An enhanced option pricing framework that makes use of both continuous and discontinuous time paths based on a geometric Brownian motion and Poisson-driven jump processes respectively is performed in order to better fit with real-observed stock price paths while maintaining the analytical...

In this paper we propose semi-closed-form solutions, subject to an inversion of the Fourier transform, for the price of VIX options and target volatility options (TVOs) under affine GARCH models based on Gaussian and Inverse Gaussian distributions. We illustrate the advantage of the proposed...

We synthetically create option contracts on a corporate bond index using CDX swaptions, overcoming the limitations that stem from the lack of traded corporate bond options. Our approach allows us to estimate forward-looking moments concerning the corporate bond market in a model-free manner. By...

The stock options implied volatility skew reflects both the structural risk characteristics of the underlying company and the short-term information flow about the stock price movement. This paper builds a semi-structural cross-sectional option pricing model to separate the structural risk...

This paper analyzes the valuation of day-ahead Physical Transmission Rights (PTRs) on the German-Dutch interconnector. From a financial perspective, PTRs are options written on the difference between the German and Dutch hourly electricity prices. We propose a model for the valuation of...

• It is not widely emphasized in the literature that derivatives are complex random quantities which should, by custom, be characterized by their probability density functions. • It is understood that Black-Scholes style of derivatives pricing represents an expected value, i.e. the...

Asian VaR and coherent Asian Expected Shortfall are an improvement over current methods, measuring more accurately financial portfolio market and liquidity risks. Risk to LIQUIDATION</I> means every day a portion of portfolio assets-i (i = 1 to H_i) is unwound; thus the final unwind price is the sum...

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the asset is driven by Brownian motion, an associated "master...

We analyze the impact of funding costs and margin requirements on prices of index options traded on the CBOE. We propose a model that gives upper and lower bounds for option prices in the absence of arbitrage in an incomplete market with differential borrowing and lending rates. We show that...

The 1987 stock market crash occurred with minimal impact on observable economic variables (e.g., consumption), yet dramatically and permanently changed the shape of the implied volatility curve for equity index options. Here, we propose a general equilibrium model that captures many salient...