Think about a situation, where a financial institution has multiple option positions, each written on a different underlying asset, and the unexpected arrival of market-wide news shakes the markets. In the case of such a market-wide news arrival, all the volatility models on different...

This study examines how calibrated stochastic volatility models maintain their option pricing performance over subsequent days. Specifically, using a number of sets of single and multi-day data, different loss functions, and regularization techniques, we examine the dynamics of the pricing...

This paper proposes a unified framework for option pricing, which integrates the stochastic dynamics of interest rates, dividends, and stock prices under the transversality condition. Using the Vasicek model for the spot rate dynamics, we compare our framework with two existing models. The main...

In informationally efficient financial markets, option prices and this implied volatility should immediately be adjusted to new information that arrives along with a jump in underlying's return, whereas gradual changes in implied volatility would indicate market inefficiency. Using...

We develop a novel, option-based approach for detecting intraday jumps in stock prices. One of the components involved in intraday jump detection is instantaneous volatility, by which intraday returns are scaled. The existing intraday jump detection approaches assume that volatility does not...

In this paper, we provide a new framework for stock and options valuations by characterizing the joint dynamics of stock price, dividends, and volatility with the volatility feedback effect in continuous-time. Within our framework, we consider the properties of stock price and its dynamics with...