Many efficient and accurate analytical methods for pricing American options now exist. However, while they can produce accurate option prices, they often do not give accurate critical stock prices. In this paper, we propose two new analytical approximations for American options based on the...

There is considerable interest in finding numerical methods to price Asian options. Tse and Mok (2009) have proposed a new very simple closed-form expression for the price of a fixed-strike Asian option. Unfortunately their formula is not correct. This note shows that it is incorrect and...

We present a fast and accurate algorithm for calculating prices of finite lived double barrier options with arbitrary terminal payoff functions under regime-switching hyper-exponential jump-diffusion models, which generalize Kou's model. Extensive numerical tests demonstrate excellent agreement...

I propose a simple generalization of put-call parity that holds for a large class of exotic European options. The result rests on a reasonable generalization of the concepts of put and call. The proof is based on the fundamental theorem of arbitrage pricing and elementary properties of real...

Arnold, Crack and Schwartz (ACS) (2010) generalize the Rubinstein (1994) risk-neutral implied binomial tree (R-IBT) model by introducing a risk premium. Their new risk-averse implied binomial tree model (RA-IBT) has both probabilistic and pricing applications. They use the RA-IBT model to...

Basket options are among the most popular products of the new generation of exotic options. This attraction is explained by the fact that they can efficiently and simultaneously hedge a wide variety of intrinsically different financial risks. They are flexible enough to include all the risks...

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...

We derive valuation formulas for caps and floors on backward-looking term rates in the Black-1976, Bachelier and Hull-White-1-Factor models explicitly regarding valuation in the fixing period, extending and detailing results of [Lyashenko & Mercurio 2019, Henrard 2019, Turfus 2020]. These...

Equity option markets exhibit intense trading activity. We use the variability of option implied volatility spread as a proxy for the impounding of new information, and changes in the interpretation of existing information, into option prices. Over the 2006 – 2016 period, we find that the...