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An Affine Term Structure Model with Auxiliary Stochastic Volatility-Covolatility
Term structure Stochastic volatility Wishart Autoregressive process
2011/4/2
This paper proposes an affine term structure model in a stochastic volatility setting. It provides a useful modeling tool to bridge the two strands of macroeconomic and finance research: the DSGE-VAR ...
Exotic derivatives under stochastic volatility models with jumps
Double-barrier options volatility surface volatility derivatives forward starting options
2010/11/3
In equity and foreign exchange markets the risk-neutral dynamics of the underlying asset are commonly represented by stochastic volatility models with jumps. In this paper we consider a dense subclass...
A path integral approach to closed-form option pricing formulas with applications to stochastic volatility and interest rate models
integral option pricing formulas applications stochastic volatility interest rate models
2010/12/20
We present a path integral method to derive closed-form solutions for option prices in a stochastic volatility model. The method is explained in detail for the pricing of a plain vanilla option. The f...
Option pricing under stochastic volatility: the exponential Ornstein-Uhlenbeck model
Option pricing stochastic volatility exponential Ornstein-Uhlenbeck model
2010/12/17
We study the pricing problem for a European call option when the volatility of the underlying asset is random and follows the exponential Ornstein-Uhlenbeck model. The random diffusion model proposed ...
ARCH and GARCH Models vs. Martingale Volatility of Finance Market Returns
ARCH GARCH Models Martingale Volatility Finance Market Returns
2010/12/17
ARCH and GARCH models assume either i.i.d. or (what economists lable as) white noise as is usual in regression analysis while assuming memory in a conditional mean square fluctuation with stationary ...
We will compare three types of prices, namely, rational (hedging) prices, geometric (growth rate) prices, and martingale (measure) prices. We will show that rational prices in the complete market theo...
Dynamic Equilibrium and Volatility in Financial Asset Markets
Dynamic Equilibrium Volatility Financial Asset Markets
2014/3/13
Dynamic Equilibrium and Volatility in Financial Asset Markets.