This paper establishes the second-order convergence rates of the continuous-time Markov chain (CTMC) approximation method for pricing continuously monitored occupation time derivatives (step options, conditional Asian options) and arithmetic Asian options and their Greeks. We fill the gap in the...

The price of a European option can be computed as the expected value of the payoff function under the risk-neutral measure. For American options and path-dependent options in general, this principle cannot be applied. In this paper, we derive a model-free analytical formula for the implied...

We provide evidence of a strong effect of the underlying stock's illiquidity on option prices by showing that the average absolute difference between historical and implied volatility increases with stock illiquidity. This pattern translates into significant excess returns of option trading...

We study the real-time characteristics and drivers of jumps in option prices. To this end, we employ high frequency data from the 24-hour E-mini S&P 500 options market. We find that option prices do not jump simultaneously across strikes and maturities and are uncorrelated with jumps in the...

We investigate the effect of including variance derivatives as calibration and hedging instruments for pricing and hedging exotic structures. This is studied empirically using market data for SPX and VIX derivatives applied in a stochastic volatility jump diffusion model

Financial markets exhibit high levels of volatility. Volatile markets are usually associated with high risks and uncertain investment returns. Financial institutions therefore, usually opt to hedge their investment portfolios against the high volatility using a suitable hedging structure. One...

This paper empirically examines whether asset's liquidity can help resolve the known strike-price biases of the Black-Scholes model for different liquidity measures based on trading volume, bid-ask spread and the Amihud's ILLIQ. Our results indicate that, when the underlying asset or its...

In this paper we represent alternative approach for exotics options valuation problem. We study the time-space discrete valuation setting that usually referred to as the binomial scheme if states are two. The main distinction of the alternative pricing approach is that we interpret price of the...

We propose a simple multidimensional jump-diffusion process for pricing exotic derivatives with multiple underlyings. This process ensures the possibility of sudden drops in asset prices, fits several well-known empirical properties of asset returns, and incorporates dependencies between...

This paper deals with the valuation of European and American put options in jump diffusion models. A new integral transform framework for solving the partial integro-differential equation (PIDE) inherent in pricing problems is proposed. In the case of European options the solution is a single...