We survey some new progress on the pricing models driven by fractional Brownian motion or mixed fractional Brownian motion. In particular, we give results on arbitrage opportunities, hedging, and option pricing in these models. We summarize some recent results on fractional Black & Scholes pricing model with transaction costs. We end the paper by giving some approximation results and indicating...

The paper proposes the use of the growth optimal portfolio for pricing and hedging in incomplete markets when there are unobserved factors that have to be filtered. The proposed filtering framework is applicable also in cases when there does not exist an equivalent risk neutral martingale measure. The reduction of the variance of derivative prices for increasing degrees of available information...

In this companion paper to “Optimal Investment with Transaction Costs and Stochastic Volatility Part I: Infinite Horizon”, we give an accuracy proof for the finite time optimal investment and consumption problem under fast mean-reverting stochastic volatility of a joint asymptotic expansion in a time scale parameter and the small transaction cost. AMS subject classification 91G80, 60H30. JEL su...

This note explores the analogy between the dynamics of the interest rate term structure and the implied volatility surface of a stock. In particular, we prove an impossibility theorem conjectured by Steve Ross. Implied volatility and smile asymptotics and long rates JEL Classification: G13 Mathematics Subject Classification (2000): 60G44, 91B70

 Up to now, the impact of real exchange rate on the non-oil exports of Iran has been mainly on focus. However, the more important aspect of the fluctuations in exchange rate is its degree of volatility which can have profound effect on the non-oil exports. Hence, the main objective of this paper is to investigate the linkage between non-oil exports and the real exchange rate volatility for Iran...

this paper examines the impact of 2005 presidential election of iran on the tehran stock exchange volatility as a political shock. it uses garch family (fiegarch, egarch, and garch) and markov regime switching (mrs) models as the analytical frameworks for the main the stock daily prices index. our findings confirm statistical validity of arima – fiegarch-x and ar(1) mrs as appropriate specifica...

We extend the vector autoregression (VAR) based expectations hypothesis test of term structure, considered in Bekaert & Hodrick (2001) using recent developments in bootstrap literature. Modifications include the use of wild bootstrap to allow for conditional heteroskedasticity in the VAR residuals without imposing strict parameterization, endogeneous model selection procedure in the bootstrap r...

We model the behavior of Nasdaq momentum traders, also known as SOES bandits. We show, all things being equal, that the profitability of SOES bandits decreases in the bid-ask spread, but increases in the effective tick size. The patterns we observe in the data provide support for the model. We then discuss the plausibility of odd-eighth tick avoidance by market makers as a defense against SOES ...

The use of GARCH models with stable Paretian innovations in financial modeling has been recently suggested in the literature. This class of processes is attractive because it allows for conditional skewness and leptokurtosis of financial returns without ruling out normality. This contribution illustrates their usefulness in predicting the downside risk of financial assets in the context of mode...

We comprehensively examine the effects of stock return volatility on firms’ financial and investment decisions. Consistent with theories of investment with financing frictions, firms with high volatility actively reduce their leverage, cut investment, increase cash holding, cut non-cash current assets such as inventories and account receivables, and cut dividend. The effects of volatility are s...