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Finance and Financial Management

2006

Stochastic volatility

Articles 1 - 2 of 2

Full-Text Articles in Business

Optimal Liquidation Strategies And Their Implications, Christopher Ting, Mitch Warachka, Yonggan Zhao Sep 2006

Optimal Liquidation Strategies And Their Implications, Christopher Ting, Mitch Warachka, Yonggan Zhao

Business Faculty Articles and Research

This paper studies optimal liquidation when the selling price depends on the rate of liquidation, transaction time, volume, and the asset's intrinsic value. A generic closed-form solution for maximizing the discounted liquidation proceeds is derived. To obtain financial insights, three parametric specifications that proxy for increasingly realistic market conditions are examined. In our framework, maximizing liquidation proceeds and minimizing liquidity costs are equivalent. The optimal strategies imply more rapid liquidations in less liquid markets. We also show that volatility is stochastic when market liquidity is unpredictable.


Using Gmm To Flatten The Option Volatility Smile, Tom Arnold Mar 2006

Using Gmm To Flatten The Option Volatility Smile, Tom Arnold

Finance Faculty Publications

By using an over-identified Generalized Method of Moments (GMM) estimation procedure with careful consideration for data biases existing in the previous literature, parameters are estimated for a stochastic volatility jump diffusion option pricing (SVJ) model. The estimated parameters indicate a statistically significant highly negative infrequent jump process in the underlying security return distribution consistent with market crashes. When comparing to a stochastic volatility (SV) option pricing model, the SVJ is more robust but not always the superior model. The robustness of the models is further gauged by evaluating performance up to a year beyond the estimation data.