infinity or to one. The convergence of ...
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...
Asymptotics of the probability minimizing a "down-side" risk
probability minimizing down-side risk
2010/10/18
We consider a long-term optimal investment problem where an investor tries to minimize the probability of falling below a target growth rate. From a mathematical viewpoint, this is a large deviation ...
Exact Pricing Asymptotics of Investment-Grade Tranches of Synthetic CDO's Part I: A Large Homogeneous Pool
Investment-Grade Tranches Large Homogeneous Pool
2010/10/29
We use the theory of large deviations to study the pricing of investment-grade tranches of
synthetic CDO's. In this paper, we consider a simpli ed model which will allow us to introduce some of the c...
Exact Pricing Asymptotics for Investment-Grade Tranches of Synthetic CDO's. Part II: A Large Heterogeneous Pool
Investment-Grade Tranches Synthetic CDO's
2010/10/29
We use the theory of large deviations to study the pricing of investment-grade tranches of synthetic CDO's. In this paper, we consider a heterogeneous pool of names. Our main tool is a large-deviation...
We obtain new closed-form pricing formulas for contingent claims when the asset follows a Dupire-type local volatility model. To obtain the formulas we use the Dyson-Taylor commutator method that we h...